
Time bar (total: 2.6s)
| 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)
| 736.0ms | 8 256× | 0 | valid |
| 148.0ms | 2 115× | 0 | invalid |
ival-mult: 193.0ms (35.6% of total)ival-div: 142.0ms (26.2% of total)ival-add: 98.0ms (18.1% of total)ival-sqrt: 90.0ms (16.6% of total)exact: 12.0ms (2.2% of total)ival-assert: 4.0ms (0.7% of total)adjust: 3.0ms (0.6% 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 |
| 75.0ms | 512× | 0 | valid |
Compiled 74 to 34 computations (54.1% saved)
ival-sqrt: 44.0ms (76.2% of total)ival-mult: 6.0ms (10.4% of total)ival-div: 3.0ms (5.2% of total)ival-add: 2.0ms (3.5% 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 | |
|---|---|---|---|---|
| 16.0ms | x | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 3.0ms | x | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 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) |
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 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) 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 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) 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 (pow.f64 z #s(literal 1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y))) (-.f64 x (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y)) (*.f64 x (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y))))) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) |
(fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x) |
(-.f64 x (*.f64 (neg.f64 y) (pow.f64 z #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) |
(+.f64 x (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y)) |
x |
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) |
(*.f64 y (pow.f64 z #s(literal 1/2 binary64))) |
y |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) 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 (pow.f64 z #s(literal 1/2 binary64)) 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) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64))) |
#s(approx (* y (sqrt z)) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y)) |
#s(approx y y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) y)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y (*.f64 (/.f64 x y) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 1/2 binary64)))) y) #s(literal -1 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64)))) y) #s(literal -1 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64))) |
#s(approx (sqrt z) (pow.f64 z #s(literal 1/2 binary64))) |
#s(approx z z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal -1 binary64) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (*.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (*.f64 #s(literal -1 binary64) z) (fma.f64 (*.f64 #s(literal -1 binary64) y) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal -1 binary64))))) |
#s(approx (* y (sqrt z)) (*.f64 (*.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
#s(approx (sqrt z) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
Compiled 946 to 185 computations (80.4% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 54 | 2 | 56 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 54 | 3 | 57 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ▶ | 85.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) |
| ▶ | 81.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
Compiled 58 to 46 computations (20.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) z) |
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
(/.f64 x z) |
x |
z |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 z #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 y x) |
(pow.f64 z #s(literal 1/2 binary64)) |
| 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 z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (/ x z) #s(hole binary64 (/ x z))) |
#s(approx x #s(hole binary64 x)) |
#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 (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 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 (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 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 (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 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 (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (* (pow (pow z -1) 1/2) y) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* (pow (pow z -1) 1/2) y) #s(hole binary64 (* y (sqrt (/ 1 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 z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 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 (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 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 (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (pow (pow z -1) 1/2) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (pow z -1) #s(hole binary64 (/ 1 z))) |
#s(approx (pow z 1/2) #s(hole binary64 (sqrt z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) 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 (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 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 (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (+ (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (* (* (pow (pow z -1) 1/2) y) 1/2) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
#s(approx (* (pow (pow z -1) 1/2) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (pow (pow z -1) 1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#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 x) (pow z 1/2)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
#s(approx (pow z 1/2) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (/ x z) x z 1/2 (* (* (pow (pow z -1) 1/2) y) 1/2) (* (pow (pow z -1) 1/2) y) (pow (pow z -1) 1/2) (pow z -1) -1 y (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (pow z 1/2)) 1) x) (+ (* (/ y x) (pow z 1/2)) 1) (/ y x) (pow z 1/2)) |
| 6.0ms | z | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (/ x z) x z 1/2 (* (* (pow (pow z -1) 1/2) y) 1/2) (* (pow (pow z -1) 1/2) y) (pow (pow z -1) 1/2) (pow z -1) -1 y (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (pow z 1/2)) 1) x) (+ (* (/ y x) (pow z 1/2)) 1) (/ y x) (pow z 1/2)) |
| 4.0ms | z | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (/ x z) x z 1/2 (* (* (pow (pow z -1) 1/2) y) 1/2) (* (pow (pow z -1) 1/2) y) (pow (pow z -1) 1/2) (pow z -1) -1 y (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (pow z 1/2)) 1) x) (+ (* (/ y x) (pow z 1/2)) 1) (/ y x) (pow z 1/2)) |
| 3.0ms | x | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (/ x z) x z 1/2 (* (* (pow (pow z -1) 1/2) y) 1/2) (* (pow (pow z -1) 1/2) y) (pow (pow z -1) 1/2) (pow z -1) -1 y (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (pow z 1/2)) 1) x) (+ (* (/ y x) (pow z 1/2)) 1) (/ y x) (pow z 1/2)) |
| 3.0ms | y | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (/ x z) x z 1/2 (* (* (pow (pow z -1) 1/2) y) 1/2) (* (pow (pow z -1) 1/2) y) (pow (pow z -1) 1/2) (pow z -1) -1 y (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (pow z 1/2)) 1) x) (+ (* (/ y x) (pow z 1/2)) 1) (/ y x) (pow z 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 223 | 1672 |
| 0 | 241 | 1417 |
| 0 | 971 | 1348 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) z) |
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
(/.f64 x z) |
x |
z |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 z #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 y x) |
(pow.f64 z #s(literal 1/2 binary64)) |
#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 z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (/ x z) #s(hole binary64 (/ x z))) |
#s(approx x #s(hole binary64 x)) |
#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 (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 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 (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 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 (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 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 (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (* (pow (pow z -1) 1/2) y) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* (pow (pow z -1) 1/2) y) #s(hole binary64 (* y (sqrt (/ 1 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 z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 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 (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 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 (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (pow (pow z -1) 1/2) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (pow z -1) #s(hole binary64 (/ 1 z))) |
#s(approx (pow z 1/2) #s(hole binary64 (sqrt z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) 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 (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 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 (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) #s(hole binary64 (+ (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (* (* (pow (pow z -1) 1/2) y) 1/2) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
#s(approx (* (pow (pow z -1) 1/2) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (pow (pow z -1) 1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#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 x) (pow z 1/2)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
#s(approx (pow z 1/2) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z))) z) |
(*.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(fma.f64 z (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(+.f64 (*.f64 z (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) |
(+.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
x |
z |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) |
(*.f64 y (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) |
(sqrt.f64 (pow.f64 z #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) z) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
y |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #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) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x))))) |
(fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (pow.f64 z #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x)) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx x x) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x)) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y)) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x)) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x)) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) (/.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) 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 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal -1 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) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) x) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64))) |
#s(approx (* (* (pow (pow z -1) 1/2) y) 1/2) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (* (pow (pow z -1) 1/2) y) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y)) |
#s(approx y y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) y)) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) y)) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) y)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y (*.f64 (/.f64 x y) y))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y (*.f64 (/.f64 x y) y))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal 1/2 binary64))) y (*.f64 (pow.f64 y #s(literal -1 binary64)) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 1/2 binary64)))) y) #s(literal -1 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 1/2 binary64)))) y) #s(literal -1 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)))) y) #s(literal -1 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64)))) y) #s(literal -1 binary64))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64)))) y) #s(literal -1 binary64))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) (*.f64 (*.f64 #s(literal -1 binary64) y) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 z #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64)) z)) |
#s(approx z z) |
#s(approx (pow (pow z -1) 1/2) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (pow z -1) (pow.f64 z #s(literal -1 binary64))) |
#s(approx (pow z 1/2) (pow.f64 z #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) z)) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) (*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) z)) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) (fma.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) x) z (*.f64 (pow.f64 z #s(literal -1 binary64)) z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal -1 binary64) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (*.f64 (*.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) z) (*.f64 (*.f64 #s(literal -1 binary64) z) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow (pow z -1) 1/2) y) 1/2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
#s(approx (* (* (pow (pow z -1) 1/2) y) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (* (pow (pow z -1) 1/2) y) (*.f64 (*.f64 #s(literal -1 binary64) y) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (pow (pow z -1) 1/2) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (*.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (*.f64 #s(literal -1 binary64) z) (fma.f64 (*.f64 #s(literal -1 binary64) y) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal -1 binary64))))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) (*.f64 (*.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
#s(approx (* (+ (* (/ y x) (pow z 1/2)) 1) x) (*.f64 (*.f64 #s(literal -1 binary64) z) (fma.f64 (*.f64 #s(literal -1 binary64) y) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal -1 binary64))))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) (*.f64 (/.f64 (*.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64)))) x) #s(literal -1 binary64))) |
#s(approx (+ (* (/ y x) (pow z 1/2)) 1) (*.f64 (*.f64 #s(literal -1 binary64) z) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) y) x) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 z #s(literal -1 binary64))))) |
#s(approx (pow z 1/2) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
Compiled 4 792 to 633 computations (86.8% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 2 | 159 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 1 | 1 |
| Total | 158 | 4 | 162 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ✓ | 85.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) |
| ▶ | 82.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
| ▶ | 81.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) z)) |
Compiled 83 to 65 computations (21.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) z)) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) z) |
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) |
(/.f64 x z) |
x |
z |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 z #s(literal 1/2 binary64)) |
y |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z) |
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) |
(pow.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| 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 z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (/ x z) #s(hole binary64 (/ x z))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (* (/ 1 (pow z 1/2)) y) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* (/ 1 (pow z 1/2)) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (* (pow z -1/2) y) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 1 (pow z 1/2)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (pow z 1/2) #s(hole binary64 (sqrt z))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) z))) |
#s(approx (pow z -1/2) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (pow z 1/2) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (+ (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (* (* (pow z -1/2) y) 1/2) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) (/ x z) x z 1/2 (* (* (/ 1 (pow z 1/2)) y) 1/2) (* (/ 1 (pow z 1/2)) y) (/ 1 (pow z 1/2)) 1 (pow z 1/2) y (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (* (* (pow z -1/2) y) 1/2) (* (pow z -1/2) y) (pow z -1/2) -1/2) |
| 4.0ms | z | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) (/ x z) x z 1/2 (* (* (/ 1 (pow z 1/2)) y) 1/2) (* (/ 1 (pow z 1/2)) y) (/ 1 (pow z 1/2)) 1 (pow z 1/2) y (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (* (* (pow z -1/2) y) 1/2) (* (pow z -1/2) y) (pow z -1/2) -1/2) |
| 2.0ms | z | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) (/ x z) x z 1/2 (* (* (/ 1 (pow z 1/2)) y) 1/2) (* (/ 1 (pow z 1/2)) y) (/ 1 (pow z 1/2)) 1 (pow z 1/2) y (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (* (* (pow z -1/2) y) 1/2) (* (pow z -1/2) y) (pow z -1/2) -1/2) |
| 2.0ms | x | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) (/ x z) x z 1/2 (* (* (/ 1 (pow z 1/2)) y) 1/2) (* (/ 1 (pow z 1/2)) y) (/ 1 (pow z 1/2)) 1 (pow z 1/2) y (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (* (* (pow z -1/2) y) 1/2) (* (pow z -1/2) y) (pow z -1/2) -1/2) |
| 2.0ms | z | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) (/ x z) x z 1/2 (* (* (/ 1 (pow z 1/2)) y) 1/2) (* (/ 1 (pow z 1/2)) y) (/ 1 (pow z 1/2)) 1 (pow z 1/2) y (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (* (* (pow z -1/2) y) 1/2) (* (pow z -1/2) y) (pow z -1/2) -1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 1577 |
| 0 | 199 | 1352 |
| 0 | 727 | 1276 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) z)) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) z) |
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) |
(/.f64 x z) |
x |
z |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 z #s(literal 1/2 binary64)) |
y |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z) |
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) |
(pow.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#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 z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (/ x z) #s(hole binary64 (/ x z))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (* (/ 1 (pow z 1/2)) y) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* (/ 1 (pow z 1/2)) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (* (pow z -1/2) y) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 1 (pow z 1/2)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (pow z 1/2) #s(hole binary64 (sqrt z))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) z))) |
#s(approx (pow z -1/2) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (/ 1 (pow z 1/2)) y) 1/2)) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (pow z 1/2) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) #s(hole binary64 (+ (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (* (* (pow z -1/2) y) 1/2) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) z)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) z) |
(*.f64 z (fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(fma.f64 z (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(+.f64 (*.f64 z (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x z) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
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(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
x |
z |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) |
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(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) |
(*.f64 y (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
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(pow.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
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(sqrt.f64 (pow.f64 z #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
y |
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(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z))) |
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(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
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(-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
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(*.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) |
(*.f64 y (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64))) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) |
(sqrt.f64 (pow.f64 z #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64))) |
#s(literal -1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx x x) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
#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 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) x)) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) x)) |
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#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
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#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64)))))) |
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#s(approx (* (pow z -1/2) y) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y)) |
#s(approx y y) |
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#s(approx (* (pow z -1/2) y) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) y)) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) y)) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) y)) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) y)) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 1/2 binary64)))) y) #s(literal -1 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 1/2 binary64)))) y) #s(literal -1 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1/2 binary64) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) y) #s(literal -1 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 1/2 binary64)))) y) #s(literal -1 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1/2 binary64) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) y) #s(literal -1 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64)) z)) |
#s(approx z z) |
#s(approx (pow z -1/2) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (pow z 1/2) (pow.f64 z #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64)) z)) |
#s(approx (pow z -1/2) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) z)) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) z)) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 z #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal -1 binary64) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z) #s(literal -1 binary64))) |
#s(approx (pow z 1/2) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 z #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) z) (*.f64 (*.f64 #s(literal -1 binary64) z) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ x z) 1/2) (* (* (pow z -1/2) y) 1/2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
#s(approx (* (* (pow z -1/2) y) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (* (pow z -1/2) y) (*.f64 (*.f64 #s(literal -1 binary64) y) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (pow z -1/2) (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
Compiled 3 521 to 434 computations (87.7% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 112 | 1 | 113 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 1 | 1 | 2 |
| Total | 114 | 3 | 117 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ▶ | 82.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) z)) |
| ✓ | 82.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
Compiled 62 to 49 computations (21% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) z)) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) z) |
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 x z) |
x |
z |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(pow.f64 z #s(literal 1/2 binary64)) |
| 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 z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (/ x z) #s(hole binary64 (/ x 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 z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (/ (* 1 y) (pow z 1/2)) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (/ (* 1 y) (pow z 1/2)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* 1 y) #s(hole binary64 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 (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (pow z 1/2) #s(hole binary64 (sqrt z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (pow z 1/2) #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)))) (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) (/ x z) x z 1/2 (* (/ (* 1 y) (pow z 1/2)) 1/2) (/ (* 1 y) (pow z 1/2)) (* 1 y) 1 y (pow z 1/2)) |
| 2.0ms | z | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) (/ x z) x z 1/2 (* (/ (* 1 y) (pow z 1/2)) 1/2) (/ (* 1 y) (pow z 1/2)) (* 1 y) 1 y (pow z 1/2)) |
| 2.0ms | y | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) (/ x z) x z 1/2 (* (/ (* 1 y) (pow z 1/2)) 1/2) (/ (* 1 y) (pow z 1/2)) (* 1 y) 1 y (pow z 1/2)) |
| 1.0ms | x | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) (/ x z) x z 1/2 (* (/ (* 1 y) (pow z 1/2)) 1/2) (/ (* 1 y) (pow z 1/2)) (* 1 y) 1 y (pow z 1/2)) |
| 1.0ms | y | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) (/ x z) x z 1/2 (* (/ (* 1 y) (pow z 1/2)) 1/2) (/ (* 1 y) (pow z 1/2)) (* 1 y) 1 y (pow z 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 874 |
| 0 | 145 | 727 |
| 0 | 580 | 703 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) z)) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) z) |
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 x z) |
x |
z |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(pow.f64 z #s(literal 1/2 binary64)) |
#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 z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (/ x z) #s(hole binary64 (/ x 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 z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (/ (* 1 y) (pow z 1/2)) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (/ (* 1 y) (pow z 1/2)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* 1 y) #s(hole binary64 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 (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (pow z 1/2) #s(hole binary64 (sqrt z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (pow z 1/2) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) z)) |
(*.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) z) |
(*.f64 z (fma.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x z) (/.f64 y (pow.f64 z #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (*.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
x |
z |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 z #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 z #s(literal 1/2 binary64)))) |
(/.f64 y (pow.f64 z #s(literal 1/2 binary64))) |
y |
#s(literal 1 binary64) |
y |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) (*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) (fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx x x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) y) x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64)))))) |
#s(approx (* (/ (* 1 y) (pow z 1/2)) 1/2) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (/ (* 1 y) (pow z 1/2)) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y)) |
#s(approx (* 1 y) y) |
#s(approx (* 1 y) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) y)) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) y)) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 1/2 binary64)))) y) #s(literal -1 binary64))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 1/2 binary64)))) y) #s(literal -1 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)))) y) #s(literal -1 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) (/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x) #s(literal 1/2 binary64)) z)) |
#s(approx z z) |
#s(approx (pow z 1/2) (pow.f64 z #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) z)) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) (*.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 z #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal -1 binary64) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))))) |
#s(approx (* (+ (* (/ x z) 1/2) (* (/ (* 1 y) (pow z 1/2)) 1/2)) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z) #s(literal -1 binary64))) |
#s(approx (pow z 1/2) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
Compiled 2 216 to 288 computations (87% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 71 | 0 | 71 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 71 | 3 | 74 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ✓ | 82.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) z)) |
| ✓ | 82.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
Compiled 199 to 101 computations (49.2% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) |
(*.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)))) |
7 calls:
| 5.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 2.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (sqrt.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (sqrt.f64 z) |
| 99.8% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.8% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) |
7 calls:
| 6.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 2.0ms | (*.f64 y (sqrt.f64 z)) |
| 2.0ms | x |
| 2.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 2 | (sqrt.f64 z) |
| 93.8% | 3 | (*.f64 y (sqrt.f64 z)) |
| 85.1% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 85.1% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 95.3% | 3 | x |
| 91.6% | 3 | y |
| 92.7% | 2 | z |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) z)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
7 calls:
| 7.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 2.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 2.0ms | (sqrt.f64 z) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 82.0% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 82.0% | 1 | y |
| 82.0% | 1 | (*.f64 y (sqrt.f64 z)) |
| 82.0% | 1 | (sqrt.f64 z) |
| 82.0% | 1 | z |
| 82.0% | 1 | x |
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 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) z)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) z)) |
7 calls:
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | z |
| 1.0ms | (sqrt.f64 z) |
| 1.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 1.0ms | (*.f64 y (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 1 | (*.f64 y (sqrt.f64 z)) |
| 81.9% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 81.9% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 81.9% | 1 | x |
| 81.9% | 1 | (sqrt.f64 z) |
| 81.9% | 1 | y |
| 81.9% | 1 | z |
Compiled 25 to 34 computations (-36% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 6287406675059808.0 | 140409767715003040.0 |
| 17.0ms | -3.2946861596784785e+35 | -4.1648201220384655e+28 |
| 15.0ms | 224× | 0 | valid |
Compiled 657 to 534 computations (18.7% saved)
ival-mult: 3.0ms (39.3% of total)ival-div: 2.0ms (26.2% of total)ival-sqrt: 2.0ms (26.2% of total)ival-add: 1.0ms (13.1% 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 | 42 | 111 |
| 1 | 62 | 111 |
| 2 | 107 | 111 |
| 3 | 341 | 111 |
| 4 | 1520 | 111 |
| 5 | 6182 | 111 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(if (<=.f64 x #s(literal -120000000000000003793529864192 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 35000000000000000 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) z)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(if (<=.f64 x #s(literal -120000000000000003793529864192 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 35000000000000000 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) z)) |
| 1× | done |
Compiled 137 to 44 computations (67.9% saved)
Compiled 294 to 108 computations (63.3% saved)
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