
Time bar (total: 2.5s)
| 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)
| 672.0ms | 8 256× | 0 | valid |
| 143.0ms | 1 969× | 0 | invalid |
ival-mult: 155.0ms (39% of total)ival-div: 95.0ms (23.9% of total)ival-sqrt: 81.0ms (20.4% of total)ival-add: 48.0ms (12.1% of total)exact: 12.0ms (3% of total)adjust: 3.0ms (0.8% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (sqrt.f64 z) |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y (sqrt.f64 z)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 37.0ms | 512× | 0 | valid |
Compiled 74 to 34 computations (54.1% saved)
ival-mult: 6.0ms (34.1% of total)ival-div: 4.0ms (22.7% of total)ival-sqrt: 4.0ms (22.7% of total)ival-add: 2.0ms (11.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 84 |
| 1 | 134 | 82 |
| 2 | 441 | 82 |
| 3 | 1784 | 82 |
| 4 | 5791 | 82 |
| 0 | 10 | 8 |
| 0 | 16 | 8 |
| 1 | 31 | 8 |
| 2 | 63 | 8 |
| 3 | 122 | 8 |
| 4 | 235 | 8 |
| 5 | 554 | 8 |
| 6 | 4028 | 8 |
| 0 | 8490 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
Compiled 10 to 10 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
Compiled 10 to 10 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 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (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 870 to 181 computations (79.2% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 49 | 7 | 56 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 50 | 7 | 57 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 89.1% | (*.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))) | |
| ▶ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ▶ | 48.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| 84.8% | #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)) | |
| ▶ | 87.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
| ▶ | 51.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 222 to 188 computations (15.3% 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) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(/.f64 x y) |
| 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 (* 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (sqrt z)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (sqrt z))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#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 (* 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))) y) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ x y))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#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 (* 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#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 (* y (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x 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))) y) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ 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))) y) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #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 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (+ (sqrt z) (/ x y)))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (+ (sqrt z) (/ x y))))) |
#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 (* 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))) y) #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 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y 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 (* 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | 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)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (/ x y)) |
| 2.0ms | 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)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (/ x y)) |
| 2.0ms | y | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (/ x y)) |
| 2.0ms | 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)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (/ x y)) |
| 2.0ms | 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)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (/ x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 224 | 1863 |
| 0 | 245 | 1663 |
| 0 | 897 | 1641 |
| 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) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(/.f64 x y) |
#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 (* 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (sqrt z)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (sqrt z))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#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 (* 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))) y) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ x y))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#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 (* 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#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 (* y (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x 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))) y) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ 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))) y) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #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 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (+ (sqrt z) (/ x y)))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (+ (sqrt z) (/ x y))))) |
#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 (* 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))) y) #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 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y 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 (* 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 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 (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)) |
(*.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)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
(*.f64 y (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y)) |
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 y (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y)) |
(+.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 y (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z))) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 (sqrt.f64 z) (/.f64 x y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (/.f64 x y) (sqrt.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (sqrt.f64 z) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (sqrt.f64 z) (/.f64 x y))))) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(+.f64 (sqrt.f64 z) (/.f64 x y)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
#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 (+ 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 (* (+ (* (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) (*.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 (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
#s(approx (+ (/ x y) (sqrt z)) (sqrt.f64 z)) |
#s(approx (+ (/ x y) (sqrt z)) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 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 (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))) y) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (+ (/ x y) (sqrt z)) (/.f64 x y)) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #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 (+ x (* y (sqrt z))) (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) (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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) (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 (+ (/ x y) (sqrt z))) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))) (pow.f64 y #s(literal -1 binary64))) 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) (*.f64 (sqrt.f64 z) y)) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) y)) |
#s(approx (+ (/ x y) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#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 (+ x (* y (sqrt z))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.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) (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 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (neg.f64 (sqrt.f64 z))) y))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (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) (*.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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.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 (* (+ (* (sqrt z) y) x) 1/2) (*.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) 1/2) (*.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))) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) z)) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) 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 #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 (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 #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 (* (* (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) (*.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 #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 (* (sqrt z) y) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (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 (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x y) z))) z))) |
Compiled 3 279 to 503 computations (84.7% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 156 | 3 | 159 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 158 | 8 | 166 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 89.1% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
| ▶ | 84.8% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) |
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ✓ | 48.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ✓ | 87.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
| ▶ | 81.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y)) |
| ✓ | 51.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 139 to 113 computations (18.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) |
#s(literal 1/2 binary64) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z)) |
(*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z) |
(+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) |
(/.f64 x z) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.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) |
| 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (sqrt z)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (sqrt z))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (sqrt z))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (+ (sqrt (/ 1 z)) (/ x (* y z))))) |
#s(approx (/ (/ x y) z) #s(hole binary64 (/ x (* y z)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (+ x (* y (sqrt 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 (* (+ (* (/ 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 (* (/ 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ x y))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (/ x y))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (/ x (* y z)))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z)))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 x)) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt 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 (* (+ (* (/ 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 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 1 (* y z))))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#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 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (/ (+ (* y (sqrt (/ 1 z))) (/ x z)) y))) |
#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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#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 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#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 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (+ (sqrt z) (/ x y)))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (+ (sqrt z) (/ x y))))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #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 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #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 (* -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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* -1 (* z (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x 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)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) 1/2 (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/ (/ x y) z) (/ x y) x y z (/ 1 (sqrt z)) 1 (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ x z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x)) |
| 6.0ms | x | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) 1/2 (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/ (/ x y) z) (/ x y) x y z (/ 1 (sqrt z)) 1 (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ x z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x)) |
| 6.0ms | x | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) 1/2 (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/ (/ x y) z) (/ x y) x y z (/ 1 (sqrt z)) 1 (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ x z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x)) |
| 4.0ms | z | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) 1/2 (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/ (/ x y) z) (/ x y) x y z (/ 1 (sqrt z)) 1 (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ x z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x)) |
| 4.0ms | y | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) 1/2 (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/ (/ x y) z) (/ x y) x y z (/ 1 (sqrt z)) 1 (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ x z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 313 | 2628 |
| 0 | 338 | 2454 |
| 0 | 1272 | 2390 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) |
#s(literal 1/2 binary64) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z)) |
(*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z) |
(+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) |
(/.f64 x z) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.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) |
#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 y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (sqrt z)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (sqrt z))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (sqrt z))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (+ (sqrt (/ 1 z)) (/ x (* y z))))) |
#s(approx (/ (/ x y) z) #s(hole binary64 (/ x (* y z)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (+ x (* y (sqrt 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 (* (+ (* (/ 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 (* (/ 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ x y))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (/ x y))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (/ x (* y z)))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z)))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 x)) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt 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 (* (+ (* (/ 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 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 1 (* y z))))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#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 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (/ (+ (* y (sqrt (/ 1 z))) (/ x z)) y))) |
#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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#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 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#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 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (+ (sqrt z) (/ x y)))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (+ (sqrt z) (/ x y))))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #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 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #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 (* -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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* -1 (* z (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x 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)))))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)) #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)) #s(literal 1/2 binary64)) y) |
(*.f64 y (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)) y)) |
(*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z))) |
#s(literal 1/2 binary64) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)) |
(*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z) |
(*.f64 z (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) z (*.f64 (/.f64 (/.f64 x y) z) z)) |
(fma.f64 z (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 z (/.f64 (/.f64 x y) z))) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) z) (*.f64 (/.f64 (/.f64 x y) z) z)) |
(+.f64 (*.f64 z (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (*.f64 z (/.f64 (/.f64 x y) z))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z)) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) (-.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x y) z))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) z) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z) (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 x y) z) #s(literal 3 binary64))) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z)) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x y) z))))) |
(/.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) (*.f64 z #s(literal 1 binary64))) (*.f64 z (sqrt.f64 z))) |
(+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x y) z)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y))) |
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 z)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x (*.f64 z y)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
x |
y |
z |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #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 (pow.f64 z #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z)) |
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z) |
(*.f64 z (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) |
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) z (*.f64 (/.f64 x z) z)) |
(fma.f64 z (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (*.f64 z (/.f64 x z))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) z) (*.f64 (/.f64 x z) z)) |
(+.f64 (*.f64 z (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y)) (*.f64 z (/.f64 x z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y)) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (/.f64 x z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (/.f64 x z))))) |
(fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) |
(fma.f64 y (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 x z)) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (/.f64 x z)) |
(+.f64 (/.f64 x z) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y)) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* y (sqrt z))) (*.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 x #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) 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 (sqrt.f64 z) y) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
#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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
#s(approx (+ (/ x y) (sqrt z)) (sqrt.f64 z)) |
#s(approx (+ (/ x y) (sqrt z)) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (sqrt.f64 z)) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) |
#s(approx (/ (/ x y) z) (/.f64 (/.f64 x y) z)) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx x x) |
#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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (*.f64 (sqrt.f64 z) y)) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (sqrt.f64 z) y)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (+ (/ x y) (sqrt z)) (/.f64 x y)) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) x)) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (/.f64 x y)) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) x)) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (/.f64 x y) z)) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (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 (sqrt z)) y) (/ x z)) z) x) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 x z)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.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 (* (/ 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) (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 (+ (/ x y) (sqrt z))) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))) (pow.f64 y #s(literal -1 binary64))) x))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))) (pow.f64 y #s(literal -1 binary64))) x))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) (pow.f64 (*.f64 z y) #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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) x)) (pow.f64 z #s(literal -1 binary64))) x))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) x))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) y)) |
#s(approx (+ (/ x y) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) y)) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (/.f64 (fma.f64 (sqrt.f64 z) y x) y)) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) y)) |
#s(approx y y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) 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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.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 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (neg.f64 (sqrt.f64 z))) y))) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (neg.f64 (sqrt.f64 z))) y))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) z) (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (neg.f64 (sqrt.f64 z))) y))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))) (pow.f64 y #s(literal -1 binary64))) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) |
#s(approx z z) |
#s(approx (/ 1 (sqrt z)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #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 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) z)) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) z)) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) z)) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) z)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z)) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) 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 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (neg.f64 (*.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) z))) z))) |
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) z) (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) z))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) z) (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) z))) |
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 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 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) 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 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) z))) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.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 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.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 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) x) (pow.f64 z #s(literal -1 binary64))) z))) |
Compiled 6 523 to 935 computations (85.7% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 220 | 3 | 223 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 5 | 5 |
| Total | 220 | 11 | 231 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 89.1% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
| ✓ | 84.8% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) |
| ▶ | 84.9% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) z)) #s(literal 1/2 binary64)) |
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ✓ | 48.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ✓ | 87.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
| ✓ | 81.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y)) |
| ▶ | 76.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y)) |
| ▶ | 81.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z))) y)) |
| ✓ | 51.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 245 to 182 computations (25.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z))) y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z))) |
#s(literal 1/2 binary64) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z)) |
(*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) |
(/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(/.f64 x y) |
x |
y |
(sqrt.f64 z) |
z |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z)) |
(*.f64 (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z) |
(+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 x (*.f64 z y)) |
(*.f64 z y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) z)) |
(*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) 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) |
| 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (sqrt z)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (sqrt z))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (sqrt z))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (+ (sqrt (/ 1 z)) (/ x (* y z))))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (+ (sqrt (/ 1 z)) (/ x (* y z))))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (sqrt z))) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (+ (/ x (* z y)) (/ 1 (sqrt z))) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (+ (/ x (* z y)) (/ 1 (sqrt z))) #s(hole binary64 (+ (sqrt (/ 1 z)) (/ x (* y z))))) |
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z)))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (+ x (* y (sqrt 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 (+ (* (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 (* (/ 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ x y))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (/ x y))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (/ x (* y z)))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z)))))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (/ x (* y z)))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z)))))) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (/ x y))) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (+ (/ x (* z y)) (/ 1 (sqrt z))) #s(hole binary64 (/ x (* y z)))) |
#s(approx (+ (/ x (* z y)) (/ 1 (sqrt z))) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z)))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 x)) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt 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 (+ (* (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 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 1 (* y z))))))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 1 (* y z))))))) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (+ (/ x (* z y)) (/ 1 (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 1 (* y z))))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#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 (+ (* (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 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (/ (+ (* y (sqrt (/ 1 z))) (/ x z)) y))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (/ (+ (* y (sqrt (/ 1 z))) (/ x z)) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (+ (/ x (* z y)) (/ 1 (sqrt z))) #s(hole binary64 (/ (+ (* y (sqrt (/ 1 z))) (/ x z)) y))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#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 (+ (* (sqrt z) y) x) #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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#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 (+ (* (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 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (+ (sqrt z) (/ x y)))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (+ (sqrt z) (/ x y))))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) z))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) z))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (/ x (* z y)) (/ 1 (sqrt z))) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) z))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #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 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ 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 (* -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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* -1 (* z (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (* -1 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (+ (* -1 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))) (/ x (* y z))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (* -1 (* z (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ 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 (+ (* (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)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | y | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) 1/2 (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/ (+ (/ x y) (sqrt z)) z) (+ (/ x y) (sqrt z)) (/ x y) x y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) (+ (/ x (* z y)) (/ 1 (sqrt z))) (/ x (* z y)) (* z y) (/ 1 (sqrt z)) 1 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x)) |
| 4.0ms | z | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) 1/2 (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/ (+ (/ x y) (sqrt z)) z) (+ (/ x y) (sqrt z)) (/ x y) x y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) (+ (/ x (* z y)) (/ 1 (sqrt z))) (/ x (* z y)) (* z y) (/ 1 (sqrt z)) 1 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x)) |
| 3.0ms | z | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) 1/2 (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/ (+ (/ x y) (sqrt z)) z) (+ (/ x y) (sqrt z)) (/ x y) x y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) (+ (/ x (* z y)) (/ 1 (sqrt z))) (/ x (* z y)) (* z y) (/ 1 (sqrt z)) 1 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x)) |
| 3.0ms | y | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) 1/2 (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/ (+ (/ x y) (sqrt z)) z) (+ (/ x y) (sqrt z)) (/ x y) x y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) (+ (/ x (* z y)) (/ 1 (sqrt z))) (/ x (* z y)) (* z y) (/ 1 (sqrt z)) 1 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x)) |
| 3.0ms | x | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) 1/2 (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/ (+ (/ x y) (sqrt z)) z) (+ (/ x y) (sqrt z)) (/ x y) x y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) (+ (/ x (* z y)) (/ 1 (sqrt z))) (/ x (* z y)) (* z y) (/ 1 (sqrt z)) 1 (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 340 | 3323 |
| 0 | 366 | 3092 |
| 0 | 1333 | 3038 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z))) y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z))) |
#s(literal 1/2 binary64) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z)) |
(*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) |
(/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(/.f64 x y) |
x |
y |
(sqrt.f64 z) |
z |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z)) |
(*.f64 (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z) |
(+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 x (*.f64 z y)) |
(*.f64 z y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) z)) |
(*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) 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)))) #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 y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (sqrt z)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (sqrt z))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (sqrt z))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (+ (sqrt (/ 1 z)) (/ x (* y z))))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (+ (sqrt (/ 1 z)) (/ x (* y z))))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (sqrt z))) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (+ (/ x (* z y)) (/ 1 (sqrt z))) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (+ (/ x (* z y)) (/ 1 (sqrt z))) #s(hole binary64 (+ (sqrt (/ 1 z)) (/ x (* y z))))) |
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z)))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (+ x (* y (sqrt 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 (+ (* (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 (* (/ 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ x y))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (/ x y))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (/ x (* y z)))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z)))))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (/ x (* y z)))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z)))))) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (/ x y))) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (+ (/ x (* z y)) (/ 1 (sqrt z))) #s(hole binary64 (/ x (* y z)))) |
#s(approx (+ (/ x (* z y)) (/ 1 (sqrt z))) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z)))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 x)) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt 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 (+ (* (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 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 1 (* y z))))))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 1 (* y z))))))) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (+ (/ x (* z y)) (/ 1 (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 1 (* y z))))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#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 (+ (* (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 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (/ (+ (* y (sqrt (/ 1 z))) (/ x z)) y))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (/ (+ (* y (sqrt (/ 1 z))) (/ x z)) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (+ (/ x (* z y)) (/ 1 (sqrt z))) #s(hole binary64 (/ (+ (* y (sqrt (/ 1 z))) (/ x z)) y))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#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 (+ (* (sqrt z) y) x) #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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#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 (+ (* (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 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (+ (sqrt z) (/ x y)))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (+ (sqrt z) (/ x y))))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) z))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) z))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (/ x (* z y)) (/ 1 (sqrt z))) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) z))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) 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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #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 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ 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 (* -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 (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) #s(hole binary64 (* -1 (* z (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (* -1 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) #s(hole binary64 (+ (* -1 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))) (/ x (* y z))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (/ x (* z y)) (/ 1 (sqrt z))) z) #s(hole binary64 (* -1 (* z (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ 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 (+ (* (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)))))))) |
| Outputs |
|---|
#s(approx (* (+ x (* y (sqrt z))) 1/2) (*.f64 (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z)) #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z)) #s(literal 1/2 binary64)) y) |
(*.f64 y (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z)) y)) |
(*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z))) |
#s(literal 1/2 binary64) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z)) |
(*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z) |
(*.f64 z #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z))) |
#s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) |
(/.f64 (neg.f64 (+.f64 (/.f64 x y) (sqrt.f64 z))) (neg.f64 z)) |
(/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z) |
(+.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (/.f64 x z) y)) |
(+.f64 (/.f64 (/.f64 x z) y) (/.f64 (sqrt.f64 z) z)) |
(/.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z))) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 (sqrt.f64 z) (/.f64 x y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (/.f64 x y) (sqrt.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (sqrt.f64 z) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (sqrt.f64 z) (/.f64 x y))))) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(+.f64 (sqrt.f64 z) (/.f64 x y)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
x |
y |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
#s(approx (* (+ x (* y (sqrt z))) 1/2) (*.f64 (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x z) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)) #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x z) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)) #s(literal 1/2 binary64)) y) |
(*.f64 y (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x z) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x z) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)) y)) |
(*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x z) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x z) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z))) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x z) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)) |
(*.f64 (+.f64 (/.f64 (/.f64 x z) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z) |
(*.f64 z (+.f64 (/.f64 (/.f64 x z) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) z (*.f64 (/.f64 (/.f64 x z) y) z)) |
(fma.f64 z (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 z (/.f64 (/.f64 x z) y))) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) z) (*.f64 (/.f64 (/.f64 x z) y) z)) |
(+.f64 (*.f64 z (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (*.f64 z (/.f64 (/.f64 x z) y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 x z) y) (/.f64 (/.f64 x z) y))) (-.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x z) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x z) y) (/.f64 (/.f64 x z) y)) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) (-.f64 (/.f64 (/.f64 x z) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 (/.f64 x z) y) (/.f64 (/.f64 x z) y)) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x z) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x z) y) (/.f64 (/.f64 x z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 x z) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) (*.f64 z #s(literal 1 binary64))) (*.f64 z (sqrt.f64 z))) |
(/.f64 (fma.f64 x (sqrt.f64 z) (*.f64 (*.f64 z y) #s(literal 1 binary64))) (*.f64 (*.f64 z y) (sqrt.f64 z))) |
(+.f64 (/.f64 (/.f64 x z) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x z) y)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y))) |
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 z)) |
(/.f64 (/.f64 x z) y) |
(/.f64 (/.f64 x y) z) |
(/.f64 x (*.f64 z y)) |
(*.f64 z y) |
(*.f64 y z) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #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 (pow.f64 z #s(literal -1 binary64))) |
#s(literal 1 binary64) |
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(fma.f64 (sqrt.f64 z) y x) |
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#s(approx (+ x (* y (sqrt z))) x) |
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#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) x) |
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#s(approx y y) |
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#s(approx z z) |
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#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (neg.f64 (*.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x z) y))) z))) |
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x z) y) (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) z))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x z) y) (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) z))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) (neg.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))))) |
#s(approx (/ (+ (/ x y) (sqrt z)) z) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 x z) y))) |
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
#s(approx (* (+ (/ (/ x y) z) (/ 1 (sqrt z))) z) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x z) y) (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) z))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (+ x (* y (sqrt z))) 1/2) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) 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 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (neg.f64 (/.f64 x z))) z))) |
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (neg.f64 (*.f64 (fma.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (neg.f64 (/.f64 x z))) z))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) (neg.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (* (sqrt z) y) x) z) (fma.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal -1 binary64) (/.f64 x 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 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (neg.f64 (/.f64 x z))) z))) |
Compiled 8 155 to 1 087 computations (86.7% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 224 | 0 | 224 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 8 | 8 |
| Total | 224 | 11 | 235 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 89.1% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
| ✓ | 84.8% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) |
| ✓ | 84.9% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) z)) #s(literal 1/2 binary64)) |
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ✓ | 48.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ✓ | 87.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
| ✓ | 81.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y)) |
| ✓ | 76.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y)) |
| ✓ | 81.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z))) y)) |
| ✓ | 51.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 544 to 263 computations (51.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) z)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) |
(*.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 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (/ 1 (sqrt z))) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) z)) z))) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))) y)) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
7 calls:
| 14.0ms | (sqrt.f64 z) |
| 9.0ms | z |
| 4.0ms | y |
| 4.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 4.0ms | x |
| 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 | (sqrt.f64 z) |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 2 | (sqrt.f64 z) |
| 78.2% | 3 | (*.f64 y (sqrt.f64 z)) |
| 61.8% | 4 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 61.8% | 4 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 72.8% | 3 | x |
| 74.6% | 3 | y |
| 59.8% | 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:
| 6.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | (sqrt.f64 z) |
| 1.0ms | (*.f64 y (sqrt.f64 z)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 51.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 51.8% | 1 | (sqrt.f64 z) |
| 51.8% | 1 | z |
| 51.8% | 1 | x |
| 51.8% | 1 | y |
| 51.8% | 1 | (*.f64 y (sqrt.f64 z)) |
Compiled 25 to 34 computations (-36% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.474362809694418e+83 | 1.805896487086991e+85 |
| 0.0ms | -2.8195331584171266e+106 | -8.579369380631072e+89 |
Compiled 13 to 16 computations (-23.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 61 |
| 1 | 46 | 61 |
| 2 | 91 | 61 |
| 3 | 325 | 61 |
| 4 | 1512 | 61 |
| 5 | 6295 | 61 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1000000000000000057766609898115896702437267127096064137098041863234712334016924614656 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))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1000000000000000057766609898115896702437267127096064137098041863234712334016924614656 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))))) |
(if (or (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (not (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1000000000000000057766609898115896702437267127096064137098041863234712334016924614656 binary64)))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| 1× | done |
Compiled 67 to 27 computations (59.7% saved)
Compiled 154 to 74 computations (51.9% saved)
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