
Time bar (total: 2.4s)
| 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 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 66.7% | 49.9% | 25% | 0.1% | 0% | 25% | 0% | 7 |
| 66.7% | 49.9% | 25% | 0.1% | 0% | 25% | 0% | 8 |
| 66.7% | 49.9% | 25% | 0.1% | 0% | 25% | 0% | 9 |
| 80% | 49.9% | 12.5% | 0.1% | 0% | 37.4% | 0% | 10 |
| 80% | 49.9% | 12.5% | 0.1% | 0% | 37.4% | 0% | 11 |
| 80% | 49.9% | 12.5% | 0.1% | 0% | 37.4% | 0% | 12 |
Compiled 12 to 12 computations (0% saved)
| 512.0ms | 8 255× | 0 | valid |
| 107.0ms | 2 041× | 0 | invalid |
| 0.0ms | 1× | 1 | valid |
ival-sqrt: 133.0ms (45% of total)ival-mult!: 108.0ms (36.5% of total)ival-add!: 53.0ms (17.9% of total)adjust: 2.0ms (0.7% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 84 |
| 1 | 145 | 82 |
| 2 | 562 | 82 |
| 3 | 3661 | 82 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
Compiled 20 to 20 computations (0% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
x |
(*.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 1.0ms | z | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 1.0ms | x | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 1.0ms | y | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 1.0ms | x | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 473 |
| 0 | 110 | 452 |
| 1 | 465 | 433 |
| 0 | 3756 | 400 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
x |
(*.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) z))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 y y) z) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (sqrt.f64 z) y)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (sqrt.f64 z) y)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) y))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (sqrt.f64 z) y)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (sqrt.f64 z) y)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) z) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 y y) z (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) z))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) z) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) z)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) z) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) z (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) z) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (*.f64 (*.f64 y y) z) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (sqrt.f64 z) y)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(+.f64 (*.f64 (sqrt.f64 z) y) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z))) |
(+.f64 x (*.f64 (sqrt.f64 z) y)) |
x |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
y |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 z #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(sqrt.f64 z) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
z |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx x x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))) |
#s(approx y y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (sqrt.f64 z)) (/.f64 x y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 z (sqrt.f64 z)) y)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) |
#s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 z (sqrt.f64 z)) y) #s(literal -1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 y) (/.f64 z (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 (neg.f64 x) z))) z)) |
#s(approx (sqrt z) (neg.f64 (/.f64 z (sqrt.f64 z)))) |
Compiled 732 to 272 computations (62.8% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 9 | 78 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 70 | 9 | 79 |
| Status | Accuracy | Program |
|---|---|---|
| 49.1% | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) | |
| ▶ | 99.7% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))))) |
| ▶ | 88.2% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))))) |
| 90.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) | |
| 83.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) | |
| 54.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) | |
| ▶ | 54.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) y)) |
| ▶ | 47.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 262 to 262 computations (0% saved)
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) |
(/.f64 z (sqrt.f64 z)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))))) |
(*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) |
#s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))) |
(neg.f64 x) |
(fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)) |
(neg.f64 y) |
(/.f64 (sqrt.f64 z) x) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (* -1 (/ (* y (sqrt z)) x)))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (/ (sqrt z) x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 -1)) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (- (* -1 (/ (* y (sqrt z)) x)) 1))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (* 1/2 (/ z (sqrt z))) y) #s(hole binary64 (* 1/2 (/ (* y z) (sqrt z))))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (* y (- (* -1 (/ (sqrt z) x)) (/ 1 y))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (* -1 (* y (+ (/ 1 y) (/ (sqrt z) x)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* 1/2 (/ z (sqrt z))) #s(hole binary64 (* 1/2 (/ z (sqrt z))))) |
#s(approx (/ z (sqrt z)) #s(hole binary64 (/ z (sqrt z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (* (* 1/2 (/ z (sqrt z))) y) #s(hole binary64 (* 1/2 (/ y (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (/ z (sqrt z))) #s(hole binary64 (/ 1/2 (sqrt (/ 1 z))))) |
#s(approx (/ z (sqrt z)) #s(hole binary64 (/ 1 (sqrt (/ 1 z))))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (* -1 (/ (* y (* z (sqrt (/ 1 z)))) x)))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (* z (- (* -1 (/ (* y (sqrt (/ 1 z))) x)) (/ 1 z))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (/ (* z (sqrt (/ 1 z))) x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
#s(approx (* (* 1/2 (/ z (sqrt z))) y) #s(hole binary64 (* -1/2 (/ y (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (/ z (sqrt z))) #s(hole binary64 (/ -1/2 (sqrt (/ 1 z))))) |
#s(approx (/ z (sqrt z)) #s(hole binary64 (/ -1 (sqrt (/ 1 z))))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (/ (* y (* z (sqrt (/ 1 z)))) x))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (* y (sqrt (/ 1 z))) x)) (/ 1 z)))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (/ (* z (sqrt (/ 1 z))) x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (/ z (sqrt z))) y) (* 1/2 (/ z (sqrt z))) (/ z (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1) |
| 9.0ms | z | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (/ z (sqrt z))) y) (* 1/2 (/ z (sqrt z))) (/ z (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1) |
| 3.0ms | z | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (/ z (sqrt z))) y) (* 1/2 (/ z (sqrt z))) (/ z (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1) |
| 3.0ms | z | @ | inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (/ z (sqrt z))) y) (* 1/2 (/ z (sqrt z))) (/ z (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1) |
| 2.0ms | y | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (/ z (sqrt z))) y) (* 1/2 (/ z (sqrt z))) (/ z (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 969 |
| 0 | 221 | 921 |
| 1 | 797 | 868 |
| 0 | 5728 | 856 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) |
(/.f64 z (sqrt.f64 z)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))))) |
(*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) |
#s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))) |
(neg.f64 x) |
(fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)) |
(neg.f64 y) |
(/.f64 (sqrt.f64 z) x) |
#s(literal -1 binary64) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (* -1 (/ (* y (sqrt z)) x)))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (/ (sqrt z) x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 -1)) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (- (* -1 (/ (* y (sqrt z)) x)) 1))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (* 1/2 (/ z (sqrt z))) y) #s(hole binary64 (* 1/2 (/ (* y z) (sqrt z))))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (* y (- (* -1 (/ (sqrt z) x)) (/ 1 y))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (* -1 (* y (+ (/ 1 y) (/ (sqrt z) x)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* 1/2 (/ z (sqrt z))) #s(hole binary64 (* 1/2 (/ z (sqrt z))))) |
#s(approx (/ z (sqrt z)) #s(hole binary64 (/ z (sqrt z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (* (* 1/2 (/ z (sqrt z))) y) #s(hole binary64 (* 1/2 (/ y (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (/ z (sqrt z))) #s(hole binary64 (/ 1/2 (sqrt (/ 1 z))))) |
#s(approx (/ z (sqrt z)) #s(hole binary64 (/ 1 (sqrt (/ 1 z))))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (* -1 (/ (* y (* z (sqrt (/ 1 z)))) x)))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (* z (- (* -1 (/ (* y (sqrt (/ 1 z))) x)) (/ 1 z))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (/ (* z (sqrt (/ 1 z))) x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
#s(approx (* (* 1/2 (/ z (sqrt z))) y) #s(hole binary64 (* -1/2 (/ y (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (/ z (sqrt z))) #s(hole binary64 (/ -1/2 (sqrt (/ 1 z))))) |
#s(approx (/ z (sqrt z)) #s(hole binary64 (/ -1 (sqrt (/ 1 z))))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (/ (* y (* z (sqrt (/ 1 z)))) x))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (* y (sqrt (/ 1 z))) x)) (/ 1 z)))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (/ (* z (sqrt (/ 1 z))) x)))) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) z))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y y) z) (*.f64 x x))) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
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(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) y)) |
(fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y))) |
(fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 z) y) (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) y) #s(literal -1 binary64)) |
(fma.f64 y (/.f64 (sqrt.f64 z) (neg.f64 x)) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 y (/.f64 (sqrt.f64 z) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y))) |
(fma.f64 y (/.f64 (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) (sqrt.f64 z))) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) (/.f64 z (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 z (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) y) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) (neg.f64 y))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 (sqrt.f64 z) x))) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(+.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) y)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) (*.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) y)) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) (sqrt.f64 z))) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) (/.f64 z (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) (/.f64 z (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) y) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 (*.f64 #s(literal 1 binary64) y)) |
(neg.f64 (*.f64 y #s(literal 1 binary64))) |
(neg.f64 y) |
(*.f64 (/.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) (neg.f64 x))) |
(*.f64 (sqrt.f64 z) (/.f64 #s(literal -1 binary64) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) x)) |
(/.f64 (/.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) x) |
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x)) |
(/.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 z) x) |
(neg.f64 (/.f64 (sqrt.f64 z) (neg.f64 x))) |
#s(literal -1 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx x x) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) (*.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) y)) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) (/.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)) x)) |
#s(approx (/ (sqrt z) x) (/.f64 (sqrt.f64 z) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) #s(literal -1 binary64)) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) (neg.f64 x))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) |
#s(approx y y) |
#s(approx (* (* 1/2 (/ z (sqrt z))) y) (*.f64 (*.f64 (/.f64 z (sqrt.f64 z)) y) #s(literal 1/2 binary64))) |
#s(approx (neg y) (neg.f64 y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) (*.f64 (-.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z)) (neg.f64 y))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (* 1/2 (/ z (sqrt z))) (*.f64 (/.f64 z (sqrt.f64 z)) #s(literal 1/2 binary64))) |
#s(approx (/ z (sqrt z)) (/.f64 z (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 z (sqrt.f64 z)) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 z (sqrt.f64 z)) y)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) |
#s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) |
#s(approx (* (* 1/2 (/ z (sqrt z))) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (/ z (sqrt z))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
#s(approx (/ z (sqrt z)) (sqrt.f64 z)) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) (*.f64 (neg.f64 y) (/.f64 (/.f64 z (sqrt.f64 z)) x))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) y) x) (/.f64 #s(literal 1 binary64) z)) z)) |
#s(approx (/ (sqrt z) x) (/.f64 (/.f64 z (sqrt.f64 z)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 z (sqrt.f64 z)) y) #s(literal -1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 z (sqrt.f64 z)) (neg.f64 y))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 (neg.f64 x) z))) z)) |
#s(approx (sqrt z) (neg.f64 (/.f64 z (sqrt.f64 z)))) |
#s(approx (* (* 1/2 (/ z (sqrt z))) y) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
#s(approx (* 1/2 (/ z (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))) |
#s(approx (/ z (sqrt z)) (neg.f64 (sqrt.f64 z))) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) (/.f64 (*.f64 (/.f64 z (sqrt.f64 z)) y) x)) |
#s(approx (+ (* (neg y) (/ (sqrt z) x)) -1) (fma.f64 (/.f64 (/.f64 z (sqrt.f64 z)) x) y #s(literal -1 binary64))) |
#s(approx (/ (sqrt z) x) (/.f64 (neg.f64 (/.f64 z (sqrt.f64 z))) x)) |
Compiled 3 842 to 1 528 computations (60.2% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 393 | 7 | 400 |
| Fresh | 4 | 0 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 399 | 10 | 409 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 99.7% | (*.f64 (fma.f64 #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) y x) #s(literal 1/2 binary64)) |
| 78.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 x y) (/.f64 (sqrt.f64 z) x) x))) | |
| 88.2% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (/.f64 #s(literal -1 binary64) (neg.f64 x))) #s(literal -1 binary64))))) | |
| ▶ | 88.2% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
| ▶ | 54.1% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| ▶ | 50.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) (sqrt.f64 z))) |
| ▶ | 48.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z))) |
| ✓ | 54.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) y)) |
| ✓ | 47.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 244 to 242 computations (0.8% saved)
| Inputs |
|---|
(*.f64 (fma.f64 #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) y x) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) y x) |
#s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) |
(/.f64 z (sqrt.f64 z)) |
z |
(sqrt.f64 z) |
y |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 z) x) |
| Outputs |
|---|
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (/ (* y (sqrt z)) x))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (/ (sqrt z) x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (+ 1 (/ (* y (sqrt z)) x)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (* (* 1/2 y) z) (sqrt z)) #s(hole binary64 (* 1/2 (/ (* y z) (sqrt z))))) |
#s(approx (* (* 1/2 y) z) #s(hole binary64 (* 1/2 (* y z)))) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (/ y (sqrt z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* y (+ (/ 1 y) (/ (sqrt z) x))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (/ (sqrt z) x)) (/ 1 y)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (/ z (sqrt z)) #s(hole binary64 (/ z (sqrt z)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ 1 (sqrt z)))) |
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (/ z (sqrt z)) #s(hole binary64 (/ 1 (sqrt (/ 1 z))))) |
#s(approx (/ (* (* 1/2 y) z) (sqrt z)) #s(hole binary64 (* 1/2 (/ y (sqrt (/ 1 z)))))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (/ y (* z (sqrt (/ 1 z)))))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ 1 (* z (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (/ (* y (* z (sqrt (/ 1 z)))) x))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* z (+ (/ 1 z) (/ (* y (sqrt (/ 1 z))) x))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (/ (* z (sqrt (/ 1 z))) x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
#s(approx (/ z (sqrt z)) #s(hole binary64 (/ -1 (sqrt (/ 1 z))))) |
#s(approx (/ (* (* 1/2 y) z) (sqrt z)) #s(hole binary64 (* -1/2 (/ y (sqrt (/ 1 z)))))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (* -1 (/ y (* z (sqrt (/ 1 z))))))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ -1 (* z (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (/ (* y (* z (sqrt (/ 1 z)))) x)))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (* z (- (/ (* y (sqrt (/ 1 z))) x) (/ 1 z)))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (/ (* z (sqrt (/ 1 z))) x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (/ z (sqrt z)) z (sqrt z) y x 1/2 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ (* (* 1/2 y) z) (sqrt z)) (* (* 1/2 y) z) (* 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (* 1/2 z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x)) |
| 3.0ms | z | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (/ z (sqrt z)) z (sqrt z) y x 1/2 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ (* (* 1/2 y) z) (sqrt z)) (* (* 1/2 y) z) (* 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (* 1/2 z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x)) |
| 3.0ms | z | @ | inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (/ z (sqrt z)) z (sqrt z) y x 1/2 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ (* (* 1/2 y) z) (sqrt z)) (* (* 1/2 y) z) (* 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (* 1/2 z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x)) |
| 3.0ms | y | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (/ z (sqrt z)) z (sqrt z) y x 1/2 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ (* (* 1/2 y) z) (sqrt z)) (* (* 1/2 y) z) (* 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (* 1/2 z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x)) |
| 3.0ms | z | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (/ z (sqrt z)) z (sqrt z) y x 1/2 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ (* (* 1/2 y) z) (sqrt z)) (* (* 1/2 y) z) (* 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (* 1/2 z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 1045 |
| 0 | 227 | 1007 |
| 1 | 814 | 937 |
| 0 | 5650 | 904 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) y x) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) y x) |
#s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) |
(/.f64 z (sqrt.f64 z)) |
z |
(sqrt.f64 z) |
y |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 z) x) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (/ (* y (sqrt z)) x))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (/ (sqrt z) x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (+ 1 (/ (* y (sqrt z)) x)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (* (* 1/2 y) z) (sqrt z)) #s(hole binary64 (* 1/2 (/ (* y z) (sqrt z))))) |
#s(approx (* (* 1/2 y) z) #s(hole binary64 (* 1/2 (* y z)))) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (/ y (sqrt z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* y (+ (/ 1 y) (/ (sqrt z) x))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (/ (sqrt z) x)) (/ 1 y)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (/ z (sqrt z)) #s(hole binary64 (/ z (sqrt z)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ 1 (sqrt z)))) |
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (/ z (sqrt z)) #s(hole binary64 (/ 1 (sqrt (/ 1 z))))) |
#s(approx (/ (* (* 1/2 y) z) (sqrt z)) #s(hole binary64 (* 1/2 (/ y (sqrt (/ 1 z)))))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (/ y (* z (sqrt (/ 1 z)))))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ 1 (* z (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (/ (* y (* z (sqrt (/ 1 z)))) x))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* z (+ (/ 1 z) (/ (* y (sqrt (/ 1 z))) x))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (/ (* z (sqrt (/ 1 z))) x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
#s(approx (/ z (sqrt z)) #s(hole binary64 (/ -1 (sqrt (/ 1 z))))) |
#s(approx (/ (* (* 1/2 y) z) (sqrt z)) #s(hole binary64 (* -1/2 (/ y (sqrt (/ 1 z)))))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (* -1 (/ y (* z (sqrt (/ 1 z))))))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ -1 (* z (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (/ (* y (* z (sqrt (/ 1 z)))) x)))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (* z (- (/ (* y (sqrt (/ 1 z))) x) (/ 1 z)))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (/ (* z (sqrt (/ 1 z))) x)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) x)) |
(*.f64 (fma.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) x) (-.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) x))) (-.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) y) #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) (*.f64 x (-.f64 x (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) x) (-.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) y) #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) (*.f64 x (-.f64 x (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))))))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) x))) |
(neg.f64 (*.f64 (fma.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) x) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))))) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) y)) (-.f64 x (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) x) (-.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) x))) (neg.f64 (-.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) y) #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) (*.f64 x (-.f64 x (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))))))))) |
(/.f64 (*.f64 (fma.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) x) (-.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) x)) (-.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) x)) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) y) (*.f64 #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) (*.f64 x y))))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) y) #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) (*.f64 x (-.f64 x (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))))))) |
(fma.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) x) |
(fma.f64 #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) y x) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) y) (-.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) x))) |
(-.f64 x (*.f64 (neg.f64 y) #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))))) |
(-.f64 x (*.f64 (neg.f64 #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) y) #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) (*.f64 x (-.f64 x (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) y) #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) (*.f64 x (-.f64 x (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))))))))) |
(+.f64 (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))) x) |
(+.f64 x (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))))) |
#s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) |
(*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (sqrt.f64 z)) |
(/.f64 (/.f64 (neg.f64 z) (sqrt.f64 z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 z)) (sqrt.f64 z)) |
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 z))) |
(/.f64 z (sqrt.f64 z)) |
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 z)))) |
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 z))) |
z |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(neg.f64 (neg.f64 (sqrt.f64 z))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 z) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
y |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))) |
(neg.f64 (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) y) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) z) |
(*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)) |
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#s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (/.f64 (fma.f64 y (sqrt.f64 z) x) x)) |
#s(approx (/ (sqrt z) x) (/.f64 (sqrt.f64 z) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) x) #s(literal 1/2 binary64)) x)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) x) x)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (/.f64 (fma.f64 y (sqrt.f64 z) x) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))) |
#s(approx y y) |
#s(approx (/ (* (* 1/2 y) z) (sqrt z)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 y) z) (*.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
#s(approx (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (* (/ 1 (sqrt z)) y) (/.f64 y (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (/.f64 (fma.f64 y (sqrt.f64 z) x) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z)))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (/ z (sqrt z)) (/.f64 z (sqrt.f64 z))) |
#s(approx z z) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
#s(approx (* 1/2 z) (*.f64 #s(literal 1/2 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) z)) |
#s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) |
#s(approx (/ z (sqrt z)) (sqrt.f64 z)) |
#s(approx (/ (* (* 1/2 y) z) (sqrt z)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (sqrt.f64 z))) |
#s(approx (* (/ 1 (sqrt z)) y) (/.f64 y (/.f64 z (sqrt.f64 z)))) |
#s(approx (/ 1 (sqrt z)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 y (*.f64 (sqrt.f64 z) x)) z)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 z) x)) z #s(literal 1 binary64))) |
#s(approx (/ (sqrt z) x) (/.f64 (/.f64 z (sqrt.f64 z)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 z))) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) z)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 y) (/.f64 z (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 x) z) (/.f64 y (sqrt.f64 z)))) z)) |
#s(approx (sqrt z) (neg.f64 (/.f64 z (sqrt.f64 z)))) |
#s(approx (/ z (sqrt z)) (neg.f64 (sqrt.f64 z))) |
#s(approx (/ (* (* 1/2 y) z) (sqrt z)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) (sqrt.f64 z))) |
#s(approx (* (/ 1 (sqrt z)) y) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y z))) |
#s(approx (/ 1 (sqrt z)) (/.f64 (neg.f64 (sqrt.f64 z)) z)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (neg.f64 (*.f64 (/.f64 y (*.f64 (sqrt.f64 z) x)) z))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (neg.f64 (-.f64 (/.f64 y (*.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (/ (sqrt z) x) (/.f64 (/.f64 z (sqrt.f64 z)) (neg.f64 x))) |
Compiled 2 743 to 1 214 computations (55.7% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 301 | 3 | 304 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 2 | 3 |
| Total | 306 | 8 | 314 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 99.7% | (*.f64 (fma.f64 #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) y x) #s(literal 1/2 binary64)) |
| ▶ | 48.8% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
| ✓ | 54.1% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| ▶ | 42.5% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)) #s(literal 1/2 binary64)) |
| ✓ | 50.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) (sqrt.f64 z))) |
| ▶ | 48.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (*.f64 #s(literal 1/2 binary64) z))) |
| ✓ | 47.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 106 to 105 computations (0.9% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (*.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(*.f64 #s(literal 1/2 binary64) z) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)) |
(*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(/.f64 (sqrt.f64 z) x) |
(sqrt.f64 z) |
x |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(/.f64 y (sqrt.f64 z)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (/ (* y (sqrt z)) x))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (/ (sqrt z) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (+ 1 (/ (* y (sqrt z)) x)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx (* (* (sqrt (/ 1 z)) y) (* 1/2 z)) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (/ y (sqrt z)) z) #s(hole binary64 (/ (* y z) (sqrt z)))) |
#s(approx (/ y (sqrt z)) #s(hole binary64 (/ y (sqrt z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* y (+ (/ 1 y) (/ (sqrt z) x))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (/ (sqrt z) x)) (/ 1 y)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (/ (* y (sqrt z)) z))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (/ (sqrt z) z))) |
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (/ (* y (* z (sqrt (/ 1 z)))) x))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* z (+ (/ 1 z) (/ (* y (sqrt (/ 1 z))) x))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (/ (* z (sqrt (/ 1 z))) x))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (* (/ y (sqrt z)) z) #s(hole binary64 (/ y (sqrt (/ 1 z))))) |
#s(approx (/ y (sqrt z)) #s(hole binary64 (/ y (* z (sqrt (/ 1 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (/ (* y (* z (sqrt (/ 1 z)))) x)))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (* z (- (/ (* y (sqrt (/ 1 z))) x) (/ 1 z)))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (/ (* z (sqrt (/ 1 z))) x)))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
#s(approx (* (/ y (sqrt z)) z) #s(hole binary64 (* -1 (/ y (sqrt (/ 1 z)))))) |
#s(approx (/ y (sqrt z)) #s(hole binary64 (* -1 (/ y (* z (sqrt (/ 1 z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt (/ 1 z)) y) (* 1/2 z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) 1 z y (* 1/2 z) 1/2 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (sqrt z) x (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z))) |
| 3.0ms | z | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt (/ 1 z)) y) (* 1/2 z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) 1 z y (* 1/2 z) 1/2 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (sqrt z) x (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z))) |
| 3.0ms | y | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt (/ 1 z)) y) (* 1/2 z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) 1 z y (* 1/2 z) 1/2 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (sqrt z) x (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z))) |
| 3.0ms | y | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt (/ 1 z)) y) (* 1/2 z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) 1 z y (* 1/2 z) 1/2 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (sqrt z) x (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z))) |
| 3.0ms | y | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt (/ 1 z)) y) (* 1/2 z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) 1 z y (* 1/2 z) 1/2 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (sqrt z) x (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 993 |
| 0 | 195 | 961 |
| 1 | 708 | 911 |
| 0 | 5155 | 858 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (*.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(*.f64 #s(literal 1/2 binary64) z) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)) |
(*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(/.f64 (sqrt.f64 z) x) |
(sqrt.f64 z) |
x |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(/.f64 y (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (/ (* y (sqrt z)) x))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (/ (sqrt z) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (+ 1 (/ (* y (sqrt z)) x)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx (* (* (sqrt (/ 1 z)) y) (* 1/2 z)) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (/ y (sqrt z)) z) #s(hole binary64 (/ (* y z) (sqrt z)))) |
#s(approx (/ y (sqrt z)) #s(hole binary64 (/ y (sqrt z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* y (+ (/ 1 y) (/ (sqrt z) x))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (/ (sqrt z) x)) (/ 1 y)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (/ (* y (sqrt z)) z))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (/ (sqrt z) z))) |
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (/ (* y (* z (sqrt (/ 1 z)))) x))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* z (+ (/ 1 z) (/ (* y (sqrt (/ 1 z))) x))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (/ (* z (sqrt (/ 1 z))) x))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (* (/ y (sqrt z)) z) #s(hole binary64 (/ y (sqrt (/ 1 z))))) |
#s(approx (/ y (sqrt z)) #s(hole binary64 (/ y (* z (sqrt (/ 1 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (/ (* y (* z (sqrt (/ 1 z)))) x)))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (* z (- (/ (* y (sqrt (/ 1 z))) x) (/ 1 z)))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (/ (* z (sqrt (/ 1 z))) x)))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
#s(approx (* (/ y (sqrt z)) z) #s(hole binary64 (* -1 (/ y (sqrt (/ 1 z)))))) |
#s(approx (/ y (sqrt z)) #s(hole binary64 (* -1 (/ y (* z (sqrt (/ 1 z))))))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 z (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) y) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z (sqrt.f64 z))) |
(*.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) z) |
(*.f64 (*.f64 z y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) |
(*.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z #s(literal 1/2 binary64)))) |
(*.f64 y (*.f64 (/.f64 z (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) (sqrt.f64 z)) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 z))) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) z) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
z |
y |
(*.f64 z #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) z) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) z)) |
(neg.f64 (*.f64 z #s(literal -1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)))) |
(neg.f64 (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)) #s(literal -1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)) |
(*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x) |
(*.f64 x #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) x)) y) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(*.f64 (sqrt.f64 z) (/.f64 y x)) |
(*.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))) |
(*.f64 y (/.f64 (sqrt.f64 z) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 z))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y)) x) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) x) |
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(neg.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) x)) |
(*.f64 (sqrt.f64 z) (/.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) x) |
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x)) |
(/.f64 (sqrt.f64 z) x) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x)) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 z #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(sqrt.f64 z) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
x |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)))) |
(neg.f64 (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal -1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) |
(*.f64 (/.f64 z (sqrt.f64 z)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) |
(*.f64 z (/.f64 y (sqrt.f64 z))) |
(*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
(*.f64 y (/.f64 z (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) z) #s(literal -1 binary64)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) z) (sqrt.f64 z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 z y) (sqrt.f64 z)) |
(neg.f64 (/.f64 (*.f64 z y) (neg.f64 (sqrt.f64 z)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) z) (sqrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (sqrt.f64 z)) |
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))) |
(/.f64 y (sqrt.f64 z)) |
(neg.f64 (/.f64 y (neg.f64 (sqrt.f64 z)))) |
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (/ (sqrt z) x) (/.f64 (sqrt.f64 z) x)) |
#s(approx x x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)) x)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) x)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))) |
#s(approx (* (* (sqrt (/ 1 z)) y) (* 1/2 z)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt (/ 1 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
#s(approx y y) |
#s(approx (* (/ y (sqrt z)) z) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
#s(approx (/ y (sqrt z)) (/.f64 y (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (sqrt.f64 z)) (/.f64 x y)))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt (/ 1 z)) y) (/.f64 (*.f64 (sqrt.f64 z) y) z)) |
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx z z) |
#s(approx (* 1/2 z) (*.f64 z #s(literal 1/2 binary64))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (sqrt (/ 1 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (/.f64 z (sqrt.f64 z)) x) y)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (fma.f64 (/.f64 (/.f64 z (sqrt.f64 z)) x) y #s(literal 1 binary64))) |
#s(approx (/ (sqrt z) x) (/.f64 (/.f64 z (sqrt.f64 z)) x)) |
#s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) |
#s(approx (* (/ y (sqrt z)) z) (*.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 z))) |
#s(approx (/ y (sqrt z)) (/.f64 y (/.f64 z (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 z))) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 y) (/.f64 z (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 (neg.f64 x) z))) z)) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (neg.f64 y) (/.f64 (/.f64 z (sqrt.f64 z)) x))) |
#s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x) (*.f64 z x)))) |
#s(approx (/ (sqrt z) x) (/.f64 (/.f64 z (sqrt.f64 z)) (neg.f64 x))) |
#s(approx (sqrt z) (neg.f64 (/.f64 z (sqrt.f64 z)))) |
#s(approx (* (/ y (sqrt z)) z) (/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
#s(approx (/ y (sqrt z)) (/.f64 (neg.f64 y) (/.f64 z (sqrt.f64 z)))) |
Compiled 1 261 to 715 computations (43.3% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 156 | 0 | 156 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 5 | 5 |
| Total | 156 | 8 | 164 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 99.7% | (*.f64 (fma.f64 #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) y x) #s(literal 1/2 binary64)) |
| ✓ | 48.8% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
| ✓ | 54.1% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| ✓ | 42.5% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)) #s(literal 1/2 binary64)) |
| ✓ | 50.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) (sqrt.f64 z))) |
| ✓ | 48.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (*.f64 #s(literal 1/2 binary64) z))) |
| ✓ | 47.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 270 to 206 computations (23.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) (sqrt.f64 z))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(approx (sqrt z) (/.f64 z (sqrt.f64 z))) y x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (*.f64 #s(literal 1/2 binary64) z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y #s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 x y) (/.f64 (sqrt.f64 z) x) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (/.f64 #s(literal -1 binary64) (neg.f64 x))) #s(literal -1 binary64))))) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
7 calls:
| 53.0ms | z |
| 50.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 15.0ms | (sqrt.f64 z) |
| 6.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (sqrt.f64 z) |
| 99.7% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.7% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.7% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
7 calls:
| 6.0ms | (*.f64 y (sqrt.f64 z)) |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | z |
| 1.0ms | (sqrt.f64 z) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 2 | (sqrt.f64 z) |
| 80.3% | 3 | (*.f64 y (sqrt.f64 z)) |
| 64.0% | 5 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 64.0% | 5 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 79.0% | 3 | x |
| 76.1% | 3 | y |
| 63.5% | 2 | z |
Compiled 25 to 34 computations (-36% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
7 calls:
| 30.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | (*.f64 y (sqrt.f64 z)) |
| 1.0ms | (sqrt.f64 z) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.6% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 47.6% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 47.6% | 1 | (sqrt.f64 z) |
| 47.6% | 1 | z |
| 47.6% | 1 | y |
| 47.6% | 1 | x |
| 47.6% | 1 | (*.f64 y (sqrt.f64 z)) |
Compiled 25 to 34 computations (-36% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.2983030314296815e-78 | 4.845670260348962e-75 |
| 0.0ms | -3.476634142560708e-63 | -3.1564865224791183e-65 |
Compiled 13 to 16 computations (-23.1% saved)
| 1× | done |
Compiled 33 to 26 computations (21.2% saved)
Compiled 43 to 36 computations (16.3% saved)
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