
Time bar (total: 8.7s)
| 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)
| 805.0ms | 8 256× | 0 | valid |
| 232.0ms | 2 079× | 0 | invalid |
ival-mult!: 173.0ms (59.1% of total)ival-sqrt: 91.0ms (31.1% of total)ival-add!: 26.0ms (8.9% of total)adjust: 2.0ms (0.7% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 84 |
| 1 | 145 | 82 |
| 2 | 562 | 82 |
| 3 | 3661 | 82 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
Compiled 20 to 20 computations (0% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
x |
(*.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 1.0ms | z | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 1.0ms | y | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 1.0ms | x | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 1.0ms | z | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 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 y (sqrt.f64 z) x) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(*.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 y (sqrt.f64 z) x)) |
#s(approx x x) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ x (* y (sqrt z))) x) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 x (sqrt.f64 z)) (/.f64 y x) x)) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (-.f64 (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z)) #s(literal 1 binary64)) (neg.f64 x))) |
#s(approx (* y (sqrt z)) (*.f64 y (sqrt.f64 z))) |
#s(approx y y) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (-.f64 (neg.f64 (sqrt.f64 z)) (/.f64 x y)) (neg.f64 y))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) z)) (neg.f64 z))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y) (neg.f64 (/.f64 x z))) (neg.f64 z))) |
#s(approx (* y (sqrt z)) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z))) |
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
Compiled 221 to 93 computations (57.9% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 22 | 15 | 37 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 22 | 16 | 38 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 24.8% | (fma.f64 y (sqrt.f64 z) x) |
| 3.3% | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 17.7% | (*.f64 y (sqrt.f64 z)) | |
| 3.5% | (sqrt.f64 z) | |
| 85.7% | #s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) | |
| 78.5% | #s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) | |
| 88.8% | #s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) | |
| ▶ | 99.8% | #s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
| 53.8% | #s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) | |
| ▶ | 47.4% | #s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
| 10.4% | #s(approx (+ x (* y (sqrt z))) x) | |
| ▶ | 3.3% | #s(approx z z) |
| 5.4% | #s(approx y y) | |
| 3.3% | #s(literal 2 binary64) | |
| ▶ | 3.3% | #s(literal 1 binary64) |
Compiled 232 to 264 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
#s(literal 1/2 binary64) |
(fma.f64 y (sqrt.f64 z) x) |
y |
(sqrt.f64 z) |
z |
x |
#s(literal 1 binary64) |
#s(approx z z) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 x)) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #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 (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((/ (+ x (* y (sqrt z))) 2) (* 1/2 (+ (* y (sqrt z)) x)) 1/2 (+ (* y (sqrt z)) x) y (sqrt z) z x 1 z (/ (+ x (* y (sqrt z))) 2) (* 1/2 x)) |
| 1.0ms | x | @ | -inf | ((/ (+ x (* y (sqrt z))) 2) (* 1/2 (+ (* y (sqrt z)) x)) 1/2 (+ (* y (sqrt z)) x) y (sqrt z) z x 1 z (/ (+ x (* y (sqrt z))) 2) (* 1/2 x)) |
| 1.0ms | x | @ | inf | ((/ (+ x (* y (sqrt z))) 2) (* 1/2 (+ (* y (sqrt z)) x)) 1/2 (+ (* y (sqrt z)) x) y (sqrt z) z x 1 z (/ (+ x (* y (sqrt z))) 2) (* 1/2 x)) |
| 1.0ms | y | @ | -inf | ((/ (+ x (* y (sqrt z))) 2) (* 1/2 (+ (* y (sqrt z)) x)) 1/2 (+ (* y (sqrt z)) x) y (sqrt z) z x 1 z (/ (+ x (* y (sqrt z))) 2) (* 1/2 x)) |
| 1.0ms | x | @ | 0 | ((/ (+ x (* y (sqrt z))) 2) (* 1/2 (+ (* y (sqrt z)) x)) 1/2 (+ (* y (sqrt z)) x) y (sqrt z) z x 1 z (/ (+ x (* y (sqrt z))) 2) (* 1/2 x)) |
| Inputs |
|---|
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
#s(literal 1/2 binary64) |
(fma.f64 y (sqrt.f64 z) x) |
y |
(sqrt.f64 z) |
z |
x |
#s(literal 1 binary64) |
#s(approx z z) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 x)) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #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 (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
#s(literal 1/2 binary64) |
(fma.f64 y (sqrt.f64 z) x) |
y |
(sqrt.f64 z) |
z |
x |
#s(literal 1 binary64) |
#s(approx z z) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (+ (* y (sqrt z)) x) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ (* y (sqrt z)) x) (fma.f64 y (sqrt.f64 z) x)) |
#s(approx x x) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* y (sqrt z)) x) x) |
#s(approx (+ (* y (sqrt z)) x) (fma.f64 (*.f64 x (sqrt.f64 z)) (/.f64 y x) x)) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) |
#s(approx (+ (* y (sqrt z)) x) (*.f64 (-.f64 (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z)) #s(literal 1 binary64)) (neg.f64 x))) |
#s(approx y y) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ (* y (sqrt z)) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) (*.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ (* y (sqrt z)) x) (*.f64 (-.f64 (neg.f64 (sqrt.f64 z)) (/.f64 x y)) (neg.f64 y))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (+ (* y (sqrt z)) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) z)) (neg.f64 z))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (* 1/2 (+ (* y (sqrt z)) x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) z)) (neg.f64 z))) |
#s(approx (+ (* y (sqrt z)) x) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z))) |
#s(approx (+ (* y (sqrt z)) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y) (neg.f64 (/.f64 x z))) (neg.f64 z))) |
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
Compiled 304 to 100 computations (67.1% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 34 | 6 | 40 |
| Fresh | 6 | 4 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 41 | 15 | 56 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 24.8% | (fma.f64 y (sqrt.f64 z) x) |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 17.7% | (*.f64 y (sqrt.f64 z)) | |
| ▶ | 3.5% | (sqrt.f64 z) |
| 85.7% | #s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) | |
| 78.5% | #s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) | |
| ▶ | 88.8% | #s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
| ▶ | 53.8% | #s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| ✓ | 99.8% | #s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
| ✓ | 47.4% | #s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
| 10.4% | #s(approx (+ (* y (sqrt z)) x) x) | |
| ✓ | 3.3% | #s(approx z z) |
| ▶ | 5.4% | #s(approx y y) |
| 3.3% | #s(literal 2 binary64) | |
| ▶ | 3.3% | #s(literal 1/2 binary64) |
Compiled 195 to 219 computations (-12.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(/.f64 x y) |
x |
(sqrt.f64 z) |
z |
#s(approx y y) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
| Outputs |
|---|
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (* 1/2 y) (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 y) (+ (/ x y) (sqrt z))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (sqrt z))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* 1/2 y) (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 y) (+ (/ 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 y))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 y) (+ (/ 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 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (* 1/2 (* y (sqrt z))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* 1/2 y) (+ (/ x y) (sqrt z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* 1/2 y) (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 y) (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (* y (+ (sqrt z) (/ x y)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* 1/2 y) (+ (/ 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 (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (* 1/2 y) (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 y) (+ (/ 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 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* 1/2 (* y (sqrt z))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | 0 | ((/ (+ (* y (sqrt z)) x) 2) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) 1/2 y (+ (/ x y) (sqrt z)) (/ x y) x (sqrt z) z y (/ (+ (* y (sqrt z)) x) 2) (* 1/2 (* y (sqrt z))) (* y (sqrt z))) |
| 2.0ms | x | @ | inf | ((/ (+ (* y (sqrt z)) x) 2) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) 1/2 y (+ (/ x y) (sqrt z)) (/ x y) x (sqrt z) z y (/ (+ (* y (sqrt z)) x) 2) (* 1/2 (* y (sqrt z))) (* y (sqrt z))) |
| 2.0ms | y | @ | -inf | ((/ (+ (* y (sqrt z)) x) 2) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) 1/2 y (+ (/ x y) (sqrt z)) (/ x y) x (sqrt z) z y (/ (+ (* y (sqrt z)) x) 2) (* 1/2 (* y (sqrt z))) (* y (sqrt z))) |
| 2.0ms | z | @ | -inf | ((/ (+ (* y (sqrt z)) x) 2) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) 1/2 y (+ (/ x y) (sqrt z)) (/ x y) x (sqrt z) z y (/ (+ (* y (sqrt z)) x) 2) (* 1/2 (* y (sqrt z))) (* y (sqrt z))) |
| 2.0ms | z | @ | 0 | ((/ (+ (* y (sqrt z)) x) 2) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) 1/2 y (+ (/ x y) (sqrt z)) (/ x y) x (sqrt z) z y (/ (+ (* y (sqrt z)) x) 2) (* 1/2 (* y (sqrt z))) (* y (sqrt z))) |
| Inputs |
|---|
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(/.f64 x y) |
x |
(sqrt.f64 z) |
z |
#s(approx y y) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (* 1/2 y) (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 y) (+ (/ x y) (sqrt z))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (sqrt z))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* 1/2 y) (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 y) (+ (/ 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 y))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 y) (+ (/ 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 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (* 1/2 (* y (sqrt z))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* 1/2 y) (+ (/ x y) (sqrt z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* 1/2 y) (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 y) (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (* y (+ (sqrt z) (/ x y)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* 1/2 y) (+ (/ 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 (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (* 1/2 y) (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 y) (+ (/ 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 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* 1/2 (* y (sqrt z))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
| Outputs |
|---|
#s(approx (/ (+ x (* (sqrt z) y)) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(+.f64 (sqrt.f64 z) (/.f64 x y)) |
(/.f64 x y) |
x |
(sqrt.f64 z) |
z |
#s(approx y y) |
#s(approx (/ (+ x (* (sqrt z) y)) 2) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (sqrt.f64 z) y) |
#s(approx (/ (+ x (* (sqrt z) y)) 2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (/ x y) (sqrt z)) (sqrt.f64 z)) |
#s(approx (+ (/ x y) (sqrt z)) (+.f64 (sqrt.f64 z) (/.f64 x y))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx x x) |
#s(approx (/ (+ x (* (sqrt z) y)) 2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x (* (sqrt z) y)) 2) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (/ x y) (sqrt z)) (/.f64 x y)) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)) x)) |
#s(approx (/ (+ x (* (sqrt z) y)) 2) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (-.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))) |
#s(approx (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (/ x y) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) y)) |
#s(approx (* (sqrt z) (* 1/2 y)) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y))) |
#s(approx (* (sqrt z) y) (*.f64 (sqrt.f64 z) y)) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (/ (+ x (* (sqrt z) y)) 2) (*.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (/ (+ x (* (sqrt z) y)) 2) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 z y))) z)) |
#s(approx (/ (+ x (* (sqrt z) y)) 2) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ x (* (sqrt z) y)) 2) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) z)) (neg.f64 z))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) z)) (neg.f64 z))) |
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 z y)))) (neg.f64 z))) |
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
#s(approx (* (sqrt z) (* 1/2 y)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (* (sqrt z) y) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z))) |
Compiled 347 to 111 computations (68% saved)
17 alts after pruning (7 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 44 | 3 | 47 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 45 | 17 | 62 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 24.8% | (fma.f64 y (sqrt.f64 z) x) |
| ▶ | 3.1% | (/.f64 x y) |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 17.7% | (*.f64 (sqrt.f64 z) y) | |
| ▶ | 5.4% | (*.f64 #s(literal 1/2 binary64) y) |
| ✓ | 3.5% | (sqrt.f64 z) |
| ▶ | 85.7% | #s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
| 78.5% | #s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) | |
| ✓ | 88.8% | #s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
| ✓ | 53.8% | #s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| ✓ | 99.8% | #s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
| ✓ | 47.4% | #s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 10.4% | #s(approx (+ (* y (sqrt z)) x) x) |
| ✓ | 3.3% | #s(approx z z) |
| ✓ | 5.4% | #s(approx y y) |
| ▶ | 3.3% | #s(literal 2 binary64) |
| ✓ | 3.3% | #s(literal 1/2 binary64) |
Compiled 174 to 197 computations (-13.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (+ (* y (sqrt z)) x) x) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 x y) |
| Outputs |
|---|
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 x)) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | 0 | ((/ (+ (* y (sqrt z)) x) 2) (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) (* (/ y x) (sqrt z)) (/ y x) y x (sqrt z) z 1/2 2 (+ (* y (sqrt z)) x) (* 1/2 y) (/ x y)) |
| 5.0ms | y | @ | -inf | ((/ (+ (* y (sqrt z)) x) 2) (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) (* (/ y x) (sqrt z)) (/ y x) y x (sqrt z) z 1/2 2 (+ (* y (sqrt z)) x) (* 1/2 y) (/ x y)) |
| 4.0ms | x | @ | -inf | ((/ (+ (* y (sqrt z)) x) 2) (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) (* (/ y x) (sqrt z)) (/ y x) y x (sqrt z) z 1/2 2 (+ (* y (sqrt z)) x) (* 1/2 y) (/ x y)) |
| 4.0ms | z | @ | -inf | ((/ (+ (* y (sqrt z)) x) 2) (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) (* (/ y x) (sqrt z)) (/ y x) y x (sqrt z) z 1/2 2 (+ (* y (sqrt z)) x) (* 1/2 y) (/ x y)) |
| 3.0ms | z | @ | 0 | ((/ (+ (* y (sqrt z)) x) 2) (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) (* (/ y x) (sqrt z)) (/ y x) y x (sqrt z) z 1/2 2 (+ (* y (sqrt z)) x) (* 1/2 y) (/ x y)) |
| Inputs |
|---|
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (+ (* y (sqrt z)) x) x) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 x y) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 x)) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (* (/ y x) (sqrt z)) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ (* y (sqrt z)) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
| Outputs |
|---|
#s(approx (/ (+ (* (sqrt z) y) x) 2) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) x x) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (+ (* (sqrt z) y) x) x) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 x y) |
#s(approx (/ (+ (* (sqrt z) y) x) 2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (sqrt z) y) x) 2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* x (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* x (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2)) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))) |
#s(approx (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (* (sqrt z) (/ y x)) (*.f64 (/.f64 y x) (sqrt.f64 z))) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx x x) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (/ (+ (* (sqrt z) y) x) 2) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* x (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2)) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* x (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2)) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2) (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) x x)) |
#s(approx (/ (+ (* (sqrt z) y) x) 2) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) (neg.f64 x))) |
#s(approx (* x (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) (neg.f64 x))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (-.f64 (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z)) #s(literal 1 binary64)) (neg.f64 x))) |
#s(approx y y) |
#s(approx (* y 1/2) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ (* (sqrt z) y) x) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (* x (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) y)) |
#s(approx (/ (+ (* (sqrt z) y) x) 2) (*.f64 (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal -1/2 binary64)) (neg.f64 y))) |
#s(approx (* x (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2)) (*.f64 (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal -1/2 binary64)) (neg.f64 y))) |
#s(approx (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (-.f64 (neg.f64 (sqrt.f64 z)) (/.f64 x y)) (neg.f64 y))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (/ (+ (* (sqrt z) y) x) 2) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (* x (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2)) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1/2 binary64) z)) z)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) |
#s(approx (/ (+ (* (sqrt z) y) x) 2) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* (sqrt z) y) x) 2) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) z)) (neg.f64 z))) |
#s(approx (* x (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (* x (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) z)) (neg.f64 z))) |
#s(approx (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2) (*.f64 (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ 1/2 x) (* (sqrt z) y)) 1/2) (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (/.f64 y x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z))) |
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y) (neg.f64 (/.f64 x z))) (neg.f64 z))) |
Compiled 446 to 136 computations (69.5% saved)
18 alts after pruning (3 fresh and 15 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 2 | 53 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 10 | 10 |
| Total | 52 | 18 | 70 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 24.8% | (fma.f64 y (sqrt.f64 z) x) |
| 4.6% | (/.f64 y x) | |
| ✓ | 3.1% | (/.f64 x y) |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 17.7% | (*.f64 (sqrt.f64 z) y) | |
| ✓ | 5.4% | (*.f64 #s(literal 1/2 binary64) y) |
| ✓ | 3.5% | (sqrt.f64 z) |
| 78.5% | #s(approx (/ (+ (* (sqrt z) y) x) 2) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) | |
| ✓ | 85.7% | #s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
| ✓ | 88.8% | #s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
| ✓ | 53.8% | #s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| ✓ | 99.8% | #s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
| ✓ | 47.4% | #s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 10.4% | #s(approx (+ (* y (sqrt z)) x) x) |
| ✓ | 3.3% | #s(approx z z) |
| ✓ | 5.4% | #s(approx y y) |
| ✓ | 3.3% | #s(literal 2 binary64) |
| ✓ | 3.3% | #s(literal 1/2 binary64) |
Compiled 264 to 199 computations (24.6% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx y y) |
#s(approx z z) |
#s(approx (+ x (* y (sqrt z))) x) |
#s(approx (+ (* y (sqrt z)) x) x) |
(sqrt.f64 z) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(/.f64 x y) |
(/.f64 y x) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
(fma.f64 y (sqrt.f64 z) x) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (/ (+ (* (sqrt z) y) x) 2) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
7 calls:
| 70.0ms | (sqrt.f64 z) |
| 10.0ms | y |
| 9.0ms | (*.f64 y (sqrt.f64 z)) |
| 8.0ms | z |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (sqrt.f64 z) |
| 99.8% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.8% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx y y) |
#s(approx z z) |
#s(approx (+ x (* y (sqrt z))) x) |
#s(approx (+ (* y (sqrt z)) x) x) |
(sqrt.f64 z) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(/.f64 x y) |
(/.f64 y x) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
(fma.f64 y (sqrt.f64 z) x) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (/ (+ (* y (sqrt z)) x) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
7 calls:
| 42.0ms | (sqrt.f64 z) |
| 8.0ms | y |
| 8.0ms | x |
| 8.0ms | z |
| 8.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.1% | 2 | (sqrt.f64 z) |
| 79.8% | 3 | (*.f64 y (sqrt.f64 z)) |
| 59.6% | 3 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 59.6% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 74.9% | 3 | x |
| 77.8% | 3 | y |
| 66.1% | 2 | z |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx y y) |
#s(approx z z) |
#s(approx (+ x (* y (sqrt z))) x) |
#s(approx (+ (* y (sqrt z)) x) x) |
(sqrt.f64 z) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(/.f64 x y) |
(/.f64 y x) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
(fma.f64 y (sqrt.f64 z) x) |
| Outputs |
|---|
(fma.f64 y (sqrt.f64 z) x) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 y (sqrt.f64 z) x) |
7 calls:
| 10.0ms | y |
| 9.0ms | x |
| 9.0ms | (*.f64 y (sqrt.f64 z)) |
| 8.0ms | z |
| 5.0ms | (sqrt.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.6% | 3 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 54.6% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 49.9% | 2 | (sqrt.f64 z) |
| 49.9% | 2 | z |
| 51.0% | 3 | x |
| 56.4% | 3 | y |
| 56.8% | 3 | (*.f64 y (sqrt.f64 z)) |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx y y) |
#s(approx z z) |
#s(approx (+ x (* y (sqrt z))) x) |
#s(approx (+ (* y (sqrt z)) x) x) |
(sqrt.f64 z) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(/.f64 x y) |
(/.f64 y x) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
| Outputs |
|---|
(*.f64 y (sqrt.f64 z)) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 y (sqrt.f64 z)) |
1 calls:
| 5.0ms | (*.f64 y (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.5% | 3 | (*.f64 y (sqrt.f64 z)) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx y y) |
#s(approx z z) |
#s(approx (+ x (* y (sqrt z))) x) |
#s(approx (+ (* y (sqrt z)) x) x) |
(sqrt.f64 z) |
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(/.f64 x y) |
(/.f64 y x) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (sqrt z))) 2) (*.f64 #s(literal 1/2 binary64) x)) |
7 calls:
| 64.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 8.0ms | (*.f64 y (sqrt.f64 z)) |
| 7.0ms | x |
| 7.0ms | (sqrt.f64 z) |
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.4% | 1 | x |
| 47.4% | 1 | (sqrt.f64 z) |
| 47.4% | 1 | z |
| 47.4% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 47.4% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 47.4% | 1 | y |
| 47.4% | 1 | (*.f64 y (sqrt.f64 z)) |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx y y) |
#s(approx z z) |
#s(approx (+ x (* y (sqrt z))) x) |
#s(approx (+ (* y (sqrt z)) x) x) |
(sqrt.f64 z) |
| Outputs |
|---|
#s(approx (+ x (* y (sqrt z))) x) |
7 calls:
| 7.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 5.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 3.0ms | (sqrt.f64 z) |
| 3.0ms | x |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.4% | 1 | (sqrt.f64 z) |
| 10.4% | 1 | x |
| 10.4% | 1 | z |
| 10.4% | 1 | y |
| 10.4% | 1 | (*.f64 y (sqrt.f64 z)) |
| 10.4% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 10.4% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx y y) |
#s(approx z z) |
| Outputs |
|---|
#s(approx y y) |
7 calls:
| 5.0ms | (sqrt.f64 z) |
| 4.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.4% | 1 | (sqrt.f64 z) |
| 5.4% | 1 | z |
| 5.4% | 1 | x |
| 5.4% | 1 | (*.f64 y (sqrt.f64 z)) |
| 5.4% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 5.4% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 5.4% | 1 | y |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(literal 2 binary64) |
7 calls:
| 2.0ms | z |
| 2.0ms | (sqrt.f64 z) |
| 2.0ms | y |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.3% | 1 | (sqrt.f64 z) |
| 3.3% | 1 | z |
| 3.3% | 1 | x |
| 3.3% | 1 | y |
| 3.3% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 3.3% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 3.3% | 1 | (*.f64 y (sqrt.f64 z)) |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
7 calls:
| 5.0ms | y |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | (sqrt.f64 z) |
| 1.0ms | z |
| 1.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.3% | 1 | y |
| 3.3% | 1 | (*.f64 y (sqrt.f64 z)) |
| 3.3% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 3.3% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 3.3% | 1 | x |
| 3.3% | 1 | (sqrt.f64 z) |
| 3.3% | 1 | z |
Compiled 25 to 34 computations (-36% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
7 calls:
| 1.0ms | (*.f64 y (sqrt.f64 z)) |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | (sqrt.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.3% | 1 | (sqrt.f64 z) |
| 3.3% | 1 | z |
| 3.3% | 1 | x |
| 3.3% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 3.3% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 3.3% | 1 | (*.f64 y (sqrt.f64 z)) |
| 3.3% | 1 | y |
Compiled 25 to 34 computations (-36% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.214545481569778e+38 | 1.3626311470651797e+48 |
| 0.0ms | -2.346659202985478e+41 | -1.902094573325967e+41 |
Compiled 13 to 16 computations (-23.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0537291250422345e+103 | 2.4262241311769203e+107 |
| 0.0ms | -2.7736240240981662e+144 | -5.9109201216238e+138 |
Compiled 13 to 16 computations (-23.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0537291250422345e+103 | 2.4262241311769203e+107 |
| 0.0ms | -2.7736240240981662e+144 | -5.9109201216238e+138 |
Compiled 13 to 16 computations (-23.1% saved)
| 1× | fuel |
Compiled 58 to 36 computations (37.9% saved)
Compiled 68 to 46 computations (32.4% saved)
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