
Time bar (total: 1.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 10 to 5 computations (50% saved)
| 342.0ms | 8 256× | 0 | valid |
ival-hypot: 189.0ms (99% of total)adjust: 1.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 131 | 0 | - | 1 | (-5.86928672142335e-159 -5.19212619882284e-291) | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) | oflow-rescue | 117 | 0 |
| ↳ | (*.f64 y y) | overflow | 74 | |
| ↳ | (*.f64 x x) | overflow | 58 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 117 | |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) | uflow-rescue | 13 | 0 |
| ↳ | (*.f64 y y) | underflow | 58 | |
| ↳ | (*.f64 x x) | underflow | 54 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | underflow | 13 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 130 | 1 |
| - | 0 | 125 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 130 | 0 | 1 |
| - | 0 | 0 | 125 |
| number | freq |
|---|---|
| 0 | 126 |
| 1 | 130 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 59.0ms | 512× | 0 | valid |
Compiled 58 to 22 computations (62.1% saved)
ival-hypot: 9.0ms (60.5% of total)ival-mult!: 5.0ms (33.6% of total)ival-add!: 1.0ms (6.7% of total)adjust: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 50 |
| 1 | 43 | 50 |
| 2 | 93 | 50 |
| 3 | 118 | 50 |
| 4 | 156 | 50 |
| 1× | saturated |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.6% | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
(abs x)
(abs y)
(sort x y)
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 y)) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* 1/2 (/ (pow x 2) y))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 x)) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))) |
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* 1/2 (/ (pow y 2) x))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))) |
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 y))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y) |
| 1.0ms | x | @ | 0 | ((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y) |
| 1.0ms | x | @ | -inf | ((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y) |
| 1.0ms | y | @ | inf | ((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y) |
| 1.0ms | y | @ | -inf | ((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 742 |
| 0 | 148 | 722 |
| 1 | 742 | 722 |
| 0 | 7664 | 562 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 y)) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* 1/2 (/ (pow x 2) y))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 x)) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))) |
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* 1/2 (/ (pow y 2) x))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))) |
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 y))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y (*.f64 x x)) #s(literal 1/4 binary64))) |
(pow.f64 (hypot.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y (*.f64 x x)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y (*.f64 x x)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) y) y)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) y) y)))) |
(/.f64 (hypot.f64 (pow.f64 (fabs.f64 y) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x) (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) y) (*.f64 (*.f64 (*.f64 x x) y) y))))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y (*.f64 x x))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) (*.f64 (fabs.f64 y) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1 binary64) (fabs.f64 y))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) (exp.f64 (log.f64 y))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) (fabs.f64 y)) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) y) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fabs.f64 y) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 y))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (exp.f64 (log.f64 y))) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 y)) |
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) y) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (exp.f64 (log.f64 x))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fabs.f64 x)) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) |
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (exp.f64 (log.f64 x))) |
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 x)) |
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) x) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fabs.f64 y))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (exp.f64 (log.f64 y))) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (fabs.f64 y)) |
(hypot.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) y) |
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fabs.f64 y))) |
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (exp.f64 (log.f64 y))) |
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x |
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y |
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#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
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#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1/8 binary64)) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1/8 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x)) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 (/.f64 y (pow.f64 x #s(literal 3/2 binary64))) (/.f64 y (pow.f64 x #s(literal 3/2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x))) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/16 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))) (*.f64 y y) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 y y) x)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx y y) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) y (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)) y))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)))) y)) |
#s(approx (+ (* x x) (* y y)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1 binary64) #s(literal 1 binary64)) y) y)) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (*.f64 #s(literal -1 binary64) y) (fma.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)))))) |
Compiled 4 899 to 837 computations (82.9% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 430 | 1 | 431 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 431 | 1 | 432 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (pow.f64 (hypot.f64 y x) #s(literal 1 binary64)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
(pow.f64 (hypot.f64 y x) #s(literal 1 binary64)) |
(hypot.f64 y x) |
y |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 y)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (+ y (* 1/2 (/ (pow x 2) y))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 y)) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ y (* 1/2 (/ (pow x 2) y))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 x)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 x)) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 x))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (+ x (* 1/2 (/ (pow y 2) x))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ x (* 1/2 (/ (pow y 2) x))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 y))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 y))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((pow (sqrt (+ (* y y) (* x x))) 1) (sqrt (+ (* y y) (* x x))) y x 1) |
| 0.0ms | y | @ | -inf | ((pow (sqrt (+ (* y y) (* x x))) 1) (sqrt (+ (* y y) (* x x))) y x 1) |
| 0.0ms | x | @ | -inf | ((pow (sqrt (+ (* y y) (* x x))) 1) (sqrt (+ (* y y) (* x x))) y x 1) |
| 0.0ms | y | @ | inf | ((pow (sqrt (+ (* y y) (* x x))) 1) (sqrt (+ (* y y) (* x x))) y x 1) |
| 0.0ms | x | @ | 0 | ((pow (sqrt (+ (* y y) (* x x))) 1) (sqrt (+ (* y y) (* x x))) y x 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 1081 |
| 0 | 154 | 995 |
| 1 | 715 | 995 |
| 0 | 7259 | 923 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(pow.f64 (hypot.f64 y x) #s(literal 1 binary64)) |
(hypot.f64 y x) |
y |
x |
#s(literal 1 binary64) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 y)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (+ y (* 1/2 (/ (pow x 2) y))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 y)) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ y (* 1/2 (/ (pow x 2) y))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 x)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 x)) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 x))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (+ x (* 1/2 (/ (pow y 2) x))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ x (* 1/2 (/ (pow y 2) x))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 y))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 y))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 (hypot.f64 x y) (hypot.f64 x y)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (hypot.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x (*.f64 y y)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x (*.f64 y y)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) x) x)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) x) x)))) |
(/.f64 (hypot.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (pow.f64 (fabs.f64 y) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 (fabs.f64 y) y) (*.f64 (fabs.f64 y) y) (-.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y y) x) x))))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x (*.f64 y y))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (exp.f64 (log.f64 y))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (fabs.f64 y)) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) y) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (exp.f64 (log.f64 y))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 y)) |
(hypot.f64 (neg.f64 (fabs.f64 x)) y) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) (fabs.f64 x)) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) x) |
(hypot.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 y)) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 y)) (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 x)) |
(hypot.f64 (neg.f64 (fabs.f64 y)) x) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (exp.f64 (log.f64 y))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 y)) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) y) |
(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 (fabs.f64 y)) (exp.f64 (log.f64 x))) |
(hypot.f64 (fabs.f64 (fabs.f64 y)) (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 x)) |
(hypot.f64 (fabs.f64 (fabs.f64 y)) x) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (exp.f64 (log.f64 x)) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y))) |
(hypot.f64 (exp.f64 (log.f64 x)) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (exp.f64 (log.f64 x)) (fabs.f64 y)) |
(hypot.f64 (exp.f64 (log.f64 x)) y) |
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 y)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 y)) (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 (exp.f64 (log.f64 y)) (fabs.f64 x)) |
(hypot.f64 (exp.f64 (log.f64 y)) x) |
(hypot.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) x) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) x) (exp.f64 (log.f64 y))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (*.f64 #s(literal -1 binary64) x) (fabs.f64 y)) |
(hypot.f64 (*.f64 #s(literal -1 binary64) x) y) |
(hypot.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) y) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) y) (exp.f64 (log.f64 x))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 (*.f64 #s(literal -1 binary64) y) (fabs.f64 x)) |
(hypot.f64 (*.f64 #s(literal -1 binary64) y) x) |
(hypot.f64 (fabs.f64 x) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (fabs.f64 x) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (fabs.f64 x) (exp.f64 (log.f64 y))) |
(hypot.f64 (fabs.f64 x) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (fabs.f64 x) (fabs.f64 y)) |
(hypot.f64 (fabs.f64 x) y) |
(hypot.f64 (fabs.f64 y) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (fabs.f64 y) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 y) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 y) (exp.f64 (log.f64 x))) |
(hypot.f64 (fabs.f64 y) (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 (fabs.f64 y) (fabs.f64 x)) |
(hypot.f64 (fabs.f64 y) x) |
(hypot.f64 x (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 x (neg.f64 (fabs.f64 y))) |
(hypot.f64 x (fabs.f64 (fabs.f64 y))) |
(hypot.f64 x (exp.f64 (log.f64 y))) |
(hypot.f64 x (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 x (fabs.f64 y)) |
(hypot.f64 x y) |
(hypot.f64 y (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 y (neg.f64 (fabs.f64 x))) |
(hypot.f64 y (fabs.f64 (fabs.f64 x))) |
(hypot.f64 y (exp.f64 (log.f64 x))) |
(hypot.f64 y (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 y (fabs.f64 x)) |
(hypot.f64 y x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x (*.f64 y y))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (hypot.f64 x y))) |
(+.f64 (cosh.f64 (log.f64 (hypot.f64 x y))) (sinh.f64 (log.f64 (hypot.f64 x y)))) |
(*.f64 (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 (hypot.f64 x y) (hypot.f64 x y)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (hypot.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x (*.f64 y y)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x (*.f64 y y)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) x) x)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) x) x)))) |
(/.f64 (hypot.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (pow.f64 (fabs.f64 y) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 (fabs.f64 y) y) (*.f64 (fabs.f64 y) y) (-.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y y) x) x))))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x (*.f64 y y))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (exp.f64 (log.f64 y))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (fabs.f64 y)) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) y) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (exp.f64 (log.f64 y))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 y)) |
(hypot.f64 (neg.f64 (fabs.f64 x)) y) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) (fabs.f64 x)) |
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) x) |
(hypot.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 y)) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 y)) (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 x)) |
(hypot.f64 (neg.f64 (fabs.f64 y)) x) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (exp.f64 (log.f64 y))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 y)) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) y) |
(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 (fabs.f64 y)) (exp.f64 (log.f64 x))) |
(hypot.f64 (fabs.f64 (fabs.f64 y)) (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 x)) |
(hypot.f64 (fabs.f64 (fabs.f64 y)) x) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (exp.f64 (log.f64 x)) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y))) |
(hypot.f64 (exp.f64 (log.f64 x)) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (exp.f64 (log.f64 x)) (fabs.f64 y)) |
(hypot.f64 (exp.f64 (log.f64 x)) y) |
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 y)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 y)) (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 (exp.f64 (log.f64 y)) (fabs.f64 x)) |
(hypot.f64 (exp.f64 (log.f64 y)) x) |
(hypot.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) x) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) x) (exp.f64 (log.f64 y))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (*.f64 #s(literal -1 binary64) x) (fabs.f64 y)) |
(hypot.f64 (*.f64 #s(literal -1 binary64) x) y) |
(hypot.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) y) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) y) (exp.f64 (log.f64 x))) |
(hypot.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 (*.f64 #s(literal -1 binary64) y) (fabs.f64 x)) |
(hypot.f64 (*.f64 #s(literal -1 binary64) y) x) |
(hypot.f64 (fabs.f64 x) (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 y))) |
(hypot.f64 (fabs.f64 x) (fabs.f64 (fabs.f64 y))) |
(hypot.f64 (fabs.f64 x) (exp.f64 (log.f64 y))) |
(hypot.f64 (fabs.f64 x) (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 (fabs.f64 x) (fabs.f64 y)) |
(hypot.f64 (fabs.f64 x) y) |
(hypot.f64 (fabs.f64 y) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 (fabs.f64 y) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 y) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 y) (exp.f64 (log.f64 x))) |
(hypot.f64 (fabs.f64 y) (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 (fabs.f64 y) (fabs.f64 x)) |
(hypot.f64 (fabs.f64 y) x) |
(hypot.f64 x (neg.f64 (*.f64 #s(literal -1 binary64) y))) |
(hypot.f64 x (neg.f64 (fabs.f64 y))) |
(hypot.f64 x (fabs.f64 (fabs.f64 y))) |
(hypot.f64 x (exp.f64 (log.f64 y))) |
(hypot.f64 x (*.f64 #s(literal -1 binary64) y)) |
(hypot.f64 x (fabs.f64 y)) |
(hypot.f64 x y) |
(hypot.f64 y (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(hypot.f64 y (neg.f64 (fabs.f64 x))) |
(hypot.f64 y (fabs.f64 (fabs.f64 x))) |
(hypot.f64 y (exp.f64 (log.f64 x))) |
(hypot.f64 y (*.f64 #s(literal -1 binary64) x)) |
(hypot.f64 y (fabs.f64 x)) |
(hypot.f64 y x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x (*.f64 y y))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (hypot.f64 x y))) |
(+.f64 (cosh.f64 (log.f64 (hypot.f64 x y))) (sinh.f64 (log.f64 (hypot.f64 x y)))) |
y |
x |
#s(literal 1 binary64) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) y) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) y)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) y))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) y))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) y) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) y)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) y))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) y))) |
#s(approx x x) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) x) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) y) x) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) x)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1/8 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))) x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) y) x) (/.f64 (*.f64 #s(literal -1 binary64) y) x))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1/8 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))))) x)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) x) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) y) x) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) x)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1/8 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))) x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) y) x) (/.f64 (*.f64 #s(literal -1 binary64) y) x))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1/8 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))))) x)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1/8 binary64)) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1/8 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1/8 binary64)) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1/8 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 (/.f64 y (pow.f64 x #s(literal 3/2 binary64))) (/.f64 y (pow.f64 x #s(literal 3/2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/16 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))) (*.f64 y y) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 y y) x)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 (/.f64 y (pow.f64 x #s(literal 3/2 binary64))) (/.f64 y (pow.f64 x #s(literal 3/2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/16 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))) (*.f64 y y) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 y y) x)) |
#s(approx y y) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) y)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (/.f64 (*.f64 x x) y) y)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) y)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) y) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) y))) (fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))))) y)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) y)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (/.f64 (*.f64 x x) y) y)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) y)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) y) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) y))) (fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))))) y)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 (*.f64 #s(literal -1 binary64) y) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (/.f64 (*.f64 x x) y) y)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) y) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) y))) (*.f64 #s(literal -1 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) y)))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (*.f64 (*.f64 #s(literal -1 binary64) y) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (/.f64 (*.f64 x x) y) y)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))))) |
#s(approx (pow (sqrt (+ (* y y) (* x x))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) y) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) y))) (*.f64 #s(literal -1 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) y)))) |
Compiled 1 649 to 286 computations (82.7% saved)
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 138 | 0 | 138 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 138 | 1 | 139 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (pow.f64 (hypot.f64 y x) #s(literal 1 binary64)) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
(pow.f64 (hypot.f64 y x) #s(literal 1 binary64)) |
| Outputs |
|---|
(pow.f64 (hypot.f64 y x) #s(literal 1 binary64)) |
6 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 1.0ms | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (*.f64 y y) |
| 100.0% | 1 | (*.f64 x x) |
| 100.0% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 100.0% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 23 to 21 computations (8.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| Outputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
6 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 1.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 1 | (*.f64 y y) |
| 52.6% | 1 | (*.f64 x x) |
| 52.6% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 52.6% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 52.6% | 1 | x |
| 52.6% | 1 | y |
Compiled 23 to 21 computations (8.7% saved)
| 1× | done |
Compiled 13 to 9 computations (30.8% saved)
(sort x y)
(abs y)
(abs x)
Compiled 120 to 96 computations (20% saved)
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