
Time bar (total: 8.7s)
| 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 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 4 |
Compiled 14 to 11 computations (21.4% saved)
| 647.0ms | 8 256× | 0 | valid |
ival-mult: 275.0ms (63.6% of total)ival-add: 87.0ms (20.1% of total)ival-sqrt: 61.0ms (14.1% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)| 2× | egg-herbie |
| 96× | sub-neg |
| 92× | unsub-neg |
| 62× | neg-sub0 |
| 60× | distribute-neg-out |
| 54× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 123 |
| 1 | 70 | 123 |
| 2 | 149 | 123 |
| 3 | 306 | 123 |
| 4 | 480 | 123 |
| 5 | 525 | 123 |
| 6 | 527 | 123 |
| 0 | 9 | 12 |
| 1 | 13 | 12 |
| 2 | 20 | 12 |
| 3 | 22 | 12 |
| 0 | 22 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| Outputs |
|---|
(sqrt (+ (+ (* x x) (* y y)) (* z z))) |
(sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))) |
| Inputs |
|---|
(sqrt (+ (+ (* x x) (* y y)) (* z z))) |
(sqrt (+ (+ (* (neg x) (neg x)) (* y y)) (* z z))) |
(sqrt (+ (+ (* x x) (* (neg y) (neg y))) (* z z))) |
(sqrt (+ (+ (* x x) (* y y)) (* (neg z) (neg z)))) |
(neg (sqrt (+ (+ (* (neg x) (neg x)) (* y y)) (* z z)))) |
(neg (sqrt (+ (+ (* x x) (* (neg y) (neg y))) (* z z)))) |
(neg (sqrt (+ (+ (* x x) (* y y)) (* (neg z) (neg z))))) |
(sqrt (+ (+ (* y y) (* x x)) (* z z))) |
(sqrt (+ (+ (* z z) (* y y)) (* x x))) |
(sqrt (+ (+ (* x x) (* z z)) (* y y))) |
| Outputs |
|---|
(sqrt (+ (+ (* x x) (* y y)) (* z z))) |
(sqrt (+ (* x x) (+ (* y y) (* z z)))) |
(sqrt (+ (+ (* (neg x) (neg x)) (* y y)) (* z z))) |
(sqrt (+ (* x x) (+ (* y y) (* z z)))) |
(sqrt (+ (+ (* x x) (* (neg y) (neg y))) (* z z))) |
(sqrt (+ (* x x) (+ (* y y) (* z z)))) |
(sqrt (+ (+ (* x x) (* y y)) (* (neg z) (neg z)))) |
(sqrt (+ (* x x) (+ (* y y) (* z z)))) |
(neg (sqrt (+ (+ (* (neg x) (neg x)) (* y y)) (* z z)))) |
(neg (sqrt (+ (* x x) (+ (* y y) (* z z))))) |
(neg (sqrt (+ (+ (* x x) (* (neg y) (neg y))) (* z z)))) |
(neg (sqrt (+ (* x x) (+ (* y y) (* z z))))) |
(neg (sqrt (+ (+ (* x x) (* y y)) (* (neg z) (neg z))))) |
(neg (sqrt (+ (* x x) (+ (* y y) (* z z))))) |
(sqrt (+ (+ (* y y) (* x x)) (* z z))) |
(sqrt (+ (* x x) (+ (* y y) (* z z)))) |
(sqrt (+ (+ (* z z) (* y y)) (* x x))) |
(sqrt (+ (* x x) (+ (* y y) (* z z)))) |
(sqrt (+ (+ (* x x) (* z z)) (* y y))) |
(sqrt (+ (* x x) (+ (* y y) (* z z)))) |
(abs x)
(abs y)
(abs z)
(sort x y z)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 157 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) | oflow-rescue | 152 | 0 |
| ↳ | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | overflow | 152 | |
| ↳ | (*.f64 y y) | overflow | 40 | |
| ↳ | (*.f64 x x) | overflow | 4 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 40 | |
| ↳ | (*.f64 z z) | overflow | 152 | |
sqrt.f64 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) | uflow-rescue | 5 | 0 |
| ↳ | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | underflow | 5 | |
| ↳ | (*.f64 y y) | underflow | 33 | |
| ↳ | (*.f64 x x) | underflow | 152 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | underflow | 33 | |
| ↳ | (*.f64 z z) | underflow | 5 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 157 | 0 |
| - | 0 | 99 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 157 | 0 | 0 |
| - | 0 | 0 | 99 |
| number | freq |
|---|---|
| 0 | 99 |
| 1 | 157 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 38.0ms | 512× | 0 | valid |
Compiled 118 to 40 computations (66.1% saved)
ival-mult: 11.0ms (55.8% of total)ival-add: 4.0ms (20.3% of total)ival-sqrt: 4.0ms (20.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 43.0% | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
Compiled 15 to 9 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| ✓ | cost-diff | 128 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 24× | +-lowering-+.f64 |
| 24× | +-lowering-+.f32 |
| 18× | accelerator-lowering-fma.f32 |
| 18× | accelerator-lowering-fma.f64 |
| 10× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 1 | 13 | 42 |
| 2 | 20 | 42 |
| 3 | 22 | 42 |
| 0 | 22 | 37 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(sqrt (+ (+ (* x x) (* y y)) (* z z))) |
(+ (+ (* x x) (* y y)) (* z z)) |
(+ (* x x) (* y y)) |
(* x x) |
x |
(* y y) |
y |
(* z z) |
z |
| Outputs |
|---|
(sqrt (+ (+ (* x x) (* y y)) (* z z))) |
(sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))) |
(+ (+ (* x x) (* y y)) (* z z)) |
(fma.f64 x x (fma.f64 y y (*.f64 z z))) |
(+ (* x x) (* y y)) |
(fma.f64 x x (*.f64 y y)) |
(* x x) |
(*.f64 x x) |
x |
(* y y) |
(*.f64 y y) |
y |
(* z z) |
(*.f64 z z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| ✓ | accuracy | 43.1% | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 17.0ms | 256× | 0 | valid |
Compiled 44 to 11 computations (75% saved)
ival-mult: 5.0ms (52.6% of total)ival-add: 2.0ms (21.1% of total)ival-sqrt: 2.0ms (21.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (+ (* x x) (* y y)) (* z z))> |
#<alt (+ (* x x) (* y y))> |
#<alt (sqrt (+ (+ (* x x) (* y y)) (* z z)))> |
#<alt (* x x)> |
#<alt (* y y)> |
| Outputs |
|---|
#<alt (+ (pow y 2) (pow z 2))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (+ (pow x 2) (pow z 2))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (+ (pow x 2) (pow y 2))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (pow y 2)> |
#<alt (+ (pow x 2) (pow y 2))> |
#<alt (+ (pow x 2) (pow y 2))> |
#<alt (+ (pow x 2) (pow y 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (+ (pow x 2) (pow y 2))> |
#<alt (+ (pow x 2) (pow y 2))> |
#<alt (+ (pow x 2) (pow y 2))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))> |
#<alt (sqrt (+ (pow y 2) (pow z 2)))> |
#<alt (+ (sqrt (+ (pow y 2) (pow z 2))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))))> |
#<alt (+ (sqrt (+ (pow y 2) (pow z 2))) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))))))> |
#<alt (+ (sqrt (+ (pow y 2) (pow z 2))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 5))))))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))> |
#<alt (* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))> |
#<alt (* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (+ (* 1/16 (/ (pow (+ (pow y 2) (pow z 2)) 3) (pow x 6))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (+ (* 1/16 (/ (pow (+ (pow y 2) (pow z 2)) 3) (pow x 6))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))))> |
#<alt (sqrt (+ (pow x 2) (pow z 2)))> |
#<alt (+ (sqrt (+ (pow x 2) (pow z 2))) (* 1/2 (* (pow y 2) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))))> |
#<alt (+ (sqrt (+ (pow x 2) (pow z 2))) (* (pow y 2) (+ (* -1/8 (* (pow y 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))))))> |
#<alt (+ (sqrt (+ (pow x 2) (pow z 2))) (* (pow y 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) (* (pow y 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3)))) (* 1/16 (* (pow y 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 5))))))))))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))> |
#<alt (* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))> |
#<alt (* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow z 2)) 3) (pow y 6))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow z 2)) 3) (pow y 6))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))))> |
#<alt (sqrt (+ (pow x 2) (pow y 2)))> |
#<alt (+ (sqrt (+ (pow x 2) (pow y 2))) (* 1/2 (* (pow z 2) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))))> |
#<alt (+ (sqrt (+ (pow x 2) (pow y 2))) (* (pow z 2) (+ (* -1/8 (* (pow z 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))))))> |
#<alt (+ (sqrt (+ (pow x 2) (pow y 2))) (* (pow z 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) (* (pow z 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3)))) (* 1/16 (* (pow z 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 5))))))))))> |
#<alt z> |
#<alt (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))> |
#<alt (* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))> |
#<alt (* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow y 2)) 3) (pow z 6))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))> |
#<alt (* -1 (* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))))> |
#<alt (* -1 (* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow y 2)) 3) (pow z 6))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 1.0ms | z | @ | 0 | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 1.0ms | x | @ | 0 | (+ (+ (* x x) (* y y)) (* z z)) |
| 1.0ms | y | @ | inf | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 1.0ms | x | @ | 0 | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 1× | batch-egg-rewrite |
| 4 538× | accelerator-lowering-fma.f32 |
| 4 538× | accelerator-lowering-fma.f64 |
| 4 230× | *-lowering-*.f32 |
| 4 230× | *-lowering-*.f64 |
| 2 536× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 44 | 36 |
| 2 | 401 | 36 |
| 3 | 5847 | 36 |
| 0 | 8146 | 31 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (* x x) (* y y)) (* z z)) |
(+ (* x x) (* y y)) |
(sqrt (+ (+ (* x x) (* y y)) (* z z))) |
(* x x) |
(* y y) |
| Outputs |
|---|
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 z z))) |
(+.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z))) |
(+.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) |
(+.f64 (fma.f64 y y (*.f64 z z)) (*.f64 x x)) |
(+.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))))) |
(+.f64 (fma.f64 x x (*.f64 z z)) (*.f64 y y)) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 z z))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 z z)))) (/.f64 (*.f64 (fma.f64 y y (*.f64 z z)) (fma.f64 y y (*.f64 z z))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 z z))))) |
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(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x)))))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x)))) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))))))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x)))) (/.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x)))))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))))))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (+.f64 x y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 x x (*.f64 y y))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))))))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x)))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 x x (*.f64 y y)))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (fma.f64 z z (fma.f64 x x (*.f64 y y))))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))))) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))) |
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (sqrt.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z)))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) (sqrt.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z))))) (sqrt.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z))))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 y y (*.f64 z z)) (*.f64 (fma.f64 y y (*.f64 z z)) (fma.f64 y y (*.f64 z z)))))) (sqrt.f64 (fma.f64 (fma.f64 y y (*.f64 z z)) (-.f64 (fma.f64 y y (*.f64 z z)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 z z))))) (sqrt.f64 (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 z z))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))))) (sqrt.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z))))))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))))) (neg.f64 (sqrt.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))))) |
(pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z))))) (sqrt.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z))))))) |
(*.f64 (sqrt.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z))))))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))))) |
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64))) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(*.f64 y y) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
| 1× | egg-herbie |
| 11 154× | accelerator-lowering-fma.f32 |
| 11 154× | accelerator-lowering-fma.f64 |
| 4 248× | *-lowering-*.f32 |
| 4 248× | *-lowering-*.f64 |
| 2 568× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 1644 |
| 1 | 506 | 1644 |
| 2 | 1772 | 1641 |
| 3 | 4768 | 1539 |
| 0 | 8069 | 1308 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (pow y 2) (pow z 2)) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(+ (pow x 2) (pow z 2)) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(pow z 2) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(sqrt (+ (pow y 2) (pow z 2))) |
(+ (sqrt (+ (pow y 2) (pow z 2))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (+ (pow y 2) (pow z 2))))))) |
(+ (sqrt (+ (pow y 2) (pow z 2))) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))))) |
(+ (sqrt (+ (pow y 2) (pow z 2))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 5)))))))))) |
x |
(* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (+ (* 1/16 (/ (pow (+ (pow y 2) (pow z 2)) 3) (pow x 6))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (+ (* 1/16 (/ (pow (+ (pow y 2) (pow z 2)) 3) (pow x 6))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))))) |
(sqrt (+ (pow x 2) (pow z 2))) |
(+ (sqrt (+ (pow x 2) (pow z 2))) (* 1/2 (* (pow y 2) (sqrt (/ 1 (+ (pow x 2) (pow z 2))))))) |
(+ (sqrt (+ (pow x 2) (pow z 2))) (* (pow y 2) (+ (* -1/8 (* (pow y 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))))) |
(+ (sqrt (+ (pow x 2) (pow z 2))) (* (pow y 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) (* (pow y 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3)))) (* 1/16 (* (pow y 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 5)))))))))) |
y |
(* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow z 2)) 3) (pow y 6))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow z 2)) 3) (pow y 6))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))))) |
(sqrt (+ (pow x 2) (pow y 2))) |
(+ (sqrt (+ (pow x 2) (pow y 2))) (* 1/2 (* (pow z 2) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))))) |
(+ (sqrt (+ (pow x 2) (pow y 2))) (* (pow z 2) (+ (* -1/8 (* (pow z 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))))) |
(+ (sqrt (+ (pow x 2) (pow y 2))) (* (pow z 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) (* (pow z 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3)))) (* 1/16 (* (pow z 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)))))))))) |
z |
(* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) |
(* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))) |
(* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow y 2)) 3) (pow z 6))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))) |
(* -1 (* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow y 2)) 3) (pow z 6))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
| Outputs |
|---|
(+ (pow y 2) (pow z 2)) |
(fma.f64 z z (*.f64 y y)) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(+ (pow x 2) (pow z 2)) |
(fma.f64 z z (*.f64 x x)) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 x x (*.f64 y y)) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(*.f64 z (+.f64 z (/.f64 (fma.f64 x x (*.f64 y y)) z))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(*.f64 z (+.f64 z (/.f64 (fma.f64 x x (*.f64 y y)) z))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(*.f64 z (+.f64 z (/.f64 (fma.f64 x x (*.f64 y y)) z))) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(*.f64 z (+.f64 z (/.f64 (fma.f64 x x (*.f64 y y)) z))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(*.f64 z (+.f64 z (/.f64 (fma.f64 x x (*.f64 y y)) z))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(*.f64 z (+.f64 z (/.f64 (fma.f64 x x (*.f64 y y)) z))) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 x x (*.f64 y y)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 x x (*.f64 y y)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 x x (*.f64 y y)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 x x (*.f64 y y)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 x x (*.f64 y y)) |
(pow x 2) |
(*.f64 x x) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 x x (*.f64 y y)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 x x (*.f64 y y)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 x x (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 y y)) |
(sqrt (+ (pow y 2) (pow z 2))) |
(sqrt.f64 (fma.f64 z z (*.f64 y y))) |
(+ (sqrt (+ (pow y 2) (pow z 2))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (+ (pow y 2) (pow z 2))))))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 (fma.f64 z z (*.f64 y y)))) |
(+ (sqrt (+ (pow y 2) (pow z 2))) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))))) |
(fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y)))))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y y))))))) (sqrt.f64 (fma.f64 z z (*.f64 y y)))) |
(+ (sqrt (+ (pow y 2) (pow z 2))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 5)))))))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 5 binary64))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y)))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y y))))))) (sqrt.f64 (fma.f64 z z (*.f64 y y)))) |
x |
(* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) |
(fma.f64 (fma.f64 z z (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) x) x) |
(* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))) |
(fma.f64 x (fma.f64 (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/2 binary64)) x)) |
(* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (+ (* 1/16 (/ (pow (+ (pow y 2) (pow z 2)) 3) (pow x 6))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))) |
(fma.f64 x (fma.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y))) (/.f64 (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/2 binary64)) x)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))) |
(-.f64 (*.f64 (/.f64 (fma.f64 z z (*.f64 y y)) x) #s(literal -1/2 binary64)) x) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))) |
(fma.f64 x (fma.f64 (/.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/8 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 (fma.f64 z z (*.f64 y y)) x) #s(literal -1/2 binary64))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (+ (* 1/16 (/ (pow (+ (pow y 2) (pow z 2)) 3) (pow x 6))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y))) (/.f64 (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 z z (*.f64 y y)) x) #s(literal -1/2 binary64))) |
(sqrt (+ (pow x 2) (pow z 2))) |
(sqrt.f64 (fma.f64 z z (*.f64 x x))) |
(+ (sqrt (+ (pow x 2) (pow z 2))) (* 1/2 (* (pow y 2) (sqrt (/ 1 (+ (pow x 2) (pow z 2))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x x)))) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 z z (*.f64 x x)))) |
(+ (sqrt (+ (pow x 2) (pow z 2))) (* (pow y 2) (+ (* -1/8 (* (pow y 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (fma.f64 z z (*.f64 x x)) (fma.f64 z z (*.f64 x x))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x x)))))) (sqrt.f64 (fma.f64 z z (*.f64 x x)))) |
(+ (sqrt (+ (pow x 2) (pow z 2))) (* (pow y 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) (* (pow y 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3)))) (* 1/16 (* (pow y 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 5)))))))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (fma.f64 z z (*.f64 x x)) (fma.f64 z z (*.f64 x x)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z (*.f64 x x)) #s(literal 5 binary64)))) (*.f64 (*.f64 y y) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x x)))))) (sqrt.f64 (fma.f64 z z (*.f64 x x)))) |
y |
(* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) |
(fma.f64 (fma.f64 z z (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y) y) |
(* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))) |
(fma.f64 y (fma.f64 (fma.f64 z z (*.f64 x x)) (/.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/2 binary64)) y)) |
(* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow z 2)) 3) (pow y 6))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))) |
(fma.f64 y (fma.f64 (fma.f64 z z (*.f64 x x)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 z z (*.f64 x x)) (fma.f64 z z (*.f64 x x)))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 z z (*.f64 x x)) (/.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/2 binary64)) y)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))) |
(-.f64 (*.f64 (/.f64 (fma.f64 z z (*.f64 x x)) y) #s(literal -1/2 binary64)) y) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))) |
(fma.f64 y (fma.f64 (/.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (fma.f64 z z (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/8 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 (fma.f64 z z (*.f64 x x)) y) #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow z 2)) 3) (pow y 6))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 (fma.f64 z z (*.f64 x x)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 z z (*.f64 x x)) (fma.f64 z z (*.f64 x x)))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 z z (*.f64 x x)) (/.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 z z (*.f64 x x)) y) #s(literal -1/2 binary64))) |
(sqrt (+ (pow x 2) (pow y 2))) |
(sqrt.f64 (fma.f64 x x (*.f64 y y))) |
(+ (sqrt (+ (pow x 2) (pow y 2))) (* 1/2 (* (pow z 2) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x (*.f64 y y)))) |
(+ (sqrt (+ (pow x 2) (pow y 2))) (* (pow z 2) (+ (* -1/8 (* (pow z 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))))) |
(fma.f64 (*.f64 z z) (fma.f64 (*.f64 z z) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))))) (sqrt.f64 (fma.f64 x x (*.f64 y y)))) |
(+ (sqrt (+ (pow x 2) (pow y 2))) (* (pow z 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) (* (pow z 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3)))) (* 1/16 (* (pow z 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)))))))))) |
(fma.f64 (*.f64 z z) (fma.f64 (*.f64 z z) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 5 binary64)))) (*.f64 (*.f64 z z) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))))) (sqrt.f64 (fma.f64 x x (*.f64 y y)))) |
z |
(* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 y y)) z) z) |
(* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))) |
(fma.f64 z (fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 y y)) z))) |
(* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow y 2)) 3) (pow z 6))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))) |
(fma.f64 z (fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 y y)) z))) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 y y)) z) z)) |
(* -1 (* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))) |
(fma.f64 z (fma.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1/8 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) z) #s(literal -1/2 binary64))) |
(* -1 (* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow y 2)) 3) (pow z 6))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) z) #s(literal -1/2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
Compiled 12 480 to 1 008 computations (91.9% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 344 | 3 | 347 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 345 | 3 | 348 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 43.1% | (sqrt.f64 (fma.f64 z z (*.f64 y y))) |
| ▶ | 38.6% | (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))))) |
| ▶ | 97.9% | z |
Compiled 51 to 23 computations (54.9% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 z z (*.f64 y y)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 z z (*.f64 y y))) |
| ✓ | cost-diff | 0 | (fma.f64 z z (fma.f64 x x (*.f64 y y))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))))) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))))) |
| ✓ | cost-diff | 3328 | (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) |
| 7 134× | accelerator-lowering-fma.f32 |
| 7 134× | accelerator-lowering-fma.f64 |
| 4 560× | *-lowering-*.f32 |
| 4 560× | *-lowering-*.f64 |
| 2 244× | neg-lowering-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 106 |
| 1 | 39 | 100 |
| 2 | 91 | 100 |
| 3 | 382 | 100 |
| 4 | 3033 | 100 |
| 5 | 5363 | 100 |
| 0 | 8133 | 85 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
z |
(sqrt (* (+ (* z z) (+ (* x x) (* y y))) (* (+ (* (+ x z) (- x z)) (* y y)) (/ 1 (+ (* (+ x z) (- x z)) (* y y)))))) |
(* (+ (* z z) (+ (* x x) (* y y))) (* (+ (* (+ x z) (- x z)) (* y y)) (/ 1 (+ (* (+ x z) (- x z)) (* y y))))) |
(+ (* z z) (+ (* x x) (* y y))) |
z |
(+ (* x x) (* y y)) |
x |
(* y y) |
y |
(* (+ (* (+ x z) (- x z)) (* y y)) (/ 1 (+ (* (+ x z) (- x z)) (* y y)))) |
(+ (* (+ x z) (- x z)) (* y y)) |
(+ x z) |
(- x z) |
(/ 1 (+ (* (+ x z) (- x z)) (* y y))) |
1 |
(sqrt (+ (* z z) (* y y))) |
(+ (* z z) (* y y)) |
z |
(* y y) |
y |
| Outputs |
|---|
z |
(sqrt (* (+ (* z z) (+ (* x x) (* y y))) (* (+ (* (+ x z) (- x z)) (* y y)) (/ 1 (+ (* (+ x z) (- x z)) (* y y)))))) |
(sqrt.f64 (fma.f64 z z (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))) |
(* (+ (* z z) (+ (* x x) (* y y))) (* (+ (* (+ x z) (- x z)) (* y y)) (/ 1 (+ (* (+ x z) (- x z)) (* y y))))) |
(fma.f64 z z (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) |
(+ (* z z) (+ (* x x) (* y y))) |
(fma.f64 z z (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) |
z |
(+ (* x x) (* y y)) |
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) |
x |
(* y y) |
(fma.f64 y y #s(literal 0 binary64)) |
y |
(* (+ (* (+ x z) (- x z)) (* y y)) (/ 1 (+ (* (+ x z) (- x z)) (* y y)))) |
#s(literal 1 binary64) |
(+ (* (+ x z) (- x z)) (* y y)) |
(fma.f64 (+.f64 z x) (-.f64 x z) (fma.f64 y y #s(literal 0 binary64))) |
(+ x z) |
(+.f64 z x) |
(- x z) |
(-.f64 x z) |
(/ 1 (+ (* (+ x z) (- x z)) (* y y))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z x) (-.f64 x z) (fma.f64 y y #s(literal 0 binary64)))) |
1 |
#s(literal 1 binary64) |
(sqrt (+ (* z z) (* y y))) |
(sqrt.f64 (fma.f64 z z (fma.f64 y y #s(literal 0 binary64)))) |
(+ (* z z) (* y y)) |
(fma.f64 z z (fma.f64 y y #s(literal 0 binary64))) |
z |
(* y y) |
(fma.f64 y y #s(literal 0 binary64)) |
y |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 z z (*.f64 y y)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 43.1% | (sqrt.f64 (fma.f64 z z (*.f64 y y))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) |
| ✓ | accuracy | 84.4% | (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) |
| ✓ | accuracy | 43.1% | (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))))) |
| ✓ | accuracy | 40.4% | (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) |
| 62.0ms | 256× | 0 | valid |
Compiled 161 to 21 computations (87% saved)
ival-mult: 38.0ms (75.3% of total)ival-add: 5.0ms (9.9% of total)ival-sqrt: 3.0ms (5.9% of total)ival-div: 2.0ms (4% of total)ival-sub: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (+ (* (+ x z) (- x z)) (* y y)) (/ 1 (+ (* (+ x z) (- x z)) (* y y))))> |
#<alt (* (+ (* z z) (+ (* x x) (* y y))) (* (+ (* (+ x z) (- x z)) (* y y)) (/ 1 (+ (* (+ x z) (- x z)) (* y y)))))> |
#<alt (sqrt (* (+ (* z z) (+ (* x x) (* y y))) (* (+ (* (+ x z) (- x z)) (* y y)) (/ 1 (+ (* (+ x z) (- x z)) (* y y))))))> |
#<alt (+ (* z z) (+ (* x x) (* y y)))> |
#<alt (sqrt (+ (* z z) (* y y)))> |
#<alt (+ (* z z) (* y y))> |
#<alt (* y y)> |
#<alt (+ (* (+ x z) (- x z)) (* y y))> |
#<alt (/ 1 (+ (* (+ x z) (- x z)) (* y y)))> |
| Outputs |
|---|
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt (+ (pow x 2) (pow y 2))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (+ (pow y 2) (pow z 2))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (+ (pow x 2) (pow z 2))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (sqrt (+ (pow x 2) (pow y 2)))> |
#<alt (+ (sqrt (+ (pow x 2) (pow y 2))) (* 1/2 (* (pow z 2) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))))> |
#<alt (+ (sqrt (+ (pow x 2) (pow y 2))) (* (pow z 2) (+ (* -1/8 (* (pow z 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))))))> |
#<alt (+ (sqrt (+ (pow x 2) (pow y 2))) (* (pow z 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) (* (pow z 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3)))) (* 1/16 (* (pow z 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 5))))))))))> |
#<alt z> |
#<alt (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))> |
#<alt (* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))> |
#<alt (* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow y 2)) 3) (pow z 6))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))> |
#<alt (* -1 (* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))))> |
#<alt (* -1 (* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow y 2)) 3) (pow z 6))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))))> |
#<alt (sqrt (+ (pow y 2) (pow z 2)))> |
#<alt (+ (sqrt (+ (pow y 2) (pow z 2))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))))> |
#<alt (+ (sqrt (+ (pow y 2) (pow z 2))) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))))))> |
#<alt (+ (sqrt (+ (pow y 2) (pow z 2))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 5))))))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))> |
#<alt (* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))> |
#<alt (* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (+ (* 1/16 (/ (pow (+ (pow y 2) (pow z 2)) 3) (pow x 6))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (+ (* 1/16 (/ (pow (+ (pow y 2) (pow z 2)) 3) (pow x 6))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))))> |
#<alt (sqrt (+ (pow x 2) (pow z 2)))> |
#<alt (+ (sqrt (+ (pow x 2) (pow z 2))) (* 1/2 (* (pow y 2) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))))> |
#<alt (+ (sqrt (+ (pow x 2) (pow z 2))) (* (pow y 2) (+ (* -1/8 (* (pow y 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))))))> |
#<alt (+ (sqrt (+ (pow x 2) (pow z 2))) (* (pow y 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) (* (pow y 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3)))) (* 1/16 (* (pow y 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 5))))))))))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))> |
#<alt (* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))> |
#<alt (* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow z 2)) 3) (pow y 6))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow z 2)) 3) (pow y 6))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))))> |
#<alt (+ (pow x 2) (pow y 2))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))> |
#<alt (+ (pow y 2) (pow z 2))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))> |
#<alt (+ (pow x 2) (pow z 2))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))> |
#<alt y> |
#<alt (+ y (* 1/2 (/ (pow z 2) y)))> |
#<alt (+ y (* (pow z 2) (+ (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y)))))> |
#<alt (+ y (* (pow z 2) (+ (* (pow z 2) (- (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))> |
#<alt z> |
#<alt (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))> |
#<alt (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (* 1/2 (/ (pow y 2) (pow z 2))))))> |
#<alt (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (+ (* 1/16 (/ (pow y 6) (pow z 6))) (* 1/2 (/ (pow y 2) (pow z 2)))))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))))> |
#<alt (* -1 (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (* 1/2 (/ (pow y 2) (pow z 2)))))))> |
#<alt (* -1 (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (+ (* 1/16 (/ (pow y 6) (pow z 6))) (* 1/2 (/ (pow y 2) (pow z 2))))))))> |
#<alt z> |
#<alt (+ z (* 1/2 (/ (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow z 3))) (* 1/2 (/ 1 z)))))> |
#<alt (+ z (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow z 5))) (* 1/8 (/ 1 (pow z 3))))) (* 1/2 (/ 1 z)))))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/2 (/ (pow z 2) (pow y 2)))))> |
#<alt (* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* 1/2 (/ (pow z 2) (pow y 2))))))> |
#<alt (* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (+ (* 1/16 (/ (pow z 6) (pow y 6))) (* 1/2 (/ (pow z 2) (pow y 2)))))))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* 1/2 (/ (pow z 2) (pow y 2))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* 1/2 (/ (pow z 2) (pow y 2)))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (+ (* 1/16 (/ (pow z 6) (pow y 6))) (* 1/2 (/ (pow z 2) (pow y 2))))))))> |
#<alt (pow y 2)> |
#<alt (+ (pow y 2) (pow z 2))> |
#<alt (+ (pow y 2) (pow z 2))> |
#<alt (+ (pow y 2) (pow z 2))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))> |
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))> |
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))> |
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))> |
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))> |
#<alt (pow z 2)> |
#<alt (+ (pow y 2) (pow z 2))> |
#<alt (+ (pow y 2) (pow z 2))> |
#<alt (+ (pow y 2) (pow z 2))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (+ (* -1 (pow z 2)) (pow y 2))> |
#<alt (+ (* -1 (pow z 2)) (+ (* x (+ z (* -1 z))) (pow y 2)))> |
#<alt (+ (* -1 (pow z 2)) (+ (* x (+ x (+ z (* -1 z)))) (pow y 2)))> |
#<alt (+ (* -1 (pow z 2)) (+ (* x (+ x (+ z (* -1 z)))) (pow y 2)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ z x) (/ (pow y 2) (pow x 2)))))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ z x) (/ (pow y 2) (pow x 2)))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow y 2)) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow y 2)) x))) x))))> |
#<alt (+ (pow x 2) (pow y 2))> |
#<alt (+ (* z (+ x (* -1 x))) (+ (pow x 2) (pow y 2)))> |
#<alt (+ (* z (+ x (+ (* -1 x) (* -1 z)))) (+ (pow x 2) (pow y 2)))> |
#<alt (+ (* z (+ x (+ (* -1 x) (* -1 z)))) (+ (pow x 2) (pow y 2)))> |
#<alt (* -1 (pow z 2))> |
#<alt (* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1))> |
#<alt (* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))> |
#<alt (* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))> |
#<alt (* -1 (pow z 2))> |
#<alt (* (pow z 2) (- (* -1 (/ (+ x (* -1 x)) z)) 1))> |
#<alt (* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))> |
#<alt (* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))> |
#<alt (* (+ x z) (- x z))> |
#<alt (+ (* (+ x z) (- x z)) (pow y 2))> |
#<alt (+ (* (+ x z) (- x z)) (pow y 2))> |
#<alt (+ (* (+ x z) (- x z)) (pow y 2))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))> |
#<alt (/ 1 (+ (* -1 (pow z 2)) (pow y 2)))> |
#<alt (+ (* -1 (* x (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow y 2))))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2)))) (+ (* -1 (pow z 2)) (pow y 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow y 2))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2)))) (+ (* -1 (pow z 2)) (pow y 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow y 2)) 2)))) (+ (* -1 (pow z 2)) (pow y 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (+ (* -1 (pow z 2)) (pow y 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2)))) (+ (* -1 (pow z 2)) (pow y 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow y 2))))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (+ z (* -1 z)) x))) (pow x 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow y 2))) (pow x 2)))) (+ (* -1 (/ z x)) (/ z x))) (pow x 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow y 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow y 2))))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow x 2))) (+ (/ z x) (/ (pow y 2) (pow x 2))))))) (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (+ z (* -1 z)) x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) x)) (/ (pow y 2) x))) (* -1 (+ z (* -1 z)))) x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow y 2)))) x) (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow y 2))) x)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow y 2)))) x)) (* -1 (+ z (* -1 z)))) x))) (pow x 2))> |
#<alt (/ 1 (+ (pow x 2) (pow y 2)))> |
#<alt (+ (* -1 (* z (+ (* -1 (/ x (pow (+ (pow x 2) (pow y 2)) 2))) (/ x (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2))))> |
#<alt (+ (* z (- (* z (- (/ 1 (pow (+ (pow x 2) (pow y 2)) 2)) (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (/ x (pow (+ (pow x 2) (pow y 2)) 2))) (/ x (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (* -1 (/ x (pow (+ (pow x 2) (pow y 2)) 2))) (/ x (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2))))> |
#<alt (+ (* z (- (* z (- (+ (* -1 (* z (+ (* -1 (/ x (pow (+ (pow x 2) (pow y 2)) 3))) (+ (/ x (pow (+ (pow x 2) (pow y 2)) 3)) (/ (* (+ x (* -1 x)) (- (/ 1 (pow (+ (pow x 2) (pow y 2)) 2)) (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (/ x (pow (+ (pow x 2) (pow y 2)) 2))) (/ x (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (pow x 2) (pow y 2))))))) (/ 1 (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (/ x (pow (+ (pow x 2) (pow y 2)) 2))) (/ x (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (* -1 (/ x (pow (+ (pow x 2) (pow y 2)) 2))) (/ x (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2))))> |
#<alt (/ -1 (pow z 2))> |
#<alt (/ (- (* -1 (/ (+ x (* -1 x)) z)) 1) (pow z 2))> |
#<alt (/ (- (* -1 (/ (+ (pow x 2) (+ (pow y 2) (pow (+ x (* -1 x)) 2))) (pow z 2))) (+ 1 (+ (* -1 (/ x z)) (/ x z)))) (pow z 2))> |
#<alt (/ (- (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (+ (pow y 2) (pow (+ x (* -1 x)) 2)))) (* (+ x (* -1 x)) (+ (pow x 2) (pow y 2)))) (pow z 3))) (+ 1 (+ (* -1 (/ x z)) (+ (/ x z) (+ (/ (pow x 2) (pow z 2)) (+ (/ (pow y 2) (pow z 2)) (/ (pow (+ x (* -1 x)) 2) (pow z 2)))))))) (pow z 2))> |
#<alt (/ -1 (pow z 2))> |
#<alt (/ (- (+ (* -1 (/ x z)) (/ x z)) 1) (pow z 2))> |
#<alt (/ (- (* -1 (/ (- (+ (/ (pow x 2) z) (+ (/ (pow y 2) z) (/ (pow (+ x (* -1 x)) 2) z))) (+ x (* -1 x))) z)) 1) (pow z 2))> |
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (+ (pow y 2) (pow (+ x (* -1 x)) 2)))) z) (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow y 2))) z)) (+ (pow x 2) (+ (pow y 2) (pow (+ x (* -1 x)) 2)))) z)) (+ x (* -1 x))) z)) 1) (pow z 2))> |
#<alt (/ 1 (* (+ x z) (- x z)))> |
#<alt (+ (* -1 (/ (pow y 2) (* (pow (+ x z) 2) (pow (- x z) 2)))) (/ 1 (* (+ x z) (- x z))))> |
#<alt (+ (* (pow y 2) (- (/ (pow y 2) (* (pow (+ x z) 3) (pow (- x z) 3))) (/ 1 (* (pow (+ x z) 2) (pow (- x z) 2))))) (/ 1 (* (+ x z) (- x z))))> |
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) (* (pow (+ x z) 4) (pow (- x z) 4)))) (/ 1 (* (pow (+ x z) 3) (pow (- x z) 3))))) (/ 1 (* (pow (+ x z) 2) (pow (- x z) 2))))) (/ 1 (* (+ x z) (- x z))))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ (+ 1 (* -1 (/ (* (+ x z) (- x z)) (pow y 2)))) (pow y 2))> |
#<alt (/ (- (+ 1 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4))) (/ (* (+ x z) (- x z)) (pow y 2))) (pow y 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (* (pow (+ x z) 3) (pow (- x z) 3)) (pow y 6)))) (+ (* -1 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4))) (/ (* (+ x z) (- x z)) (pow y 2)))) (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ (+ 1 (* -1 (/ (* (+ x z) (- x z)) (pow y 2)))) (pow y 2))> |
#<alt (/ (- (+ 1 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4))) (/ (* (+ x z) (- x z)) (pow y 2))) (pow y 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (* (pow (+ x z) 3) (pow (- x z) 3)) (pow y 6)))) (+ (* -1 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4))) (/ (* (+ x z) (- x z)) (pow y 2)))) (pow y 2))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | 0 | (/ 1 (+ (* (+ x z) (- x z)) (* y y))) |
| 1.0ms | x | @ | 0 | (/ 1 (+ (* (+ x z) (- x z)) (* y y))) |
| 1.0ms | x | @ | -inf | (+ (* (+ x z) (- x z)) (* y y)) |
| 1.0ms | z | @ | 0 | (/ 1 (+ (* (+ x z) (- x z)) (* y y))) |
| 1.0ms | y | @ | 0 | (sqrt (+ (* z z) (* y y))) |
| 1× | batch-egg-rewrite |
| 6 138× | accelerator-lowering-fma.f32 |
| 6 138× | accelerator-lowering-fma.f64 |
| 4 182× | *-lowering-*.f32 |
| 4 182× | *-lowering-*.f64 |
| 3 686× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 83 |
| 1 | 116 | 77 |
| 2 | 1016 | 77 |
| 0 | 8259 | 63 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (* (+ x z) (- x z)) (* y y)) (/ 1 (+ (* (+ x z) (- x z)) (* y y)))) |
(* (+ (* z z) (+ (* x x) (* y y))) (* (+ (* (+ x z) (- x z)) (* y y)) (/ 1 (+ (* (+ x z) (- x z)) (* y y))))) |
(sqrt (* (+ (* z z) (+ (* x x) (* y y))) (* (+ (* (+ x z) (- x z)) (* y y)) (/ 1 (+ (* (+ x z) (- x z)) (* y y)))))) |
(+ (* z z) (+ (* x x) (* y y))) |
(sqrt (+ (* z z) (* y y))) |
(+ (* z z) (* y y)) |
(* y y) |
(+ (* (+ x z) (- x z)) (* y y)) |
(/ 1 (+ (* (+ x z) (- x z)) (* y y))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(+.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z))) |
(+.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) |
(+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) |
(+.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(+.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x)) |
(+.f64 (fma.f64 z z (*.f64 y y)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (fma.f64 x x (*.f64 z z)) (*.f64 y y)) |
(+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))) (neg.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 z z (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) (*.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) (*.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) (*.f64 y y)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) (*.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) (*.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) (*.f64 (+.f64 x z) (-.f64 x z))))) |
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(-.f64 (/.f64 (fma.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 y y)) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y))))) (/.f64 (*.f64 y y) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))) |
(fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))) |
(fma.f64 (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 x z) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))) |
(fma.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 x z) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 x z) (-.f64 x z)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y))))) (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) |
(/.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(/.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))) |
(pow.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) |
(*.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y))))) (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 4 894× | accelerator-lowering-fma.f32 |
| 4 894× | accelerator-lowering-fma.f64 |
| 3 612× | *-lowering-*.f32 |
| 3 612× | *-lowering-*.f64 |
| 2 734× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 522 | 4284 |
| 1 | 1625 | 3949 |
| 2 | 6825 | 3838 |
| 0 | 8391 | 3459 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(pow z 2) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(+ (pow y 2) (pow z 2)) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(+ (pow x 2) (pow z 2)) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(sqrt (+ (pow x 2) (pow y 2))) |
(+ (sqrt (+ (pow x 2) (pow y 2))) (* 1/2 (* (pow z 2) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))))) |
(+ (sqrt (+ (pow x 2) (pow y 2))) (* (pow z 2) (+ (* -1/8 (* (pow z 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))))) |
(+ (sqrt (+ (pow x 2) (pow y 2))) (* (pow z 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) (* (pow z 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3)))) (* 1/16 (* (pow z 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)))))))))) |
z |
(* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) |
(* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))) |
(* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow y 2)) 3) (pow z 6))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))) |
(* -1 (* z (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow y 2)) 2) (pow z 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow y 2)) 3) (pow z 6))) (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))))) |
(sqrt (+ (pow y 2) (pow z 2))) |
(+ (sqrt (+ (pow y 2) (pow z 2))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (+ (pow y 2) (pow z 2))))))) |
(+ (sqrt (+ (pow y 2) (pow z 2))) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))))) |
(+ (sqrt (+ (pow y 2) (pow z 2))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 5)))))))))) |
x |
(* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (+ (* 1/16 (/ (pow (+ (pow y 2) (pow z 2)) 3) (pow x 6))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow (+ (pow y 2) (pow z 2)) 2) (pow x 4))) (+ (* 1/16 (/ (pow (+ (pow y 2) (pow z 2)) 3) (pow x 6))) (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))))) |
(sqrt (+ (pow x 2) (pow z 2))) |
(+ (sqrt (+ (pow x 2) (pow z 2))) (* 1/2 (* (pow y 2) (sqrt (/ 1 (+ (pow x 2) (pow z 2))))))) |
(+ (sqrt (+ (pow x 2) (pow z 2))) (* (pow y 2) (+ (* -1/8 (* (pow y 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))))) (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))))) |
(+ (sqrt (+ (pow x 2) (pow z 2))) (* (pow y 2) (+ (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) (* (pow y 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3)))) (* 1/16 (* (pow y 2) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 5)))))))))) |
y |
(* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow z 2)) 3) (pow y 6))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow (+ (pow x 2) (pow z 2)) 2) (pow y 4))) (+ (* 1/16 (/ (pow (+ (pow x 2) (pow z 2)) 3) (pow y 6))) (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))))) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(pow z 2) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(+ (pow y 2) (pow z 2)) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(+ (pow x 2) (pow z 2)) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
y |
(+ y (* 1/2 (/ (pow z 2) y))) |
(+ y (* (pow z 2) (+ (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow z 2) (+ (* (pow z 2) (- (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
z |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (* 1/2 (/ (pow y 2) (pow z 2)))))) |
(* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (+ (* 1/16 (/ (pow y 6) (pow z 6))) (* 1/2 (/ (pow y 2) (pow z 2))))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (* 1/2 (/ (pow y 2) (pow z 2))))))) |
(* -1 (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (+ (* 1/16 (/ (pow y 6) (pow z 6))) (* 1/2 (/ (pow y 2) (pow z 2)))))))) |
z |
(+ z (* 1/2 (/ (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow z 3))) (* 1/2 (/ 1 z))))) |
(+ z (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow z 5))) (* 1/8 (/ 1 (pow z 3))))) (* 1/2 (/ 1 z))))) |
y |
(* y (+ 1 (* 1/2 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* 1/2 (/ (pow z 2) (pow y 2)))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (+ (* 1/16 (/ (pow z 6) (pow y 6))) (* 1/2 (/ (pow z 2) (pow y 2))))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow z 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* 1/2 (/ (pow z 2) (pow y 2))))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (+ (* 1/16 (/ (pow z 6) (pow y 6))) (* 1/2 (/ (pow z 2) (pow y 2)))))))) |
(pow y 2) |
(+ (pow y 2) (pow z 2)) |
(+ (pow y 2) (pow z 2)) |
(+ (pow y 2) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2)))) |
(pow z 2) |
(+ (pow y 2) (pow z 2)) |
(+ (pow y 2) (pow z 2)) |
(+ (pow y 2) (pow z 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(+ (* -1 (pow z 2)) (pow y 2)) |
(+ (* -1 (pow z 2)) (+ (* x (+ z (* -1 z))) (pow y 2))) |
(+ (* -1 (pow z 2)) (+ (* x (+ x (+ z (* -1 z)))) (pow y 2))) |
(+ (* -1 (pow z 2)) (+ (* x (+ x (+ z (* -1 z)))) (pow y 2))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ z x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ z x) (/ (pow y 2) (pow x 2))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow y 2)) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow y 2)) x))) x)))) |
(+ (pow x 2) (pow y 2)) |
(+ (* z (+ x (* -1 x))) (+ (pow x 2) (pow y 2))) |
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (+ (pow x 2) (pow y 2))) |
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (+ (pow x 2) (pow y 2))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1)) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1)) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 (/ (+ x (* -1 x)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1)) |
(* (+ x z) (- x z)) |
(+ (* (+ x z) (- x z)) (pow y 2)) |
(+ (* (+ x z) (- x z)) (pow y 2)) |
(+ (* (+ x z) (- x z)) (pow y 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(/ 1 (+ (* -1 (pow z 2)) (pow y 2))) |
(+ (* -1 (* x (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow y 2)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2)))) (+ (* -1 (pow z 2)) (pow y 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow y 2)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2)))) (+ (* -1 (pow z 2)) (pow y 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow y 2)) 2)))) (+ (* -1 (pow z 2)) (pow y 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (+ (* -1 (pow z 2)) (pow y 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2)))) (+ (* -1 (pow z 2)) (pow y 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow y 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow y 2)))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) x))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow y 2))) (pow x 2)))) (+ (* -1 (/ z x)) (/ z x))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow y 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow y 2))))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow x 2))) (+ (/ z x) (/ (pow y 2) (pow x 2))))))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) x)) (/ (pow y 2) x))) (* -1 (+ z (* -1 z)))) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow y 2)))) x) (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow y 2))) x)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow y 2)))) x)) (* -1 (+ z (* -1 z)))) x))) (pow x 2)) |
(/ 1 (+ (pow x 2) (pow y 2))) |
(+ (* -1 (* z (+ (* -1 (/ x (pow (+ (pow x 2) (pow y 2)) 2))) (/ x (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2)))) |
(+ (* z (- (* z (- (/ 1 (pow (+ (pow x 2) (pow y 2)) 2)) (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (/ x (pow (+ (pow x 2) (pow y 2)) 2))) (/ x (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (* -1 (/ x (pow (+ (pow x 2) (pow y 2)) 2))) (/ x (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2)))) |
(+ (* z (- (* z (- (+ (* -1 (* z (+ (* -1 (/ x (pow (+ (pow x 2) (pow y 2)) 3))) (+ (/ x (pow (+ (pow x 2) (pow y 2)) 3)) (/ (* (+ x (* -1 x)) (- (/ 1 (pow (+ (pow x 2) (pow y 2)) 2)) (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (/ x (pow (+ (pow x 2) (pow y 2)) 2))) (/ x (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (pow x 2) (pow y 2))))))) (/ 1 (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (/ x (pow (+ (pow x 2) (pow y 2)) 2))) (/ x (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (* -1 (/ x (pow (+ (pow x 2) (pow y 2)) 2))) (/ x (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2)))) |
(/ -1 (pow z 2)) |
(/ (- (* -1 (/ (+ x (* -1 x)) z)) 1) (pow z 2)) |
(/ (- (* -1 (/ (+ (pow x 2) (+ (pow y 2) (pow (+ x (* -1 x)) 2))) (pow z 2))) (+ 1 (+ (* -1 (/ x z)) (/ x z)))) (pow z 2)) |
(/ (- (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (+ (pow y 2) (pow (+ x (* -1 x)) 2)))) (* (+ x (* -1 x)) (+ (pow x 2) (pow y 2)))) (pow z 3))) (+ 1 (+ (* -1 (/ x z)) (+ (/ x z) (+ (/ (pow x 2) (pow z 2)) (+ (/ (pow y 2) (pow z 2)) (/ (pow (+ x (* -1 x)) 2) (pow z 2)))))))) (pow z 2)) |
(/ -1 (pow z 2)) |
(/ (- (+ (* -1 (/ x z)) (/ x z)) 1) (pow z 2)) |
(/ (- (* -1 (/ (- (+ (/ (pow x 2) z) (+ (/ (pow y 2) z) (/ (pow (+ x (* -1 x)) 2) z))) (+ x (* -1 x))) z)) 1) (pow z 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (+ (pow y 2) (pow (+ x (* -1 x)) 2)))) z) (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow y 2))) z)) (+ (pow x 2) (+ (pow y 2) (pow (+ x (* -1 x)) 2)))) z)) (+ x (* -1 x))) z)) 1) (pow z 2)) |
(/ 1 (* (+ x z) (- x z))) |
(+ (* -1 (/ (pow y 2) (* (pow (+ x z) 2) (pow (- x z) 2)))) (/ 1 (* (+ x z) (- x z)))) |
(+ (* (pow y 2) (- (/ (pow y 2) (* (pow (+ x z) 3) (pow (- x z) 3))) (/ 1 (* (pow (+ x z) 2) (pow (- x z) 2))))) (/ 1 (* (+ x z) (- x z)))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) (* (pow (+ x z) 4) (pow (- x z) 4)))) (/ 1 (* (pow (+ x z) 3) (pow (- x z) 3))))) (/ 1 (* (pow (+ x z) 2) (pow (- x z) 2))))) (/ 1 (* (+ x z) (- x z)))) |
(/ 1 (pow y 2)) |
(/ (+ 1 (* -1 (/ (* (+ x z) (- x z)) (pow y 2)))) (pow y 2)) |
(/ (- (+ 1 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4))) (/ (* (+ x z) (- x z)) (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (* -1 (/ (* (pow (+ x z) 3) (pow (- x z) 3)) (pow y 6)))) (+ (* -1 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4))) (/ (* (+ x z) (- x z)) (pow y 2)))) (pow y 2)) |
(/ 1 (pow y 2)) |
(/ (+ 1 (* -1 (/ (* (+ x z) (- x z)) (pow y 2)))) (pow y 2)) |
(/ (- (+ 1 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4))) (/ (* (+ x z) (- x z)) (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (* -1 (/ (* (pow (+ x z) 3) (pow (- x z) 3)) (pow y 6)))) (+ (* -1 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4))) (/ (* (+ x z) (- x z)) (pow y 2)))) (pow y 2)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(pow z 2) |
(fma.f64 z z #s(literal 0 binary64)) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x (/.f64 x (fma.f64 z z #s(literal 0 binary64))) (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x (/.f64 x (fma.f64 z z #s(literal 0 binary64))) (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x (/.f64 x (fma.f64 z z #s(literal 0 binary64))) (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(pow z 2) |
(fma.f64 z z #s(literal 0 binary64)) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x (/.f64 x (fma.f64 z z #s(literal 0 binary64))) (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x (/.f64 x (fma.f64 z z #s(literal 0 binary64))) (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x (/.f64 x (fma.f64 z z #s(literal 0 binary64))) (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(+ (pow y 2) (pow z 2)) |
(fma.f64 y y (fma.f64 z z #s(literal 0 binary64))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 z (/.f64 z (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 z (/.f64 z (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 z (/.f64 z (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 z (/.f64 z (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 z (/.f64 z (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 z (/.f64 z (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(+ (pow x 2) (pow z 2)) |
(fma.f64 x x (fma.f64 z z #s(literal 0 binary64))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 z (/.f64 z (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
(*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 z (/.f64 z (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64)))) |
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x |
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(* -1 x) |
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(sqrt (+ (pow x 2) (pow z 2))) |
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y |
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(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(pow z 2) |
(fma.f64 z z #s(literal 0 binary64)) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x (/.f64 x (fma.f64 z z #s(literal 0 binary64))) (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
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(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
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(pow z 2) |
(fma.f64 z z #s(literal 0 binary64)) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x (/.f64 x (fma.f64 z z #s(literal 0 binary64))) (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
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(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) |
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(+ (pow y 2) (pow z 2)) |
(fma.f64 y y (fma.f64 z z #s(literal 0 binary64))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
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(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
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(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
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(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
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(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
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(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2))))) |
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(+ (pow x 2) (pow z 2)) |
(fma.f64 x x (fma.f64 z z #s(literal 0 binary64))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(+ (pow x 2) (+ (pow y 2) (pow z 2))) |
(fma.f64 x x (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) |
(pow y 2) |
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(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
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(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
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(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))) |
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y |
(+ y (* 1/2 (/ (pow z 2) y))) |
(fma.f64 z (*.f64 z (/.f64 #s(literal 1/2 binary64) y)) y) |
(+ y (* (pow z 2) (+ (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
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(+ y (* (pow z 2) (+ (* (pow z 2) (- (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
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z |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
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(* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (+ (* 1/16 (/ (pow y 6) (pow z 6))) (* 1/2 (/ (pow y 2) (pow z 2))))))) |
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(* -1 (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (+ (* 1/16 (/ (pow y 6) (pow z 6))) (* 1/2 (/ (pow y 2) (pow z 2)))))))) |
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z |
(+ z (* 1/2 (/ (pow y 2) z))) |
(fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) z) |
(+ z (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow z 3))) (* 1/2 (/ 1 z))))) |
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(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(+ (pow y 2) (pow z 2)) |
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(+ (pow y 2) (pow z 2)) |
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(+ (pow y 2) (pow z 2)) |
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(pow z 2) |
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(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2)))) |
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(pow z 2) |
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(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2)))) |
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(pow z 2) |
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(+ (pow y 2) (pow z 2)) |
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(+ (pow y 2) (pow z 2)) |
(fma.f64 y y (fma.f64 z z #s(literal 0 binary64))) |
(+ (pow y 2) (pow z 2)) |
(fma.f64 y y (fma.f64 z z #s(literal 0 binary64))) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 z (/.f64 z (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64))) |
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2)))) |
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(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2)))) |
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(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2)))) |
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(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
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(pow y 2) |
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(pow y 2) |
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(pow y 2) |
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(pow y 2) |
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(pow y 2) |
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(pow y 2) |
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(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(+ (* -1 (pow z 2)) (pow y 2)) |
(fma.f64 (+.f64 y z) (-.f64 y z) #s(literal 0 binary64)) |
(+ (* -1 (pow z 2)) (+ (* x (+ z (* -1 z))) (pow y 2))) |
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(+ (* -1 (pow z 2)) (+ (* x (+ x (+ z (* -1 z)))) (pow y 2))) |
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(pow x 2) |
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(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x)))) |
(fma.f64 x x #s(literal 0 binary64)) |
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(/.f64 (-.f64 (fma.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (/.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(/ (- (+ 1 (* -1 (/ (* (pow (+ x z) 3) (pow (- x z) 3)) (pow y 6)))) (+ (* -1 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4))) (/ (* (+ x z) (- x z)) (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (+.f64 x z))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (fma.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (/.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64))) |
Compiled 44 244 to 2 793 computations (93.7% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 033 | 3 | 1 036 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 0 | 0 |
| Total | 1 034 | 5 | 1 039 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.5% | (fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) z) |
| ▶ | 100.0% | (hypot.f64 z y) |
| ▶ | 96.3% | (*.f64 z (fma.f64 (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
| ✓ | 43.1% | (sqrt.f64 (fma.f64 z z (*.f64 y y))) |
| ✓ | 97.9% | z |
Compiled 48 to 31 computations (35.4% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) z) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) z) |
| ✓ | cost-diff | 5056 | (hypot.f64 z y) |
| ✓ | cost-diff | 0 | (/.f64 y (fma.f64 z z #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 704 | (*.f64 z (fma.f64 (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
| 4 488× | *-lowering-*.f32 |
| 4 488× | *-lowering-*.f64 |
| 3 052× | /-lowering-/.f32 |
| 3 052× | /-lowering-/.f64 |
| 1 830× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 78 |
| 1 | 44 | 78 |
| 2 | 91 | 78 |
| 3 | 258 | 78 |
| 4 | 648 | 70 |
| 5 | 1015 | 70 |
| 6 | 1314 | 70 |
| 7 | 3197 | 70 |
| 8 | 3662 | 70 |
| 9 | 3713 | 70 |
| 10 | 3758 | 70 |
| 11 | 3828 | 70 |
| 12 | 3941 | 70 |
| 13 | 5054 | 70 |
| 14 | 5481 | 70 |
| 15 | 5877 | 70 |
| 16 | 6307 | 70 |
| 17 | 6772 | 70 |
| 18 | 7322 | 70 |
| 19 | 7828 | 70 |
| 0 | 8037 | 62 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (+ (* (+ (* y (/ y (+ (* z z) 0))) 0) 1/2) 1)) |
z |
(+ (* (+ (* y (/ y (+ (* z z) 0))) 0) 1/2) 1) |
(+ (* y (/ y (+ (* z z) 0))) 0) |
y |
(/ y (+ (* z z) 0)) |
(+ (* z z) 0) |
0 |
1/2 |
1 |
(sqrt (+ (* z z) (* y y))) |
z |
y |
(+ (* y (* y (/ 1/2 z))) z) |
y |
(* y (/ 1/2 z)) |
(/ 1/2 z) |
1/2 |
z |
| Outputs |
|---|
(* z (+ (* (+ (* y (/ y (+ (* z z) 0))) 0) 1/2) 1)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y z) #s(literal 0 binary64)) z) |
z |
(+ (* (+ (* y (/ y (+ (* z z) 0))) 0) 1/2) 1) |
(fma.f64 (/.f64 y (fma.f64 z z #s(literal 0 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(+ (* y (/ y (+ (* z z) 0))) 0) |
(fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) |
y |
(/ y (+ (* z z) 0)) |
(/.f64 y (fma.f64 z z #s(literal 0 binary64))) |
(+ (* z z) 0) |
(fma.f64 z z #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1 |
#s(literal 1 binary64) |
(sqrt (+ (* z z) (* y y))) |
(sqrt.f64 (fma.f64 z z (fma.f64 y y #s(literal 0 binary64)))) |
z |
y |
(+ (* y (* y (/ 1/2 z))) z) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y z) #s(literal 0 binary64)) z) |
y |
(* y (/ 1/2 z)) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) z) #s(literal 0 binary64)) |
(/ 1/2 z) |
(/.f64 #s(literal 1/2 binary64) z) |
1/2 |
#s(literal 1/2 binary64) |
z |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) z) |
| ✓ | accuracy | 100.0% | (fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) z) |
| ✓ | accuracy | 99.6% | (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) |
| ✓ | accuracy | 100.0% | (hypot.f64 z y) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 z (fma.f64 (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
| ✓ | accuracy | 86.2% | (/.f64 y (fma.f64 z z #s(literal 0 binary64))) |
| ✓ | accuracy | 86.0% | (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) |
| 55.0ms | 256× | 0 | valid |
Compiled 76 to 21 computations (72.4% saved)
ival-add: 27.0ms (61.5% of total)ival-mult: 8.0ms (18.2% of total)ival-div: 4.0ms (9.1% of total)ival-hypot: 4.0ms (9.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* z (+ (* (+ (* y (/ y (+ (* z z) 0))) 0) 1/2) 1))> |
#<alt (+ (* (+ (* y (/ y (+ (* z z) 0))) 0) 1/2) 1)> |
#<alt (+ (* y (/ y (+ (* z z) 0))) 0)> |
#<alt (/ y (+ (* z z) 0))> |
#<alt (sqrt (+ (* z z) (* y y)))> |
#<alt (+ (* y (* y (/ 1/2 z))) z)> |
#<alt (/ 1/2 z)> |
#<alt (* y (/ 1/2 z))> |
| Outputs |
|---|
#<alt (* 1/2 (/ (pow y 2) z))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) z)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) z)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) z)> |
#<alt z> |
#<alt (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))> |
#<alt (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))> |
#<alt (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1)))> |
#<alt (* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1)))> |
#<alt (* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1)))> |
#<alt z> |
#<alt (+ z (* 1/2 (/ (pow y 2) z)))> |
#<alt (+ z (* 1/2 (/ (pow y 2) z)))> |
#<alt (+ z (* 1/2 (/ (pow y 2) z)))> |
#<alt (* 1/2 (/ (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* 1/2 (/ (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (* 1/2 (/ (pow y 2) (pow z 2)))> |
#<alt (* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2)))))> |
#<alt (* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2)))))> |
#<alt (* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2)))))> |
#<alt (* 1/2 (/ (pow y 2) (pow z 2)))> |
#<alt (* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2)))))> |
#<alt (* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2)))))> |
#<alt (* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2)))))> |
#<alt (* 1/2 (/ (pow y 2) (pow z 2)))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt (/ y (pow z 2))> |
#<alt y> |
#<alt (+ y (* 1/2 (/ (pow z 2) y)))> |
#<alt (+ y (* (pow z 2) (+ (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y)))))> |
#<alt (+ y (* (pow z 2) (+ (* (pow z 2) (- (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))> |
#<alt z> |
#<alt (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))> |
#<alt (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (* 1/2 (/ (pow y 2) (pow z 2))))))> |
#<alt (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (+ (* 1/16 (/ (pow y 6) (pow z 6))) (* 1/2 (/ (pow y 2) (pow z 2)))))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))))> |
#<alt (* -1 (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (* 1/2 (/ (pow y 2) (pow z 2)))))))> |
#<alt (* -1 (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (+ (* 1/16 (/ (pow y 6) (pow z 6))) (* 1/2 (/ (pow y 2) (pow z 2))))))))> |
#<alt z> |
#<alt (+ z (* 1/2 (/ (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow z 3))) (* 1/2 (/ 1 z)))))> |
#<alt (+ z (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow z 5))) (* 1/8 (/ 1 (pow z 3))))) (* 1/2 (/ 1 z)))))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/2 (/ (pow z 2) (pow y 2)))))> |
#<alt (* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* 1/2 (/ (pow z 2) (pow y 2))))))> |
#<alt (* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (+ (* 1/16 (/ (pow z 6) (pow y 6))) (* 1/2 (/ (pow z 2) (pow y 2)))))))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* 1/2 (/ (pow z 2) (pow y 2))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* 1/2 (/ (pow z 2) (pow y 2)))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (+ (* 1/16 (/ (pow z 6) (pow y 6))) (* 1/2 (/ (pow z 2) (pow y 2))))))))> |
#<alt z> |
#<alt (+ z (* 1/2 (/ (pow y 2) z)))> |
#<alt (+ z (* 1/2 (/ (pow y 2) z)))> |
#<alt (+ z (* 1/2 (/ (pow y 2) z)))> |
#<alt (* 1/2 (/ (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* 1/2 (/ (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* 1/2 (/ (pow y 2) z))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) z)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) z)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) z)> |
#<alt z> |
#<alt (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))> |
#<alt (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))> |
#<alt (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1)))> |
#<alt (* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1)))> |
#<alt (* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1)))> |
#<alt (/ 1/2 z)> |
#<alt (/ 1/2 z)> |
#<alt (/ 1/2 z)> |
#<alt (/ 1/2 z)> |
#<alt (/ 1/2 z)> |
#<alt (/ 1/2 z)> |
#<alt (/ 1/2 z)> |
#<alt (/ 1/2 z)> |
#<alt (/ 1/2 z)> |
#<alt (/ 1/2 z)> |
#<alt (/ 1/2 z)> |
#<alt (/ 1/2 z)> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
#<alt (* 1/2 (/ y z))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (+ (* y (* y (/ 1/2 z))) z) |
| 2.0ms | z | @ | 0 | (/ y (+ (* z z) 0)) |
| 1.0ms | z | @ | 0 | (* z (+ (* (+ (* y (/ y (+ (* z z) 0))) 0) 1/2) 1)) |
| 1.0ms | y | @ | inf | (* z (+ (* (+ (* y (/ y (+ (* z z) 0))) 0) 1/2) 1)) |
| 1.0ms | y | @ | 0 | (* z (+ (* (+ (* y (/ y (+ (* z z) 0))) 0) 1/2) 1)) |
| 1× | batch-egg-rewrite |
| 17 682× | accelerator-lowering-fma.f32 |
| 17 682× | accelerator-lowering-fma.f64 |
| 6 560× | *-lowering-*.f32 |
| 6 560× | *-lowering-*.f64 |
| 3 154× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 61 |
| 1 | 122 | 61 |
| 2 | 1095 | 55 |
| 0 | 9255 | 47 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (+ (* (+ (* y (/ y (+ (* z z) 0))) 0) 1/2) 1)) |
(+ (* (+ (* y (/ y (+ (* z z) 0))) 0) 1/2) 1) |
(+ (* y (/ y (+ (* z z) 0))) 0) |
(/ y (+ (* z z) 0)) |
(sqrt (+ (* z z) (* y y))) |
(+ (* y (* y (/ 1/2 z))) z) |
(/ 1/2 z) |
(* y (/ 1/2 z)) |
| Outputs |
|---|
(+.f64 z (fma.f64 z (fma.f64 (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 z (fma.f64 (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) z) |
(-.f64 (/.f64 (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (*.f64 z (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 z z #s(literal 0 binary64)))) #s(literal -1 binary64)))) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 z (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 z z #s(literal 0 binary64)))) #s(literal -1 binary64))))) |
(fma.f64 z (fma.f64 (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) z) |
(fma.f64 z #s(literal 1 binary64) (fma.f64 z (fma.f64 (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 y (*.f64 (/.f64 y (fma.f64 z z #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) z)) z) |
(fma.f64 y (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/2 binary64)) z) z) |
(fma.f64 (/.f64 y (fma.f64 z z #s(literal 0 binary64))) (*.f64 y (*.f64 #s(literal 1/2 binary64) z)) z) |
(fma.f64 (/.f64 y (fma.f64 z z #s(literal 0 binary64))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) z) z) |
(fma.f64 (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) z) z) |
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(/.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 z z (*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))))) |
(/.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))))) (neg.f64 (fma.f64 z z (*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z)))))) |
(/.f64 (+.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) z)) |
(/.f64 (-.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64))) (+.f64 z (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 z #s(literal -2 binary64))))) |
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(/.f64 (neg.f64 (+.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) z))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)))) (neg.f64 (+.f64 z (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 z #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))) (fma.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))) (*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z)))) (*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))))) (+.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) z) z)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) z) z)) |
(*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) z) z) (*.f64 (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))))) |
(*.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 z #s(literal -2 binary64)))) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64))))) |
(*.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z)))))) |
(*.f64 (fma.f64 z (+.f64 z (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 z #s(literal -2 binary64)))) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) z) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 z #s(literal -2 binary64)))) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 z (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 z #s(literal -2 binary64)))) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (+.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) z))) |
(*.f64 (-.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 z #s(literal -2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) z)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) z)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) z))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) z) |
(/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 2 binary64))) |
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z #s(literal -2 binary64))) |
(pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) z)) |
(*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) z) y)) |
(neg.f64 (*.f64 y (/.f64 #s(literal -1/2 binary64) z))) |
(neg.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) z))) |
(neg.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
(/.f64 y (*.f64 z #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal 2 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 z #s(literal -2 binary64))) |
(/.f64 (*.f64 y #s(literal 1/2 binary64)) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (neg.f64 (*.f64 y #s(literal -1/2 binary64))) z) |
(pow.f64 (/.f64 z (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal 2 binary64))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) z)) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
| 1× | egg-herbie |
| 22 120× | accelerator-lowering-fma.f32 |
| 22 120× | accelerator-lowering-fma.f64 |
| 4 966× | *-lowering-*.f32 |
| 4 966× | *-lowering-*.f64 |
| 2 550× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 1586 |
| 1 | 323 | 1586 |
| 2 | 1026 | 1584 |
| 3 | 3827 | 1430 |
| 4 | 7538 | 1430 |
| 0 | 8413 | 1344 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (pow y 2) z)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
z |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
z |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
z |
(+ z (* 1/2 (/ (pow y 2) z))) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(* 1/2 (/ (pow y 2) z)) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* 1/2 (/ (pow y 2) z)) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
1 |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(* 1/2 (/ (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(* 1/2 (/ (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(* 1/2 (/ (pow y 2) (pow z 2))) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2)) |
1 |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
1 |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
y |
(+ y (* 1/2 (/ (pow z 2) y))) |
(+ y (* (pow z 2) (+ (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow z 2) (+ (* (pow z 2) (- (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
z |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (* 1/2 (/ (pow y 2) (pow z 2)))))) |
(* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (+ (* 1/16 (/ (pow y 6) (pow z 6))) (* 1/2 (/ (pow y 2) (pow z 2))))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (* 1/2 (/ (pow y 2) (pow z 2))))))) |
(* -1 (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (+ (* 1/16 (/ (pow y 6) (pow z 6))) (* 1/2 (/ (pow y 2) (pow z 2)))))))) |
z |
(+ z (* 1/2 (/ (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow z 3))) (* 1/2 (/ 1 z))))) |
(+ z (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow z 5))) (* 1/8 (/ 1 (pow z 3))))) (* 1/2 (/ 1 z))))) |
y |
(* y (+ 1 (* 1/2 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* 1/2 (/ (pow z 2) (pow y 2)))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (+ (* 1/16 (/ (pow z 6) (pow y 6))) (* 1/2 (/ (pow z 2) (pow y 2))))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow z 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* 1/2 (/ (pow z 2) (pow y 2))))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (+ (* 1/16 (/ (pow z 6) (pow y 6))) (* 1/2 (/ (pow z 2) (pow y 2)))))))) |
z |
(+ z (* 1/2 (/ (pow y 2) z))) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(* 1/2 (/ (pow y 2) z)) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* 1/2 (/ (pow y 2) z)) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* 1/2 (/ (pow y 2) z)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
z |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
z |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(/ 1/2 z) |
(/ 1/2 z) |
(/ 1/2 z) |
(/ 1/2 z) |
(/ 1/2 z) |
(/ 1/2 z) |
(/ 1/2 z) |
(/ 1/2 z) |
(/ 1/2 z) |
(/ 1/2 z) |
(/ 1/2 z) |
(/ 1/2 z) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
(* 1/2 (/ y z)) |
| Outputs |
|---|
(* 1/2 (/ (pow y 2) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) z) |
z |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
z |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
z |
(+ z (* 1/2 (/ (pow y 2) z))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* 1/2 (/ (pow y 2) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* 1/2 (/ (pow y 2) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
(* 1/2 (/ (pow y 2) (pow z 2))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 z z)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
(* 1/2 (/ (pow y 2) (pow z 2))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 z z)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
(* 1/2 (/ (pow y 2) (pow z 2))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 z z)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) (*.f64 z z)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) (*.f64 z z)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) (*.f64 z z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) #s(literal 1 binary64)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ (pow y 2) (pow z 2)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
y |
(+ y (* 1/2 (/ (pow z 2) y))) |
(fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) z) y) y) |
(+ y (* (pow z 2) (+ (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(fma.f64 (/.f64 (*.f64 z z) y) (fma.f64 #s(literal -1/8 binary64) (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)) y) |
(+ y (* (pow z 2) (+ (* (pow z 2) (- (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(fma.f64 (*.f64 z z) (fma.f64 (*.f64 z z) (fma.f64 (*.f64 z z) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)) y) |
z |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (* 1/2 (/ (pow y 2) (pow z 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)))) |
(* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (+ (* 1/16 (/ (pow y 6) (pow z 6))) (* 1/2 (/ (pow y 2) (pow z 2))))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 z (*.f64 z (*.f64 z z)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64))))) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z)) |
(* -1 (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (* 1/2 (/ (pow y 2) (pow z 2))))))) |
(-.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) z)) |
(* -1 (* z (+ 1 (+ (* -1/8 (/ (pow y 4) (pow z 4))) (+ (* 1/16 (/ (pow y 6) (pow z 6))) (* 1/2 (/ (pow y 2) (pow z 2)))))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 z (*.f64 z (*.f64 z z)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)))))) |
z |
(+ z (* 1/2 (/ (pow y 2) z))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(+ z (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow z 3))) (* 1/2 (/ 1 z))))) |
(fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/8 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) z) |
(+ z (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow z 5))) (* 1/8 (/ 1 (pow z 3))))) (* 1/2 (/ 1 z))))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y #s(literal 1/16 binary64)) (/.f64 y (pow.f64 z #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1/2 binary64) z))) z) |
y |
(* y (+ 1 (* 1/2 (/ (pow z 2) (pow y 2))))) |
(fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) z) y) y) |
(* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* 1/2 (/ (pow z 2) (pow y 2)))))) |
(fma.f64 y (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) y)) |
(* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (+ (* 1/16 (/ (pow z 6) (pow y 6))) (* 1/2 (/ (pow z 2) (pow y 2))))))) |
(fma.f64 y (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) y)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow z 2) (pow y 2)))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) z) y) y)) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* 1/2 (/ (pow z 2) (pow y 2))))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) y))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow z 4) (pow y 4))) (+ (* 1/16 (/ (pow z 6) (pow y 6))) (* 1/2 (/ (pow z 2) (pow y 2)))))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) y))) |
z |
(+ z (* 1/2 (/ (pow y 2) z))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* 1/2 (/ (pow y 2) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* 1/2 (/ (pow y 2) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* 1/2 (/ (pow y 2) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) z) |
z |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
z |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) |
(/ 1/2 z) |
(/.f64 #s(literal 1/2 binary64) z) |
(/ 1/2 z) |
(/.f64 #s(literal 1/2 binary64) z) |
(/ 1/2 z) |
(/.f64 #s(literal 1/2 binary64) z) |
(/ 1/2 z) |
(/.f64 #s(literal 1/2 binary64) z) |
(/ 1/2 z) |
(/.f64 #s(literal 1/2 binary64) z) |
(/ 1/2 z) |
(/.f64 #s(literal 1/2 binary64) z) |
(/ 1/2 z) |
(/.f64 #s(literal 1/2 binary64) z) |
(/ 1/2 z) |
(/.f64 #s(literal 1/2 binary64) z) |
(/ 1/2 z) |
(/.f64 #s(literal 1/2 binary64) z) |
(/ 1/2 z) |
(/.f64 #s(literal 1/2 binary64) z) |
(/ 1/2 z) |
(/.f64 #s(literal 1/2 binary64) z) |
(/ 1/2 z) |
(/.f64 #s(literal 1/2 binary64) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* 1/2 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
Compiled 37 426 to 2 884 computations (92.3% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 064 | 2 | 1 066 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 2 | 2 |
| Total | 1 065 | 6 | 1 071 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.5% | (fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) z) |
| ▶ | 98.5% | (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y) z) |
| ✓ | 100.0% | (hypot.f64 z y) |
| ▶ | 81.6% | (*.f64 z (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
| ✓ | 43.1% | (sqrt.f64 (fma.f64 z z (*.f64 y y))) |
| ✓ | 97.9% | z |
Compiled 59 to 39 computations (33.9% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y) z) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) y) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y y) (*.f64 z z)) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 640 | (*.f64 z (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
| 5 344× | *-lowering-*.f32 |
| 5 344× | *-lowering-*.f64 |
| 3 636× | /-lowering-/.f32 |
| 3 636× | /-lowering-/.f64 |
| 1 836× | cube-div |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 73 |
| 1 | 43 | 69 |
| 2 | 108 | 69 |
| 3 | 381 | 61 |
| 4 | 963 | 61 |
| 5 | 1391 | 61 |
| 6 | 2618 | 61 |
| 7 | 3082 | 61 |
| 8 | 3148 | 61 |
| 9 | 3218 | 61 |
| 10 | 3331 | 61 |
| 11 | 3555 | 61 |
| 12 | 4518 | 61 |
| 13 | 5177 | 61 |
| 14 | 5823 | 61 |
| 15 | 6583 | 61 |
| 16 | 7390 | 61 |
| 17 | 7958 | 61 |
| 0 | 8022 | 58 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (+ (* (/ (* y y) (* z z)) 1/2) 1)) |
z |
(+ (* (/ (* y y) (* z z)) 1/2) 1) |
(/ (* y y) (* z z)) |
(* y y) |
y |
(* z z) |
1/2 |
1 |
(+ (* 1/2 (* (* (/ 1 z) y) y)) z) |
1/2 |
(* (* (/ 1 z) y) y) |
(* (/ 1 z) y) |
(/ 1 z) |
1 |
z |
y |
| Outputs |
|---|
(* z (+ (* (/ (* y y) (* z z)) 1/2) 1)) |
(fma.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) z) |
z |
(+ (* (/ (* y y) (* z z)) 1/2) 1) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal 1 binary64)) |
(/ (* y y) (* z z)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(* y y) |
(*.f64 y y) |
y |
(* z z) |
(*.f64 z z) |
1/2 |
#s(literal 1/2 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* 1/2 (* (* (/ 1 z) y) y)) z) |
(fma.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) z) |
1/2 |
#s(literal 1/2 binary64) |
(* (* (/ 1 z) y) y) |
(/.f64 (*.f64 y y) z) |
(* (/ 1 z) y) |
(/.f64 y z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
1 |
#s(literal 1 binary64) |
z |
y |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y) z) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) z) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) z) y) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 z (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
| ✓ | accuracy | 69.3% | (/.f64 (*.f64 y y) (*.f64 z z)) |
| 30.0ms | 256× | 0 | valid |
Compiled 70 to 18 computations (74.3% saved)
ival-mult: 10.0ms (62.2% of total)ival-div: 3.0ms (18.6% of total)ival-add: 2.0ms (12.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* z (+ (* (/ (* y y) (* z z)) 1/2) 1))> |
#<alt (+ (* (/ (* y y) (* z z)) 1/2) 1)> |
#<alt (/ (* y y) (* z z))> |
#<alt (* y y)> |
#<alt (* (/ 1 z) y)> |
#<alt (+ (* 1/2 (* (* (/ 1 z) y) y)) z)> |
#<alt (* (* (/ 1 z) y) y)> |
#<alt (/ 1 z)> |
| Outputs |
|---|
#<alt (* 1/2 (/ (pow y 2) z))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) z)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) z)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) z)> |
#<alt z> |
#<alt (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))> |
#<alt (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))> |
#<alt (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1)))> |
#<alt (* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1)))> |
#<alt (* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1)))> |
#<alt z> |
#<alt (+ z (* 1/2 (/ (pow y 2) z)))> |
#<alt (+ z (* 1/2 (/ (pow y 2) z)))> |
#<alt (+ z (* 1/2 (/ (pow y 2) z)))> |
#<alt (* 1/2 (/ (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* 1/2 (/ (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (* 1/2 (/ (pow y 2) (pow z 2)))> |
#<alt (* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2)))))> |
#<alt (* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2)))))> |
#<alt (* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2)))))> |
#<alt (* 1/2 (/ (pow y 2) (pow z 2)))> |
#<alt (* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2)))))> |
#<alt (* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2)))))> |
#<alt (* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2)))))> |
#<alt (* 1/2 (/ (pow y 2) (pow z 2)))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (/ (pow y 2) (pow z 2))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (* 1/2 (/ (pow y 2) z))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) z)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) z)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (pow z 2)) z)> |
#<alt z> |
#<alt (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))> |
#<alt (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))> |
#<alt (* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1)))> |
#<alt (* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1)))> |
#<alt (* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1)))> |
#<alt z> |
#<alt (+ z (* 1/2 (/ (pow y 2) z)))> |
#<alt (+ z (* 1/2 (/ (pow y 2) z)))> |
#<alt (+ z (* 1/2 (/ (pow y 2) z)))> |
#<alt (* 1/2 (/ (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* 1/2 (/ (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2))))> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (* (/ 1 z) y) |
| 0.0ms | z | @ | -inf | (* (* (/ 1 z) y) y) |
| 0.0ms | z | @ | -inf | (* (/ 1 z) y) |
| 0.0ms | y | @ | inf | (* (/ 1 z) y) |
| 0.0ms | z | @ | -inf | (/ 1 z) |
| 1× | batch-egg-rewrite |
| 7 836× | accelerator-lowering-fma.f32 |
| 7 836× | accelerator-lowering-fma.f64 |
| 4 936× | *-lowering-*.f32 |
| 4 936× | *-lowering-*.f64 |
| 2 816× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 60 |
| 1 | 85 | 48 |
| 2 | 575 | 48 |
| 3 | 7165 | 48 |
| 0 | 8480 | 45 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (+ (* (/ (* y y) (* z z)) 1/2) 1)) |
(+ (* (/ (* y y) (* z z)) 1/2) 1) |
(/ (* y y) (* z z)) |
(* y y) |
(* (/ 1 z) y) |
(+ (* 1/2 (* (* (/ 1 z) y) y)) z) |
(* (* (/ 1 z) y) y) |
(/ 1 z) |
| Outputs |
|---|
(+.f64 z (/.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 z z))) |
(+.f64 (/.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 z z)) z) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal -1 binary64)))) (/.f64 (*.f64 z z) (*.f64 z (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal -1 binary64))))) |
(fma.f64 z (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 z z)) z) |
(fma.f64 z #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 z z))) |
(fma.f64 y (*.f64 (/.f64 y (*.f64 z z)) (*.f64 z #s(literal 1/2 binary64))) z) |
(fma.f64 y (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 z z)) z) z) |
(fma.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 z #s(literal 1/2 binary64))) z) |
(fma.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) z) z) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (*.f64 z #s(literal 1/2 binary64)) z) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 y y) z) (*.f64 z z)) z) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 z z)) z z) |
(fma.f64 #s(literal 1 binary64) z (/.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 z z))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 z z)) z) |
(fma.f64 (/.f64 (*.f64 y y) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal 1/2 binary64))) z) |
(fma.f64 (/.f64 (*.f64 y y) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) z) z) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z) (/.f64 z z) z) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 z z))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 z #s(literal 1/2 binary64))) z) |
(fma.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64) (/.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 z z))) |
(fma.f64 (/.f64 y z) (*.f64 (/.f64 y z) (*.f64 z #s(literal 1/2 binary64))) z) |
(fma.f64 (/.f64 y z) (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) z) z) |
(fma.f64 (*.f64 z (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) z) z) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) z) |
(fma.f64 (/.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 z z)) #s(literal 1 binary64) z) |
(fma.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) (*.f64 (/.f64 y z) z) z) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z) z) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (/.f64 z (*.f64 z z)) z) |
(fma.f64 (/.f64 y (*.f64 z z)) (*.f64 y (*.f64 z #s(literal 1/2 binary64))) z) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 y (*.f64 z z)) z) z) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) (*.f64 z z)) z) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) z) (*.f64 z z)) #s(literal 1/2 binary64) z) |
(fma.f64 (*.f64 z (/.f64 (*.f64 y y) z)) (/.f64 #s(literal 1/2 binary64) z) z) |
(fma.f64 (*.f64 z y) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 z z)) z) |
(fma.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z z)) z) |
(fma.f64 (*.f64 z (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) z) |
(fma.f64 (/.f64 z z) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z) z) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (/.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 z z))) |
(fma.f64 (*.f64 z (/.f64 y z)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) z) |
(fma.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 1/2 binary64)) z)) (/.f64 y z) z) |
(fma.f64 (*.f64 z (*.f64 y #s(literal 1/2 binary64))) (/.f64 y (*.f64 z z)) z) |
(fma.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) y) (/.f64 y (*.f64 z z)) z) |
(fma.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 z z)) z) |
(fma.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 y z)) (/.f64 y z) z) |
(fma.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y y) z) |
(fma.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 y (*.f64 z z))) y z) |
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal 1 binary64)))) |
(/.f64 z (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal 1 binary64))))) |
(/.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (/.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 z z))) (*.f64 (*.f64 z z) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 z (*.f64 z (*.f64 z z)))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 z (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (fma.f64 z (-.f64 z (/.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 z z))) (*.f64 (*.f64 z z) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 z (*.f64 z (*.f64 z z))))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (fma.f64 z z (-.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) z) (*.f64 z z))))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z z)) (*.f64 z (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 z (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) z) (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 z (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) z) (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 z (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) z) (*.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal -1 binary64))) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 z z)) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 z z) (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 z z))) |
(/.f64 (fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(/.f64 (fma.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) (*.f64 z z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (-.f64 #s(literal 0 binary64) z)) (*.f64 z z)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) (fma.f64 z z (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z)) |
(*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)))) |
(*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (-.f64 #s(literal 0 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (-.f64 #s(literal 0 binary64) z)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (-.f64 #s(literal 0 binary64) z)) (*.f64 z z)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (-.f64 #s(literal 0 binary64) z)) (*.f64 z z)) (*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (-.f64 #s(literal 0 binary64) z)) (*.f64 z z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (-.f64 #s(literal 0 binary64) z)) (*.f64 z z)) (/.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (-.f64 #s(literal 0 binary64) z)) (*.f64 z z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (-.f64 #s(literal 0 binary64) z)) (*.f64 z z))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (-.f64 #s(literal 0 binary64) z)) (*.f64 z z))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 z z))) |
(*.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 z z)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 z z))) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 z (+.f64 z (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) (*.f64 z (*.f64 (+.f64 z (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) (*.f64 z (+.f64 z (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))))))) (fma.f64 (*.f64 z (+.f64 z (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) (-.f64 (*.f64 z (+.f64 z (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (-.f64 #s(literal 0 binary64) z)) (*.f64 z z)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 z (+.f64 z (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 z (+.f64 z (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 z z)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 z z)))) (fma.f64 z (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 z z)))))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 z)))) |
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 z) (*.f64 #s(literal 2 binary64) (log.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z))) |
(/.f64 y (/.f64 z y)) |
(/.f64 (*.f64 y y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 y y)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) z) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1 binary64)) z) |
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 y z)) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y z) y) |
(*.f64 (/.f64 y z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z)) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (-.f64 #s(literal 0 binary64) z))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y y))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) z)) |
(*.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (*.f64 (*.f64 y y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z)) |
(pow.f64 z #s(literal -1 binary64)) |
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 3 328× | *-lowering-*.f32 |
| 3 328× | *-lowering-*.f64 |
| 2 496× | accelerator-lowering-fma.f32 |
| 2 496× | accelerator-lowering-fma.f64 |
| 1 908× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 1170 |
| 1 | 85 | 1170 |
| 2 | 207 | 1170 |
| 3 | 686 | 1050 |
| 4 | 2374 | 1050 |
| 5 | 5501 | 1050 |
| 0 | 8167 | 996 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (pow y 2) z)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
z |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
z |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
z |
(+ z (* 1/2 (/ (pow y 2) z))) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(* 1/2 (/ (pow y 2) z)) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* 1/2 (/ (pow y 2) z)) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
1 |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(* 1/2 (/ (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(* 1/2 (/ (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(* 1/2 (/ (pow y 2) (pow z 2))) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2)) |
1 |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
1 |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* 1/2 (/ (pow y 2) z)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
z |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
z |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
z |
(+ z (* 1/2 (/ (pow y 2) z))) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(* 1/2 (/ (pow y 2) z)) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* 1/2 (/ (pow y 2) z)) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
| Outputs |
|---|
(* 1/2 (/ (pow y 2) z)) |
(fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) #s(literal 0 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) z) |
z |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
z |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
z |
(+ z (* 1/2 (/ (pow y 2) z))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* 1/2 (/ (pow y 2) z)) |
(fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) #s(literal 0 binary64)) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* 1/2 (/ (pow y 2) z)) |
(fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) #s(literal 0 binary64)) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
(* 1/2 (/ (pow y 2) (pow z 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z)))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
(* 1/2 (/ (pow y 2) (pow z 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z)))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (* 1/2 (/ 1 (pow z 2))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
(* 1/2 (/ (pow y 2) (pow z 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z)))) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) (*.f64 z z)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) (*.f64 z z)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) (pow z 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) (*.f64 z z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow y 2) (pow z 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/ (pow y 2) (pow z 2)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* 1/2 (/ (pow y 2) z)) |
(fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) #s(literal 0 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) z) |
(/ (+ (* 1/2 (pow y 2)) (pow z 2)) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z z)) z) |
z |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* z (+ 1 (* 1/2 (/ (pow y 2) (pow z 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
z |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* -1 (* z (- (* -1/2 (/ (pow y 2) (pow z 2))) 1))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
z |
(+ z (* 1/2 (/ (pow y 2) z))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(+ z (* 1/2 (/ (pow y 2) z))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* 1/2 (/ (pow y 2) z)) |
(fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) #s(literal 0 binary64)) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* 1/2 (/ (pow y 2) z)) |
(fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) #s(literal 0 binary64)) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ z (pow y 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
Compiled 15 511 to 1 371 computations (91.2% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 650 | 1 | 651 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 1 | 3 | 4 |
| Total | 652 | 5 | 657 |
| Status | Accuracy | Program |
|---|---|---|
| 98.5% | (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y z) y) z) | |
| ✓ | 100.0% | (hypot.f64 z y) |
| ✓ | 81.6% | (*.f64 z (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
| ✓ | 43.1% | (sqrt.f64 (fma.f64 z z (*.f64 y y))) |
| ✓ | 97.9% | z |
Compiled 158 to 72 computations (54.4% saved)
| Inputs |
|---|
z |
(sqrt.f64 (fma.f64 z z (*.f64 y y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y z) y) z) |
(fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) z) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y) z) |
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
(*.f64 z (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 z (fma.f64 (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))))) |
(hypot.f64 z y) |
| Outputs |
|---|
(hypot.f64 z y) |
9 calls:
| 49.0ms | (*.f64 z z) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| 3.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 100.0% | 1 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 100.0% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 100.0% | 1 | (*.f64 x x) |
| 100.0% | 1 | (*.f64 y y) |
| 100.0% | 1 | (*.f64 z z) |
Compiled 69 to 44 computations (36.2% saved)
| Inputs |
|---|
z |
(sqrt.f64 (fma.f64 z z (*.f64 y y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y z) y) z) |
(fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) z) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y) z) |
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
(*.f64 z (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 z (fma.f64 (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)))))) |
| Outputs |
|---|
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y z) y) z) |
9 calls:
| 5.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.f64 y y) |
| 3.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | y |
| 98.5% | 1 | z |
| 98.5% | 1 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 98.5% | 1 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 98.5% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 98.5% | 1 | (*.f64 x x) |
| 98.5% | 1 | (*.f64 y y) |
| 98.5% | 1 | (*.f64 z z) |
Compiled 69 to 44 computations (36.2% saved)
Total -35.8b remaining (-2639.2%)
Threshold costs -35.8b (-2639.2%)
| Inputs |
|---|
z |
(sqrt.f64 (fma.f64 z z (*.f64 y y))) |
| Outputs |
|---|
z |
9 calls:
| 28.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 1.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
| 97.9% | 1 | y |
| 97.9% | 1 | z |
| 97.9% | 1 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 97.9% | 1 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 97.9% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 97.9% | 1 | (*.f64 x x) |
| 97.9% | 1 | (*.f64 y y) |
| 97.9% | 1 | (*.f64 z z) |
Compiled 69 to 44 computations (36.2% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 1 | 8 | 12 |
| 1× | saturated |
| Inputs |
|---|
(hypot.f64 z y) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y z) y) z) |
z |
| Outputs |
|---|
(hypot.f64 z y) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y z) y) z) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y z)) z) |
z |
| 17 682× | accelerator-lowering-fma.f32 |
| 17 682× | accelerator-lowering-fma.f64 |
| 11 154× | accelerator-lowering-fma.f32 |
| 11 154× | accelerator-lowering-fma.f64 |
| 7 836× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 60 |
| 1 | 85 | 48 |
| 2 | 575 | 48 |
| 3 | 7165 | 48 |
| 0 | 8480 | 45 |
| 0 | 20 | 61 |
| 1 | 122 | 61 |
| 2 | 1095 | 55 |
| 0 | 9255 | 47 |
| 0 | 19 | 83 |
| 1 | 116 | 77 |
| 2 | 1016 | 77 |
| 0 | 8259 | 63 |
| 0 | 522 | 4284 |
| 1 | 1625 | 3949 |
| 2 | 6825 | 3838 |
| 0 | 8391 | 3459 |
| 0 | 183 | 1644 |
| 1 | 506 | 1644 |
| 2 | 1772 | 1641 |
| 3 | 4768 | 1539 |
| 0 | 8069 | 1308 |
| 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 |
Compiled 80 to 50 computations (37.5% saved)
Compiled 208 to 130 computations (37.5% saved)
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