
Time bar (total: 12.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 12 to 8 computations (33.3% saved)
ival-cosh: 12.0ms (41.5% of total)ival-div: 10.0ms (34.6% of total)ival-mult: 7.0ms (24.2% of total)const: 1.0ms (3.5% of total)backward-pass: 0.0ms (0% of total)| 876.0ms | 8256× | 0 | valid |
ival-cosh: 166.0ms (40.9% of total)ival-div: 162.0ms (39.9% of total)ival-mult: 68.0ms (16.7% of total)const: 7.0ms (1.7% of total)backward-pass: 3.0ms (0.7% of total)| 2× | egg-herbie |
| 1432× | fma-define |
| 1288× | *-lowering-*.f32 |
| 1288× | *-lowering-*.f64 |
| 1278× | fma-define |
| 1160× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 86 |
| 1 | 108 | 83 |
| 2 | 342 | 83 |
| 3 | 1245 | 83 |
| 4 | 4397 | 83 |
| 0 | 7 | 8 |
| 1 | 18 | 8 |
| 2 | 41 | 8 |
| 3 | 91 | 8 |
| 4 | 192 | 8 |
| 5 | 318 | 8 |
| 6 | 537 | 8 |
| 7 | 1162 | 8 |
| 8 | 2562 | 8 |
| 9 | 3282 | 8 |
| 10 | 3620 | 8 |
| 11 | 3683 | 8 |
| 12 | 3687 | 8 |
| 13 | 3687 | 8 |
| 14 | 3724 | 8 |
| 15 | 3735 | 8 |
| 16 | 3737 | 8 |
| 17 | 3742 | 8 |
| 18 | 3748 | 8 |
| 0 | 3748 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(/ (* (cosh x) (/ y x)) z) |
| Outputs |
|---|
(/ (* (cosh x) (/ y x)) z) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) |
| Inputs |
|---|
(/ (* (cosh x) (/ y x)) z) |
(/ (* (cosh (neg x)) (/ y (neg x))) z) |
(/ (* (cosh x) (/ (neg y) x)) z) |
(/ (* (cosh x) (/ y x)) (neg z)) |
(neg (/ (* (cosh (neg x)) (/ y (neg x))) z)) |
(neg (/ (* (cosh x) (/ (neg y) x)) z)) |
(neg (/ (* (cosh x) (/ y x)) (neg z))) |
(/ (* (cosh y) (/ x y)) z) |
(/ (* (cosh z) (/ y z)) x) |
(/ (* (cosh x) (/ z x)) y) |
| Outputs |
|---|
(/ (* (cosh x) (/ y x)) z) |
(* y (/ (/ (cosh x) x) z)) |
(/ (* (cosh (neg x)) (/ y (neg x))) z) |
(/ (/ (fnmadd (cosh x) y 0) x) z) |
(/ (* (cosh x) (/ (neg y) x)) z) |
(/ (/ (fnmadd (cosh x) y 0) x) z) |
(/ (* (cosh x) (/ y x)) (neg z)) |
(/ (/ (fnmadd (cosh x) y 0) x) z) |
(neg (/ (* (cosh (neg x)) (/ y (neg x))) z)) |
(* y (/ (/ (cosh x) x) z)) |
(neg (/ (* (cosh x) (/ (neg y) x)) z)) |
(* y (/ (/ (cosh x) x) z)) |
(neg (/ (* (cosh x) (/ y x)) (neg z))) |
(* y (/ (/ (cosh x) x) z)) |
(/ (* (cosh y) (/ x y)) z) |
(* x (/ (/ (cosh y) z) y)) |
(/ (* (cosh z) (/ y z)) x) |
(/ (* y (/ (cosh z) x)) z) |
(/ (* (cosh x) (/ z x)) y) |
(* (/ z x) (/ (cosh x) y)) |
(negabs x)
(negabs y)
(negabs z)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 30 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 8 | 0 | - | 0 | - | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (cosh.f64 x) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 y x) |
| 54.0ms | 512× | 0 | valid |
Compiled 63 to 23 computations (63.5% saved)
ival-div: 11.0ms (53% of total)ival-cosh: 6.0ms (28.9% of total)ival-mult: 4.0ms (19.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)Compiled 11 to 7 computations (36.4% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.3% | (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) |
| ▶ | 85.2% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 22 to 14 computations (36.4% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cosh.f64 x) y) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (cosh.f64 x) y) z) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 1668× | fma-define |
| 1360× | times-frac |
| 1288× | *-lowering-*.f32 |
| 1288× | *-lowering-*.f64 |
| 780× | fma-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 45 |
| 1 | 25 | 45 |
| 2 | 61 | 45 |
| 3 | 126 | 45 |
| 4 | 237 | 45 |
| 5 | 347 | 45 |
| 6 | 620 | 45 |
| 7 | 1517 | 45 |
| 8 | 3227 | 45 |
| 9 | 3817 | 45 |
| 10 | 4220 | 45 |
| 11 | 4289 | 45 |
| 12 | 4293 | 45 |
| 13 | 4348 | 45 |
| 14 | 4372 | 45 |
| 15 | 4379 | 45 |
| 16 | 4384 | 45 |
| 17 | 4388 | 45 |
| 0 | 4388 | 45 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* (cosh x) (/ y x)) z) |
(* (cosh x) (/ y x)) |
(cosh x) |
x |
(/ y x) |
y |
z |
(/ (/ (* (cosh x) y) z) x) |
(/ (* (cosh x) y) z) |
(* (cosh x) y) |
(cosh x) |
x |
y |
z |
| Outputs |
|---|
(/ (* (cosh x) (/ y x)) z) |
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) z) |
(* (cosh x) (/ y x)) |
(*.f64 y (/.f64 (cosh.f64 x) x)) |
(cosh x) |
(cosh.f64 x) |
x |
(/ y x) |
(/.f64 y x) |
y |
z |
(/ (/ (* (cosh x) y) z) x) |
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) z) |
(/ (* (cosh x) y) z) |
(*.f64 (/.f64 y z) (cosh.f64 x)) |
(* (cosh x) y) |
(*.f64 y (cosh.f64 x)) |
(cosh x) |
(cosh.f64 x) |
x |
y |
z |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 (cosh.f64 x) y) z) |
| ✓ | accuracy | 100.0% | (*.f64 (cosh.f64 x) y) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 93.3% | (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 96.9% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| ✓ | accuracy | 90.7% | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 47.0ms | 256× | 0 | valid |
Compiled 49 to 11 computations (77.6% saved)
ival-div: 20.0ms (74.4% of total)ival-mult: 3.0ms (11.2% of total)ival-cosh: 3.0ms (11.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* (cosh x) (/ y x)) z)> |
#<alt (* (cosh x) (/ y x))> |
#<alt (cosh x)> |
#<alt (/ y x)> |
#<alt (/ (/ (* (cosh x) y) z) x)> |
#<alt (/ (* (cosh x) y) z)> |
#<alt (* (cosh x) y)> |
| Outputs |
|---|
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<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)> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (/ y x)> |
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)> |
#<alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)> |
#<alt (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<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)> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (/ y z)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))> |
#<alt y> |
#<alt (+ y (* 1/2 (* (pow x 2) y)))> |
#<alt (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))> |
#<alt (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | 0 | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | x | @ | -inf | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | x | @ | inf | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | y | @ | -inf | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | y | @ | 0 | (/ (* (cosh x) (/ y x)) z) |
| 1× | batch-egg-rewrite |
| 4454× | /-lowering-/.f32 |
| 4454× | /-lowering-/.f64 |
| 4112× | *-lowering-*.f32 |
| 4112× | *-lowering-*.f64 |
| 1760× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 37 |
| 1 | 49 | 37 |
| 2 | 325 | 37 |
| 3 | 2999 | 37 |
| 0 | 8408 | 37 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (cosh x) (/ y x)) z) |
(* (cosh x) (/ y x)) |
(cosh x) |
(/ y x) |
(/ (/ (* (cosh x) y) z) x) |
(/ (* (cosh x) y) z) |
(* (cosh x) y) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x))))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) (cosh.f64 x))) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 (/.f64 z y) (cosh.f64 x))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x z))) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x z)) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) z) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) x) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z))) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (cosh.f64 x))) (/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 z (cosh.f64 x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 z (cosh.f64 x))) (/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 z (cosh.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) z)) (/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) z))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) z)) (/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) z)) (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) z))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 z (/.f64 #s(literal 2 binary64) (/.f64 y x)))) (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 z (/.f64 #s(literal 2 binary64) (/.f64 y x))))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64))) (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x z))) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x z))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (-.f64 #s(literal 0 binary64) z))) (/.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (-.f64 #s(literal 0 binary64) z)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (-.f64 #s(literal 0 binary64) z))) (/.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (-.f64 #s(literal 0 binary64) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 2 binary64) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) z)) (/.f64 (cosh.f64 x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y)) |
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) |
(/.f64 (cosh.f64 x) (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) z))) |
(/.f64 (cosh.f64 x) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x y)))) |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z))) |
(/.f64 y (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(/.f64 (/.f64 y x) (/.f64 z (cosh.f64 x))) |
(/.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) z)) |
(/.f64 (/.f64 y x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (-.f64 #s(literal 0 binary64) z)))) |
(/.f64 (/.f64 y (/.f64 x (cosh.f64 x))) z) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)))) |
(/.f64 (/.f64 (cosh.f64 x) (/.f64 z y)) x) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) z)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 z (/.f64 #s(literal 2 binary64) (/.f64 y x)))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (cosh.f64 x) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 x z))) |
(/.f64 (*.f64 (cosh.f64 x) (-.f64 #s(literal 0 binary64) y)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (*.f64 (cosh.f64 x) (-.f64 #s(literal 0 binary64) y)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z))))) |
(/.f64 (*.f64 (cosh.f64 x) (-.f64 #s(literal 0 binary64) y)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z)))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x (cosh.f64 x)))) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 x z) y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x (cosh.f64 x)) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 z y) (cosh.f64 x))) |
(/.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x)) |
(/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y (/.f64 x (cosh.f64 x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 x z) y))))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x z))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 z (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 x (*.f64 z #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 (*.f64 x z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x z)))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 z (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)) (neg.f64 (*.f64 (*.f64 x z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 x z)))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)) (neg.f64 (*.f64 z (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)) (neg.f64 (*.f64 x (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 x y)) (*.f64 z #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 x y)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 x y)) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) z)))) |
(/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (neg.f64 (/.f64 z (cosh.f64 x)))) |
(/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) z))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 2 binary64) (/.f64 y x)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) z))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 z (/.f64 #s(literal 2 binary64) (/.f64 y x))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (cosh.f64 x) x) (/.f64 z y)) |
(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x (cosh.f64 x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (cosh.f64 x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) (neg.f64 (/.f64 (*.f64 x z) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) (neg.f64 (*.f64 x (/.f64 z y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 z y)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 x z) y)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (cosh.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (-.f64 #s(literal 0 binary64) (*.f64 x z)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal -2 binary64) (*.f64 x z))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (-.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x z)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x z) y))) |
(/.f64 (*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x z))) |
(/.f64 (*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) z)) |
(/.f64 (*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x))) (*.f64 z (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x))) (*.f64 x (*.f64 z #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (*.f64 x z) #s(literal -2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
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(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 y (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x))) #s(literal -1 binary64)) |
(*.f64 (cosh.f64 x) y) |
(*.f64 y (cosh.f64 x)) |
(*.f64 (*.f64 (cosh.f64 x) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (cosh.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) (-.f64 #s(literal 0 binary64) y)) |
| 1× | egg-herbie |
| 4180× | *-lowering-*.f32 |
| 4180× | *-lowering-*.f64 |
| 1474× | +-lowering-+.f64 |
| 1474× | +-lowering-+.f32 |
| 1452× | sum5-define |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 2216 |
| 1 | 218 | 2196 |
| 2 | 731 | 2163 |
| 3 | 1955 | 2144 |
| 4 | 2751 | 2144 |
| 5 | 3598 | 2138 |
| 6 | 4338 | 2138 |
| 7 | 6097 | 2138 |
| 8 | 6530 | 2135 |
| 9 | 6788 | 2132 |
| 10 | 7065 | 2132 |
| 11 | 7681 | 2132 |
| 12 | 7707 | 2132 |
| 0 | 8433 | 2132 |
| 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) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) 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 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 y (*.f64 x z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
Compiled 22632 to 2444 computations (89.2% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1408 | 15 | 1423 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 1410 | 15 | 1425 |
| Status | Accuracy | Program |
|---|---|---|
| 89.2% | (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) y) z) x) | |
| ▶ | 86.2% | (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) z) x) |
| ▶ | 79.0% | (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) x) |
| 89.8% | (/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) | |
| 84.0% | (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) | |
| 50.2% | (/.f64 (/.f64 y z) x) | |
| 52.0% | (/.f64 (/.f64 y x) z) | |
| 80.8% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y x)) z) | |
| 78.2% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 y x)) z) | |
| 71.4% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y x)) z) | |
| 66.9% | (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) | |
| ▶ | 51.9% | (/.f64 y (*.f64 x z)) |
| ▶ | 96.6% | (*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
| 82.5% | (*.f64 (/.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) x)) | |
| ▶ | 58.5% | (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
Compiled 486 to 324 computations (33.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) z) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) z) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x z) |
| ✓ | cost-diff | 0 | (/.f64 y (*.f64 x z)) |
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (cosh.f64 x) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (cosh.f64 x) x) z) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
| 3128× | *-lowering-*.f32 |
| 3128× | *-lowering-*.f64 |
| 2316× | fma-define |
| 1840× | sum3-define |
| 1580× | +-lowering-+.f64 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 212 |
| 1 | 82 | 196 |
| 2 | 228 | 196 |
| 3 | 492 | 196 |
| 4 | 1235 | 196 |
| 5 | 2507 | 196 |
| 6 | 5062 | 195 |
| 7 | 6729 | 194 |
| 0 | 8395 | 194 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ (cosh x) x) z) y) |
(/ (/ (cosh x) x) z) |
(/ (cosh x) x) |
(cosh x) |
x |
z |
y |
(/ y (* x z)) |
y |
(* x z) |
x |
z |
(* (/ y z) (+ (/ 1 x) (* x 1/2))) |
(/ y z) |
y |
z |
(+ (/ 1 x) (* x 1/2)) |
(/ 1 x) |
1 |
x |
(* x 1/2) |
1/2 |
(/ (/ (* (+ 1 (* 1/2 (* x x))) y) z) x) |
(/ (* (+ 1 (* 1/2 (* x x))) y) z) |
(* (+ 1 (* 1/2 (* x x))) y) |
(+ 1 (* 1/2 (* x x))) |
1 |
(* 1/2 (* x x)) |
1/2 |
(* x x) |
x |
y |
z |
(/ (/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y) z) x) |
(/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y) z) |
(* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y) |
(+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) |
1 |
(* (* x x) (+ 1/2 (* x (* x 1/24)))) |
(* x x) |
x |
(+ 1/2 (* x (* x 1/24))) |
1/2 |
(* x (* x 1/24)) |
(* x 1/24) |
1/24 |
y |
z |
| Outputs |
|---|
(* (/ (/ (cosh x) x) z) y) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z) |
(/ (/ (cosh x) x) z) |
(/.f64 (cosh.f64 x) (*.f64 x z)) |
(/ (cosh x) x) |
(/.f64 (cosh.f64 x) x) |
(cosh x) |
(cosh.f64 x) |
x |
z |
y |
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
y |
(* x z) |
(*.f64 x z) |
x |
z |
(* (/ y z) (+ (/ 1 x) (* x 1/2))) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/ y z) |
(/.f64 y z) |
y |
z |
(+ (/ 1 x) (* x 1/2)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ (/ (* (+ 1 (* 1/2 (* x x))) y) z) x) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/ (* (+ 1 (* 1/2 (* x x))) y) z) |
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) z)) |
(* (+ 1 (* 1/2 (* x x))) y) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* 1/2 (* x x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(* 1/2 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x x) |
(*.f64 x x) |
x |
y |
z |
(/ (/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y) z) x) |
(/.f64 (*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (/.f64 #s(literal 1 binary64) x))) z) |
(/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y) z) |
(*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/2 (* x (* x 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/2 (* x (* x 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* x 1/24)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
y |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 97.8% | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) |
| ✓ | accuracy | 96.7% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) z) |
| ✓ | accuracy | 89.3% | (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) z) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 94.8% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) |
| ✓ | accuracy | 92.9% | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) |
| ✓ | accuracy | 82.6% | (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 89.7% | (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x z) |
| ✓ | accuracy | 92.3% | (/.f64 y (*.f64 x z)) |
| ✓ | accuracy | 100.0% | (/.f64 (cosh.f64 x) x) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (cosh.f64 x) x) z) |
| ✓ | accuracy | 96.6% | (*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
| 133.0ms | 256× | 0 | valid |
Compiled 222 to 32 computations (85.6% saved)
ival-mult: 48.0ms (57.9% of total)ival-div: 22.0ms (26.5% of total)ival-add: 5.0ms (6% of total)...c/correct-round.rkt:119:19: 4.0ms (4.8% of total)ival-cosh: 3.0ms (3.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (/ (cosh x) x) z) y)> |
#<alt (/ (/ (cosh x) x) z)> |
#<alt (/ (cosh x) x)> |
#<alt (cosh x)> |
#<alt (/ y (* x z))> |
#<alt (* x z)> |
#<alt (* (/ y z) (+ (/ 1 x) (* x 1/2)))> |
#<alt (/ y z)> |
#<alt (+ (/ 1 x) (* x 1/2))> |
#<alt (/ 1 x)> |
#<alt (/ (/ (* (+ 1 (* 1/2 (* x x))) y) z) x)> |
#<alt (/ (* (+ 1 (* 1/2 (* x x))) y) z)> |
#<alt (* (+ 1 (* 1/2 (* x x))) y)> |
#<alt (+ 1 (* 1/2 (* x x)))> |
#<alt (/ (/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y) z) x)> |
#<alt (/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y) z)> |
#<alt (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y)> |
#<alt (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24)))))> |
#<alt (* x 1/2)> |
#<alt (* 1/2 (* x x))> |
#<alt (* x 1/24)> |
| Outputs |
|---|
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<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)> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (/ 1 (* x z))> |
#<alt (/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x)> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 (pow x 2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x)> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (* 1/2 (/ (* x y) z))> |
#<alt (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* 1/2 (/ (* x y) z))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 (pow x 2))) x)> |
#<alt (/ (+ 1 (* 1/2 (pow x 2))) x)> |
#<alt (/ (+ 1 (* 1/2 (pow x 2))) x)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* x (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* x (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* x (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* x (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (* 1/2 (/ (* x y) z))> |
#<alt (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* 1/2 (/ (* x y) z))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
#<alt (/ y z)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))> |
#<alt (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))> |
#<alt (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))> |
#<alt (* 1/2 (/ (* (pow x 2) y) z))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* 1/2 (/ (* (pow x 2) y) z))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) z)> |
#<alt y> |
#<alt (+ y (* 1/2 (* (pow x 2) y)))> |
#<alt (+ y (* 1/2 (* (pow x 2) y)))> |
#<alt (+ y (* 1/2 (* (pow x 2) y)))> |
#<alt (* 1/2 (* (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2))))> |
#<alt (* 1/2 (* (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2))))> |
#<alt (* y (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* y (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* y (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* y (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* y (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* y (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* y (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* y (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* y (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* y (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* y (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* y (+ 1 (* 1/2 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))> |
#<alt (* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ y z)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))> |
#<alt (* 1/24 (/ (* (pow x 4) y) z))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))> |
#<alt (* 1/24 (/ (* (pow x 4) y) z))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt y> |
#<alt (+ y (* 1/2 (* (pow x 2) y)))> |
#<alt (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))> |
#<alt (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))> |
#<alt (* 1/24 (* (pow x 4) y))> |
#<alt (* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))> |
#<alt (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))> |
#<alt (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))> |
#<alt (* 1/24 (* (pow x 4) y))> |
#<alt (* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))> |
#<alt (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))> |
#<alt (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | 0 | (/ (/ (* (+ 1 (* 1/2 (* x x))) y) z) x) |
| 15.0ms | z | @ | -inf | (/ (/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y) z) x) |
| 7.0ms | x | @ | inf | (/ (/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y) z) x) |
| 4.0ms | x | @ | -inf | (/ (/ (cosh x) x) z) |
| 1.0ms | y | @ | 0 | (/ (/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y) z) x) |
| 1× | batch-egg-rewrite |
| 3940× | /-lowering-/.f32 |
| 3940× | /-lowering-/.f64 |
| 3786× | *-lowering-*.f32 |
| 3786× | *-lowering-*.f64 |
| 2212× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 164 |
| 1 | 182 | 150 |
| 2 | 1665 | 150 |
| 0 | 8637 | 150 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ (cosh x) x) z) y) |
(/ (/ (cosh x) x) z) |
(/ (cosh x) x) |
(cosh x) |
(/ y (* x z)) |
(* x z) |
(* (/ y z) (+ (/ 1 x) (* x 1/2))) |
(/ y z) |
(+ (/ 1 x) (* x 1/2)) |
(/ 1 x) |
(/ (/ (* (+ 1 (* 1/2 (* x x))) y) z) x) |
(/ (* (+ 1 (* 1/2 (* x x))) y) z) |
(* (+ 1 (* 1/2 (* x x))) y) |
(+ 1 (* 1/2 (* x x))) |
(/ (/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y) z) x) |
(/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y) z) |
(* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) y) |
(+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) |
(* x 1/2) |
(* 1/2 (* x x)) |
(* x 1/24) |
| Outputs |
|---|
(/.f64 y (/.f64 z (/.f64 (cosh.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (cosh.f64 x) x) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 (/.f64 (cosh.f64 x) x) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 z (/.f64 (cosh.f64 x) x)))) |
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 (cosh.f64 x) x))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 z (/.f64 (cosh.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (cosh.f64 x) x) y)) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 x z)) |
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 x) x))) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 x) x)) y) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 z (/.f64 (cosh.f64 x) x)))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 z (/.f64 (cosh.f64 x) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (cosh.f64 x) x) y))) (neg.f64 (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (*.f64 y (cosh.f64 x))) (*.f64 x (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 x) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (*.f64 x (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 x) x)) y)) (neg.f64 (-.f64 #s(literal 0 binary64) z))) |
(pow.f64 (/.f64 z (*.f64 (/.f64 (cosh.f64 x) x) y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (cosh.f64 x)) (/.f64 z y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z)) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 x (cosh.f64 x)))) |
(*.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cosh.f64 x) x) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cosh.f64 x))) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (cosh.f64 x)))) (/.f64 y (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 y (/.f64 z #s(literal 1 binary64))) (/.f64 (cosh.f64 x) x)) |
(*.f64 (/.f64 y (/.f64 z (cosh.f64 x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 y (/.f64 z (-.f64 #s(literal 0 binary64) (cosh.f64 x)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 x) x)) #s(literal -1 binary64)) (/.f64 y z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 (cosh.f64 x) x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) z))) (/.f64 (cosh.f64 x) (*.f64 x (-.f64 #s(literal 0 binary64) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cosh.f64 x) x) z))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cosh.f64 x) x) z))) |
(/.f64 (cosh.f64 x) (*.f64 x z)) |
(/.f64 (/.f64 (cosh.f64 x) x) z) |
(/.f64 (/.f64 (cosh.f64 x) x) (neg.f64 (-.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (cosh.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (cosh.f64 x)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (/.f64 (cosh.f64 x) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (/.f64 (cosh.f64 x) x))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 x z) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (/.f64 (cosh.f64 x) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (cosh.f64 x)) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x z) (cosh.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (/.f64 (cosh.f64 x) x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 x) x)) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 x) x)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) (*.f64 x (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (cosh.f64 x))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 x z)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x))) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 (*.f64 x z) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x (cosh.f64 x)))) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) z)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (cosh.f64 x) z) x) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) z))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (/.f64 (cosh.f64 x) z)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 z (/.f64 (cosh.f64 x) x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (cosh.f64 x)) z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x z) (cosh.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 z (/.f64 (cosh.f64 x) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cosh.f64 x) x) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) |
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(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z)) |
(/.f64 y z) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)))) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
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(-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/2 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
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(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 z y)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 y z))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) z))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (-.f64 #s(literal 0 binary64) z)))) |
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 y z))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 z y))) #s(literal 1 binary64))) |
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 z y)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x z)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 z y)) x) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 z y)) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 z y))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 z y))) #s(literal 1 binary64)))) |
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(/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 x z)) |
(/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) z))) |
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(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x))) |
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(/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) x)) z) |
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(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) z) |
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(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x z))) |
(*.f64 (/.f64 y z) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 y (*.f64 x z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 z y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 z y)) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 y (*.f64 x z))) |
(*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/13824 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(*.f64 x #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
| 1× | egg-herbie |
| 4646× | *-lowering-*.f32 |
| 4646× | *-lowering-*.f64 |
| 2214× | fma-lowering-fma.f32 |
| 2214× | fma-lowering-fma.f64 |
| 1750× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 4927 |
| 1 | 562 | 4734 |
| 2 | 1823 | 4527 |
| 3 | 6099 | 4527 |
| 0 | 8015 | 4527 |
| 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))) |
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(* 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 (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 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 z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 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)) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(* 1/2 (/ (* (pow x 2) y) z)) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (/ (* (pow x 2) y) z)) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* 1/2 (* (pow x 2) y))) |
(* 1/2 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/2 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(* 1/24 (/ (* (pow x 4) y) z)) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/24 (/ (* (pow x 4) y) z)) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
y |
(+ 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)))))) |
(* 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 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (+.f64 (/.f64 y z) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 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 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (*.f64 x x) z) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x) |
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
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(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
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(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(* 1/24 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* 1/24 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
Compiled 33849 to 3583 computations (89.4% saved)
28 alts after pruning (26 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1643 | 21 | 1664 |
| Fresh | 5 | 5 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1651 | 28 | 1679 |
| Status | Accuracy | Program |
|---|---|---|
| 52.5% | (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) y) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) z) x) | |
| 48.9% | (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))) z) x) | |
| 89.2% | (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) y) z) x) | |
| 46.1% | (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) z) x) | |
| 39.9% | (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z) x) | |
| 89.8% | (/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) | |
| 50.2% | (/.f64 (/.f64 y z) x) | |
| ▶ | 52.0% | (/.f64 (/.f64 y x) z) |
| 80.8% | (/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) | |
| ▶ | 50.0% | (/.f64 (+.f64 (*.f64 (/.f64 y x) z) (*.f64 z (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 z z)) |
| 43.1% | (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) (*.f64 (/.f64 z y) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 z y) (/.f64 z y))) | |
| 78.2% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 y x)) z) | |
| 85.8% | (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) | |
| ▶ | 85.8% | (/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) z))) x) |
| 44.6% | (/.f64 (*.f64 y (*.f64 x (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z))) x) | |
| ✓ | 51.9% | (/.f64 y (*.f64 x z)) |
| 79.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) (/.f64 y z))) | |
| ▶ | 51.9% | (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
| ▶ | 92.2% | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x) z) y) |
| ✓ | 96.6% | (*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
| 51.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) | |
| 90.3% | (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 (*.f64 x x) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) y) | |
| 79.2% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) (/.f64 y z)) | |
| 24.1% | (*.f64 (/.f64 y z) (*.f64 x #s(literal 1/2 binary64))) | |
| 51.6% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) | |
| 43.2% | (*.f64 y (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z)) | |
| 41.6% | (*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) | |
| 24.5% | (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z)) |
Compiled 1163 to 676 computations (41.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) z)) |
| ✓ | cost-diff | 128 | (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) z))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) z))) x) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 y x) z) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (/.f64 y x) z) (*.f64 z (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
| ✓ | cost-diff | 384 | (/.f64 (+.f64 (*.f64 (/.f64 y x) z) (*.f64 z (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 z z)) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 z (/.f64 y x)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 y x) z) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x) z) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x) z) y) |
| 3012× | *-lowering-*.f32 |
| 3012× | *-lowering-*.f64 |
| 1662× | sum3-define |
| 1496× | times-frac |
| 1124× | distribute-lft-in |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 356 |
| 1 | 110 | 321 |
| 2 | 326 | 319 |
| 3 | 883 | 317 |
| 4 | 2367 | 315 |
| 5 | 4239 | 315 |
| 6 | 7545 | 315 |
| 0 | 8185 | 315 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) x) z) y) |
(/ (/ (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) x) z) |
(/ (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) x) |
(+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) |
1 |
(* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))) |
(* x x) |
x |
(+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) |
1/2 |
(* x (* x (+ 1/24 (* (* x x) 1/720)))) |
(* x (+ 1/24 (* (* x x) 1/720))) |
(+ 1/24 (* (* x x) 1/720)) |
1/24 |
(* (* x x) 1/720) |
1/720 |
z |
y |
(/ (/ y x) z) |
(/ y x) |
y |
x |
z |
(/ 1 (/ z (/ y x))) |
1 |
(/ z (/ y x)) |
z |
(/ y x) |
y |
x |
(/ (+ (* (/ y x) z) (* z (* (* x 1/2) y))) (* z z)) |
(+ (* (/ y x) z) (* z (* (* x 1/2) y))) |
(* (/ y x) z) |
(/ y x) |
y |
x |
z |
(* z (* (* x 1/2) y)) |
(* (* x 1/2) y) |
(* x 1/2) |
1/2 |
(* z z) |
(/ (* y (* (+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) (/ 1 z))) x) |
(* y (* (+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) (/ 1 z))) |
y |
(* (+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) (/ 1 z)) |
(+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) |
1 |
(* x (* x (+ 1/2 (* x (* x 1/24))))) |
x |
(* x (+ 1/2 (* x (* x 1/24)))) |
(+ 1/2 (* x (* x 1/24))) |
1/2 |
(* x (* x 1/24)) |
(* x 1/24) |
1/24 |
(/ 1 z) |
z |
| Outputs |
|---|
(* (/ (/ (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) x) z) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (/.f64 z (/.f64 y x))) |
(/ (/ (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) x) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(/ (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) x) |
(+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* x (+ 1/24 (* (* x x) 1/720)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* x (+ 1/24 (* (* x x) 1/720))) |
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(+ 1/24 (* (* x x) 1/720)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
1/24 |
#s(literal 1/24 binary64) |
(* (* x x) 1/720) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
1/720 |
#s(literal 1/720 binary64) |
z |
y |
(/ (/ y x) z) |
(/.f64 y (*.f64 x z)) |
(/ y x) |
(/.f64 y x) |
y |
x |
z |
(/ 1 (/ z (/ y x))) |
(/.f64 y (*.f64 x z)) |
1 |
#s(literal 1 binary64) |
(/ z (/ y x)) |
(/.f64 z (/.f64 y x)) |
z |
(/ y x) |
(/.f64 y x) |
y |
x |
(/ (+ (* (/ y x) z) (* z (* (* x 1/2) y))) (* z z)) |
(*.f64 (/.f64 y z) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(+ (* (/ y x) z) (* z (* (* x 1/2) y))) |
(*.f64 (*.f64 z y) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(* (/ y x) z) |
(/.f64 (*.f64 z y) x) |
(/ y x) |
(/.f64 y x) |
y |
x |
z |
(* z (* (* x 1/2) y)) |
(*.f64 x (*.f64 z (*.f64 #s(literal 1/2 binary64) y))) |
(* (* x 1/2) y) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) y)) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* z z) |
(*.f64 z z) |
(/ (* y (* (+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) (/ 1 z))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 z (/.f64 y x))) |
(* y (* (+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) (/ 1 z))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 z y)) |
y |
(* (+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) (/ 1 z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z) |
(+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* x (* x (+ 1/2 (* x (* x 1/24))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
x |
(* x (+ 1/2 (* x (* x 1/24)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(+ 1/2 (* x (* x 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* x 1/24)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 97.3% | (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) z))) |
| ✓ | accuracy | 95.6% | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 89.3% | (/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) z))) x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 92.1% | (*.f64 z (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | accuracy | 90.5% | (*.f64 (/.f64 y x) z) |
| ✓ | accuracy | 62.0% | (/.f64 (+.f64 (*.f64 (/.f64 y x) z) (*.f64 z (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 z z)) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 98.7% | (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
| ✓ | accuracy | 93.6% | (/.f64 z (/.f64 y x)) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 93.3% | (/.f64 (/.f64 y x) z) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
| ✓ | accuracy | 98.9% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x) |
| ✓ | accuracy | 96.9% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x) z) |
| ✓ | accuracy | 93.6% | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x) z) y) |
| 124.0ms | 256× | 0 | valid |
Compiled 368 to 40 computations (89.1% saved)
ival-mult: 28.0ms (49.1% of total)ival-div: 14.0ms (24.6% of total)ival-add: 7.0ms (12.3% of total)...c/correct-round.rkt:119:19: 7.0ms (12.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (/ (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) x) z) y)> |
#<alt (/ (/ (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) x) z)> |
#<alt (/ (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) x)> |
#<alt (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))> |
#<alt (/ (/ y x) z)> |
#<alt (/ y x)> |
#<alt (/ 1 (/ z (/ y x)))> |
#<alt (/ z (/ y x))> |
#<alt (/ (+ (* (/ y x) z) (* z (* (* x 1/2) y))) (* z z))> |
#<alt (+ (* (/ y x) z) (* z (* (* x 1/2) y)))> |
#<alt (* (/ y x) z)> |
#<alt (/ (* y (* (+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) (/ 1 z))) x)> |
#<alt (* y (* (+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) (/ 1 z)))> |
#<alt (* (+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) (/ 1 z))> |
#<alt (+ 1 (* x (* x (+ 1/2 (* x (* x 1/24))))))> |
#<alt (* (* x x) 1/720)> |
#<alt (* z (* (* x 1/2) y))> |
#<alt (* x 1/2)> |
#<alt (* x 1/24)> |
| Outputs |
|---|
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<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)> |
#<alt (* 1/720 (/ (* (pow x 5) y) z))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))> |
#<alt (* (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))))))> |
#<alt (* 1/720 (/ (* (pow x 5) y) z))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ 1 (* x z))> |
#<alt (/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x)> |
#<alt (* 1/720 (/ (pow x 5) z))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z)))))> |
#<alt (* (pow x 5) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z)))))> |
#<alt (* (pow x 5) (+ (/ 1/24 (* (pow x 2) z)) (+ (* 1/720 (/ 1 z)) (+ (* 1/2 (/ 1 (* (pow x 4) z))) (/ 1 (* (pow x 6) z))))))> |
#<alt (* 1/720 (/ (pow x 5) z))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))) (pow x 2))) (* 1/720 (/ 1 z)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 4))) (+ (/ 1/24 (* (pow x 2) z)) (* 1/720 (/ 1 z))))))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 (pow x 2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x)> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* x z) y)> |
#<alt (/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2))> |
#<alt (/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2))> |
#<alt (/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2))> |
#<alt (/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2))> |
#<alt (/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2))> |
#<alt (/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2))> |
#<alt (/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2))> |
#<alt (/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2))> |
#<alt (* -1 (/ (* y (+ (* -1 (/ z x)) (* -1/2 (* x z)))) (pow z 2)))> |
#<alt (* -1 (/ (* y (+ (* -1 (/ z x)) (* -1/2 (* x z)))) (pow z 2)))> |
#<alt (* -1 (/ (* y (+ (* -1 (/ z x)) (* -1/2 (* x z)))) (pow z 2)))> |
#<alt (* -1 (/ (* y (+ (* -1 (/ z x)) (* -1/2 (* x z)))) (pow z 2)))> |
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (* 1/2 (/ (* x y) z))> |
#<alt (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* 1/2 (/ (* x y) z))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (* x y))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (* x y))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (* x y))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (* x y))) z))> |
#<alt (* y (+ (* 1/2 (* x z)) (/ z x)))> |
#<alt (* y (+ (* 1/2 (* x z)) (/ z x)))> |
#<alt (* y (+ (* 1/2 (* x z)) (/ z x)))> |
#<alt (* y (+ (* 1/2 (* x z)) (/ z x)))> |
#<alt (* y (+ (* 1/2 (* x z)) (/ z x)))> |
#<alt (* y (+ (* 1/2 (* x z)) (/ z x)))> |
#<alt (* y (+ (* 1/2 (* x z)) (/ z x)))> |
#<alt (* y (+ (* 1/2 (* x z)) (/ z x)))> |
#<alt (* -1 (* y (+ (* -1 (/ z x)) (* -1/2 (* x z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ z x)) (* -1/2 (* x z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ z x)) (* -1/2 (* x z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ z x)) (* -1/2 (* x z)))))> |
#<alt (/ (* y z) x)> |
#<alt (/ (+ (* 1/2 (* (pow x 2) (* y z))) (* y z)) x)> |
#<alt (/ (+ (* 1/2 (* (pow x 2) (* y z))) (* y z)) x)> |
#<alt (/ (+ (* 1/2 (* (pow x 2) (* y z))) (* y z)) x)> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* x (+ (* 1/2 (* y z)) (/ (* y z) (pow x 2))))> |
#<alt (* x (+ (* 1/2 (* y z)) (/ (* y z) (pow x 2))))> |
#<alt (* x (+ (* 1/2 (* y z)) (/ (* y z) (pow x 2))))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y z) (pow x 2))) (* -1/2 (* y z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y z) (pow x 2))) (* -1/2 (* y z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y z) (pow x 2))) (* -1/2 (* y z)))))> |
#<alt (* z (+ (* 1/2 (* x y)) (/ y x)))> |
#<alt (* z (+ (* 1/2 (* x y)) (/ y x)))> |
#<alt (* z (+ (* 1/2 (* x y)) (/ y x)))> |
#<alt (* z (+ (* 1/2 (* x y)) (/ y x)))> |
#<alt (* z (+ (* 1/2 (* x y)) (/ y x)))> |
#<alt (* z (+ (* 1/2 (* x y)) (/ y x)))> |
#<alt (* z (+ (* 1/2 (* x y)) (/ y x)))> |
#<alt (* z (+ (* 1/2 (* x y)) (/ y x)))> |
#<alt (* -1 (* z (+ (* -1 (/ y x)) (* -1/2 (* x y)))))> |
#<alt (* -1 (* z (+ (* -1 (/ y x)) (* -1/2 (* x y)))))> |
#<alt (* -1 (* z (+ (* -1 (/ y x)) (* -1/2 (* x y)))))> |
#<alt (* -1 (* z (+ (* -1 (/ y x)) (* -1/2 (* x y)))))> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))> |
#<alt (* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ y z)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))> |
#<alt (* 1/24 (/ (* (pow x 4) y) z))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))> |
#<alt (* 1/24 (/ (* (pow x 4) y) z))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)> |
#<alt (/ 1 z)> |
#<alt (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))> |
#<alt (* 1/24 (/ (pow x 4) z))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))))> |
#<alt (* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z)))))> |
#<alt (* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z)))))> |
#<alt (* 1/24 (/ (pow x 4) z))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))))> |
#<alt (* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z)))))> |
#<alt (* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z)))))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 (* x (* y z)))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (* x 1/24) |
| 4.0ms | x | @ | 0 | (* z (* (* x 1/2) y)) |
| 1.0ms | z | @ | 0 | (* (/ (/ (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) x) z) y) |
| 1.0ms | y | @ | 0 | (/ (+ (* (/ y x) z) (* z (* (* x 1/2) y))) (* z z)) |
| 1.0ms | y | @ | 0 | (* (/ (/ (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) x) z) y) |
| 1× | batch-egg-rewrite |
| 3760× | *-lowering-*.f32 |
| 3760× | *-lowering-*.f64 |
| 3114× | /-lowering-/.f32 |
| 3114× | /-lowering-/.f64 |
| 2522× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 221 |
| 1 | 237 | 199 |
| 2 | 2063 | 197 |
| 0 | 9278 | 197 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) x) z) y) |
(/ (/ (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) x) z) |
(/ (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) x) |
(+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) |
(/ (/ y x) z) |
(/ y x) |
(/ 1 (/ z (/ y x))) |
(/ z (/ y x)) |
(/ (+ (* (/ y x) z) (* z (* (* x 1/2) y))) (* z z)) |
(+ (* (/ y x) z) (* z (* (* x 1/2) y))) |
(* (/ y x) z) |
(/ (* y (* (+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) (/ 1 z))) x) |
(* y (* (+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) (/ 1 z))) |
(* (+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) (/ 1 z)) |
(+ 1 (* x (* x (+ 1/2 (* x (* x 1/24)))))) |
(* (* x x) 1/720) |
(* z (* (* x 1/2) y)) |
(* x 1/2) |
(* x 1/24) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) |
(/.f64 y (*.f64 z (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/720 binary64)) x) |
(*.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(*.f64 z (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 y (*.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 z y)) |
(*.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(*.f64 (*.f64 z (*.f64 x #s(literal 1/2 binary64))) y) |
(*.f64 (*.f64 z y) (*.f64 x #s(literal 1/2 binary64))) |
(*.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) |
(*.f64 x #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
| 1× | egg-herbie |
| 5402× | *-lowering-*.f32 |
| 5402× | *-lowering-*.f64 |
| 3218× | +-lowering-+.f64 |
| 3218× | +-lowering-+.f32 |
| 2348× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 5438 |
| 1 | 971 | 5162 |
| 2 | 3363 | 5034 |
| 0 | 8241 | 5034 |
| 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) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(* 1/720 (/ (pow x 5) z)) |
(* (pow x 5) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))) |
(* (pow x 5) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z))))) |
(* (pow x 5) (+ (/ 1/24 (* (pow x 2) z)) (+ (* 1/720 (/ 1 z)) (+ (* 1/2 (/ 1 (* (pow x 4) z))) (/ 1 (* (pow x 6) z)))))) |
(* 1/720 (/ (pow x 5) z)) |
(* (pow x 5) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))) (pow x 2))) (* 1/720 (/ 1 z))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 4))) (+ (/ 1/24 (* (pow x 2) z)) (* 1/720 (/ 1 z)))))) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
(* 1/720 (pow x 5)) |
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 5)) |
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
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)))))) |
(/ y (* x z)) |
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(/ y x) |
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(/ y (* x z)) |
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(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
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(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2)) |
(/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2)) |
(/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2)) |
(/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2)) |
(/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2)) |
(/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2)) |
(/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2)) |
(/ (* y (+ (* 1/2 (* x z)) (/ z x))) (pow z 2)) |
(* -1 (/ (* y (+ (* -1 (/ z x)) (* -1/2 (* x z)))) (pow z 2))) |
(* -1 (/ (* y (+ (* -1 (/ z x)) (* -1/2 (* x z)))) (pow z 2))) |
(* -1 (/ (* y (+ (* -1 (/ z x)) (* -1/2 (* x z)))) (pow z 2))) |
(* -1 (/ (* y (+ (* -1 (/ z x)) (* -1/2 (* x z)))) (pow z 2))) |
(/ 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))))) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (* x y))) z)) |
(* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (* x y))) z)) |
(* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (* x y))) z)) |
(* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (* x y))) z)) |
(* y (+ (* 1/2 (* x z)) (/ z x))) |
(* y (+ (* 1/2 (* x z)) (/ z x))) |
(* y (+ (* 1/2 (* x z)) (/ z x))) |
(* y (+ (* 1/2 (* x z)) (/ z x))) |
(* y (+ (* 1/2 (* x z)) (/ z x))) |
(* y (+ (* 1/2 (* x z)) (/ z x))) |
(* y (+ (* 1/2 (* x z)) (/ z x))) |
(* y (+ (* 1/2 (* x z)) (/ z x))) |
(* -1 (* y (+ (* -1 (/ z x)) (* -1/2 (* x z))))) |
(* -1 (* y (+ (* -1 (/ z x)) (* -1/2 (* x z))))) |
(* -1 (* y (+ (* -1 (/ z x)) (* -1/2 (* x z))))) |
(* -1 (* y (+ (* -1 (/ z x)) (* -1/2 (* x 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 (* (pow x 2) (* y z))) (* y z)) x) |
(* 1/2 (* x (* y z))) |
(* x (+ (* 1/2 (* y z)) (/ (* y z) (pow x 2)))) |
(* x (+ (* 1/2 (* y z)) (/ (* y z) (pow x 2)))) |
(* x (+ (* 1/2 (* y z)) (/ (* y z) (pow x 2)))) |
(* 1/2 (* x (* y z))) |
(* -1 (* x (+ (* -1 (/ (* y z) (pow x 2))) (* -1/2 (* y z))))) |
(* -1 (* x (+ (* -1 (/ (* y z) (pow x 2))) (* -1/2 (* y z))))) |
(* -1 (* x (+ (* -1 (/ (* y z) (pow x 2))) (* -1/2 (* y z))))) |
(* z (+ (* 1/2 (* x y)) (/ y x))) |
(* z (+ (* 1/2 (* x y)) (/ y x))) |
(* z (+ (* 1/2 (* x y)) (/ y x))) |
(* z (+ (* 1/2 (* x y)) (/ y x))) |
(* z (+ (* 1/2 (* x y)) (/ y x))) |
(* z (+ (* 1/2 (* x y)) (/ y x))) |
(* z (+ (* 1/2 (* x y)) (/ y x))) |
(* z (+ (* 1/2 (* x y)) (/ y x))) |
(* -1 (* z (+ (* -1 (/ y x)) (* -1/2 (* x y))))) |
(* -1 (* z (+ (* -1 (/ y x)) (* -1/2 (* x y))))) |
(* -1 (* z (+ (* -1 (/ y x)) (* -1/2 (* x y))))) |
(* -1 (* z (+ (* -1 (/ y x)) (* -1/2 (* x y))))) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(* 1/24 (/ (* (pow x 4) y) z)) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/24 (/ (* (pow x 4) y) z)) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ 1 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) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(* 1/24 (/ (pow x 4) z)) |
(* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* 1/24 (/ (pow x 4) z)) |
(* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 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 (* 1/24 (pow x 2))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 (* x (* y z))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 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) (*.f64 x (*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 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 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 y (pow.f64 x #s(literal 5 binary64)))) z) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (/.f64 (/.f64 y z) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 y (pow.f64 x #s(literal 5 binary64)))) z) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 y #s(literal -1/720 binary64)) z) (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) |
(*.f64 (+.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (/.f64 y z) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (-.f64 #s(literal 0 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 z)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y (*.f64 x z))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y (*.f64 x z))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y (*.f64 x z))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y (*.f64 x z))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y (*.f64 x z))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y (*.f64 x z))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
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(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
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(+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (*.f64 x x) z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(* 1/24 (/ (pow x 4) z)) |
(*.f64 (/.f64 (*.f64 x x) z) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/24 binary64) z) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x z))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/24 binary64) z) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x z)))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/24 binary64) z) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x z)))))) |
(* 1/24 (/ (pow x 4) z)) |
(*.f64 (/.f64 (*.f64 x x) z) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/24 binary64) z) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x z))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/24 binary64) z) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x z)))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/24 binary64) z) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x z)))))) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x)) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x)) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x)) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x)) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x)) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x)) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x)) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x)) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x)) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x)) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x)) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x)) |
(* 1/24 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* 1/24 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* y z))) |
(*.f64 y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
Compiled 31798 to 2561 computations (91.9% saved)
33 alts after pruning (27 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1399 | 13 | 1412 |
| Fresh | 7 | 14 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1407 | 33 | 1440 |
| Status | Accuracy | Program |
|---|---|---|
| 52.5% | (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) y) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) z) x) | |
| 48.9% | (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))) z) x) | |
| ▶ | 46.1% | (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) z) x) |
| 89.8% | (/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) | |
| 36.2% | (/.f64 (/.f64 (*.f64 y z) x) (*.f64 z z)) | |
| ▶ | 50.2% | (/.f64 (/.f64 y z) x) |
| ✓ | 52.0% | (/.f64 (/.f64 y x) z) |
| 43.1% | (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) (*.f64 (/.f64 z y) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 z y) (/.f64 z y))) | |
| 78.2% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 y x)) z) | |
| 85.8% | (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) | |
| 43.5% | (/.f64 (*.f64 y (*.f64 (/.f64 (*.f64 x x) z) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x) | |
| 85.8% | (/.f64 (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) x) | |
| ✓ | 85.8% | (/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) z))) x) |
| ▶ | 46.0% | (/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
| 45.7% | (/.f64 (*.f64 y (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal 1 binary64) z))) x) | |
| 44.6% | (/.f64 (*.f64 y (*.f64 x (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z))) x) | |
| 40.9% | (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) | |
| ✓ | 51.9% | (/.f64 y (*.f64 x z)) |
| ✓ | 51.9% | (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
| 52.2% | (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))) x) z) y) | |
| 51.4% | (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) x) z) y) | |
| ✓ | 92.2% | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x) z) y) |
| 92.2% | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x #s(literal 1/720 binary64)) x))))))) x) z) y) | |
| ▶ | 92.5% | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) y) |
| ✓ | 96.6% | (*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
| 51.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) | |
| 81.1% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) (/.f64 y x)) | |
| 51.6% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) | |
| 49.6% | (*.f64 (+.f64 (*.f64 x (*.f64 z #s(literal 1/2 binary64))) (/.f64 z x)) (/.f64 y (*.f64 z z))) | |
| ▶ | 43.2% | (*.f64 y (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z)) |
| 24.1% | (*.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) z)) | |
| 41.6% | (*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) | |
| 24.5% | (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z)) |
Compiled 1517 to 780 computations (48.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 256 | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 384 | (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z)) |
| ✓ | cost-diff | 384 | (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) |
| ✓ | cost-diff | 640 | (/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) z) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) z) x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z) |
| ✓ | cost-diff | 0 | (*.f64 y (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z)) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 y z) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) y) |
| 3836× | *-lowering-*.f32 |
| 3836× | *-lowering-*.f64 |
| 2732× | +-lowering-+.f64 |
| 2732× | +-lowering-+.f32 |
| 1940× | /-lowering-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 354 |
| 1 | 112 | 315 |
| 2 | 446 | 315 |
| 3 | 1837 | 310 |
| 4 | 4684 | 307 |
| 0 | 8203 | 307 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) z) x) y) |
(/ (/ (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) z) x) |
(/ (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) z) |
(+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) |
1 |
(* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))) |
x |
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))) |
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))) |
1/2 |
(* (* x x) (+ 1/24 (* (* x x) 1/720))) |
(* x x) |
(+ 1/24 (* (* x x) 1/720)) |
1/24 |
(* (* x x) 1/720) |
1/720 |
z |
y |
(/ (/ y z) x) |
(/ y z) |
y |
z |
x |
(* y (/ (* 1/24 (* x (* x x))) z)) |
y |
(/ (* 1/24 (* x (* x x))) z) |
(* 1/24 (* x (* x x))) |
1/24 |
(* x (* x x)) |
x |
(* x x) |
z |
(/ (/ (* (* x (* 1/24 (* x (* x x)))) y) z) x) |
(/ (* (* x (* 1/24 (* x (* x x)))) y) z) |
(* (* x (* 1/24 (* x (* x x)))) y) |
(* x (* 1/24 (* x (* x x)))) |
x |
(* 1/24 (* x (* x x))) |
1/24 |
(* x (* x x)) |
(* x x) |
y |
z |
(/ (* y (* (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) (/ 1 z))) x) |
(* y (* (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) (/ 1 z))) |
y |
(* (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) (/ 1 z)) |
(* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) |
(* (* x x) (* x x)) |
(* x x) |
x |
(+ 1/24 (/ 1/2 (* x x))) |
1/24 |
(/ 1/2 (* x x)) |
1/2 |
(/ 1 z) |
1 |
z |
| Outputs |
|---|
(* (/ (/ (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) z) x) y) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/ (/ (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) z) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))) (*.f64 x z)) |
(/ (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))) z) |
(+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) |
x |
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) |
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) (+ 1/24 (* (* x x) 1/720))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* x x) |
(*.f64 x x) |
(+ 1/24 (* (* x x) 1/720)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
1/24 |
#s(literal 1/24 binary64) |
(* (* x x) 1/720) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
1/720 |
#s(literal 1/720 binary64) |
z |
y |
(/ (/ y z) x) |
(/.f64 y (*.f64 x z)) |
(/ y z) |
(/.f64 y z) |
y |
z |
x |
(* y (/ (* 1/24 (* x (* x x))) z)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 x x) y) z))) |
y |
(/ (* 1/24 (* x (* x x))) z) |
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z)) |
(* 1/24 (* x (* x x))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
1/24 |
#s(literal 1/24 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
z |
(/ (/ (* (* x (* 1/24 (* x (* x x)))) y) z) x) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 x x) y) z))) |
(/ (* (* x (* 1/24 (* x (* x x)))) y) z) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 x x) y) z)))) |
(* (* x (* 1/24 (* x (* x x)))) y) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x y)))) |
(* x (* 1/24 (* x (* x x)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
x |
(* 1/24 (* x (* x x))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
1/24 |
#s(literal 1/24 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
y |
z |
(/ (* y (* (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) (/ 1 z))) x) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) z) |
(* y (* (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) (/ 1 z))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) z)) |
y |
(* (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) (/ 1 z)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) z))) |
(* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/24 (/ 1/2 (* x x))) |
(+.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) |
1/24 |
#s(literal 1/24 binary64) |
(/ 1/2 (* x x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
1 |
#s(literal 1 binary64) |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 90.9% | (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 90.5% | (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) |
| ✓ | accuracy | 85.0% | (/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
| ✓ | accuracy | 63.0% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 95.5% | (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) |
| ✓ | accuracy | 93.3% | (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) z) |
| ✓ | accuracy | 92.4% | (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) z) x) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 92.3% | (*.f64 y (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z)) |
| ✓ | accuracy | 91.0% | (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z) |
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 91.3% | (/.f64 (/.f64 y z) x) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
| ✓ | accuracy | 98.7% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) |
| ✓ | accuracy | 96.7% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) |
| ✓ | accuracy | 93.6% | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) y) |
| 109.0ms | 256× | 0 | valid |
Compiled 396 to 37 computations (90.7% saved)
ival-mult: 33.0ms (54.1% of total)ival-div: 16.0ms (26.2% of total)...c/correct-round.rkt:119:19: 7.0ms (11.5% of total)ival-add: 5.0ms (8.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (/ (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) z) x) y)> |
#<alt (/ (/ (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) z) x)> |
#<alt (/ (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) z)> |
#<alt (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))> |
#<alt (/ (/ y z) x)> |
#<alt (/ y z)> |
#<alt (* y (/ (* 1/24 (* x (* x x))) z))> |
#<alt (/ (* 1/24 (* x (* x x))) z)> |
#<alt (* 1/24 (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (/ (/ (* (* x (* 1/24 (* x (* x x)))) y) z) x)> |
#<alt (/ (* (* x (* 1/24 (* x (* x x)))) y) z)> |
#<alt (* (* x (* 1/24 (* x (* x x)))) y)> |
#<alt (* x (* 1/24 (* x (* x x))))> |
#<alt (/ (* y (* (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) (/ 1 z))) x)> |
#<alt (* y (* (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) (/ 1 z)))> |
#<alt (* (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) (/ 1 z))> |
#<alt (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x))))> |
#<alt (* (* x x) 1/720)> |
| Outputs |
|---|
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<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)> |
#<alt (* 1/720 (/ (* (pow x 5) y) z))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))> |
#<alt (* (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))))))> |
#<alt (* 1/720 (/ (* (pow x 5) y) z))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
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#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (* 1/2 (/ (* x y) z))> |
#<alt (* x (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z))))> |
#<alt (* x (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z))))> |
#<alt (* x (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z))))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 3) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (* 1/2 (/ (* (pow x 2) y) z))> |
#<alt (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z))))> |
#<alt (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z))))> |
#<alt (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z))))> |
#<alt (* 1/24 (/ (* (pow x 4) y) z))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* 1/24 (/ (* (pow x 4) y) z))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (/ (* (pow x 4) (* y (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))) z)> |
#<alt (* 1/2 (/ (pow x 2) z))> |
#<alt (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z))))> |
#<alt (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z))))> |
#<alt (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z))))> |
#<alt (* 1/24 (/ (pow x 4) z))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))))> |
#<alt (* 1/24 (/ (pow x 4) z))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))))> |
#<alt (* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))))> |
#<alt (/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z)> |
#<alt (/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z)> |
#<alt (/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z)> |
#<alt (/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z)> |
#<alt (/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z)> |
#<alt (/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z)> |
#<alt (/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z)> |
#<alt (/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z)> |
#<alt (/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z)> |
#<alt (/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z)> |
#<alt (/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z)> |
#<alt (/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z)> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | y | @ | inf | (* (* x (* 1/24 (* x (* x x)))) y) |
| 3.0ms | x | @ | 0 | (* y (/ (* 1/24 (* x (* x x))) z)) |
| 2.0ms | z | @ | -inf | (/ (* y (* (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) (/ 1 z))) x) |
| 2.0ms | y | @ | 0 | (/ (* y (* (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) (/ 1 z))) x) |
| 1.0ms | y | @ | 0 | (* y (/ (* 1/24 (* x (* x x))) z)) |
| 1× | batch-egg-rewrite |
| 4648× | /-lowering-/.f32 |
| 4648× | /-lowering-/.f64 |
| 3900× | *-lowering-*.f32 |
| 3900× | *-lowering-*.f64 |
| 1792× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 229 |
| 1 | 224 | 197 |
| 2 | 1931 | 197 |
| 0 | 8602 | 197 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) z) x) y) |
(/ (/ (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) z) x) |
(/ (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) z) |
(+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) |
(/ (/ y z) x) |
(/ y z) |
(* y (/ (* 1/24 (* x (* x x))) z)) |
(/ (* 1/24 (* x (* x x))) z) |
(* 1/24 (* x (* x x))) |
(* x (* x x)) |
(/ (/ (* (* x (* 1/24 (* x (* x x)))) y) z) x) |
(/ (* (* x (* 1/24 (* x (* x x)))) y) z) |
(* (* x (* 1/24 (* x (* x x)))) y) |
(* x (* 1/24 (* x (* x x)))) |
(/ (* y (* (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) (/ 1 z))) x) |
(* y (* (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) (/ 1 z))) |
(* (* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) (/ 1 z)) |
(* (* (* x x) (* x x)) (+ 1/24 (/ 1/2 (* x x)))) |
(* (* x x) 1/720) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y z))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (-.f64 #s(literal 0 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (*.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (-.f64 #s(literal 0 binary64) z)) y))) |
(/.f64 y (/.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y z))))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y z)) x) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y z))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) y) (*.f64 x z)) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (-.f64 #s(literal 0 binary64) z)) y) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) y)) (neg.f64 (*.f64 x z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y z)))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (neg.f64 (*.f64 x z))) |
(/.f64 (neg.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (-.f64 #s(literal 0 binary64) z)))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (-.f64 #s(literal 0 binary64) z)) y)) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(pow.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y z))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) (/.f64 y x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (*.f64 x z)) y) |
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (*.f64 x z))) |
(*.f64 (/.f64 y z) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x)) |
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(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) z) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) z) (/.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1/576 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 (*.f64 x x) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/576 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 (*.f64 x x) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) |
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) x) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/720 binary64)) x) |
| 1× | egg-herbie |
| 5492× | *-lowering-*.f32 |
| 5492× | *-lowering-*.f64 |
| 1730× | +-lowering-+.f64 |
| 1730× | +-lowering-+.f32 |
| 1626× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 5193 |
| 1 | 695 | 5025 |
| 2 | 2377 | 4950 |
| 3 | 7082 | 4949 |
| 0 | 8146 | 4949 |
| 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) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
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(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 (/.f64 y z) x) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 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) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 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 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 y (*.f64 #s(literal 1/720 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) z))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (*.f64 y (/.f64 #s(literal 1/24 binary64) (*.f64 z (*.f64 x x)))) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(*.f64 (+.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64))) (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 y (*.f64 #s(literal 1/720 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) z))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (*.f64 y (/.f64 #s(literal 1/24 binary64) (*.f64 z (*.f64 x x)))) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) |
(*.f64 (+.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64))) (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (-.f64 #s(literal 0 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 z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (*.f64 x x) z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) x) |
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 (*.f64 x x) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) |
(* 1/720 (/ (pow x 5) z)) |
(*.f64 #s(literal 1/720 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) z)) |
(* (pow x 5) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/720 binary64) z) (/.f64 #s(literal 1/24 binary64) (*.f64 z (*.f64 x x))))) |
(* (pow x 5) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/720 binary64) z) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 z (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) z)))) |
(* (pow x 5) (+ (/ 1/24 (* (pow x 2) z)) (+ (* 1/720 (/ 1 z)) (+ (* 1/2 (/ 1 (* (pow x 4) z))) (/ 1 (* (pow x 6) z)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 z (*.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) z) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) z)) (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/720 (/ (pow x 5) z)) |
(*.f64 #s(literal 1/720 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) z)) |
(* (pow x 5) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/720 binary64) z) (/.f64 #s(literal 1/24 binary64) (*.f64 z (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))) (pow x 2))) (* 1/720 (/ 1 z))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/720 binary64) z) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) z) (/.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 x x)))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 4))) (+ (/ 1/24 (* (pow x 2) z)) (* 1/720 (/ 1 z)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/720 binary64) z) (/.f64 #s(literal 1/24 binary64) (*.f64 z (*.f64 x x)))))) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
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(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) |
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(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) z)) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) z)) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) z)) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) z)) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) z)) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) z)) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) z)) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) z)) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) z)) |
(/ (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) z) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) z)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
Compiled 26666 to 2320 computations (91.3% saved)
37 alts after pruning (29 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1181 | 18 | 1199 |
| Fresh | 11 | 11 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1195 | 37 | 1232 |
| Status | Accuracy | Program |
|---|---|---|
| 52.5% | (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) y) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) z) x) | |
| 48.9% | (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))) z) x) | |
| 89.8% | (/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) | |
| 36.2% | (/.f64 (/.f64 (*.f64 y z) x) (*.f64 z z)) | |
| ✓ | 50.2% | (/.f64 (/.f64 y z) x) |
| ✓ | 52.0% | (/.f64 (/.f64 y x) z) |
| 43.1% | (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) (*.f64 (/.f64 z y) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 z y) (/.f64 z y))) | |
| 78.2% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 y x)) z) | |
| 40.9% | (/.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y)) z) | |
| 45.7% | (/.f64 (*.f64 y (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z)) x) | |
| ✓ | 85.8% | (/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) z))) x) |
| 45.7% | (/.f64 (*.f64 y (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) | |
| 44.6% | (/.f64 (*.f64 y (*.f64 x (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z))) x) | |
| 24.5% | (/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) | |
| 46.1% | (/.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 x x)))) z)) x) | |
| 41.3% | (/.f64 y (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x))) | |
| ✓ | 51.9% | (/.f64 y (*.f64 x z)) |
| 41.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x)) y)) | |
| ✓ | 51.9% | (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
| 51.4% | (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) z) x) y) | |
| ✓ | 92.2% | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x) z) y) |
| 92.2% | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x #s(literal 1/720 binary64)) x))))))) x) z) y) | |
| ✓ | 92.5% | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) y) |
| ✓ | 96.6% | (*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
| 51.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) | |
| 51.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) | |
| 81.1% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) (/.f64 y x)) | |
| 31.1% | (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) x)) | |
| 39.8% | (*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 1/24 binary64))) z) (/.f64 (*.f64 x x) #s(literal 1 binary64))) | |
| 92.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (/.f64 #s(literal 1 binary64) x))) y) | |
| 49.6% | (*.f64 (+.f64 (*.f64 x (*.f64 z #s(literal 1/2 binary64))) (/.f64 z x)) (/.f64 y (*.f64 z z))) | |
| 33.3% | (*.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) z) x)) | |
| 43.2% | (*.f64 (*.f64 y #s(literal 1/24 binary64)) (/.f64 (*.f64 x (*.f64 x x)) z)) | |
| 43.2% | (*.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) z)))) | |
| 24.1% | (*.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) z)) | |
| 42.0% | (*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) | |
| 43.2% | (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) z) y)) |
Compiled 2174 to 753 computations (65.4% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z)) |
(*.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 y z) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 (*.f64 y z) x) (*.f64 z z)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) z) y)) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z)) |
(*.f64 (*.f64 y #s(literal 1/24 binary64)) (/.f64 (*.f64 x (*.f64 x x)) z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 y (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y)) z) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z) x) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(*.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 1/24 binary64))) z) (/.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x)) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 z #s(literal 1/2 binary64))) (/.f64 z x)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 x x)))) z)) x) |
(/.f64 (*.f64 y (*.f64 x (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z))) x) |
(/.f64 (*.f64 y (*.f64 (/.f64 (*.f64 x x) z) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x) |
(/.f64 (*.f64 y (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) z) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (+.f64 (*.f64 (/.f64 y x) z) (*.f64 z (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 z z)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) (/.f64 y z)) |
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) z) x) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) (/.f64 y z))) |
(/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(*.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) (*.f64 (/.f64 z y) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 z y) (/.f64 z y))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) (/.f64 y x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) y) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x #s(literal 1/720 binary64)) x))))))) x) z) y) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x) z) y) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) y) z) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (/.f64 #s(literal 1 binary64) x))) y) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 (*.f64 x x) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) y) |
(/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) |
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) y) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) z) x) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))) x) z) y) |
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))) z) x) |
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) x) z) y) |
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) z) x) y) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) x)) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
5 calls:
| 21.0ms | y |
| 21.0ms | x |
| 20.0ms | z |
| 19.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 18.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 1 | x |
| 96.6% | 1 | y |
| 99.8% | 2 | z |
| 99.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 99.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z)) |
(*.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 y z) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 (*.f64 y z) x) (*.f64 z z)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) z) y)) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z)) |
(*.f64 (*.f64 y #s(literal 1/24 binary64)) (/.f64 (*.f64 x (*.f64 x x)) z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 y (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y)) z) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z) x) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(*.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 1/24 binary64))) z) (/.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x)) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 z #s(literal 1/2 binary64))) (/.f64 z x)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 x x)))) z)) x) |
(/.f64 (*.f64 y (*.f64 x (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z))) x) |
(/.f64 (*.f64 y (*.f64 (/.f64 (*.f64 x x) z) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x) |
(/.f64 (*.f64 y (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) z) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (+.f64 (*.f64 (/.f64 y x) z) (*.f64 z (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 z z)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) (/.f64 y z)) |
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) z) x) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) (/.f64 y z))) |
(/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(*.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) (*.f64 (/.f64 z y) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 z y) (/.f64 z y))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) (/.f64 y x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) y) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x #s(literal 1/720 binary64)) x))))))) x) z) y) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x) z) y) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) y) z) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (/.f64 #s(literal 1 binary64) x))) y) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 (*.f64 x x) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) y) |
(/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) |
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) y) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) z) x) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))) x) z) y) |
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))) z) x) |
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) x) z) y) |
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) z) x) y) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
| Outputs |
|---|
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
1 calls:
| 27.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z)) |
(*.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 y z) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 (*.f64 y z) x) (*.f64 z z)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) z) y)) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z)) |
(*.f64 (*.f64 y #s(literal 1/24 binary64)) (/.f64 (*.f64 x (*.f64 x x)) z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 y (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y)) z) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z) x) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(*.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 1/24 binary64))) z) (/.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x)) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 z #s(literal 1/2 binary64))) (/.f64 z x)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 x x)))) z)) x) |
(/.f64 (*.f64 y (*.f64 x (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z))) x) |
(/.f64 (*.f64 y (*.f64 (/.f64 (*.f64 x x) z) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x) |
(/.f64 (*.f64 y (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) z) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (+.f64 (*.f64 (/.f64 y x) z) (*.f64 z (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 z z)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) (/.f64 y z)) |
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) z) x) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) (/.f64 y z))) |
(/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(*.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) (*.f64 (/.f64 z y) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 z y) (/.f64 z y))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) (/.f64 y x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) y) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x #s(literal 1/720 binary64)) x))))))) x) z) y) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x) z) y) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) y) z) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (/.f64 #s(literal 1 binary64) x))) y) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 (*.f64 x x) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) y) |
(/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) |
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) y) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) z) x) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))) x) z) y) |
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))) z) x) |
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) x) z) y) |
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) z) x) y) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) y) z) x) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) y) |
3 calls:
| 28.0ms | z |
| 20.0ms | y |
| 20.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 1 | x |
| 94.2% | 2 | y |
| 95.8% | 2 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z)) |
(*.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 y z) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 (*.f64 y z) x) (*.f64 z z)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) z) y)) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z)) |
(*.f64 (*.f64 y #s(literal 1/24 binary64)) (/.f64 (*.f64 x (*.f64 x x)) z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 y (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y)) z) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z) x) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(*.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 1/24 binary64))) z) (/.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x)) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 z #s(literal 1/2 binary64))) (/.f64 z x)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 x x)))) z)) x) |
(/.f64 (*.f64 y (*.f64 x (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z))) x) |
(/.f64 (*.f64 y (*.f64 (/.f64 (*.f64 x x) z) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x) |
(/.f64 (*.f64 y (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) z) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (+.f64 (*.f64 (/.f64 y x) z) (*.f64 z (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 z z)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) (/.f64 y z)) |
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) z) x) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) (/.f64 y z))) |
(/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(*.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) (*.f64 (/.f64 z y) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 z y) (/.f64 z y))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) (/.f64 y x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) y) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x #s(literal 1/720 binary64)) x))))))) x) z) y) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) x) z) y) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) y) |
1 calls:
| 19.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 2 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z)) |
(*.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 y z) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 (*.f64 y z) x) (*.f64 z z)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) z) y)) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z)) |
(*.f64 (*.f64 y #s(literal 1/24 binary64)) (/.f64 (*.f64 x (*.f64 x x)) z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 y (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y)) z) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z) x) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(*.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 1/24 binary64))) z) (/.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x)) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 z #s(literal 1/2 binary64))) (/.f64 z x)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 x x)))) z)) x) |
(/.f64 (*.f64 y (*.f64 x (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z))) x) |
(/.f64 (*.f64 y (*.f64 (/.f64 (*.f64 x x) z) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x) |
(/.f64 (*.f64 y (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) z) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (+.f64 (*.f64 (/.f64 y x) z) (*.f64 z (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 z z)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) (/.f64 y z)) |
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) z) x) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) (/.f64 y z))) |
(/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(*.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) (*.f64 (/.f64 z y) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 z y) (/.f64 z y))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) (/.f64 y x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) (/.f64 y x)) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) z) x) |
3 calls:
| 30.0ms | z |
| 16.0ms | x |
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | x |
| 92.7% | 2 | y |
| 89.8% | 1 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z)) |
(*.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 y z) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 (*.f64 y z) x) (*.f64 z z)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) z) y)) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z)) |
(*.f64 (*.f64 y #s(literal 1/24 binary64)) (/.f64 (*.f64 x (*.f64 x x)) z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 y (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y)) z) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z) x) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(*.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 1/24 binary64))) z) (/.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x)) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 z #s(literal 1/2 binary64))) (/.f64 z x)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 x x)))) z)) x) |
(/.f64 (*.f64 y (*.f64 x (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z))) x) |
(/.f64 (*.f64 y (*.f64 (/.f64 (*.f64 x x) z) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x) |
(/.f64 (*.f64 y (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) z) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (+.f64 (*.f64 (/.f64 y x) z) (*.f64 z (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 z z)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) (/.f64 y z)) |
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) |
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) |
1 calls:
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 2 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z)) |
(*.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 y z) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 (*.f64 y z) x) (*.f64 z z)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) z) y)) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z)) |
(*.f64 (*.f64 y #s(literal 1/24 binary64)) (/.f64 (*.f64 x (*.f64 x x)) z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 y (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y)) z) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z) x) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(*.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 1/24 binary64))) z) (/.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x)) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 z #s(literal 1/2 binary64))) (/.f64 z x)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 x x)))) z)) x) |
(/.f64 (*.f64 y (*.f64 x (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z))) x) |
(/.f64 (*.f64 y (*.f64 (/.f64 (*.f64 x x) z) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x) |
(/.f64 (*.f64 y (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) z) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (+.f64 (*.f64 (/.f64 y x) z) (*.f64 z (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 z z)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) (/.f64 y z)) |
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (/.f64 y x) z) |
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) |
3 calls:
| 13.0ms | x |
| 13.0ms | z |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 1 | z |
| 90.1% | 2 | x |
| 85.8% | 1 | y |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z)) |
(*.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 y z) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 (*.f64 y z) x) (*.f64 z z)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) z) y)) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z)) |
(*.f64 (*.f64 y #s(literal 1/24 binary64)) (/.f64 (*.f64 x (*.f64 x x)) z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 y (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y)) z) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z) x) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(*.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 1/24 binary64))) z) (/.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x)) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 z #s(literal 1/2 binary64))) (/.f64 z x)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 x x)))) z)) x) |
(/.f64 (*.f64 y (*.f64 x (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z))) x) |
(/.f64 (*.f64 y (*.f64 (/.f64 (*.f64 x x) z) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x) |
(/.f64 (*.f64 y (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) y) z) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 (+.f64 (*.f64 (/.f64 y x) z) (*.f64 z (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 z z)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) (/.f64 y z)) |
| Outputs |
|---|
(/.f64 (/.f64 y x) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 x x)))) z)) x) |
1 calls:
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.8% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z)) |
(*.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 y z) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 (*.f64 y z) x) (*.f64 z z)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) z) y)) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) z)) |
(*.f64 (*.f64 y #s(literal 1/24 binary64)) (/.f64 (*.f64 x (*.f64 x x)) z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 y (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y)) z) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z) x) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 x (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(*.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 1/24 binary64))) z) (/.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (/.f64 z x) #s(literal 24 binary64)) (*.f64 x x)) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 z #s(literal 1/2 binary64))) (/.f64 z x)) (/.f64 y (*.f64 z z))) |
| Outputs |
|---|
(/.f64 (/.f64 y x) z) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) z) y)) |
3 calls:
| 37.0ms | x |
| 9.0ms | z |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 1 | y |
| 79.0% | 1 | z |
| 86.9% | 2 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z)) |
(*.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 y z) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 (*.f64 y z) x) (*.f64 z z)) |
| Outputs |
|---|
(/.f64 (/.f64 y x) z) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z)) |
3 calls:
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.8% | 2 | y |
| 56.8% | 2 | z |
| 66.9% | 2 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
| Outputs |
|---|
(/.f64 (/.f64 y z) x) |
(/.f64 y (*.f64 x z)) |
2 calls:
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.8% | 2 | z |
| 54.5% | 2 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
| Outputs |
|---|
(/.f64 (/.f64 y x) z) |
(/.f64 y (*.f64 x z)) |
2 calls:
| 3.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.9% | 2 | y |
| 54.9% | 2 | z |
Compiled 8 to 6 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
| Outputs |
|---|
(/.f64 y (*.f64 x z)) |
3 calls:
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 1 | x |
| 51.9% | 1 | y |
| 51.9% | 1 | z |
Compiled 12 to 9 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0935395021680241e+220 | 3.0181741158690203e+221 |
Compiled 17 to 12 computations (29.4% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.8409306241064323e-199 | 2.690352740078857e-195 |
| 11.0ms | 96× | 0 | valid |
Compiled 227 to 156 computations (31.3% saved)
ival-div: 1.0ms (29.5% of total)ival-mult: 1.0ms (29.5% of total)ival-cosh: 1.0ms (29.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.7564264319284924e+20 | 3.973526727553073e+21 |
| 1.0ms | 16× | 0 | valid |
Compiled 75 to 50 computations (33.3% saved)
ival-div: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)ival-cosh: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 14349883.17366734 | 62114916.42788936 |
| 6.0ms | 96× | 0 | valid |
Compiled 329 to 222 computations (32.5% saved)
ival-div: 1.0ms (31.9% of total)ival-mult: 1.0ms (31.9% of total)ival-cosh: 1.0ms (31.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1643110.5680407162 | 121501568.35892771 |
| 1.0ms | 16× | 0 | valid |
Compiled 63 to 44 computations (30.2% saved)
ival-div: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)ival-cosh: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.9580959073002405e+190 | 4.402688169939414e+191 |
| 7.0ms | 96× | 0 | valid |
Compiled 293 to 204 computations (30.4% saved)
ival-div: 1.0ms (30.9% of total)ival-mult: 1.0ms (30.9% of total)ival-cosh: 1.0ms (30.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 8.548722735717197e-120 | 5.548213137975135e-115 |
| 9.0ms | 128× | 0 | valid |
Compiled 273 to 188 computations (31.1% saved)
ival-div: 2.0ms (44.6% of total)ival-cosh: 2.0ms (44.6% of total)ival-mult: 1.0ms (22.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.5622762773446724e-10 | 6.4582228962198 |
| 13.0ms | 160× | 0 | valid |
Compiled 297 to 192 computations (35.4% saved)
ival-div: 2.0ms (33.2% of total)ival-cosh: 2.0ms (33.2% of total)ival-mult: 1.0ms (16.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.5622762773446724e-10 | 6.4582228962198 |
| 11.0ms | 160× | 0 | valid |
Compiled 257 to 172 computations (33.1% saved)
ival-div: 2.0ms (33.9% of total)ival-cosh: 2.0ms (33.9% of total)ival-mult: 1.0ms (16.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.5622762773446724e-10 | 6.4582228962198 |
| 11.0ms | 160× | 0 | valid |
Compiled 217 to 152 computations (30% saved)
ival-div: 2.0ms (34.5% of total)ival-cosh: 2.0ms (34.5% of total)ival-mult: 1.0ms (17.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 8716434732329160.0 | 413677373251139500.0 |
| 7.0ms | 112× | 0 | valid |
Compiled 143 to 96 computations (32.9% saved)
ival-div: 2.0ms (53.1% of total)ival-mult: 1.0ms (26.6% of total)ival-cosh: 1.0ms (26.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 8716434732329160.0 | 413677373251139500.0 |
| 6.0ms | 96× | 0 | valid |
Compiled 125 to 84 computations (32.8% saved)
ival-div: 1.0ms (32.1% of total)ival-mult: 1.0ms (32.1% of total)ival-cosh: 1.0ms (32.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 54× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 363 |
| 1 | 139 | 363 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 19999999999999999928744841473790220281181953991931746222266540079415506765858221225232943222654423944589141087860633254073814857614758911950153983586547993794999264272985505583615112020953511422477116871894309624193482752 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)) |
(if (<=.f64 z #s(literal 6575169876935467/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) (*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)) |
(if (<=.f64 z #s(literal 200000000000000000000 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) y) z) x) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) y)) |
(if (<=.f64 z #s(literal 22500000 binary64)) (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) y)) |
(if (<=.f64 y #s(literal 2000000 binary64)) (/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) z) x)) |
(if (<=.f64 y #s(literal 119999999999999992877954897399563223451479746196316311646413785330107466199012678948002411362879404520637843802869229319685045772930731246770522193728394423583597567697869561186805114428456960 binary64)) (/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x)) |
(if (<=.f64 x #s(literal 6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (/.f64 (/.f64 y x) z) (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 (/.f64 y x) z) (/.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 x x)))) z)) x)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 (/.f64 y x) z) (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) z) y))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 (/.f64 y x) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z))) |
(if (<=.f64 z #s(literal 105000000000000000 binary64)) (/.f64 (/.f64 y z) x) (/.f64 y (*.f64 x z))) |
(if (<=.f64 z #s(literal 150000000000000000 binary64)) (/.f64 (/.f64 y x) z) (/.f64 y (*.f64 x z))) |
(/.f64 y (*.f64 x z)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 19999999999999999928744841473790220281181953991931746222266540079415506765858221225232943222654423944589141087860633254073814857614758911950153983586547993794999264272985505583615112020953511422477116871894309624193482752 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 19999999999999999928744841473790220281181953991931746222266540079415506765858221225232943222654423944589141087860633254073814857614758911950153983586547993794999264272985505583615112020953511422477116871894309624193482752 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))) |
(if (<=.f64 z #s(literal 6575169876935467/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) (*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)) |
(if (<=.f64 z #s(literal 6575169876935467/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))) |
(if (<=.f64 z #s(literal 200000000000000000000 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) y) z) x) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) y)) |
(if (<=.f64 z #s(literal 200000000000000000000 binary64)) (/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) z) x) (*.f64 y (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x))) |
(if (<=.f64 z #s(literal 22500000 binary64)) (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x) y)) |
(if (<=.f64 z #s(literal 22500000 binary64)) (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x) (*.f64 y (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) z) x))) |
(if (<=.f64 y #s(literal 2000000 binary64)) (/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) z) x)) |
(if (<=.f64 y #s(literal 2000000 binary64)) (/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x x)))) x) z) (/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x x)))) z) x)) |
(if (<=.f64 y #s(literal 119999999999999992877954897399563223451479746196316311646413785330107466199012678948002411362879404520637843802869229319685045772930731246770522193728394423583597567697869561186805114428456960 binary64)) (/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) z) (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x)) |
(if (<=.f64 y #s(literal 119999999999999992877954897399563223451479746196316311646413785330107466199012678948002411362879404520637843802869229319685045772930731246770522193728394423583597567697869561186805114428456960 binary64)) (/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x x)))) x) z) (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x)) |
(if (<=.f64 x #s(literal 6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (/.f64 (/.f64 y x) z) (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) x)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 (/.f64 y x) z) (/.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 x x)))) z)) x)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 (/.f64 y x) z) (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) z) y))) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 (/.f64 y x) z) (*.f64 #s(literal 1/24 binary64) (*.f64 y (/.f64 (*.f64 x (*.f64 x x)) z)))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 (/.f64 y x) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) z))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 (/.f64 y x) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z))) |
(if (<=.f64 z #s(literal 105000000000000000 binary64)) (/.f64 (/.f64 y z) x) (/.f64 y (*.f64 x z))) |
(if (<=.f64 z #s(literal 150000000000000000 binary64)) (/.f64 (/.f64 y x) z) (/.f64 y (*.f64 x z))) |
(/.f64 y (*.f64 x z)) |
| 5492× | *-lowering-*.f32 |
| 5492× | *-lowering-*.f64 |
| 4648× | /-lowering-/.f32 |
| 4648× | /-lowering-/.f64 |
| 4646× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 5193 |
| 1 | 695 | 5025 |
| 2 | 2377 | 4950 |
| 3 | 7082 | 4949 |
| 0 | 8146 | 4949 |
| 0 | 31 | 164 |
| 1 | 182 | 150 |
| 2 | 1665 | 150 |
| 0 | 8637 | 150 |
| 0 | 73 | 2216 |
| 1 | 218 | 2196 |
| 2 | 731 | 2163 |
| 3 | 1955 | 2144 |
| 4 | 2751 | 2144 |
| 5 | 3598 | 2138 |
| 6 | 4338 | 2138 |
| 7 | 6097 | 2138 |
| 8 | 6530 | 2135 |
| 9 | 6788 | 2132 |
| 10 | 7065 | 2132 |
| 11 | 7681 | 2132 |
| 12 | 7707 | 2132 |
| 0 | 8433 | 2132 |
| 0 | 165 | 4927 |
| 1 | 562 | 4734 |
| 2 | 1823 | 4527 |
| 3 | 6099 | 4527 |
| 0 | 8015 | 4527 |
| 0 | 39 | 221 |
| 1 | 237 | 199 |
| 2 | 2063 | 197 |
| 0 | 9278 | 197 |
| 0 | 36 | 229 |
| 1 | 224 | 197 |
| 2 | 1931 | 197 |
| 0 | 8602 | 197 |
| 0 | 7 | 8 |
| 1 | 18 | 8 |
| 2 | 41 | 8 |
| 3 | 91 | 8 |
| 4 | 192 | 8 |
| 5 | 318 | 8 |
| 6 | 537 | 8 |
| 7 | 1162 | 8 |
| 8 | 2562 | 8 |
| 9 | 3282 | 8 |
| 10 | 3620 | 8 |
| 11 | 3683 | 8 |
| 12 | 3687 | 8 |
| 13 | 3687 | 8 |
| 14 | 3724 | 8 |
| 15 | 3735 | 8 |
| 16 | 3737 | 8 |
| 17 | 3742 | 8 |
| 18 | 3748 | 8 |
| 0 | 3748 | 8 |
| 0 | 10 | 37 |
| 1 | 49 | 37 |
| 2 | 325 | 37 |
| 3 | 2999 | 37 |
| 0 | 8408 | 37 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 920 to 473 computations (48.6% saved)
(negabs z)
Compiled 1104 to 376 computations (65.9% saved)
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