
Time bar (total: 2.3s)
| 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)
| 596.0ms | 8 256× | 0 | valid |
| 127.0ms | 2 053× | 0 | invalid |
ival-mult!: 114.0ms (46.4% of total)ival-sqrt: 106.0ms (43.1% of total)ival-add!: 24.0ms (9.8% of total)adjust: 2.0ms (0.8% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 84 |
| 1 | 134 | 82 |
| 2 | 441 | 82 |
| 3 | 1784 | 82 |
| 4 | 5791 | 82 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.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 x) (sqrt z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | 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 | z | @ | 0 | ((* (/ 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) |
| 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 | 109 | 476 |
| 0 | 115 | 433 |
| 0 | 505 | 401 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 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 x) (sqrt z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
| 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 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #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) y) #s(literal 1/2 binary64) (*.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 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(+.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 x x) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x (*.f64 (sqrt.f64 z) y))))) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 (*.f64 (sqrt.f64 z) y) x) |
(+.f64 x (*.f64 (sqrt.f64 z) y)) |
x |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
y |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
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))) x) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) x))) |
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y)) |
#s(approx y y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 z))) 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) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x 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 (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z))) |
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 x z))) z))) |
#s(approx (* y (sqrt z)) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
Compiled 398 to 181 computations (54.5% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 43 | 6 | 49 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 44 | 6 | 50 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 87.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) | |
| ▶ | 89.1% | #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)) |
| ▶ | 52.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ▶ | 83.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
| ▶ | 49.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 172 to 172 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 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 z) y) |
#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 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(/.f64 x z) |
| 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 (* 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 (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (/ x z) #s(hole binary64 (/ x z))) |
#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 x) (sqrt z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#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 x) (sqrt z))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (* (sqrt z) y) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (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 (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#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 (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#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) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z)))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (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 (* z (+ (* y (sqrt (/ 1 z))) (/ x 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 z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (* (sqrt z) y) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | 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)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z)) |
| 6.0ms | 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)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z)) |
| 5.0ms | 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)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z)) |
| 4.0ms | x | @ | 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)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z)) |
| 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)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 1990 |
| 0 | 287 | 1809 |
| 0 | 1100 | 1800 |
| 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 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 z) y) |
#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 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(/.f64 x z) |
#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 (* 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 (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (/ x z) #s(hole binary64 (/ x z))) |
#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 x) (sqrt z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#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 x) (sqrt z))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (* (sqrt z) y) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (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 (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#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 (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#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) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z)))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (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 (* z (+ (* y (sqrt (/ 1 z))) (/ x 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 z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (* (sqrt z) y) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x 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 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #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) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.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 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(+.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)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x (*.f64 (sqrt.f64 z) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 (*.f64 (sqrt.f64 z) y) x) |
(+.f64 x (*.f64 (sqrt.f64 z) y)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 x (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (neg.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) |
(*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(+.f64 (*.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) |
(+.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x z)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z)) |
(+.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx x x) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (* (sqrt z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (sqrt z) y) x) x) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 x z)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)) (/.f64 #s(literal 1/2 binary64) z)) x))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)) (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx y y) |
#s(approx (* (* (sqrt z) y) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt z) y) (*.f64 (sqrt.f64 z) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (+.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 z))) y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) y))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 y z))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) z) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.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 z) y) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.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 z) y) x) 1/2) 1/2) x) (*.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 z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) z)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) 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 z) y) x) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (neg.f64 (/.f64 x z))) z))) |
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z))) |
#s(approx (* (* (sqrt z) y) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (sqrt z) y) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) x) (/.f64 #s(literal 1 binary64) z))) z))) |
#s(approx (/ (* (sqrt z) y) x) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))) |
Compiled 1 749 to 682 computations (61% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 168 | 6 | 174 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 171 | 9 | 180 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 87.5% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
| ✓ | 52.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ▶ | 83.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z)) |
| ▶ | 83.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z)) |
| ▶ | 46.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z)) |
| 86.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x)) | |
| ▶ | 41.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
| ✓ | 49.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 297 to 289 computations (2.7% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) |
(/.f64 (fma.f64 (sqrt.f64 z) y x) z) |
(fma.f64 (sqrt.f64 z) y x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 x z) |
| 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 (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx x #s(hole binary64 x)) |
#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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (/ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (/ x z) #s(hole binary64 (/ x z))) |
#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 x) (sqrt z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z))))) |
#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 x) (sqrt z))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ x z))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (* y (sqrt (/ 1 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 (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#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 (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#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) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z)))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z)))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (/ 1 z) #s(hole binary64 (/ 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 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (/ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z)))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | y | @ | inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) (/ x z)) |
| 5.0ms | z | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) (/ x z)) |
| 4.0ms | y | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) (/ x z)) |
| 3.0ms | x | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) (/ x z)) |
| 3.0ms | z | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) (/ x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 363 | 3660 |
| 0 | 403 | 3304 |
| 0 | 1394 | 3287 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) |
(/.f64 (fma.f64 (sqrt.f64 z) y x) z) |
(fma.f64 (sqrt.f64 z) y x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 x z) |
#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 (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx x #s(hole binary64 x)) |
#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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (/ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (/ x z) #s(hole binary64 (/ x z))) |
#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 x) (sqrt z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z))))) |
#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 x) (sqrt z))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ x z))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (* y (sqrt (/ 1 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 (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#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 (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#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) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z)))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z)))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (/ 1 z) #s(hole binary64 (/ 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 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (/ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z)))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 y (sqrt.f64 z)) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (*.f64 y (sqrt.f64 z)) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z))) |
(+.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
y |
x |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))) x) |
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z)) |
(*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) x) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 y (sqrt.f64 z))) (neg.f64 x)) |
(/.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) #s(literal 1/2 binary64)) z)) |
(*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) #s(literal 1/2 binary64)) z) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) z)) |
(*.f64 z (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) y) (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)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) #s(literal 1/2 binary64)) z)) |
(*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) #s(literal 1/2 binary64)) z) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) z)) |
(*.f64 z (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) |
(/.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) (neg.f64 z)) |
(/.f64 (fma.f64 y (sqrt.f64 z) x) z) |
(+.f64 (/.f64 (*.f64 y (sqrt.f64 z)) z) (/.f64 x z)) |
(+.f64 (/.f64 x z) (/.f64 (*.f64 y (sqrt.f64 z)) z)) |
(/.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)))) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 z)) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 x (*.f64 y (sqrt.f64 z)))))) |
(fma.f64 y (sqrt.f64 z) x) |
(fma.f64 (sqrt.f64 z) y x) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) |
(*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(+.f64 (*.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) |
(+.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x z)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z)) |
(+.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(sqrt.f64 (/.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) z) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 y (sqrt.f64 z) x)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 y (sqrt.f64 z))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (fma.f64 y (sqrt.f64 z) x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 y (sqrt.f64 z) x) x)) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx x x) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) x)) |
#s(approx (* (/ (* (sqrt z) y) x) 1/2) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sqrt z) y) x) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
#s(approx (/ (+ (* (sqrt z) y) x) z) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (sqrt z) y) x) x) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) x) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 x z)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (/ (+ (* (sqrt z) y) x) z) (/.f64 x z)) |
#s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 x z)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)) x))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)) x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)) (/.f64 #s(literal 1/2 binary64) z)) x))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)) (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)) (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)) (/.f64 #s(literal 1/2 binary64) z)) x))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)) (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx y y) |
#s(approx (* (sqrt z) y) (*.f64 y (sqrt.f64 z))) |
#s(approx (* (/ 1 (sqrt z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (+.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)) |
#s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (+.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (+.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 z))) y))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 z))) y))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y)) y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) y))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 y z))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 y z))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 y z))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.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 z) y) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.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 z) y) x) 1/2) 1/2) x) (*.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 z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) z)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) 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 z) y) x) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (neg.f64 (/.f64 x z))) z))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (neg.f64 (/.f64 x z))) z))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) x) (/.f64 #s(literal 1 binary64) z)) z))) |
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) x) (/.f64 #s(literal 1 binary64) z))) z))) |
#s(approx (* (/ (* (sqrt z) y) x) 1/2) (*.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x) #s(literal -1/2 binary64))) |
#s(approx (/ (* (sqrt z) y) x) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x))) |
#s(approx (* (sqrt z) y) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) (neg.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) (+.f64 (neg.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (/.f64 x z))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))) z))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z)))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))) |
#s(approx (/ 1 (sqrt z)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
Compiled 2 482 to 998 computations (59.8% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 215 | 3 | 218 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 219 | 8 | 227 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 52.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ✓ | 83.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z)) |
| ▶ | 46.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) z)) |
| ✓ | 46.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z)) |
| ▶ | 46.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) z)) |
| ▶ | 39.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x)) |
| ✓ | 49.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 154 to 149 computations (3.2% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) z) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) |
(*.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) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) z) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)) |
(*.f64 #s(literal 1 binary64) y) |
| 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#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 x) (sqrt z))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (/ (* 1 y) (sqrt z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* 1 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#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 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z)))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (/ 1 z) #s(hole binary64 (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | y | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x) y x (sqrt z) z 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) 1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (* 1 y) (sqrt z)) (* 1 y)) |
| 3.0ms | z | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x) y x (sqrt z) z 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) 1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (* 1 y) (sqrt z)) (* 1 y)) |
| 3.0ms | y | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x) y x (sqrt z) z 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) 1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (* 1 y) (sqrt z)) (* 1 y)) |
| 2.0ms | z | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x) y x (sqrt z) z 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) 1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (* 1 y) (sqrt z)) (* 1 y)) |
| 2.0ms | x | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x) y x (sqrt z) z 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) 1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (* 1 y) (sqrt z)) (* 1 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 1826 |
| 0 | 244 | 1594 |
| 0 | 920 | 1541 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) z) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) |
(*.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) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) z) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)) |
(*.f64 #s(literal 1 binary64) y) |
#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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#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 x) (sqrt z))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (/ (* 1 y) (sqrt z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* 1 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#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 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z)))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (/ 1 z) #s(hole binary64 (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x) |
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) x) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (neg.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
y |
x |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z)) |
(*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z) |
(*.f64 z (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) z)) |
(*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z)))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z))) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))) |
(/.f64 y (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)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(sqrt.f64 (/.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) z) |
#s(literal 1 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z)) |
(*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z) |
(*.f64 z (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) z)) |
(*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z)))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z))) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))) |
(/.f64 y (sqrt.f64 z)) |
y |
#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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) x)) |
#s(approx (* (* (/ y x) (sqrt z)) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (* (/ y x) (sqrt z)) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx x x) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) |
#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 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (fma.f64 (/.f64 (/.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 x z)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (+.f64 (/.f64 (/.f64 y (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y (sqrt.f64 z)) x)) (/.f64 #s(literal 1/2 binary64) z)) x))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 y (sqrt.f64 z)) x)) (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (* 1 y) y) |
#s(approx (/ (* 1 y) (sqrt z)) (/.f64 y (sqrt.f64 z))) |
#s(approx (/ (* 1 y) (sqrt z)) (/.f64 y (sqrt.f64 z))) |
#s(approx (* 1 y) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) y)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) y)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) y)) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) y))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) y))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) y))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) y))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 z y))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) 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 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) z) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) |
#s(approx (sqrt (/ 1 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) z)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 z))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (sqrt.f64 z))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) x) (/.f64 #s(literal 1 binary64) z))) z))) |
#s(approx (* (* (/ y x) (sqrt z)) 1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (sqrt.f64 z))) |
#s(approx (* (/ y x) (sqrt z)) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) y) x) (sqrt.f64 z)))) |
#s(approx (sqrt z) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) z))) |
#s(approx (/ (* 1 y) (sqrt z)) (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) |
#s(approx (sqrt (/ 1 z)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
Compiled 1 177 to 484 computations (58.9% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 1 | 102 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 5 | 5 |
| Total | 102 | 8 | 110 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 52.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| 46.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z)) | |
| ✓ | 83.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z)) |
| ✓ | 46.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z)) |
| ✓ | 46.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) z)) |
| ✓ | 39.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x)) |
| ✓ | 49.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 319 to 248 computations (22.3% 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 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z)) |
(*.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 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z)) |
#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 (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x)) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
7 calls:
| 15.0ms | (sqrt.f64 z) |
| 6.0ms | z |
| 5.0ms | y |
| 4.0ms | x |
| 4.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (sqrt.f64 z) |
| 99.8% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.8% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 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))) |
| 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:
| 1.0ms | z |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | x |
| 1.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 1.0ms | (sqrt.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 2 | (sqrt.f64 z) |
| 82.4% | 3 | (*.f64 y (sqrt.f64 z)) |
| 62.7% | 5 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 62.7% | 5 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 74.3% | 3 | x |
| 79.0% | 3 | y |
| 65.6% | 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:
| 9.0ms | x |
| 1.0ms | (*.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 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.2% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 49.2% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 49.2% | 1 | (sqrt.f64 z) |
| 49.2% | 1 | z |
| 49.2% | 1 | x |
| 49.2% | 1 | y |
| 49.2% | 1 | (*.f64 y (sqrt.f64 z)) |
Compiled 25 to 34 computations (-36% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7422070175912335e-53 | 3.2895237166746425e-48 |
| 0.0ms | -3.8301807189368493e-121 | -2.855188946004514e-135 |
Compiled 13 to 16 computations (-23.1% saved)
| 1× | fuel |
Compiled 33 to 26 computations (21.2% saved)
Compiled 43 to 36 computations (16.3% saved)
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