
Time bar (total: 8.1s)
| 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)
| 4.6s | 8 256× | 0 | valid |
| 135.0ms | 2 081× | 0 | invalid |
ival-div: 552.0ms (59.3% of total)ival-mult: 179.0ms (19.2% of total)ival-sqrt: 91.0ms (9.8% of total)ival-add: 86.0ms (9.2% of total)exact: 9.0ms (1% of total)ival-true: 7.0ms (0.8% of total)ival-assert: 4.0ms (0.4% of total)adjust: 3.0ms (0.3% 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 |
| 63.0ms | 512× | 0 | valid |
Compiled 74 to 34 computations (54.1% saved)
ival-mult: 6.0ms (33.8% of total)ival-sqrt: 4.0ms (22.5% of total)ival-div: 3.0ms (16.9% of total)ival-add: 2.0ms (11.3% of total)ival-true: 1.0ms (5.6% of total)exact: 1.0ms (5.6% of total)adjust: 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)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (sqrt.f64 z)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) | |
| cost-diff | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 0 | 16 | 26 |
| 1 | 31 | 26 |
| 2 | 63 | 26 |
| 3 | 122 | 26 |
| 4 | 235 | 26 |
| 5 | 554 | 26 |
| 6 | 4028 | 26 |
| 0 | 8490 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
x |
(*.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
| 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)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 z) y x) |
x |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
y |
(sqrt.f64 z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.00390625 | (+.f64 x (*.f64 y (sqrt.f64 z))) | |
| accuracy | 0.171875 | (*.f64 y (sqrt.f64 z)) |
| 17.0ms | 256× | 0 | valid |
Compiled 32 to 12 computations (62.5% saved)
ival-mult: 3.0ms (36.4% of total)ival-div: 2.0ms (24.3% of total)ival-sqrt: 2.0ms (24.3% of total)ival-add: 1.0ms (12.1% 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)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
| Outputs |
|---|
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #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 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 (* 1/2 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 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#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 (* 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 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ 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 (+ 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* (/ 1 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 (* 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) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 1.0ms | z | @ | inf | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 1.0ms | y | @ | 0 | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 1.0ms | y | @ | -inf | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 1.0ms | y | @ | inf | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 375 |
| 1 | 312 | 375 |
| 2 | 1166 | 375 |
| 0 | 3132 | 343 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #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 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 (* 1/2 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 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#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 (* 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 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ 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 (+ 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* (/ 1 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 (* 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 |
|---|
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x)) |
#s(approx (+ x (* y (sqrt z))) x) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x 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 (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 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 (* (/ 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)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y)) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 0 | 16 | 21 |
| 1 | 46 | 21 |
| 0 | 271 | 19 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(+.f64 (*.f64 (sqrt.f64 z) y) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z))) |
(+.f64 x (*.f64 (sqrt.f64 z) y)) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(*.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))) |
Compiled 956 to 187 computations (80.4% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 50 | 7 | 57 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 51 | 7 | 58 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))))) | |
| ▶ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ▶ | 89.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
| 82.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) | |
| ▶ | 50.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
| ▶ | 50.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 214 to 184 computations (14% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 z) y x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 z) y) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (*.f64 y (sqrt.f64 z)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) | |
| cost-diff | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 146 |
| 0 | 40 | 141 |
| 1 | 66 | 141 |
| 2 | 117 | 141 |
| 3 | 305 | 141 |
| 4 | 1230 | 141 |
| 5 | 5558 | 141 |
| 0 | 8094 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(literal 1/2 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)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 z) y x) |
x |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
y |
(sqrt.f64 z) |
z |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) | |
| accuracy | 2.431337825029739 | (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) | |
| accuracy | 4.29313579855176 | (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) | |
| accuracy | 0.0 | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.109375 | (fma.f64 (sqrt.f64 z) y x) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.01171875 | (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) | |
| accuracy | 0.171875 | (*.f64 (sqrt.f64 z) y) | |
| accuracy | 31.91447129344985 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 31.40877242885249 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.00390625 | (+.f64 x (*.f64 y (sqrt.f64 z))) | |
| accuracy | 0.171875 | (*.f64 y (sqrt.f64 z)) |
| 68.0ms | 256× | 0 | valid |
Compiled 136 to 24 computations (82.4% saved)
ival-mult: 39.0ms (81.1% of total)ival-div: 3.0ms (6.2% of total)ival-add: 3.0ms (6.2% of total)ival-sqrt: 2.0ms (4.2% 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)| Inputs |
|---|
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (+ 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 (* 1/2 x))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* 1/2 (* (sqrt z) y)) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z)))) |
#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 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 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 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* 1/2 (+ 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 (* 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))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* 1/2 (* (sqrt z) y)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 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) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (sqrt z) y)) (* (sqrt z) y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1)) |
| 2.0ms | z | @ | -inf | ((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (sqrt z) y)) (* (sqrt z) y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1)) |
| 2.0ms | z | @ | 0 | ((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (sqrt z) y)) (* (sqrt z) y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1)) |
| 2.0ms | y | @ | -inf | ((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (sqrt z) y)) (* (sqrt z) y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1)) |
| 2.0ms | y | @ | 0 | ((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (sqrt z) y)) (* (sqrt z) y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 1468 |
| 1 | 555 | 1460 |
| 2 | 1942 | 1436 |
| 0 | 6919 | 1294 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (+ 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 (* 1/2 x))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* 1/2 (* (sqrt z) y)) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z)))) |
#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 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 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 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* 1/2 (+ 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 (* 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))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* 1/2 (* (sqrt z) y)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 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) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
| Outputs |
|---|
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x)) |
#s(approx (+ x (* y (sqrt z))) x) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x)) |
#s(approx (+ x (* y (sqrt z))) x) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(literal 1/2 binary64)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y)) |
#s(approx (* 1/2 (* (sqrt z) y)) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* 1/2 (* (sqrt z) y)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y)) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (* (sqrt z) y)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* 1/2 (* (sqrt z) y)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 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) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 119 |
| 0 | 40 | 114 |
| 1 | 110 | 114 |
| 0 | 573 | 114 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sqrt.f64 z) y) x))) |
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sqrt.f64 z) y) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z))) |
(+.f64 x (*.f64 (sqrt.f64 z) y)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(*.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 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sqrt.f64 z) y) x))) |
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sqrt.f64 z) y) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z))) |
(+.f64 x (*.f64 (sqrt.f64 z) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
(*.f64 x (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
Compiled 2 947 to 451 computations (84.7% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 4 | 138 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 135 | 10 | 145 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ▶ | 95.1% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
| ✓ | 89.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
| ▶ | 89.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
| ▶ | 43.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)) |
| ▶ | 82.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) |
| ▶ | 49.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y))) |
| ✓ | 50.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
| ✓ | 50.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 300 to 239 computations (20.3% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y))) | |
| cost-diff | 5 | (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) z) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) | |
| cost-diff | 0 | (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) | |
| cost-diff | 0 | #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 327 |
| 0 | 69 | 305 |
| 1 | 126 | 303 |
| 2 | 330 | 303 |
| 3 | 1406 | 303 |
| 4 | 5644 | 303 |
| 0 | 8480 | 297 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(*.f64 z y) |
z |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) |
y |
(/.f64 (sqrt.f64 z) x) |
(sqrt.f64 z) |
z |
x |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
(*.f64 #s(literal 1/2 binary64) z) |
#s(literal 1/2 binary64) |
z |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
y |
(/.f64 x z) |
x |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 z #s(literal 1/4 binary64)) |
z |
#s(literal 1/4 binary64) |
y |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x) |
(*.f64 z y) |
z |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) |
y |
(/.f64 (sqrt.f64 z) x) |
(sqrt.f64 z) |
z |
x |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) (*.f64 z #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 z #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
z |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
y |
(/.f64 x z) |
x |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(sqrt.f64 z) |
(pow.f64 z #s(literal 1/4 binary64)) |
z |
#s(literal 1/4 binary64) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)) | |
| accuracy | 0.171875 | (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y) | |
| accuracy | 0.4925575683790941 | (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) | |
| accuracy | 31.91447129344985 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y))) | |
| accuracy | 0.0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) | |
| accuracy | 0.10546875 | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.1171875 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) | |
| accuracy | 10.94846233669867 | (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) | |
| accuracy | 0.0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) | |
| accuracy | 0.20703125 | (/.f64 (sqrt.f64 z) x) | |
| accuracy | 2.207603467360109 | (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) | |
| accuracy | 4.29313579855176 | (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) | |
| accuracy | 0.171875 | (*.f64 (sqrt.f64 z) y) | |
| accuracy | 3.092582737337019 | (/.f64 (*.f64 (sqrt.f64 z) y) x) | |
| accuracy | 4.29313579855176 | (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x) | |
| accuracy | 31.763251860908614 | #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) | |
| accuracy | 0.0 | #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) | |
| accuracy | 0.10546875 | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 3.1545930052006876 | (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
| 201.0ms | 256× | 0 | valid |
Compiled 244 to 41 computations (83.2% saved)
ival-mult: 87.0ms (64.5% of total)ival-pow: 26.0ms (19.3% of total)ival-div: 9.0ms (6.7% of total)ival-add: 8.0ms (5.9% of total)ival-sqrt: 4.0ms (3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(*.f64 z y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
(*.f64 #s(literal 1/2 binary64) z) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(/.f64 (sqrt.f64 z) x) |
| Outputs |
|---|
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ 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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (+ x (* y (sqrt 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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* (/ 1 x) (sqrt z)))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 x)) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* 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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (pow z 1/4) (pow z 1/4)) y) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (sqrt z))) |
#s(approx (sqrt (/ 1 z)) #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 (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x 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 (* 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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z)))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ 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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 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) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 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 (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 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 (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (pow z 1/4) (pow z 1/4)) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | z | @ | -inf | ((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) (* (+ (* y (/ (sqrt z) x)) 1) 1/2) (+ (* y (/ (sqrt z) x)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (pow z 1/4) (pow z 1/4)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) (* (* (pow z 1/4) (pow z 1/4)) y) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ (sqrt z) x)) |
| 5.0ms | x | @ | inf | ((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) (* (+ (* y (/ (sqrt z) x)) 1) 1/2) (+ (* y (/ (sqrt z) x)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (pow z 1/4) (pow z 1/4)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) (* (* (pow z 1/4) (pow z 1/4)) y) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ (sqrt z) x)) |
| 4.0ms | y | @ | 0 | ((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) (* (+ (* y (/ (sqrt z) x)) 1) 1/2) (+ (* y (/ (sqrt z) x)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (pow z 1/4) (pow z 1/4)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) (* (* (pow z 1/4) (pow z 1/4)) y) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ (sqrt z) x)) |
| 4.0ms | z | @ | 0 | ((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) (* (+ (* y (/ (sqrt z) x)) 1) 1/2) (+ (* y (/ (sqrt z) x)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (pow z 1/4) (pow z 1/4)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) (* (* (pow z 1/4) (pow z 1/4)) y) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ (sqrt z) x)) |
| 3.0ms | y | @ | -inf | ((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) (* (+ (* y (/ (sqrt z) x)) 1) 1/2) (+ (* y (/ (sqrt z) x)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (pow z 1/4) (pow z 1/4)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) (* (* (pow z 1/4) (pow z 1/4)) y) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ (sqrt z) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 295 | 2440 |
| 1 | 768 | 2378 |
| 2 | 2783 | 2326 |
| 0 | 8245 | 2119 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (+ x (* y (sqrt 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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* (/ 1 x) (sqrt z)))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 x)) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* 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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (pow z 1/4) (pow z 1/4)) y) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (sqrt z))) |
#s(approx (sqrt (/ 1 z)) #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 (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x 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 (* 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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z)))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ 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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 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) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 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 (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 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 (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (pow z 1/4) (pow z 1/4)) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
| Outputs |
|---|
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (/ (* (sqrt z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* (/ 1 x) (sqrt z)))) |
#s(approx (/ (sqrt z) x) (/.f64 (sqrt.f64 z) x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x)) |
#s(approx (+ x (* y (sqrt z))) x) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 x)) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) x) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(literal 1/2 binary64)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(literal 1/2 binary64)) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 x z)) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (* z y) (*.f64 z y)) |
#s(approx (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (* (pow z 1/4) (pow z 1/4)) y) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (sqrt z) y) (*.f64 (sqrt.f64 z) y)) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (sqrt z) y) (*.f64 (sqrt.f64 z) y)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z))) |
#s(approx (* 1/2 z) (*.f64 #s(literal 1/2 binary64) z)) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) |
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (sqrt z))) |
#s(approx (* (pow z 1/4) (pow z 1/4)) (sqrt.f64 z)) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 z (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 z (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z)))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) (*.f64 (neg.f64 y) (sqrt.f64 z))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))))) |
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) (fma.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 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) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 z (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 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) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 z (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 x)))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (pow z 1/4) (pow z 1/4)) (sqrt.f64 z)) |
#s(approx (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (* (pow z 1/4) (pow z 1/4)) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (sqrt z) y) (*.f64 (sqrt.f64 z) y)) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#s(approx (sqrt (/ 1 z)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (/ (* (sqrt z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (sqrt z) y) (*.f64 (sqrt.f64 z) y)) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (/ (sqrt z) x) (/.f64 (sqrt.f64 z) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 284 |
| 0 | 69 | 260 |
| 0 | 217 | 254 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(*.f64 z y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
(*.f64 #s(literal 1/2 binary64) z) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(/.f64 (sqrt.f64 z) x) |
| Outputs |
|---|
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y) x))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y) x) |
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) x) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y))) |
(*.f64 z y) |
(*.f64 y z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) (*.f64 (/.f64 (sqrt.f64 z) x) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) (*.f64 z #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 z #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) (*.f64 z #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 x z))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 z #s(literal 1/2 binary64))) (*.f64 (/.f64 x z) (*.f64 z #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 x z))) |
(*.f64 z #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) z) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x z)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z)) |
(+.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 z #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 z #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(sqrt.f64 (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(*.f64 (sqrt.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(*.f64 y (/.f64 (sqrt.f64 z) x)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (neg.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x)) |
(/.f64 (sqrt.f64 z) x) |
Compiled 3 162 to 442 computations (86% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 118 | 4 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 122 | 10 | 132 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ✓ | 95.1% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
| ▶ | 93.3% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x))) |
| ✓ | 89.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
| ▶ | 39.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)) |
| ▶ | 39.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x)) |
| ▶ | 44.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) |
| ✓ | 50.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
| ✓ | 50.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 196 to 155 computations (20.9% saved)
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) | |
| cost-diff | 0 | #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x))) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) | |
| cost-diff | 0 | #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) z) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 337 |
| 0 | 63 | 337 |
| 1 | 103 | 329 |
| 2 | 190 | 329 |
| 3 | 417 | 329 |
| 4 | 1769 | 329 |
| 5 | 5728 | 329 |
| 0 | 8107 | 313 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 #s(literal 1/2 binary64) z) |
#s(literal 1/2 binary64) |
z |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
y |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(/.f64 (sqrt.f64 z) x) |
(sqrt.f64 z) |
z |
x |
y |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x))) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)) |
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) |
z |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
y |
x |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 z #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
y |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(/.f64 (sqrt.f64 z) x) |
(sqrt.f64 z) |
z |
x |
y |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) |
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) |
(fma.f64 (/.f64 y (sqrt.f64 z)) z x) |
z |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
(/.f64 y (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
y |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)) | |
| accuracy | 0.23046875 | (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) | |
| accuracy | 0.234375 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) | |
| accuracy | 4.217352074593678 | (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) | |
| accuracy | 0.20703125 | (/.f64 (sqrt.f64 z) x) | |
| accuracy | 3.0822919818313883 | (*.f64 (/.f64 (sqrt.f64 z) x) y) | |
| accuracy | 4.29313579855176 | (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x) | |
| accuracy | 31.763251860908614 | #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) | |
| accuracy | 0.0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x)) | |
| accuracy | 3.739600842267137 | (*.f64 (/.f64 y x) (sqrt.f64 z)) | |
| accuracy | 4.29313579855176 | (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x) | |
| accuracy | 31.763251860908614 | #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) | |
| accuracy | 0.10546875 | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.234375 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) | |
| accuracy | 10.94846233669867 | (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) | |
| accuracy | 31.193109470820602 | #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) |
| 61.0ms | 256× | 0 | valid |
Compiled 208 to 32 computations (84.6% saved)
ival-mult: 20.0ms (51% of total)ival-div: 10.0ms (25.5% of total)ival-add: 5.0ms (12.8% of total)ival-sqrt: 4.0ms (10.2% 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)| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 #s(literal 1/2 binary64) z) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)) |
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(/.f64 (sqrt.f64 z) x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (* 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (* (/ (sqrt z) x) y) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* (/ 1 x) (sqrt z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 x)) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* (sqrt (/ 1 z)) 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 (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (/ 1 (sqrt z)) #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 (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 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) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
#s(approx (* 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z))))))) |
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (/ (sqrt z) x) y) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | z | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 (sqrt z)) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* z (* (/ 1 (sqrt z)) y)) x) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* (/ y x) (sqrt z)) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (/ 1 (sqrt z))) |
| 4.0ms | z | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 (sqrt z)) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* z (* (/ 1 (sqrt z)) y)) x) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* (/ y x) (sqrt z)) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (/ 1 (sqrt z))) |
| 3.0ms | z | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 (sqrt z)) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* z (* (/ 1 (sqrt z)) y)) x) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* (/ y x) (sqrt z)) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (/ 1 (sqrt z))) |
| 2.0ms | y | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 (sqrt z)) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* z (* (/ 1 (sqrt z)) y)) x) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* (/ y x) (sqrt z)) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (/ 1 (sqrt z))) |
| 2.0ms | x | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 (sqrt z)) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* z (* (/ 1 (sqrt z)) y)) x) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* (/ y x) (sqrt z)) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (/ 1 (sqrt z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 250 | 1851 |
| 1 | 700 | 1792 |
| 2 | 2549 | 1746 |
| 0 | 7312 | 1590 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (* 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (* (/ (sqrt z) x) y) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* (/ 1 x) (sqrt z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 x)) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* (sqrt (/ 1 z)) 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 (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (/ 1 (sqrt z)) #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 (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 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) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
#s(approx (* 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z))))))) |
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (/ (sqrt z) x) y) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt 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)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (* (/ (sqrt z) x) y) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (* (/ (sqrt z) x) y) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (* (/ (sqrt z) x) y) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* (/ 1 x) (sqrt z)))) |
#s(approx (/ (sqrt z) x) (/.f64 (sqrt.f64 z) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 x z)) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(literal 1/2 binary64)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x)) |
#s(approx (+ x (* y (sqrt z))) x) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 x)) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) x) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* (/ 1 (sqrt z)) y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) |
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* (sqrt (/ 1 z)) y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z))) |
#s(approx (* 1/2 z) (*.f64 z #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (/ 1 (sqrt z)) (sqrt.f64 (/.f64 #s(literal 1 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 (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#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)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
#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)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z))))))) |
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (* (sqrt (/ 1 z)) y) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#s(approx (sqrt (/ 1 z)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (/ (sqrt z) x) y) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (* (/ (sqrt z) x) y) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (/ (sqrt z) x) y) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (/ (sqrt z) x) (/.f64 (sqrt.f64 z) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 308 |
| 0 | 63 | 308 |
| 1 | 168 | 284 |
| 0 | 977 | 271 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 #s(literal 1/2 binary64) z) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)) |
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(/.f64 (sqrt.f64 z) x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) (*.f64 z #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z) |
(*.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) z) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 (*.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z)))) |
(*.f64 z (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) z)) |
(*.f64 z #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) z) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) |
(*.f64 (*.f64 x #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) |
(*.f64 (*.f64 x #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)) |
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) |
(*.f64 y (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))) |
(/.f64 y (sqrt.f64 z)) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 z y) (pow.f64 z #s(literal -1/2 binary64)) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x) |
(fma.f64 (/.f64 y (sqrt.f64 z)) z x) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x) |
(fma.f64 z (/.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z)) y)) |
(-.f64 x (*.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) z)) |
(-.f64 x (*.f64 (neg.f64 z) (/.f64 y (sqrt.f64 z)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x) |
(+.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) |
(*.f64 y (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))) |
(/.f64 y (sqrt.f64 z)) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #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))) |
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(sqrt.f64 (pow.f64 z #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(*.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))) |
(*.f64 y (/.f64 (sqrt.f64 z) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(*.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))) |
(*.f64 y (/.f64 (sqrt.f64 z) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x)) |
(/.f64 (sqrt.f64 z) x) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x)) |
(neg.f64 (/.f64 (sqrt.f64 z) (neg.f64 x))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #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))) |
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(sqrt.f64 (pow.f64 z #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
Compiled 3 600 to 539 computations (85% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 123 | 2 | 125 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 1 | 5 | 6 |
| Total | 126 | 9 | 135 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 93.4% | (*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64)) | |
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ✓ | 95.1% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
| ✓ | 39.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)) |
| 44.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) z) #s(literal 1/2 binary64))) | |
| ✓ | 44.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) |
| ✓ | 50.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
| ✓ | 50.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 537 to 232 computations (56.8% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) z) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
7 calls:
| 7.0ms | z |
| 7.0ms | (*.f64 y (sqrt.f64 z)) |
| 5.0ms | (sqrt.f64 z) |
| 5.0ms | y |
| 5.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (sqrt.f64 z) |
| 99.8% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.8% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
7 calls:
| 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 |
| 2.0ms | z |
| 2.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (sqrt.f64 z) |
| 99.8% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.8% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
7 calls:
| 4.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 3.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 1.0ms | x |
| 1.0ms | (sqrt.f64 z) |
| 1.0ms | (*.f64 y (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.7% | 2 | (sqrt.f64 z) |
| 79.1% | 3 | (*.f64 y (sqrt.f64 z)) |
| 64.6% | 5 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 64.6% | 5 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 79.4% | 3 | x |
| 74.6% | 3 | y |
| 62.7% | 2 | z |
Compiled 25 to 34 computations (-36% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
7 calls:
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | z |
| 1.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 1.0ms | (sqrt.f64 z) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.9% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 50.9% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 50.9% | 1 | (sqrt.f64 z) |
| 50.9% | 1 | z |
| 50.9% | 1 | y |
| 50.9% | 1 | (*.f64 y (sqrt.f64 z)) |
| 50.9% | 1 | x |
Compiled 25 to 34 computations (-36% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 5398244373.259462 | 1163935619179564.8 |
| 15.0ms | -0.005129321848219433 | -3.856637594711638e-7 |
| 18.0ms | 272× | 0 | valid |
Compiled 540 to 526 computations (2.6% saved)
ival-mult: 3.0ms (34% of total)ival-div: 2.0ms (22.7% of total)ival-sqrt: 2.0ms (22.7% of total)ival-add: 1.0ms (11.3% 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 | 28 | 63 |
| 1 | 48 | 63 |
| 2 | 93 | 63 |
| 3 | 327 | 63 |
| 4 | 1506 | 63 |
| 5 | 6183 | 63 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(if (<=.f64 x #s(literal -2508757194024499/73786976294838206464 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 3250000000000 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(if (<=.f64 x #s(literal -2508757194024499/73786976294838206464 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 3250000000000 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)))) |
(if (or (<=.f64 x #s(literal -2508757194024499/73786976294838206464 binary64)) (not (<=.f64 x #s(literal 3250000000000 binary64)))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| 1× | fuel |
Compiled 69 to 29 computations (58% saved)
Compiled 158 to 78 computations (50.6% saved)
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