
Time bar (total: 13.8s)
| 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: 15.0ms (45% of total)ival-div: 11.0ms (33% of total)ival-mult: 6.0ms (18% of total)const: 1.0ms (3% of total)backward-pass: 0.0ms (0% of total)| 939.0ms | 8256× | 0 | valid |
ival-cosh: 333.0ms (55.8% of total)ival-div: 195.0ms (32.7% of total)ival-mult: 57.0ms (9.6% of total)const: 9.0ms (1.5% of total)backward-pass: 3.0ms (0.5% 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 |
|---|---|---|---|---|---|
| 29 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 10 | 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) |
| 59.0ms | 512× | 0 | valid |
Compiled 63 to 23 computations (63.5% saved)
ival-div: 8.0ms (43.7% of total)ival-cosh: 6.0ms (32.8% of total)ival-mult: 3.0ms (16.4% of total)const: 1.0ms (5.5% of total)backward-pass: 0.0ms (0% of total)Compiled 11 to 7 computations (36.4% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.4% | (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) |
| ▶ | 84.8% | (/.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% | (cosh.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 (cosh.f64 x) y) z) |
| ✓ | accuracy | 99.6% | (*.f64 (cosh.f64 x) y) |
| ✓ | accuracy | 93.7% | (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 96.1% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| ✓ | accuracy | 90.9% | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 46.0ms | 256× | 0 | valid |
Compiled 49 to 11 computations (77.6% saved)
ival-div: 7.0ms (43.3% of total)ival-cosh: 5.0ms (30.9% of total)ival-mult: 3.0ms (18.5% 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 | |
|---|---|---|---|---|
| 11.0ms | x | @ | inf | (/ (* (cosh x) (/ y x)) z) |
| 3.0ms | x | @ | -inf | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | y | @ | -inf | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | y | @ | 0 | (/ (* (cosh x) (/ y x)) z) |
| 1.0ms | z | @ | 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 | 3001 | 37 |
| 0 | 8431 | 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 x (/.f64 (*.f64 (cosh.f64 x) y) z))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 z (*.f64 (cosh.f64 x) y))) #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 z (*.f64 (cosh.f64 x) y))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x z))) (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x z)) (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) z) (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) x) (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(-.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 #s(literal 0 binary64) (/.f64 y x)) (/.f64 z (cosh.f64 x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 z (cosh.f64 x))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 z (cosh.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) z)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y 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 #s(literal 0 binary64) (/.f64 y 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 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(-.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 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(-.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 z (/.f64 y x)))) (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 z (/.f64 y x))))) |
(-.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 z (/.f64 y x)) #s(literal 2 binary64))) (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 z (/.f64 y x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x)) (/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) 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 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) z)) (/.f64 (cosh.f64 x) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 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 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x))) |
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) |
(/.f64 (cosh.f64 x) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 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 (*.f64 (cosh.f64 x) y) z) x) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 z (/.f64 y x)))) |
(/.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 z (/.f64 y x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) y)) (-.f64 #s(literal 0 binary64) (*.f64 x z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) y)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) y)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) y)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cosh.f64 x) y) 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 x (/.f64 (*.f64 (cosh.f64 x) y) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) x) z))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 (cosh.f64 x) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 (cosh.f64 x) y))) |
(/.f64 (/.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 x (/.f64 (*.f64 (cosh.f64 x) y) z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) x) z)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) (*.f64 #s(literal 2 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) (*.f64 z (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) (*.f64 x (*.f64 z #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) (*.f64 (*.f64 x z) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x z)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y))) (*.f64 z (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y))) (neg.f64 (*.f64 (*.f64 x z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 x z)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y))) (neg.f64 (*.f64 z (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y))) (neg.f64 (*.f64 x (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) x) (*.f64 z #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) x) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) x) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.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 y x)) (neg.f64 (/.f64 z (cosh.f64 x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y 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 z (/.f64 y x))))) |
(/.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 z (/.f64 y x)) #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 (-.f64 #s(literal 0 binary64) z) (*.f64 (cosh.f64 x) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 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 z (/.f64 y x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) (neg.f64 (*.f64 x (/.f64 z y)))) |
(/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) z) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) x) z) #s(literal 2 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) y))) |
(/.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 z (/.f64 y x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) #s(literal 1 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) #s(literal -1 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y))) (*.f64 z (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y))) (*.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))) |
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(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) y))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) y))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) #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 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) 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 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) #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 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y))) #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 #s(literal 0 binary64) (*.f64 (cosh.f64 x) y))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) y)) #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 | 2160 |
| 2 | 732 | 2130 |
| 3 | 1960 | 2108 |
| 4 | 2765 | 2108 |
| 5 | 3618 | 2102 |
| 6 | 4350 | 2102 |
| 7 | 6116 | 2102 |
| 8 | 6537 | 2102 |
| 9 | 6795 | 2099 |
| 10 | 7072 | 2099 |
| 11 | 7687 | 2099 |
| 12 | 7713 | 2099 |
| 0 | 8439 | 2099 |
| 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 (/.f64 y z) x) |
(/ (+ (* 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 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 x z)) |
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(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) z) |
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 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 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 2441 computations (89.2% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1409 | 14 | 1423 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 1410 | 15 | 1425 |
| Status | Accuracy | Program |
|---|---|---|
| 88.5% | (/.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) | |
| 79.8% | (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) z) x) | |
| ✓ | 93.4% | (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) |
| 90.9% | (/.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) | |
| 84.4% | (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) | |
| 55.4% | (/.f64 (/.f64 y z) x) | |
| ▶ | 54.8% | (/.f64 (/.f64 y x) z) |
| ▶ | 81.1% | (/.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) |
| 81.9% | (/.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 x (*.f64 x #s(literal 1/720 binary64))))))))) (/.f64 y x)) z) | |
| 69.5% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y x)) z) | |
| ▶ | 66.2% | (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
| ▶ | 83.4% | (/.f64 (*.f64 y (+.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 x (*.f64 x #s(literal 1/720 binary64)))))))))) (*.f64 x z)) |
| 80.4% | (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) | |
| ▶ | 96.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (cosh.f64 x))) y) |
| 60.1% | (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
Compiled 477 to 323 computations (32.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) |
| ✓ | 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 x (*.f64 x #s(literal 1/720 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 y (+.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 x (*.f64 x #s(literal 1/720 binary64)))))))))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 y (+.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 x (*.f64 x #s(literal 1/720 binary64)))))))))) (*.f64 x z)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
| ✓ | 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 (+.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) |
| ✓ | cost-diff | 128 | (*.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)) |
| ✓ | 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 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 y x) z) |
| ✓ | cost-diff | 0 | (/.f64 z (cosh.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (cosh.f64 x))) y) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (cosh.f64 x))) |
| 3298× | *-lowering-*.f32 |
| 3298× | *-lowering-*.f64 |
| 1804× | /-lowering-/.f32 |
| 1804× | /-lowering-/.f64 |
| 1690× | +-lowering-+.f64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 277 |
| 1 | 121 | 248 |
| 2 | 363 | 248 |
| 3 | 1073 | 247 |
| 4 | 3443 | 245 |
| 5 | 6063 | 244 |
| 6 | 7385 | 244 |
| 0 | 8048 | 244 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ 1 x) (/ z (cosh x))) y) |
(/ (/ 1 x) (/ z (cosh x))) |
(/ 1 x) |
1 |
x |
(/ z (cosh x)) |
z |
(cosh x) |
y |
(/ (/ y x) z) |
(/ y x) |
y |
x |
z |
(/ (* y (+ (/ 1 x) (* x 1/2))) z) |
(* y (+ (/ 1 x) (* x 1/2))) |
y |
(+ (/ 1 x) (* x 1/2)) |
(/ 1 x) |
1 |
x |
(* x 1/2) |
1/2 |
z |
(/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) (/ y x)) z) |
(* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) (/ y x)) |
(+ 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 x) |
y |
z |
(/ (* y (+ 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))))))))) |
y |
(+ 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)) |
(* x 1/720) |
1/720 |
(* x z) |
z |
| Outputs |
|---|
(* (/ (/ 1 x) (/ z (cosh x))) y) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) |
(/ (/ 1 x) (/ z (cosh x))) |
(/.f64 (/.f64 (cosh.f64 x) x) z) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ z (cosh x)) |
(/.f64 z (cosh.f64 x)) |
z |
(cosh x) |
(cosh.f64 x) |
y |
(/ (/ y x) z) |
(/.f64 y (*.f64 x z)) |
(/ y x) |
(/.f64 y x) |
y |
x |
z |
(/ (* y (+ (/ 1 x) (* x 1/2))) z) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) (/.f64 y z)) |
(* y (+ (/ 1 x) (* x 1/2))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
y |
(+ (/ 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) |
z |
(/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) (/ y x)) z) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) (/ y x)) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) #s(literal 1/24 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* x 1/24)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(/ y x) |
(/.f64 y x) |
y |
z |
(/ (* y (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))))) (* x z)) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) 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) |
(* y (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))))) |
(*.f64 y (+.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))))))))) |
y |
(+ 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 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
x |
(* x (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720)))))) |
(*.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)))))) |
(+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))) |
(+.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))))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) (+ 1/24 (* x (* x 1/720)))) |
(*.f64 (*.f64 x 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)) |
(* x 1/720) |
(*.f64 x #s(literal 1/720 binary64)) |
1/720 |
#s(literal 1/720 binary64) |
(* x z) |
(*.f64 x z) |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x #s(literal 1/720 binary64)) |
| ✓ | accuracy | 97.2% | (/.f64 (*.f64 y (+.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 x (*.f64 x #s(literal 1/720 binary64)))))))))) (*.f64 x z)) |
| ✓ | accuracy | 100.0% | (*.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)))))) (/.f64 y x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 96.1% | (/.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) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 96.1% | (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 96.1% | (/.f64 (/.f64 y x) z) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (cosh.f64 x))) |
| ✓ | accuracy | 96.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (cosh.f64 x))) y) |
| 337.0ms | 111× | 5 | exit |
| 114.0ms | 145× | 0 | valid |
Compiled 320 to 38 computations (88.1% saved)
backward-pass: 59.0ms (38.2% of total)ival-mult: 40.0ms (25.9% of total)ival-div: 22.0ms (14.3% of total)ival-add: 13.0ms (8.4% of total)...c/correct-round.rkt:119:19: 12.0ms (7.8% of total)ival-cosh: 7.0ms (4.5% of total)const: 1.0ms (0.6% of total)| Inputs |
|---|
#<alt (/ (/ 1 x) (/ z (cosh x)))> |
#<alt (* (/ (/ 1 x) (/ z (cosh x))) y)> |
#<alt (/ 1 x)> |
#<alt (/ z (cosh x))> |
#<alt (/ (/ y x) z)> |
#<alt (/ y x)> |
#<alt (/ (* y (+ (/ 1 x) (* x 1/2))) z)> |
#<alt (* y (+ (/ 1 x) (* x 1/2)))> |
#<alt (+ (/ 1 x) (* x 1/2))> |
#<alt (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) (/ y x))> |
#<alt (/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) (/ y x)) z)> |
#<alt (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24)))))> |
#<alt (* (* x x) (+ 1/2 (* x (* x 1/24))))> |
#<alt (/ (* y (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))))) (* x z))> |
#<alt (* y (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720)))))))))> |
#<alt (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))))> |
#<alt (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720)))))))> |
#<alt (cosh x)> |
#<alt (* x 1/2)> |
#<alt (* x 1/24)> |
#<alt (* x (* x 1/24))> |
#<alt (* x 1/720)> |
#<alt (* (* x x) (+ 1/24 (* x (* x 1/720))))> |
#<alt (* x (* x 1/720))> |
| Outputs |
|---|
#<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 (/ 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)> |
#<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 (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow x 2) z)))> |
#<alt (+ z (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 z) (* 1/24 z)))) (* 1/2 z))))> |
#<alt (+ z (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 z) (* 1/24 z))) (+ (* -1/48 z) (* 1/720 z))))) (+ (* -1/4 z) (* 1/24 z)))) (* 1/2 z))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ z (+ (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 (/ 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 (+ (* 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 (+ (* 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)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (/ y x)> |
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)> |
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)> |
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)> |
#<alt (* 1/2 (* x y))> |
#<alt (* x (+ (* 1/2 y) (/ y (pow x 2))))> |
#<alt (* x (+ (* 1/2 y) (/ y (pow x 2))))> |
#<alt (* x (+ (* 1/2 y) (/ y (pow x 2))))> |
#<alt (* 1/2 (* x y))> |
#<alt (* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))> |
#<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 (/ 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) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))> |
#<alt (* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) 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) (+ (* 1/24 (/ (* (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 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 (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 (/ (* 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 (* 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))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<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 (* 1/720 (* (pow x 6) y))> |
#<alt (* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))> |
#<alt (* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))> |
#<alt (* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))> |
#<alt (* 1/720 (* (pow x 6) y))> |
#<alt (* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))> |
#<alt (* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))> |
#<alt (* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))> |
#<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 (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))> |
#<alt (* (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))))))> |
#<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))))))> |
#<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 (* 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)> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 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))> |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | (/ (/ 1 x) (/ z (cosh x))) |
| 7.0ms | x | @ | inf | (* (* x x) (+ 1/2 (* x (* x 1/24)))) |
| 2.0ms | z | @ | 0 | (/ (* y (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))))) (* x z)) |
| 2.0ms | y | @ | inf | (* y (+ (/ 1 x) (* x 1/2))) |
| 2.0ms | y | @ | 0 | (/ (* y (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))))) (* x z)) |
| 1× | batch-egg-rewrite |
| 3902× | *-lowering-*.f32 |
| 3902× | *-lowering-*.f64 |
| 3246× | /-lowering-/.f32 |
| 3246× | /-lowering-/.f64 |
| 2234× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 204 |
| 1 | 243 | 180 |
| 2 | 2181 | 180 |
| 0 | 9368 | 180 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 1 x) (/ z (cosh x))) |
(* (/ (/ 1 x) (/ z (cosh x))) y) |
(/ 1 x) |
(/ z (cosh x)) |
(/ (/ y x) z) |
(/ y x) |
(/ (* y (+ (/ 1 x) (* x 1/2))) z) |
(* y (+ (/ 1 x) (* x 1/2))) |
(+ (/ 1 x) (* x 1/2)) |
(* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) (/ y x)) |
(/ (* (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) (/ y x)) z) |
(+ 1 (* (* x x) (+ 1/2 (* x (* x 1/24))))) |
(* (* x x) (+ 1/2 (* x (* x 1/24)))) |
(/ (* y (+ 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))))))))) |
(+ 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))))))) |
(cosh x) |
(* x 1/2) |
(* x 1/24) |
(* x (* x 1/24)) |
(* x 1/720) |
(* (* x x) (+ 1/24 (* x (* x 1/720)))) |
(* x (* x 1/720)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x z) (cosh.f64 x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (cosh.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (cosh.f64 x)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x z) (cosh.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (cosh.f64 x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x z) (cosh.f64 x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 z (cosh.f64 x)) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (cosh.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (cosh.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x z) (cosh.f64 x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (cosh.f64 x)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x z) (cosh.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 z (cosh.f64 x)))) |
(/.f64 (/.f64 (cosh.f64 x) z) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 z #s(literal 2 binary64))) |
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(/.f64 (*.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64))) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) 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 |
| 5252× | *-lowering-*.f32 |
| 5252× | *-lowering-*.f64 |
| 3860× | +-lowering-+.f64 |
| 3860× | +-lowering-+.f32 |
| 1446× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 270 | 5326 |
| 1 | 953 | 4697 |
| 2 | 3515 | 4606 |
| 0 | 8333 | 4606 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/ 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) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
z |
(+ z (* -1/2 (* (pow x 2) z))) |
(+ z (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 z) (* 1/24 z)))) (* 1/2 z)))) |
(+ z (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 z) (* 1/24 z))) (+ (* -1/48 z) (* 1/720 z))))) (+ (* -1/4 z) (* 1/24 z)))) (* 1/2 z)))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (exp x) (/ 1 (exp x))))) |
(* 2 (/ z (+ (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)) |
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(/ y (* x z)) |
(/ y (* x z)) |
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(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y x) |
(/ 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 (+ (* 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 (+ (* 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))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/2 (* x y)) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(/ 1 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)))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/24 (* (pow x 3) y)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ y (* 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)) |
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 (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))))) |
(/ (* 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 (* 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)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(* 1/720 (* (pow x 6) y)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (* (pow x 6) y)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* (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)))))) |
(* 1/720 (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 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 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) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 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 |
|---|
(/ 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 x (*.f64 x #s(literal 1/720 binary64)))))))) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 x z)) |
(/ 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 (*.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 #s(literal 1/2 binary64) y) z) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/720 (* (pow x 6) y)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 y (pow.f64 x #s(literal 6 binary64)))) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))))) |
1 |
#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 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) |
(* 1/720 (pow x 6)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal 1 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal 1 binary64)) |
(* 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 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) |
(* 1/720 (pow x 6)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* 1/720 (pow x 6)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
1 |
#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 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 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)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* 1/720 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* 1/720 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
Compiled 32601 to 2946 computations (91% saved)
31 alts after pruning (29 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1321 | 27 | 1348 |
| Fresh | 7 | 2 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1332 | 31 | 1363 |
| Status | Accuracy | Program |
|---|---|---|
| 16.0% | (/.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))) z) | |
| ▶ | 80.3% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (/.f64 x y)) z) |
| 54.4% | (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) (*.f64 x z)) | |
| 55.4% | (/.f64 (/.f64 y z) x) | |
| ✓ | 54.8% | (/.f64 (/.f64 y x) z) |
| 55.2% | (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) | |
| 80.8% | (/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) x) | |
| 78.1% | (/.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) | |
| 66.1% | (/.f64 (+.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) z) | |
| 82.7% | (/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) y) (*.f64 x z)) | |
| 81.9% | (/.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) z) | |
| 54.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) | |
| 56.5% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (/.f64 y x)) z) | |
| ✓ | 81.1% | (/.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) |
| 34.1% | (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y x)) z) | |
| 90.0% | (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z)) x) | |
| 59.2% | (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x z)) | |
| 83.4% | (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) x)))))) (*.f64 x z)) | |
| 83.4% | (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x z)) | |
| 21.6% | (/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) | |
| ▶ | 39.9% | (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z) |
| 80.4% | (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) | |
| ▶ | 56.0% | (/.f64 y (*.f64 x z)) |
| ▶ | 92.8% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) y) |
| 80.7% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) y) | |
| 55.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) | |
| 66.9% | (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) z) y) | |
| 84.6% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) x) (/.f64 y z)) | |
| ▶ | 90.0% | (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z) (/.f64 #s(literal 1 binary64) y))) |
| 48.3% | (*.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) | |
| 39.2% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
Compiled 1516 to 822 computations (45.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (/.f64 x y)) z) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (/.f64 x y)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z) |
| ✓ | cost-diff | 0 | (*.f64 x z) |
| ✓ | cost-diff | 0 | (/.f64 y (*.f64 x z)) |
| ✓ | cost-diff | 0 | (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) y) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) |
| 3302× | *-lowering-*.f32 |
| 3302× | *-lowering-*.f64 |
| 3036× | +-lowering-+.f64 |
| 3036× | +-lowering-+.f32 |
| 1510× | distribute-lft-in |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 357 |
| 1 | 113 | 316 |
| 2 | 359 | 314 |
| 3 | 970 | 313 |
| 4 | 2726 | 308 |
| 5 | 5756 | 308 |
| 6 | 7121 | 308 |
| 7 | 7924 | 308 |
| 0 | 8064 | 308 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ 1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))) y) |
(/ (/ 1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))) |
(/ 1 x) |
1 |
x |
(/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))) |
z |
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))) |
(* x (* x (+ 1/2 (* (* x x) 1/24)))) |
(* x (+ 1/2 (* (* x x) 1/24))) |
(+ 1/2 (* (* x x) 1/24)) |
1/2 |
(* (* x x) 1/24) |
(* x x) |
1/24 |
y |
(/ y (* x z)) |
y |
(* x z) |
x |
z |
(/ (* 1/24 (* y (* x (* x x)))) z) |
(* 1/24 (* y (* x (* x x)))) |
1/24 |
(* y (* x (* x x))) |
y |
(* x (* x x)) |
x |
(* x x) |
z |
(/ (/ (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))) (/ x y)) z) |
(/ (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))) (/ x y)) |
(+ 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 x) |
1/24 |
(/ x y) |
y |
z |
(* (/ 1 x) (/ (/ (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))) z) (/ 1 y))) |
(/ 1 x) |
1 |
x |
(/ (/ (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))) z) (/ 1 y)) |
(/ (+ 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))))))) |
(* (* 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)))) |
(+ 1/24 (* x (* x 1/720))) |
1/24 |
(* x (* x 1/720)) |
(* x 1/720) |
1/720 |
z |
(/ 1 y) |
y |
| Outputs |
|---|
(* (/ (/ 1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (/.f64 z y)) |
(/ (/ 1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) z) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))) |
(/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
z |
(+ 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 (*.f64 x x) #s(literal 1/24 binary64))))) |
(* x (* x (+ 1/2 (* (* x x) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* x (+ 1/2 (* (* x x) 1/24))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(+ 1/2 (* (* x x) 1/24)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) 1/24) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* x x) |
(*.f64 x x) |
1/24 |
#s(literal 1/24 binary64) |
y |
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
y |
(* x z) |
(*.f64 x z) |
x |
z |
(/ (* 1/24 (* y (* x (* x x)))) z) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) z) |
(* 1/24 (* y (* x (* x x)))) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) |
1/24 |
#s(literal 1/24 binary64) |
(* y (* x (* x x))) |
(*.f64 x (*.f64 (*.f64 x x) y)) |
y |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
z |
(/ (/ (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))) (/ x y)) z) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (/.f64 z y)) |
(/ (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))) (/ x y)) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) #s(literal 1/24 binary64)))) |
x |
(* x (+ 1/2 (* (* x x) 1/24))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(+ 1/2 (* (* x x) 1/24)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) 1/24) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* x x) |
(*.f64 x x) |
1/24 |
#s(literal 1/24 binary64) |
(/ x y) |
(/.f64 x y) |
y |
z |
(* (/ 1 x) (/ (/ (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))) z) (/ 1 y))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) 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 z y)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ (/ (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))) z) (/ 1 y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 z y)) |
(/ (+ 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 #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) |
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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))))))) |
(* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720)))))) |
(*.f64 (*.f64 x 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)))))) |
(* x x) |
(*.f64 x x) |
(+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))) |
(+.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))))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) (+ 1/24 (* x (* x 1/720)))) |
(*.f64 (*.f64 x 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)) |
(* x 1/720) |
(*.f64 x #s(literal 1/720 binary64)) |
1/720 |
#s(literal 1/720 binary64) |
z |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 x #s(literal 1/720 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z) |
| ✓ | accuracy | 97.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 92.5% | (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 93.9% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (/.f64 x y)) z) |
| ✓ | accuracy | 84.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (/.f64 x y)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 92.8% | (*.f64 y (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 92.0% | (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z) |
| ✓ | accuracy | 100.0% | (*.f64 x z) |
| ✓ | accuracy | 94.5% | (/.f64 y (*.f64 x z)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 96.7% | (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) |
| ✓ | accuracy | 93.9% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) y) |
| ✓ | accuracy | 93.7% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) |
| 236.0ms | 256× | 0 | valid |
Compiled 425 to 38 computations (91.1% saved)
ival-mult: 23.0ms (36.9% of total)ival-div: 22.0ms (35.3% of total)...c/correct-round.rkt:119:19: 10.0ms (16% of total)ival-add: 6.0ms (9.6% of total)const: 1.0ms (1.6% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ 1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))))> |
#<alt (* (/ (/ 1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))) y)> |
#<alt (/ 1 x)> |
#<alt (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))> |
#<alt (/ y (* x z))> |
#<alt (* x z)> |
#<alt (/ (* 1/24 (* y (* x (* x x)))) z)> |
#<alt (* 1/24 (* y (* x (* x x))))> |
#<alt (* y (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (/ (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))) (/ x y))> |
#<alt (/ (/ (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))) (/ x y)) z)> |
#<alt (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))> |
#<alt (* x (* x (+ 1/2 (* (* x x) 1/24))))> |
#<alt (* (/ 1 x) (/ (/ (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))) z) (/ 1 y)))> |
#<alt (/ (/ (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))) z) (/ 1 y))> |
#<alt (/ (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))) z)> |
#<alt (* (* x x) 1/24)> |
#<alt (* x (+ 1/2 (* (* x x) 1/24)))> |
#<alt (* x 1/720)> |
| Outputs |
|---|
#<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) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x)> |
#<alt (* 1/24 (/ (pow x 3) z))> |
#<alt (* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))))> |
#<alt (* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z)))))> |
#<alt (* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z)))))> |
#<alt (* 1/24 (/ (pow x 3) z))> |
#<alt (* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z)))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z)))))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z))> |
#<alt (/ (+ 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)))))) (* 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 (/ 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 (/ z (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow x 2) z)))> |
#<alt (+ z (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 z) (* 1/24 z)))) (* 1/2 z))))> |
#<alt (+ z (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 z) (* 1/24 z))) (* -1/48 z)))) (+ (* -1/4 z) (* 1/24 z)))) (* 1/2 z))))> |
#<alt (* 24 (/ z (pow x 4)))> |
#<alt (/ (+ (* -288 (/ z (pow x 2))) (* 24 z)) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -3456 z) (* 576 z)) (pow x 4))) (* 24 z)) (* 288 (/ z (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -6912 z) (* -12 (+ (* -3456 z) (* 576 z)))) (pow x 6))) (* 24 z)) (+ (* -3456 (/ z (pow x 4))) (+ (* 288 (/ z (pow x 2))) (* 576 (/ z (pow x 4)))))) (pow x 4))> |
#<alt (* 24 (/ z (pow x 4)))> |
#<alt (/ (+ (* -288 (/ z (pow x 2))) (* 24 z)) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -3456 z) (* 576 z)) (pow x 4))) (* 24 z)) (* 288 (/ z (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -6912 z) (* -12 (+ (* -3456 z) (* 576 z)))) (pow x 6))) (* 24 z)) (+ (* -3456 (/ z (pow x 4))) (+ (* 288 (/ z (pow x 2))) (* 576 (/ z (pow x 4)))))) (pow x 4))> |
#<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 (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (* (pow x 3) y)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<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) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))> |
#<alt (* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) 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) (+ (* 1/24 (/ (* (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 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 (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 (/ 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 (/ 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 (* 1/720 (/ (* (pow x 6) y) z))> |
#<alt (* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))> |
#<alt (* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z))))))> |
#<alt (* 1/720 (/ (* (pow x 6) y) z))> |
#<alt (* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))> |
#<alt (* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z))))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (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) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))> |
#<alt (* 1/720 (/ (pow x 6) z))> |
#<alt (* (pow x 6) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z)))))> |
#<alt (* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z)))))> |
#<alt (* (pow x 6) (+ (/ 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 6) z))> |
#<alt (* (pow x 6) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z)))))> |
#<alt (* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z)))))> |
#<alt (* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (* 1/720 (/ 1 z)) (+ (* 1/2 (/ 1 (* (pow x 4) z))) (/ 1 (* (pow x 6) z))))))> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z)> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (* x (* x x)) |
| 1.0ms | y | @ | 0 | (/ (* 1/24 (* y (* x (* x x)))) z) |
| 1.0ms | z | @ | 0 | (/ (* 1/24 (* y (* x (* x x)))) z) |
| 1.0ms | x | @ | 0 | (/ (* 1/24 (* y (* x (* x x)))) z) |
| 1.0ms | z | @ | inf | (/ (* 1/24 (* y (* x (* x x)))) z) |
| 1× | batch-egg-rewrite |
| 4098× | *-lowering-*.f32 |
| 4098× | *-lowering-*.f64 |
| 3676× | /-lowering-/.f32 |
| 3676× | /-lowering-/.f64 |
| 1710× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 212 |
| 1 | 244 | 183 |
| 2 | 2096 | 183 |
| 0 | 8456 | 183 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))) |
(* (/ (/ 1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))) y) |
(/ 1 x) |
(/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))) |
(/ y (* x z)) |
(* x z) |
(/ (* 1/24 (* y (* x (* x x)))) z) |
(* 1/24 (* y (* x (* x x)))) |
(* y (* x (* x x))) |
(* x (* x x)) |
(/ (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))) (/ x y)) |
(/ (/ (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))) (/ x y)) z) |
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))) |
(* x (* x (+ 1/2 (* (* x x) 1/24)))) |
(* (/ 1 x) (/ (/ (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))) z) (/ 1 y))) |
(/ (/ (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))) z) (/ 1 y)) |
(/ (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))) z) |
(* (* x x) 1/24) |
(* x (+ 1/2 (* (* x x) 1/24))) |
(* x 1/720) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) z))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) z))) |
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 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 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) |
(/.f64 #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 (*.f64 x x) #s(literal 1/24 binary64)))))))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) |
(*.f64 x #s(literal 1/720 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
| 1× | egg-herbie |
| 5358× | *-lowering-*.f32 |
| 5358× | *-lowering-*.f64 |
| 3794× | +-lowering-+.f64 |
| 3794× | +-lowering-+.f32 |
| 1656× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 6009 |
| 1 | 955 | 5114 |
| 2 | 3518 | 4965 |
| 0 | 8506 | 4965 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(* 1/24 (/ (pow x 3) z)) |
(* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* 1/24 (/ (pow x 3) z)) |
(* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (+ 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)))))) (* 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)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 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 |
(+ z (* -1/2 (* (pow x 2) z))) |
(+ z (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 z) (* 1/24 z)))) (* 1/2 z)))) |
(+ z (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 z) (* 1/24 z))) (* -1/48 z)))) (+ (* -1/4 z) (* 1/24 z)))) (* 1/2 z)))) |
(* 24 (/ z (pow x 4))) |
(/ (+ (* -288 (/ z (pow x 2))) (* 24 z)) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -3456 z) (* 576 z)) (pow x 4))) (* 24 z)) (* 288 (/ z (pow x 2)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -6912 z) (* -12 (+ (* -3456 z) (* 576 z)))) (pow x 6))) (* 24 z)) (+ (* -3456 (/ z (pow x 4))) (+ (* 288 (/ z (pow x 2))) (* 576 (/ z (pow x 4)))))) (pow x 4)) |
(* 24 (/ z (pow x 4))) |
(/ (+ (* -288 (/ z (pow x 2))) (* 24 z)) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -3456 z) (* 576 z)) (pow x 4))) (* 24 z)) (* 288 (/ z (pow x 2)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -6912 z) (* -12 (+ (* -3456 z) (* 576 z)))) (pow x 6))) (* 24 z)) (+ (* -3456 (/ z (pow x 4))) (+ (* 288 (/ z (pow x 2))) (* 576 (/ z (pow x 4)))))) (pow x 4)) |
(/ 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) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/24 (* (pow x 3) y)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ y (* 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)) |
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 (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))))) |
(/ 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)) |
(/ 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)) |
(* 1/720 (/ (* (pow x 6) y) z)) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(* 1/720 (/ (* (pow x 6) y) z)) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ 1 z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(* 1/720 (/ (pow x 6) z)) |
(* (pow x 6) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z))))) |
(* (pow x 6) (+ (/ 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 6) z)) |
(* (pow x 6) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z))))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (* 1/720 (/ 1 z)) (+ (* 1/2 (/ 1 (* (pow x 4) z))) (/ 1 (* (pow x 6) z)))))) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
| Outputs |
|---|
(/ 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 (*.f64 x x) #s(literal 1/24 binary64))))) 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) |
(* 1/24 (/ (pow x 3) z)) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) |
(* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 #s(literal 1/24 binary64) z) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x z)))))) |
(* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x z))) (+.f64 (/.f64 #s(literal 1/24 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x z))) (+.f64 (/.f64 #s(literal 1/24 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(* 1/24 (/ (pow x 3) z)) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) |
(* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 #s(literal 1/24 binary64) z) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x z)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x z)))) (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) z))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x z)))) (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) z))) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (*.f64 x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (*.f64 x z)) |
(/ 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 #s(literal 1/2 binary64) (*.f64 x x))) (/.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 (*.f64 (*.f64 x x) y) z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) 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 (*.f64 (*.f64 x x) y) z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) x) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 x x) y) z))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (/.f64 y z) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (/.f64 y z) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 x x) y) z))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (/.f64 y z) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (/.f64 y z) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) y) (*.f64 x z)) |
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(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
Compiled 47095 to 3085 computations (93.4% saved)
42 alts after pruning (38 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1637 | 19 | 1656 |
| Fresh | 5 | 19 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1645 | 42 | 1687 |
| Status | Accuracy | Program |
|---|---|---|
| 16.0% | (/.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))) z) | |
| 56.4% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (/.f64 x y)) z) | |
| 81.1% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) z) (/.f64 x y)) | |
| 80.3% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 x y)) z) | |
| 81.5% | (/.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 x y)) | |
| 80.3% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))) (/.f64 x y)) z) | |
| 54.4% | (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) (*.f64 x z)) | |
| 33.3% | (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 x y)) z) | |
| 90.1% | (/.f64 (/.f64 y (/.f64 z (+.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)))))))))) x) | |
| 77.6% | (/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) | |
| ▶ | 55.4% | (/.f64 (/.f64 y z) x) |
| ✓ | 54.8% | (/.f64 (/.f64 y x) z) |
| 55.2% | (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) | |
| 84.0% | (/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (*.f64 (/.f64 (*.f64 (*.f64 x x) y) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) | |
| 80.8% | (/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) x) | |
| ▶ | 78.1% | (/.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) |
| 66.1% | (/.f64 (+.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) z) | |
| ▶ | 77.9% | (/.f64 (+.f64 #s(literal -1 binary64) (neg.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 #s(literal 0 binary64) x) (/.f64 z y))) |
| 81.9% | (/.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) z) | |
| 54.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) | |
| ✓ | 81.1% | (/.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) |
| 34.1% | (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y x)) z) | |
| 59.2% | (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x z)) | |
| 83.4% | (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) x)))))) (*.f64 x z)) | |
| 83.4% | (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x z)) | |
| 21.6% | (/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) | |
| ▶ | 37.3% | (/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) z) |
| 36.6% | (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x y) x) x)) z) | |
| 37.3% | (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) (*.f64 x x))) z) | |
| 80.4% | (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) | |
| ✓ | 56.0% | (/.f64 y (*.f64 x z)) |
| 44.4% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z #s(literal 24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) y) | |
| 58.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) y) | |
| 55.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) | |
| 66.9% | (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) z) y) | |
| 81.9% | (*.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)) | |
| 41.1% | (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y) | |
| ▶ | 93.2% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (+.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))))))))))) |
| ✓ | 90.0% | (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z) (/.f64 #s(literal 1 binary64) y))) |
| 50.5% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 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 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 #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))))))))))) | |
| 48.3% | (*.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) | |
| 39.2% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
Compiled 2142 to 1147 computations (46.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.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 #s(literal -1 binary64) (neg.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))))))))) |
| ✓ | cost-diff | 64 | (neg.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)))))))) |
| ✓ | cost-diff | 256 | (/.f64 (+.f64 #s(literal -1 binary64) (neg.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 #s(literal 0 binary64) x) (/.f64 z y))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 0 | (/.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) |
| ✓ | cost-diff | 128 | (+.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)))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) z) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 y z) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (+.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 | 256 | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (+.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)))))))))) |
| 2848× | *-lowering-*.f32 |
| 2848× | *-lowering-*.f64 |
| 2140× | sum3-define |
| 2026× | fma-lowering-fma.f32 |
| 2026× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 417 |
| 1 | 124 | 371 |
| 2 | 486 | 361 |
| 3 | 1856 | 353 |
| 4 | 6468 | 353 |
| 0 | 8468 | 353 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (/ -1 y)) (/ (/ -1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))))) |
(/ 1 (/ -1 y)) |
1 |
(/ -1 y) |
-1 |
y |
(/ (/ -1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))))) |
(/ -1 x) |
x |
(/ z (+ 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))))))) |
(* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))) |
(* 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 |
(/ (/ y z) x) |
(/ y z) |
y |
z |
x |
(/ (* x (* 1/24 (* (* x x) y))) z) |
(* x (* 1/24 (* (* x x) y))) |
x |
(* 1/24 (* (* x x) y)) |
1/24 |
(* (* x x) y) |
(* x x) |
y |
z |
(/ (+ (/ y z) (* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24))))) x) |
(+ (/ y z) (* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24))))) |
(/ y z) |
y |
z |
(* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24)))) |
(* x x) |
x |
(* (/ y z) (+ 1/2 (* (* x x) 1/24))) |
(+ 1/2 (* (* x x) 1/24)) |
1/2 |
(* (* x x) 1/24) |
1/24 |
(/ (+ -1 (neg (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))) (* (- 0 x) (/ z y))) |
(+ -1 (neg (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))) |
-1 |
(neg (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) |
(* 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 |
(* (- 0 x) (/ z y)) |
(- 0 x) |
0 |
(/ z y) |
z |
y |
| Outputs |
|---|
(* (/ 1 (/ -1 y)) (/ (/ -1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) 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 z y)) |
(/ 1 (/ -1 y)) |
(-.f64 #s(literal 0 binary64) y) |
1 |
#s(literal 1 binary64) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
-1 |
#s(literal -1 binary64) |
y |
(/ (/ -1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))))) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) 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) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
x |
(/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))) |
(/.f64 z (+.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 |
(+ 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 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))) |
(*.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))))))) |
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))) |
(*.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)))))) |
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))) |
(+.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))))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) (+ 1/24 (* (* x x) 1/720))) |
(*.f64 (*.f64 x 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) |
(/ (/ y z) x) |
(/.f64 y (*.f64 x z)) |
(/ y z) |
(/.f64 y z) |
y |
z |
x |
(/ (* x (* 1/24 (* (* x x) y))) z) |
(/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) |
(* x (* 1/24 (* (* x x) y))) |
(*.f64 x (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
x |
(* 1/24 (* (* x x) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
1/24 |
#s(literal 1/24 binary64) |
(* (* x x) y) |
(*.f64 y (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
y |
z |
(/ (+ (/ y z) (* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24))))) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (/.f64 y (*.f64 x z))) |
(+ (/ y z) (* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) y) z) |
(/ y z) |
(/.f64 y z) |
y |
z |
(* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24)))) |
(/.f64 (*.f64 x (*.f64 y (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) z) |
(* x x) |
(*.f64 x x) |
x |
(* (/ y z) (+ 1/2 (* (* x x) 1/24))) |
(/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) |
(+ 1/2 (* (* x x) 1/24)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) 1/24) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(/ (+ -1 (neg (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))) (* (- 0 x) (/ z y))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) 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 z y)) |
(+ -1 (neg (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x 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))))))) |
-1 |
#s(literal -1 binary64) |
(neg (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) |
(*.f64 (*.f64 x 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)))))) |
(* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))) |
(*.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))))))) |
x |
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))) |
(*.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)))))) |
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))) |
(+.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))))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) (+ 1/24 (* (* x x) 1/720))) |
(*.f64 (*.f64 x 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) |
(* (- 0 x) (/ z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y)) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
(/ z y) |
(/.f64 z y) |
z |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
| ✓ | accuracy | 91.6% | (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z y)) |
| ✓ | accuracy | 87.0% | (/.f64 (+.f64 #s(literal -1 binary64) (neg.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 #s(literal 0 binary64) x) (/.f64 z y))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 92.1% | (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
| ✓ | accuracy | 90.5% | (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
| ✓ | accuracy | 89.7% | (/.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) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y)) |
| ✓ | accuracy | 92.0% | (/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) z) |
| ✓ | accuracy | 87.9% | (*.f64 (*.f64 x x) y) |
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 90.7% | (/.f64 (/.f64 y z) x) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 z (+.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))))))))) |
| ✓ | accuracy | 98.4% | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (+.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)))))))))) |
| ✓ | accuracy | 94.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (+.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))))))))))) |
| 186.0ms | 256× | 0 | valid |
Compiled 487 to 42 computations (91.4% saved)
ival-div: 21.0ms (34.5% of total)ival-mult: 21.0ms (34.5% of total)...c/correct-round.rkt:119:19: 8.0ms (13.1% of total)ival-add: 7.0ms (11.5% of total)ival-sub: 1.0ms (1.6% of total)const: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ -1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))))> |
#<alt (* (/ 1 (/ -1 y)) (/ (/ -1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))))))> |
#<alt (/ 1 (/ -1 y))> |
#<alt (/ -1 y)> |
#<alt (/ (/ y z) x)> |
#<alt (/ y z)> |
#<alt (/ (* x (* 1/24 (* (* x x) y))) z)> |
#<alt (* x (* 1/24 (* (* x x) y)))> |
#<alt (* 1/24 (* (* x x) y))> |
#<alt (* (* x x) y)> |
#<alt (+ (/ y z) (* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24)))))> |
#<alt (/ (+ (/ y z) (* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24))))) x)> |
#<alt (* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24))))> |
#<alt (/ (+ -1 (neg (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))) (* (- 0 x) (/ z y)))> |
#<alt (neg (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))> |
#<alt (+ -1 (neg (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))))> |
#<alt (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))> |
#<alt (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))))> |
#<alt (* (* x x) 1/720)> |
#<alt (* (/ y z) (+ 1/2 (* (* x x) 1/24)))> |
#<alt (* (* x x) 1/24)> |
#<alt (* (- 0 x) (/ z y))> |
#<alt (* (* x x) (+ 1/24 (* (* x x) 1/720)))> |
| Outputs |
|---|
#<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 (* -1 (* (pow x 5) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))))> |
#<alt (* (pow x 5) (- (* -1 (/ (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))) (pow x 2))) (* 1/720 (/ 1 z))))> |
#<alt (* (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 (* -1/720 (/ (pow x 5) z))> |
#<alt (* -1 (* (pow x 5) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))))> |
#<alt (* -1 (* (pow x 5) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z))))))> |
#<alt (* -1 (* (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 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)))> |
#<alt (* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)))> |
#<alt (* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)))> |
#<alt (* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)))> |
#<alt (* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)))> |
#<alt (* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)))> |
#<alt (* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)))> |
#<alt (* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)))> |
#<alt (* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)))> |
#<alt (* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)))> |
#<alt (* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)))> |
#<alt (* -1 (/ (+ 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 (* 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 (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<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 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)> |
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#<alt (* -1/720 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* -1/720 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))> |
#<alt (* (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))))))> |
#<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))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow x 2) z)))> |
#<alt (+ z (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 z) (* 1/24 z)))) (* 1/2 z))))> |
#<alt (+ z (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 z) (* 1/24 z))) (+ (* -1/48 z) (* 1/720 z))))) (+ (* -1/4 z) (* 1/24 z)))) (* 1/2 z))))> |
#<alt (* 720 (/ z (pow x 6)))> |
#<alt (/ (+ (* -21600 (/ z (pow x 2))) (* 720 z)) (pow x 6))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -648000 z) (* 259200 z)) (pow x 4))) (* 720 z)) (* 21600 (/ z (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -7776000 z) (+ (* -30 (+ (* -648000 z) (* 259200 z))) (* 518400 z))) (pow x 6))) (* 720 z)) (+ (* -648000 (/ z (pow x 4))) (+ (* 21600 (/ z (pow x 2))) (* 259200 (/ z (pow x 4)))))) (pow x 6))> |
#<alt (* 720 (/ z (pow x 6)))> |
#<alt (/ (+ (* -21600 (/ z (pow x 2))) (* 720 z)) (pow x 6))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -648000 z) (* 259200 z)) (pow x 4))) (* 720 z)) (* 21600 (/ z (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -7776000 z) (+ (* -30 (+ (* -648000 z) (* 259200 z))) (* 518400 z))) (pow x 6))) (* 720 z)) (+ (* -648000 (/ z (pow x 4))) (+ (* 21600 (/ z (pow x 2))) (* 259200 (/ z (pow x 4)))))) (pow x 6))> |
#<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 (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z)> |
#<alt (* 1/2 (/ y z))> |
#<alt (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))> |
#<alt (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))> |
#<alt (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))> |
#<alt (* 1/24 (/ (* (pow x 2) y) z))> |
#<alt (* (pow x 2) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 2) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 2) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* 1/24 (/ (* (pow x 2) y) z))> |
#<alt (* (pow x 2) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 2) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 2) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | z | @ | 0 | (* (- 0 x) (/ z y)) |
| 9.0ms | x | @ | inf | (* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24)))) |
| 1.0ms | y | @ | 0 | (+ (/ y z) (* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24))))) |
| 1.0ms | x | @ | 0 | (/ (/ -1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))))) |
| 1.0ms | z | @ | 0 | (+ (/ y z) (* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24))))) |
| 1× | batch-egg-rewrite |
| 3594× | *-lowering-*.f32 |
| 3594× | *-lowering-*.f64 |
| 2596× | fma-lowering-fma.f32 |
| 2596× | fma-lowering-fma.f64 |
| 2042× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 261 |
| 1 | 278 | 229 |
| 2 | 2792 | 227 |
| 0 | 8517 | 227 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ -1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))))) |
(* (/ 1 (/ -1 y)) (/ (/ -1 x) (/ z (+ 1 (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))))) |
(/ 1 (/ -1 y)) |
(/ -1 y) |
(/ (/ y z) x) |
(/ y z) |
(/ (* x (* 1/24 (* (* x x) y))) z) |
(* x (* 1/24 (* (* x x) y))) |
(* 1/24 (* (* x x) y)) |
(* (* x x) y) |
(+ (/ y z) (* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24))))) |
(/ (+ (/ y z) (* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24))))) x) |
(* (* x x) (* (/ y z) (+ 1/2 (* (* x x) 1/24)))) |
(/ (+ -1 (neg (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))) (* (- 0 x) (/ z y))) |
(neg (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) |
(+ -1 (neg (* x (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))) |
(* 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)))))))) |
(* (* x x) 1/720) |
(* (/ y z) (+ 1/2 (* (* x x) 1/24))) |
(* (* x x) 1/24) |
(* (- 0 x) (/ z y)) |
(* (* x x) (+ 1/24 (* (* x x) 1/720))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x z))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (/.f64 #s(literal -1 binary64) (*.f64 x z)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (/.f64 #s(literal -1 binary64) (*.f64 x z))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (/.f64 #s(literal -1 binary64) (*.f64 x z)))) |
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x z)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))) |
(/.f64 #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 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 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 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z) (-.f64 #s(literal 0 binary64) x)) |
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(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) |
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(/.f64 (*.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) x) |
| 1× | egg-herbie |
| 4912× | *-lowering-*.f32 |
| 4912× | *-lowering-*.f64 |
| 4148× | +-lowering-+.f64 |
| 4148× | +-lowering-+.f32 |
| 1206× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 7000 |
| 1 | 1024 | 5985 |
| 2 | 3687 | 5780 |
| 0 | 8188 | 5780 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 (* x z)) |
(/ (- (* -1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (- (* (pow x 2) (- (* -1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(* -1/720 (/ (pow x 5) z)) |
(* -1 (* (pow x 5) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z)))))) |
(* (pow x 5) (- (* -1 (/ (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))) (pow x 2))) (* 1/720 (/ 1 z)))) |
(* (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))))) |
(* -1/720 (/ (pow x 5) z)) |
(* -1 (* (pow x 5) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z)))))) |
(* -1 (* (pow x 5) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z)))))) |
(* -1 (* (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 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))) |
(* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))) |
(* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))) |
(* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))) |
(* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))) |
(* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))) |
(* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))) |
(* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))) |
(* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))) |
(* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))) |
(* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))) |
(* -1 (/ (+ 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 (* 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)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y 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) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* 1/24 (* (pow x 2) y)) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) |
(* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) |
(* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) |
(* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) |
(* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) |
(* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) |
(* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) |
(* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) |
(* -1 (* y (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z)) (/ 1 z)))) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(* -1 (/ (+ (* -1 y) (* -1 (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (* (pow x 2) (* y (+ 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 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) x) |
(/ (* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) x) |
(/ (* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) x) |
(/ (* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) x) |
(/ (* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) x) |
(/ (* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) x) |
(/ (* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) x) |
(/ (* y (+ (/ 1 z) (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z))) x) |
(* -1 (/ (* y (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z)) (/ 1 z))) x)) |
(* -1 (/ (* y (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z)) (/ 1 z))) x)) |
(* -1 (/ (* y (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z)) (/ 1 z))) x)) |
(* -1 (/ (* y (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) z)) (/ 1 z))) x)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(* -1 (/ (+ (* -1 y) (* -1 (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))))) (* x z))) |
(* -1 (/ (+ (* -1 y) (* -1 (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))))) (* x z))) |
(* -1 (/ (+ (* -1 y) (* -1 (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))))) (* x z))) |
(* -1 (/ (+ (* -1 y) (* -1 (* (pow x 2) (* y (+ 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)))))) |
(* 1/2 (/ (* (pow x 2) y) z)) |
(* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) |
(* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) |
(* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ 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))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) 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))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* 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)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* -1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (- (* -1/720 (pow x 2)) 1/24)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (- (* -1/720 (pow x 2)) 1/24)) 1/2)) |
(* -1/720 (pow x 6)) |
(* -1 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)) |
(* (pow x 6) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)) |
(* -1/720 (pow x 6)) |
(* -1 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)) |
(* (pow x 6) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)) |
-1 |
(- (* -1/2 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -1/24 (pow x 2)) 1/2)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (pow x 2)) 1/24)) 1/2)) 1) |
(* -1/720 (pow x 6)) |
(* -1 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)) |
(* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1/720 (pow x 6)) |
(* -1 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)) |
(* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* (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)))))) |
(* 1/720 (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)))))) |
(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
z |
(+ z (* -1/2 (* (pow x 2) z))) |
(+ z (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 z) (* 1/24 z)))) (* 1/2 z)))) |
(+ z (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 z) (* 1/24 z))) (+ (* -1/48 z) (* 1/720 z))))) (+ (* -1/4 z) (* 1/24 z)))) (* 1/2 z)))) |
(* 720 (/ z (pow x 6))) |
(/ (+ (* -21600 (/ z (pow x 2))) (* 720 z)) (pow x 6)) |
(/ (- (+ (* -1 (/ (+ (* -648000 z) (* 259200 z)) (pow x 4))) (* 720 z)) (* 21600 (/ z (pow x 2)))) (pow x 6)) |
(/ (- (+ (* -1 (/ (+ (* -7776000 z) (+ (* -30 (+ (* -648000 z) (* 259200 z))) (* 518400 z))) (pow x 6))) (* 720 z)) (+ (* -648000 (/ z (pow x 4))) (+ (* 21600 (/ z (pow x 2))) (* 259200 (/ z (pow x 4)))))) (pow x 6)) |
(* 720 (/ z (pow x 6))) |
(/ (+ (* -21600 (/ z (pow x 2))) (* 720 z)) (pow x 6)) |
(/ (- (+ (* -1 (/ (+ (* -648000 z) (* 259200 z)) (pow x 4))) (* 720 z)) (* 21600 (/ z (pow x 2)))) (pow x 6)) |
(/ (- (+ (* -1 (/ (+ (* -7776000 z) (+ (* -30 (+ (* -648000 z) (* 259200 z))) (* 518400 z))) (pow x 6))) (* 720 z)) (+ (* -648000 (/ z (pow x 4))) (+ (* 21600 (/ z (pow x 2))) (* 259200 (/ z (pow x 4)))))) (pow x 6)) |
(* 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)) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/ (* y (+ 1/2 (* 1/24 (pow x 2)))) z) |
(* 1/2 (/ y z)) |
(+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z))) |
(+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z))) |
(+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z))) |
(* 1/24 (/ (* (pow x 2) y) z)) |
(* (pow x 2) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 2) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 2) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* 1/24 (/ (* (pow x 2) y) z)) |
(* (pow x 2) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 2) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 2) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 x z)) |
(/ (- (* -1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) z) (/.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 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) z) (/.f64 #s(literal -1/2 binary64) z))) (/.f64 #s(literal -1 binary64) z)) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (/.f64 (*.f64 x x) z) #s(literal -1/720 binary64)) (/.f64 #s(literal -1/24 binary64) z))) (/.f64 #s(literal -1/2 binary64) z))) (/.f64 #s(literal -1 binary64) z)) x) |
(* -1/720 (/ (pow x 5) z)) |
(/.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 5 binary64))) z) |
(* -1 (* (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 (/ (+ (* 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)))) |
(* (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 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1/720 binary64) z) (/.f64 #s(literal -1/24 binary64) (*.f64 z (*.f64 x x)))))) |
(* -1/720 (/ (pow x 5) z)) |
(/.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 5 binary64))) z) |
(* -1 (* (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) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) z) (/.f64 #s(literal 1/24 binary64) (*.f64 z (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (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 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 z (*.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/720 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 x #s(literal 6 binary64))))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))) |
(-.f64 #s(literal 0 binary64) (/.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)))))))) (*.f64 x z))) |
(* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))) |
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(* -1 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))) |
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(* -1 (/ (* x z) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y)) |
(* -1 (/ (* x z) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y)) |
(* -1 (/ (* x z) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y)) |
(* -1 (/ (* x z) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y)) |
(* -1 (/ (* x z) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y)) |
(* -1 (/ (* x z) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y)) |
(* -1 (/ (* x z) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y)) |
(* -1 (/ (* x z) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y)) |
(* -1 (/ (* x z) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y)) |
(* -1 (/ (* x z) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(* 1/720 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* 1/720 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
Compiled 44640 to 3364 computations (92.5% saved)
45 alts after pruning (38 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1576 | 8 | 1584 |
| Fresh | 3 | 30 | 33 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1581 | 45 | 1626 |
| Status | Accuracy | Program |
|---|---|---|
| 16.0% | (/.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))) z) | |
| 56.4% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (/.f64 x y)) z) | |
| 81.1% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) z) (/.f64 x y)) | |
| 80.3% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 x y)) z) | |
| 81.5% | (/.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 x y)) | |
| 80.3% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))) (/.f64 x y)) z) | |
| 54.4% | (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) (*.f64 x z)) | |
| 33.3% | (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 x y)) z) | |
| 90.1% | (/.f64 (/.f64 y (/.f64 z (+.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)))))))))) x) | |
| ✓ | 55.4% | (/.f64 (/.f64 y z) x) |
| ✓ | 54.8% | (/.f64 (/.f64 y x) z) |
| 55.2% | (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) | |
| 41.4% | (/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z y)) (/.f64 #s(literal 1/2 binary64) (/.f64 z y))) (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) z) (/.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) z))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 z y))))) x) | |
| 84.0% | (/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (*.f64 (/.f64 (*.f64 (*.f64 x x) y) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) | |
| 80.8% | (/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) x) | |
| ✓ | 78.1% | (/.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) |
| 66.1% | (/.f64 (+.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) z) | |
| 47.9% | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z y))) | |
| 54.5% | (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))))))))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z y))) | |
| 78.4% | (/.f64 (+.f64 #s(literal -1 binary64) (neg.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 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 x z))))) | |
| 81.9% | (/.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) z) | |
| 54.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) | |
| ✓ | 81.1% | (/.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) |
| 34.1% | (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y x)) z) | |
| 59.2% | (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x z)) | |
| 83.4% | (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) x)))))) (*.f64 x z)) | |
| 83.4% | (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x z)) | |
| 21.6% | (/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) | |
| 36.6% | (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x y) #s(literal 1/24 binary64)))) z) | |
| ✓ | 37.3% | (/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) z) |
| 37.3% | (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) (*.f64 x x))) z) | |
| 80.4% | (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) | |
| ✓ | 56.0% | (/.f64 y (*.f64 x z)) |
| 54.3% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) | |
| 44.4% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z #s(literal 24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) y) | |
| 58.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) y) | |
| 55.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) | |
| 66.9% | (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) z) y) | |
| 81.9% | (*.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)) | |
| 41.1% | (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y) | |
| 37.3% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) | |
| ✓ | 90.0% | (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z) (/.f64 #s(literal 1 binary64) y))) |
| 50.5% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 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 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 #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))))))))))) | |
| 36.6% | (*.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x z)) | |
| 39.2% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
Compiled 2766 to 998 computations (63.9% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(*.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) z) y) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) (*.f64 x x))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x y) x) x)) z) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) z) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x y) #s(literal 1/24 binary64)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (+.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.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 y z) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) y) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 x y)) z) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z #s(literal 24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) y) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) x) (/.f64 y z)) |
(/.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 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))) (/.f64 x y)) z) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (/.f64 x y)) z) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) y) |
(/.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) |
(/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 x y)) z) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(*.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 y (+.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 x (*.f64 x #s(literal 1/720 binary64)))))))))) (*.f64 x z)) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) x)))))) (*.f64 x z)) |
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z)) x) |
(/.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 x (*.f64 x #s(literal 1/720 binary64))))))))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) z) |
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) y) (*.f64 x z)) |
(/.f64 (/.f64 y (/.f64 z (+.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)))))))))) x) |
(/.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 x y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.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 #s(literal 0 binary64) x) (/.f64 z y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.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 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 x z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (+.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 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) x) |
(/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (*.f64 (/.f64 (*.f64 (*.f64 x x) y) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z y))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (/.f64 x y)) z) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) y) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))))))))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z y))) |
(/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z y)) (/.f64 #s(literal 1/2 binary64) (/.f64 z y))) (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) z) (/.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) z))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 z y))))) x) |
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 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 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 #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 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) (*.f64 x z)) |
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 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 #s(literal 1 binary64) x) (/.f64 z (cosh.f64 x))) y) |
| Outputs |
|---|
(/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) |
5 calls:
| 49.0ms | y |
| 36.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 20.0ms | x |
| 20.0ms | z |
| 18.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 1 | x |
| 96.5% | 1 | y |
| 99.5% | 2 | z |
| 99.5% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 99.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(*.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) z) y) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) (*.f64 x x))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x y) x) x)) z) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) z) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x y) #s(literal 1/24 binary64)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (+.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.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 y z) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) y) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 x y)) z) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z #s(literal 24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) y) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) x) (/.f64 y z)) |
(/.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 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))) (/.f64 x y)) z) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (/.f64 x y)) z) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) y) |
(/.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) |
(/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 x y)) z) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(*.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 y (+.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 x (*.f64 x #s(literal 1/720 binary64)))))))))) (*.f64 x z)) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) x)))))) (*.f64 x z)) |
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z)) x) |
(/.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 x (*.f64 x #s(literal 1/720 binary64))))))))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) z) |
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) y) (*.f64 x z)) |
(/.f64 (/.f64 y (/.f64 z (+.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)))))))))) x) |
(/.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 x y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.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 #s(literal 0 binary64) x) (/.f64 z y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.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 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 x z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (+.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 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) x) |
(/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (*.f64 (/.f64 (*.f64 (*.f64 x x) y) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z y))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (/.f64 x y)) z) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) y) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))))))))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z y))) |
(/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z y)) (/.f64 #s(literal 1/2 binary64) (/.f64 z y))) (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) z) (/.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) z))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 z y))))) x) |
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 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 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 #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 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) (*.f64 x z)) |
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) |
| Outputs |
|---|
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (+.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))))))))))) |
5 calls:
| 20.0ms | y |
| 19.0ms | z |
| 19.0ms | x |
| 18.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 18.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 3 | x |
| 95.6% | 2 | y |
| 96.4% | 2 | z |
| 96.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 96.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
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 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(*.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) z) y) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) (*.f64 x x))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x y) x) x)) z) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) z) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x y) #s(literal 1/24 binary64)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (+.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.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 y z) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) y) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 x y)) z) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z #s(literal 24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) y) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) x) (/.f64 y z)) |
(/.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 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))) (/.f64 x y)) z) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (/.f64 x y)) z) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) y) |
(/.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) |
(/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 x y)) z) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(*.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 y (+.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 x (*.f64 x #s(literal 1/720 binary64)))))))))) (*.f64 x z)) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) x)))))) (*.f64 x z)) |
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z)) x) |
(/.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 x (*.f64 x #s(literal 1/720 binary64))))))))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) z) |
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) y) (*.f64 x z)) |
(/.f64 (/.f64 y (/.f64 z (+.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)))))))))) x) |
(/.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 x y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.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 #s(literal 0 binary64) x) (/.f64 z y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.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 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 x z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (+.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 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) x) |
(/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (*.f64 (/.f64 (*.f64 (*.f64 x x) y) z) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z y))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (/.f64 x y)) z) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) y) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))))))))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z y))) |
(/.f64 (+.f64 (/.f64 y z) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z y)) (/.f64 #s(literal 1/2 binary64) (/.f64 z y))) (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) z) (/.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) z))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 z y))))) x) |
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 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 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 #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 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) (*.f64 x z)) |
| Outputs |
|---|
(/.f64 (/.f64 y (/.f64 z (+.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)))))))))) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) y) |
1 calls:
| 19.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 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 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(*.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) z) y) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) (*.f64 x x))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x y) x) x)) z) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) z) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x y) #s(literal 1/24 binary64)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (+.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.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 y z) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) y) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 x y)) z) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z #s(literal 24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) y) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) x) (/.f64 y z)) |
(/.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 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))) (/.f64 x y)) z) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (/.f64 x y)) z) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) y) |
(/.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) |
(/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 x y)) z) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(*.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 y (+.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 x (*.f64 x #s(literal 1/720 binary64)))))))))) (*.f64 x z)) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) x)))))) (*.f64 x z)) |
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z)) x) |
(/.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 x (*.f64 x #s(literal 1/720 binary64))))))))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) z) |
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) y) (*.f64 x z)) |
| Outputs |
|---|
(/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z)) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) y) |
1 calls:
| 15.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 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 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(*.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) z) y) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) (*.f64 x x))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x y) x) x)) z) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) z) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x y) #s(literal 1/24 binary64)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (+.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.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 y z) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) y) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 x y)) z) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z #s(literal 24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) y) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) x) (/.f64 y z)) |
(/.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 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))) (/.f64 x y)) z) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (/.f64 x y)) z) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) y) |
(/.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) |
(/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 x y)) z) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x z)) |
(*.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 y (+.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 x (*.f64 x #s(literal 1/720 binary64)))))))))) (*.f64 x z)) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) x)))))) (*.f64 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 (*.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:
| 22.0ms | x |
| 12.0ms | z |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 2 | y |
| 92.8% | 1 | x |
| 94.6% | 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 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(*.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) z) y) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) (*.f64 x x))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x y) x) x)) z) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) z) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x y) #s(literal 1/24 binary64)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (+.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.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 y z) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) y) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 x y)) z) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z #s(literal 24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) y) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) x) (/.f64 y z)) |
(/.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 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) x) (/.f64 y z)) |
2 calls:
| 11.0ms | y |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 1 | z |
| 94.6% | 2 | y |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(*.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) z) y) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) (*.f64 x x))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x y) x) x)) z) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) z) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x y) #s(literal 1/24 binary64)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (+.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.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 y z) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) y) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 x y)) z) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z #s(literal 24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) y) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) x) (/.f64 y z)) |
(/.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 y (*.f64 x z)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z #s(literal 24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) y) |
2 calls:
| 12.0ms | y |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 2 | x |
| 89.3% | 2 | y |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(*.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) z) y) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) (*.f64 x x))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x y) x) x)) z) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) z) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x y) #s(literal 1/24 binary64)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (+.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.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 y z) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) y) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 x y)) z) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
| Outputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y x)) z) |
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y) |
2 calls:
| 12.0ms | x |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 2 | z |
| 91.8% | 3 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(*.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) z) y) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) (*.f64 x x))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x y) x) x)) z) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) z) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x y) #s(literal 1/24 binary64)))) z) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) z) |
(/.f64 (+.f64 (/.f64 y x) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.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 y z) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) y) |
| Outputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y) |
1 calls:
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 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 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(*.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x z)) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x z)) |
2 calls:
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.6% | 3 | y |
| 85.1% | 2 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
| Outputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
2 calls:
| 3.0ms | x |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 2 | z |
| 67.0% | 2 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) |
| Outputs |
|---|
(/.f64 (/.f64 y z) x) |
(/.f64 y (*.f64 x z)) |
3 calls:
| 4.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 2 | z |
| 61.5% | 2 | y |
| 58.9% | 2 | x |
Compiled 12 to 9 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)) |
3 calls:
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 1 | x |
| 58.5% | 2 | y |
| 58.6% | 2 | z |
Compiled 12 to 9 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:
| 2.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 1 | x |
| 56.0% | 1 | y |
| 56.0% | 1 | z |
Compiled 12 to 9 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.167592679994855e-48 | 9.916375902453275e-48 |
Compiled 17 to 12 computations (29.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.1592737964714502e-29 | 4.969542105303233e-24 |
| 10.0ms | 144× | 0 | valid |
Compiled 440 to 291 computations (33.9% saved)
ival-div: 2.0ms (40.4% of total)ival-cosh: 2.0ms (40.4% of total)ival-mult: 1.0ms (20.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.1442454196791106e+58 | 1.425489513836294e+63 |
| 12.0ms | 144× | 0 | valid |
Compiled 503 to 336 computations (33.2% saved)
ival-cosh: 3.0ms (47.1% of total)ival-div: 2.0ms (31.4% of total)ival-mult: 1.0ms (15.7% 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 | 1.1442454196791106e+58 | 1.425489513836294e+63 |
| 13.0ms | 144× | 0 | valid |
Compiled 503 to 336 computations (33.2% saved)
ival-div: 5.0ms (64.1% of total)ival-cosh: 2.0ms (25.6% of total)ival-mult: 1.0ms (12.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.1463255474640429e-35 | 1.3872015799025177e-35 |
| 2.0ms | 32× | 0 | valid |
Compiled 109 to 76 computations (30.3% 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× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 212414514.92383352 | 17514049993.88984 |
| 7.0ms | 80× | 0 | valid |
Compiled 247 to 172 computations (30.4% saved)
ival-div: 1.0ms (36% of total)ival-cosh: 1.0ms (36% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.9266172265745125 | 918.5605801665463 |
| 10.0ms | 128× | 0 | valid |
Compiled 257 to 164 computations (36.2% saved)
ival-div: 2.0ms (38% of total)ival-cosh: 2.0ms (38% of total)ival-mult: 1.0ms (19% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.444793936730786e+98 | 1.4237517697126945e+100 |
| 15.0ms | 1.9266172265745125 | 918.5605801665463 |
| 17.0ms | 240× | 0 | valid |
Compiled 479 to 295 computations (38.4% saved)
ival-div: 4.0ms (45.8% of total)ival-cosh: 3.0ms (34.4% of total)ival-mult: 1.0ms (11.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.9266172265745125 | 918.5605801665463 |
| 10.0ms | 128× | 0 | valid |
Compiled 209 to 140 computations (33% saved)
ival-div: 2.0ms (40.9% of total)ival-cosh: 2.0ms (40.9% of total)ival-mult: 1.0ms (20.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.9266172265745125 | 918.5605801665463 |
| 10.0ms | 128× | 0 | valid |
Compiled 209 to 140 computations (33% saved)
ival-div: 2.0ms (40.6% of total)ival-cosh: 2.0ms (40.6% of total)ival-mult: 1.0ms (20.3% 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 | 9.718773810714074e-6 | 1.9266172265745125 |
| 13.0ms | 144× | 0 | valid |
Compiled 197 to 138 computations (29.9% saved)
ival-div: 5.0ms (61% of total)ival-cosh: 3.0ms (36.6% of total)ival-mult: 1.0ms (12.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.1746500989192328e-21 | 1.2316668007481893e-17 |
| 8.0ms | 112× | 0 | valid |
Compiled 143 to 96 computations (32.9% saved)
ival-div: 2.0ms (51% of total)ival-mult: 1.0ms (25.5% of total)ival-cosh: 1.0ms (25.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 1833127708473.5864 | 795235312196801.4 |
| 26.0ms | 128× | 0 | valid |
Compiled 161 to 108 computations (32.9% saved)
ival-div: 2.0ms (45.1% of total)ival-cosh: 2.0ms (45.1% of total)ival-mult: 1.0ms (22.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 68× | *-commutative_binary64 |
| 22× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 421 |
| 1 | 177 | 421 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 822752278660603/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)) |
(if (<=.f64 z #s(literal 5880079300393817/43556142965880123323311949751266331066368 binary64)) (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (+.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)))))))))))) |
(if (<=.f64 z #s(literal 4100000000000000006574408623897459513293839962579251757056000 binary64)) (/.f64 (/.f64 y (/.f64 z (+.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)))))))))) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) y)) |
(if (<=.f64 z #s(literal 161999999999999990373468225420031175389824522334677295456845824 binary64)) (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z)) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) y)) |
(if (<=.f64 y #s(literal 2244866514940267/187072209578355573530071658587684226515959365500928 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 1600000000 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 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) x) (/.f64 y z))) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 y (*.f64 x z)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z #s(literal 24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) y)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 y (*.f64 x z)) (if (<=.f64 x #s(literal 13999999999999999057039140201201410104027987895412049960249755149563261529951087641796286857074442240 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y x)) z) (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y))) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 y (*.f64 x z)) (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 y (*.f64 x z)) (*.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x z))) |
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) (/.f64 y (*.f64 x z)) (/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z)) |
(if (<=.f64 z #s(literal 7788445287802241/1298074214633706907132624082305024 binary64)) (/.f64 (/.f64 y z) x) (/.f64 y (*.f64 x z))) |
(if (<=.f64 z #s(literal 2800000000000 binary64)) (/.f64 (/.f64 y x) z) (/.f64 y (*.f64 x z))) |
(/.f64 y (*.f64 x z)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 822752278660603/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)) |
(if (<=.f64 z #s(literal 5880079300393817/43556142965880123323311949751266331066368 binary64)) (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (+.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)))))))))))) |
(if (<=.f64 z #s(literal 4100000000000000006574408623897459513293839962579251757056000 binary64)) (/.f64 (/.f64 y (/.f64 z (+.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)))))))))) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) y)) |
(if (<=.f64 z #s(literal 4100000000000000006574408623897459513293839962579251757056000 binary64)) (/.f64 (/.f64 y (/.f64 z (+.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)))))))))) x) (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))))) |
(if (<=.f64 z #s(literal 161999999999999990373468225420031175389824522334677295456845824 binary64)) (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z)) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) y)) |
(if (<=.f64 z #s(literal 161999999999999990373468225420031175389824522334677295456845824 binary64)) (/.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) z)) x) (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))))) |
(if (<=.f64 y #s(literal 2244866514940267/187072209578355573530071658587684226515959365500928 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 2244866514940267/187072209578355573530071658587684226515959365500928 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 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)) |
(if (<=.f64 y #s(literal 1600000000 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 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) x) (/.f64 y z))) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 y (*.f64 x z)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z #s(literal 24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) y)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 y (*.f64 x z)) (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z #s(literal 24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 y (*.f64 x z)) (if (<=.f64 x #s(literal 13999999999999999057039140201201410104027987895412049960249755149563261529951087641796286857074442240 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y x)) z) (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y))) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 y (*.f64 x z)) (if (<=.f64 x #s(literal 13999999999999999057039140201201410104027987895412049960249755149563261529951087641796286857074442240 binary64)) (/.f64 (*.f64 (/.f64 y x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (*.f64 y (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z)))) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 y (*.f64 x z)) (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z) y)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 y (*.f64 x z)) (*.f64 y (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) z))) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 y (*.f64 x z)) (*.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x z))) |
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) (/.f64 y (*.f64 x z)) (/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z)) |
(if (<=.f64 z #s(literal 7788445287802241/1298074214633706907132624082305024 binary64)) (/.f64 (/.f64 y z) x) (/.f64 y (*.f64 x z))) |
(if (<=.f64 z #s(literal 2800000000000 binary64)) (/.f64 (/.f64 y x) z) (/.f64 y (*.f64 x z))) |
(/.f64 y (*.f64 x z)) |
| 5358× | *-lowering-*.f32 |
| 5358× | *-lowering-*.f64 |
| 5252× | *-lowering-*.f32 |
| 5252× | *-lowering-*.f64 |
| 4454× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 2216 |
| 1 | 218 | 2160 |
| 2 | 732 | 2130 |
| 3 | 1960 | 2108 |
| 4 | 2765 | 2108 |
| 5 | 3618 | 2102 |
| 6 | 4350 | 2102 |
| 7 | 6116 | 2102 |
| 8 | 6537 | 2102 |
| 9 | 6795 | 2099 |
| 10 | 7072 | 2099 |
| 11 | 7687 | 2099 |
| 12 | 7713 | 2099 |
| 0 | 8439 | 2099 |
| 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 | 270 | 5326 |
| 1 | 953 | 4697 |
| 2 | 3515 | 4606 |
| 0 | 8333 | 4606 |
| 0 | 277 | 6009 |
| 1 | 955 | 5114 |
| 2 | 3518 | 4965 |
| 0 | 8506 | 4965 |
| 0 | 37 | 212 |
| 1 | 244 | 183 |
| 2 | 2096 | 183 |
| 0 | 8456 | 183 |
| 0 | 37 | 204 |
| 1 | 243 | 180 |
| 2 | 2181 | 180 |
| 0 | 9368 | 180 |
| 0 | 41 | 261 |
| 1 | 278 | 229 |
| 2 | 2792 | 227 |
| 0 | 8517 | 227 |
| 0 | 10 | 37 |
| 1 | 49 | 37 |
| 2 | 325 | 37 |
| 3 | 3001 | 37 |
| 0 | 8431 | 37 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 1077 to 562 computations (47.8% saved)
Compiled 1198 to 452 computations (62.3% saved)
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