
Time bar (total: 8.4s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 4 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 5 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 6 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 7 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 8 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 9 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 10 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 11 |
| 97% | 50% | 1.6% | 0.1% | 0% | 48.4% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 618.0ms | 8 254× | 0 | valid |
| 12.0ms | 269× | 0 | invalid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sqrt: 65.0ms (27.4% of total)ival-mult: 62.0ms (26.1% of total)ival-sub: 60.0ms (25.3% of total)ival-add: 35.0ms (14.7% of total)ival-true: 6.0ms (2.5% of total)exact: 5.0ms (2.1% of total)ival-assert: 3.0ms (1.3% of total)adjust: 0.0ms (0% of total)| 1× | egg-herbie |
| 336× | lower-fma.f64 |
| 336× | lower-fma.f32 |
| 212× | sub-neg |
| 180× | cancel-sign-sub-inv |
| 178× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 48 |
| 1 | 54 | 43 |
| 2 | 160 | 42 |
| 3 | 433 | 42 |
| 4 | 878 | 42 |
| 5 | 1222 | 42 |
| 6 | 1337 | 42 |
| 7 | 1357 | 42 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 19 | 8 |
| 2 | 38 | 8 |
| 3 | 65 | 8 |
| 4 | 129 | 8 |
| 5 | 247 | 8 |
| 6 | 389 | 8 |
| 7 | 437 | 8 |
| 8 | 460 | 8 |
| 0 | 460 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y (sqrt.f64 x)) |
| 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 |
| 31.0ms | 512× | 0 | valid |
Compiled 64 to 32 computations (50% saved)
ival-sub: 5.0ms (32.2% of total)ival-sqrt: 4.0ms (25.8% of total)ival-mult: 3.0ms (19.3% of total)ival-add: 2.0ms (12.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 y (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 336× | lower-fma.f64 |
| 336× | lower-fma.f32 |
| 144× | lower-*.f32 |
| 142× | lower-*.f64 |
| 112× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 19 | 20 |
| 2 | 38 | 20 |
| 3 | 65 | 20 |
| 4 | 129 | 20 |
| 5 | 247 | 20 |
| 6 | 389 | 20 |
| 7 | 437 | 20 |
| 8 | 460 | 20 |
| 0 | 460 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| ✓ | accuracy | 99.6% | (*.f64 y (sqrt.f64 x)) |
| 13.0ms | 256× | 0 | valid |
Compiled 22 to 9 computations (59.1% saved)
ival-sub: 2.0ms (30.6% of total)ival-mult: 2.0ms (30.6% of total)ival-sqrt: 2.0ms (30.6% of total)ival-add: 1.0ms (15.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt (*.f64 y (sqrt.f64 x))> |
#<alt (sqrt.f64 x)> |
| Outputs |
|---|
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (* (sqrt x) y)> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+ (- 1 x) (* y (sqrt x))) |
| 0.0ms | x | @ | inf | (+ (- 1 x) (* y (sqrt x))) |
| 0.0ms | x | @ | 0 | (+ (- 1 x) (* y (sqrt x))) |
| 0.0ms | y | @ | 0 | (+ (- 1 x) (* y (sqrt x))) |
| 0.0ms | y | @ | inf | (+ (- 1 x) (* y (sqrt x))) |
| 1× | batch-egg-rewrite |
| 6 324× | lower-fma.f64 |
| 6 324× | lower-fma.f32 |
| 4 236× | lower-*.f32 |
| 4 234× | lower-*.f64 |
| 2 084× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 0 | 11 | 17 |
| 1 | 46 | 17 |
| 2 | 357 | 17 |
| 3 | 5315 | 17 |
| 0 | 8974 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
(+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 x)) |
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 y (sqrt.f64 x)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))) (fma.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (fma.f64 y (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(-.f64 (fma.f64 y (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 x #s(literal -1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
(fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 x) y (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 x) (exp.f64 (log.f64 y)) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 x x x))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) x (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) (neg.f64 y) x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 y (sqrt.f64 x))) |
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x x)))) (exp.f64 (log1p.f64 (fma.f64 x x x)))) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x x))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (exp.f64 (log.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 x x x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x x)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))))) |
(*.f64 (exp.f64 (log1p.f64 (neg.f64 (*.f64 x x)))) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (sqrt.f64 x) (exp.f64 (log.f64 y))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 x)) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) |
(sqrt.f64 x) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 7 542× | lower-fma.f64 |
| 7 542× | lower-fma.f32 |
| 2 696× | lower-*.f64 |
| 2 696× | lower-*.f32 |
| 1 866× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 369 |
| 1 | 141 | 369 |
| 2 | 438 | 357 |
| 3 | 1298 | 357 |
| 4 | 4657 | 357 |
| 5 | 7379 | 357 |
| 0 | 8084 | 330 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(* (sqrt x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Compiled 7 322 to 715 computations (90.2% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 315 | 9 | 324 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 316 | 9 | 325 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.8% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ▶ | 36.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)))) (fma.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64))) |
| ▶ | 99.9% | (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
| ▶ | 68.4% | (-.f64 #s(literal 1 binary64) x) |
| 99.8% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) | |
| ▶ | 56.3% | (*.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
| 44.7% | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) | |
| 34.3% | (*.f64 (sqrt.f64 x) y) | |
| 64.2% | (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
Compiled 290 to 150 computations (48.3% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)))) (fma.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)))) |
| ✓ | cost-diff | 256 | (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
| ✓ | cost-diff | 3456 | (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
| 14 162× | lower-fma.f32 |
| 14 152× | lower-fma.f64 |
| 3 884× | lower--.f32 |
| 3 876× | lower--.f64 |
| 2 858× | lower-+.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 243 |
| 0 | 43 | 177 |
| 1 | 96 | 173 |
| 2 | 248 | 173 |
| 3 | 1088 | 173 |
| 4 | 3365 | 173 |
| 0 | 8210 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
y |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
y |
#s(literal 1 binary64) |
(*.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
(fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) |
y |
(sqrt.f64 x) |
x |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) |
(fma.f64 y (sqrt.f64 x) x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)))) (fma.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))) |
(fma.f64 (sqrt.f64 x) (neg.f64 y) x) |
(sqrt.f64 x) |
x |
(neg.f64 y) |
y |
(*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)) |
(fma.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) |
(fma.f64 y (sqrt.f64 x) x) |
| Outputs |
|---|
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
y |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
y |
#s(literal 1 binary64) |
(*.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
y |
(sqrt.f64 x) |
x |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) |
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(fma.f64 y (sqrt.f64 x) x) |
(fma.f64 (sqrt.f64 x) y x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)))) (fma.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 x (fma.f64 y y x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64))) (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (fma.f64 (sqrt.f64 x) (neg.f64 y) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)))) |
(fma.f64 (fma.f64 x (fma.f64 y y x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64))) (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))) |
(*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 x (fma.f64 y y x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64)))) |
(fma.f64 (sqrt.f64 x) (neg.f64 y) x) |
(sqrt.f64 x) |
x |
(neg.f64 y) |
y |
(*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)) |
(fma.f64 x (fma.f64 y y x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64))) |
(fma.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (fma.f64 (sqrt.f64 x) (neg.f64 y) x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) |
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(fma.f64 y (sqrt.f64 x) x) |
(fma.f64 (sqrt.f64 x) y x) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (fma.f64 (sqrt.f64 x) (neg.f64 y) x) |
| ✓ | accuracy | 99.8% | (fma.f64 y (sqrt.f64 x) x) |
| ✓ | accuracy | 99.8% | (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)) |
| ✓ | accuracy | 48.3% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)))) (fma.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) |
| ✓ | accuracy | 99.8% | (fma.f64 y (sqrt.f64 x) x) |
| ✓ | accuracy | 94.1% | (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
| ✓ | accuracy | 99.8% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| 62.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 277 to 27 computations (90.3% saved)
ival-mult: 28.0ms (60.2% of total)ival-add: 7.0ms (15.1% of total)ival-sub: 5.0ms (10.8% of total)ival-div: 3.0ms (6.5% of total)ival-sqrt: 2.0ms (4.3% of total)ival-neg: 1.0ms (2.2% 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 |
|---|
#<alt (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)> |
#<alt (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))> |
#<alt (sqrt.f64 x)> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))> |
#<alt (*.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))> |
#<alt (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))> |
#<alt (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))> |
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))))> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)))) (fma.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64)))> |
#<alt (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)))> |
#<alt (fma.f64 y (sqrt.f64 x) x)> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))> |
#<alt (fma.f64 (sqrt.f64 x) (neg.f64 y) x)> |
| Outputs |
|---|
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
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#<alt (- (+ (* y (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (+ 1 (* x (- 1 x))))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)))) (/ 1 (+ 1 (* x (- 1 x))))) (/ (pow x 3) (+ 1 (* x (- 1 x)))))> |
#<alt (- (+ (* y (- (+ (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (+ 1 (* x (- 1 x))))) (* y (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* x (- 1 x))))) (+ (/ (* x (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (+ 1 (* x (- 1 x))))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)))) (+ 1 (* x (- 1 x)))))))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)))) (/ 1 (+ 1 (* x (- 1 x))))) (/ (pow x 3) (+ 1 (* x (- 1 x)))))> |
#<alt (- (+ (* y (- (+ (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (+ 1 (* x (- 1 x))))) (* y (- (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* x (- 1 x))))) (* y (- (* (sqrt (pow x 3)) (/ 1 (+ 1 (* x (- 1 x))))) (+ (/ (* x (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (+ 1 (* x (- 1 x))))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)))) (+ 1 (* x (- 1 x)))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* x (- 1 x))))) (+ (/ (* x (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (+ 1 (* x (- 1 x))))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)))) (+ 1 (* x (- 1 x))))))) (+ 1 (* x (- 1 x)))))))) (+ (/ (* x (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (+ 1 (* x (- 1 x))))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)))) (+ 1 (* x (- 1 x)))))))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)))) (/ 1 (+ 1 (* x (- 1 x))))) (/ (pow x 3) (+ 1 (* x (- 1 x)))))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (- (+ (sqrt x) (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (* x y)))) (* (sqrt (/ 1 x)) (/ (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) y))))> |
#<alt (* y (- (+ (sqrt x) (+ (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (* x (pow y 2)))) (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (* x y))))) (+ (* (sqrt (/ 1 x)) (/ (+ 1 (* x (- 1 x))) (pow y 2))) (+ (* (sqrt (/ 1 x)) (/ (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) y)) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x))))))) (* x (pow y 2)))))))> |
#<alt (* y (- (+ (sqrt x) (+ (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (* x (pow y 2)))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (* x y))) (/ 1 (* x (pow y 3)))))) (+ (* (sqrt (/ 1 x)) (/ (+ 1 (* x (- 1 x))) (pow y 2))) (+ (* (sqrt (/ 1 x)) (/ (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) y)) (+ (/ (* (+ 1 (* x (- 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x))))))) (* x (pow y 3))) (+ (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) x)) (+ (* (sqrt (/ 1 x)) (+ 1 (* x (- 1 x)))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x))))))) x)))) (* x (pow y 3))) (+ (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x))))))) (* x (pow y 2))) (/ (pow x 2) (pow y 3)))))))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x)))))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (/ (- (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (- 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))))))) x))) y))) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x)))))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (/ (- (+ (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (* -1 (/ (- (/ 1 x) (+ (/ (* (+ 1 (* x (- 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))))))) x) (+ (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))) (- (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (- 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))))))) x)))) x) (pow x 2)))) y))) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (- 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))))))) x))) y))) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x)))))) y)))))> |
#<alt (* -1 (* (sqrt (pow x 3)) (pow y 3)))> |
#<alt (+ (* -1 (* (sqrt (pow x 3)) (pow y 3))) (* x (+ (* 2 (* x (pow y 2))) (* x (pow y 2)))))> |
#<alt (+ (* -1 (* (sqrt (pow x 3)) (pow y 3))) (* x (+ (* 2 (* x (pow y 2))) (+ (* x (+ (* -2 (* (sqrt x) y)) (* -1 (* (sqrt x) y)))) (* x (pow y 2))))))> |
#<alt (+ (* -1 (* (sqrt (pow x 3)) (pow y 3))) (* x (+ (* 2 (* x (pow y 2))) (+ (* x (+ x (+ (* -2 (* (sqrt x) y)) (* -1 (* (sqrt x) y))))) (* x (pow y 2))))))> |
#<alt (* (pow x 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 3))> |
#<alt (* (pow x 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 3))> |
#<alt (* (pow x 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 3))> |
#<alt (* (pow x 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 3))> |
#<alt (* -1 (* (pow x 3) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 3)))> |
#<alt (* -1 (* (pow x 3) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 3)))> |
#<alt (* -1 (* (pow x 3) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 3)))> |
#<alt (* -1 (* (pow x 3) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 3)))> |
#<alt (pow x 3)> |
#<alt (+ (* y (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5))))) (pow x 3))> |
#<alt (+ (* y (+ (* -2 (sqrt (pow x 5))) (+ (* -1 (sqrt (pow x 5))) (* y (+ (* 2 (pow x 2)) (pow x 2)))))) (pow x 3))> |
#<alt (+ (* y (+ (* -2 (sqrt (pow x 5))) (+ (* -1 (sqrt (pow x 5))) (* y (+ (* -1 (* (sqrt (pow x 3)) y)) (+ (* 2 (pow x 2)) (pow x 2))))))) (pow x 3))> |
#<alt (* -1 (* (sqrt (pow x 3)) (pow y 3)))> |
#<alt (* (pow y 3) (+ (* -1 (sqrt (pow x 3))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y))))> |
#<alt (* (pow y 3) (+ (* -2 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* -1 (sqrt (pow x 3))) (+ (* -1 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y))))))> |
#<alt (* (pow y 3) (+ (* -2 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* -1 (sqrt (pow x 3))) (+ (* -1 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* 2 (/ (pow x 2) y)) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 3))))))))> |
#<alt (* -1 (* (sqrt (pow x 3)) (pow y 3)))> |
#<alt (* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) y)))))> |
#<alt (* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) y)) (+ (* 2 (pow x 2)) (pow x 2))) y)))))> |
#<alt (* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* -1 (/ (+ (sqrt (pow x 5)) (+ (* -1 (/ (pow x 3) y)) (* 2 (sqrt (pow x 5))))) y)) (+ (* 2 (pow x 2)) (pow x 2))) y)))))> |
#<alt x> |
#<alt (+ x (* (sqrt x) y))> |
#<alt (+ x (* (sqrt x) y))> |
#<alt (+ x (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (/ x y)))> |
#<alt (* y (+ (sqrt x) (/ x y)))> |
#<alt (* y (+ (sqrt x) (/ x y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))> |
#<alt (* (sqrt x) y)> |
#<alt (+ x (* (sqrt x) y))> |
#<alt (+ x (* (sqrt x) y))> |
#<alt (+ x (* (sqrt x) y))> |
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))> |
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))> |
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))> |
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))> |
#<alt (/ 1 (- 1 x))> |
#<alt (+ (* (sqrt x) (/ y (pow (- 1 x) 2))) (/ 1 (- 1 x)))> |
#<alt (+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))> |
#<alt (+ (* y (- (* y (- (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4))) (* -1 (/ x (pow (- 1 x) 3))))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))> |
#<alt (* -1 (* (sqrt (/ 1 x)) (/ 1 y)))> |
#<alt (/ (- (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)) (/ 1 (* x y))) y)> |
#<alt (/ (- (+ (* -1 (sqrt (/ 1 x))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2))) (/ 1 y))) (/ 1 (* x y))) y)> |
#<alt (/ (- (+ (* -1 (sqrt (/ 1 x))) (+ (/ 1 y) (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2)))) (/ 1 (* x y)))) y)> |
#<alt (* -1 (* (sqrt (/ 1 x)) (/ 1 y)))> |
#<alt (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- 1 (/ 1 x)) y))) y))> |
#<alt (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y))) (/ 1 x)) y))) y))> |
#<alt (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x))))) y))) (/ 1 x)) y))) y))> |
#<alt (/ 1 (- 1 (* (sqrt x) y)))> |
#<alt (+ (/ 1 (- 1 (* (sqrt x) y))) (/ x (pow (- 1 (* (sqrt x) y)) 2)))> |
#<alt (+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ x (pow (- 1 (* (sqrt x) y)) 3)))) (/ 1 (- 1 (* (sqrt x) y))))> |
#<alt (+ (* x (+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (/ x (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))> |
#<alt (/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))> |
#<alt (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) x))> |
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) x)> |
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (pow x 2))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) x)> |
#<alt (/ -1 (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))> |
#<alt (* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))> |
#<alt (* -1 (* (sqrt x) y))> |
#<alt (+ x (* -1 (* (sqrt x) y)))> |
#<alt (+ x (* -1 (* (sqrt x) y)))> |
#<alt (+ x (* -1 (* (sqrt x) y)))> |
#<alt (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))> |
#<alt x> |
#<alt (+ x (* -1 (* (sqrt x) y)))> |
#<alt (+ x (* -1 (* (sqrt x) y)))> |
#<alt (+ x (* -1 (* (sqrt x) y)))> |
#<alt (* -1 (* (sqrt x) y))> |
#<alt (* y (+ (* -1 (sqrt x)) (/ x y)))> |
#<alt (* y (+ (* -1 (sqrt x)) (/ x y)))> |
#<alt (* y (+ (* -1 (sqrt x)) (/ x y)))> |
#<alt (* -1 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (sqrt x) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (sqrt x) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (sqrt x) (* -1 (/ x y)))))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | x | @ | 0 | (/ (- 1 (* (+ (* (sqrt x) (neg y)) x) (* (+ (* (sqrt x) (neg y)) x) (+ (* (sqrt x) (neg y)) x)))) (+ (* (+ (* (sqrt x) (neg y)) x) (- 1 (+ (* y (sqrt x)) x))) 1)) |
| 2.0ms | y | @ | inf | (/ (- 1 (* (+ (* (sqrt x) (neg y)) x) (* (+ (* (sqrt x) (neg y)) x) (+ (* (sqrt x) (neg y)) x)))) (+ (* (+ (* (sqrt x) (neg y)) x) (- 1 (+ (* y (sqrt x)) x))) 1)) |
| 2.0ms | x | @ | -inf | (/ (- 1 (* (+ (* (sqrt x) (neg y)) x) (* (+ (* (sqrt x) (neg y)) x) (+ (* (sqrt x) (neg y)) x)))) (+ (* (+ (* (sqrt x) (neg y)) x) (- 1 (+ (* y (sqrt x)) x))) 1)) |
| 2.0ms | y | @ | 0 | (/ 1 (- 1 (+ (* y (sqrt x)) x))) |
| 2.0ms | y | @ | 0 | (/ (- 1 (* (+ (* (sqrt x) (neg y)) x) (* (+ (* (sqrt x) (neg y)) x) (+ (* (sqrt x) (neg y)) x)))) (+ (* (+ (* (sqrt x) (neg y)) x) (- 1 (+ (* y (sqrt x)) x))) 1)) |
| 1× | batch-egg-rewrite |
| 4 844× | lower-fma.f32 |
| 4 834× | lower-fma.f64 |
| 4 410× | lower-/.f32 |
| 4 406× | lower-/.f64 |
| 4 084× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 179 |
| 0 | 43 | 108 |
| 1 | 215 | 104 |
| 2 | 1867 | 104 |
| 0 | 8499 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(sqrt.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
(*.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
(fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)))) (fma.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))) |
(fma.f64 y (sqrt.f64 x) x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (sqrt.f64 x) (neg.f64 y) x) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (neg.f64 x)) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 (sqrt.f64 x) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 y y))) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 x (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 (sqrt.f64 x) y) x)) (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) (-.f64 (*.f64 (sqrt.f64 x) y) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 x (*.f64 y y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 y y)))) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 x (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(*.f64 (fma.f64 (sqrt.f64 x) y x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 x (*.f64 y y))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y x))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (fma.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal -1 binary64))) |
(+.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y))) |
(+.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) x) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64))) |
(-.f64 x (*.f64 (sqrt.f64 x) y)) |
(-.f64 (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (sqrt.f64 x) y x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y)))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y))))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) y))) |
(fma.f64 (sqrt.f64 x) (neg.f64 y) x) |
(fma.f64 y (neg.f64 (sqrt.f64 x)) x) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (sqrt.f64 x) y))) |
(fma.f64 (neg.f64 y) (sqrt.f64 x) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y) x) |
(fma.f64 (neg.f64 (sqrt.f64 x)) y x) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y))) (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y))) (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y))) (*.f64 x (*.f64 y y)))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (neg.f64 (fma.f64 (sqrt.f64 x) y x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y))) (*.f64 x (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x (*.f64 (sqrt.f64 x) y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 y y))) (-.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y y)) (neg.f64 (fma.f64 (sqrt.f64 x) y x))) (*.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y x)) (*.f64 x x))) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y))) (*.f64 x (*.f64 y y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 y y)))) (neg.f64 (-.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y))))) |
(pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y))) (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y))) (*.f64 x (*.f64 y y))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sqrt.f64 x) y x)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y))) (*.f64 x (*.f64 y y)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sqrt.f64 x) y x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y x)) (fma.f64 (sqrt.f64 x) y x))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) y x) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) (fma.f64 (sqrt.f64 x) y x))) |
| 1× | egg-herbie |
| 10 550× | lower-fma.f64 |
| 10 550× | lower-fma.f32 |
| 6 114× | lower-*.f64 |
| 6 114× | lower-*.f32 |
| 4 624× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 748 | 6839 |
| 1 | 2416 | 6047 |
| 0 | 8517 | 5780 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(* (sqrt x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
1 |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (/ 1 y))) |
(* y (+ (sqrt x) (/ 1 y))) |
(* y (+ (sqrt x) (/ 1 y))) |
(* (sqrt x) y) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(+ 1 x) |
(+ 1 (+ x (* (sqrt x) y))) |
(+ 1 (+ x (* (sqrt x) y))) |
(+ 1 (+ x (* (sqrt x) y))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ x (* (sqrt x) y))) |
(+ 1 (+ x (* (sqrt x) y))) |
(+ 1 (+ x (* (sqrt x) y))) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(+ 1 x) |
(+ 1 (+ x (* (sqrt x) y))) |
(+ 1 (+ x (* (sqrt x) y))) |
(+ 1 (+ x (* (sqrt x) y))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ x (* (sqrt x) y))) |
(+ 1 (+ x (* (sqrt x) y))) |
(+ 1 (+ x (* (sqrt x) y))) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* x (pow y 2)) |
(+ (* -2 (* (sqrt (pow x 3)) y)) (* x (pow y 2))) |
(+ (* x (+ x (* -2 (* (sqrt x) y)))) (* x (pow y 2))) |
(+ (* x (+ x (* -2 (* (sqrt x) y)))) (* x (pow y 2))) |
(* (pow x 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 2)) |
(* (pow x 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 2)) |
(* (pow x 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 2)) |
(* (pow x 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 2)) |
(* (pow x 2) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 2)) |
(* (pow x 2) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 2)) |
(* (pow x 2) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 2)) |
(* (pow x 2) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 2)) |
(pow x 2) |
(+ (* -2 (* (sqrt (pow x 3)) y)) (pow x 2)) |
(+ (* y (+ (* -2 (sqrt (pow x 3))) (* x y))) (pow x 2)) |
(+ (* y (+ (* -2 (sqrt (pow x 3))) (* x y))) (pow x 2)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -2 (* (sqrt (pow x 3)) (/ 1 y))))) |
(* (pow y 2) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -2 (* (sqrt (pow x 3)) (/ 1 y))))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 (sqrt (pow x 3)))) y)))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 (sqrt (pow x 3)))) y)))) |
(- 1 (* -1 (* (sqrt (pow x 3)) (pow y 3)))) |
(- (+ 1 (* -1 (* x (+ (* 2 (* x (pow y 2))) (* x (pow y 2)))))) (* -1 (* (sqrt (pow x 3)) (pow y 3)))) |
(- (+ 1 (* x (- (* -1 (* x (+ (* -2 (* (sqrt x) y)) (* -1 (* (sqrt x) y))))) (+ (* 2 (* x (pow y 2))) (* x (pow y 2)))))) (* -1 (* (sqrt (pow x 3)) (pow y 3)))) |
(- (+ 1 (* x (- (* x (- (* -1 x) (+ (* -2 (* (sqrt x) y)) (* -1 (* (sqrt x) y))))) (+ (* 2 (* x (pow y 2))) (* x (pow y 2)))))) (* -1 (* (sqrt (pow x 3)) (pow y 3)))) |
(* -1 (* (pow x 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 3))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 3))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 3))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 3))) |
(* (pow x 3) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 3)) |
(* (pow x 3) (+ (/ 1 (pow x 3)) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 3))) |
(* (pow x 3) (+ (/ 1 (pow x 3)) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 3))) |
(* (pow x 3) (+ (/ 1 (pow x 3)) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 3))) |
(- 1 (pow x 3)) |
(- (+ 1 (* -1 (* y (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5))))))) (pow x 3)) |
(- (+ 1 (* y (- (* -1 (* y (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5))))))) (pow x 3)) |
(- (+ 1 (* y (- (* y (- (* (sqrt (pow x 3)) y) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5))))))) (pow x 3)) |
(* (sqrt (pow x 3)) (pow y 3)) |
(* (pow y 3) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) y)) (* -1 (sqrt (pow x 3))))) |
(* (pow y 3) (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (pow y 2))) (+ (* -1 (sqrt (pow x 3))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y))))) |
(* (pow y 3) (- (/ 1 (pow y 3)) (+ (* -2 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* -1 (sqrt (pow x 3))) (+ (* -1 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* 2 (/ (pow x 2) y)) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 3))))))))) |
(* (sqrt (pow x 3)) (pow y 3)) |
(* -1 (* (pow y 3) (- (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y)) (sqrt (pow x 3))))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (+ (* 2 (* (sqrt (pow x 5)) (/ 1 y))) (* (sqrt (pow x 5)) (/ 1 y))) (+ (* 2 (pow x 2)) (pow x 2))) y)) (sqrt (pow x 3))))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 3)) y)) (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5))))) y)) (+ (* 2 (pow x 2)) (pow x 2))) y)) (sqrt (pow x 3))))) |
(/ (- 1 (* -1 (* (sqrt (pow x 3)) (pow y 3)))) (+ 1 (* -1 (* (sqrt x) (* y (- 1 (* (sqrt x) y))))))) |
(- (+ (* x (- (+ (* -1 (* (sqrt (pow x 3)) (/ (pow y 3) (pow (+ 1 (* -1 (* (sqrt x) (* y (- 1 (* (sqrt x) y)))))) 2)))) (* -1 (/ (+ (* 2 (* x (pow y 2))) (* x (pow y 2))) (+ 1 (* -1 (* (sqrt x) (* y (- 1 (* (sqrt x) y))))))))) (/ 1 (pow (+ 1 (* -1 (* (sqrt x) (* y (- 1 (* (sqrt x) y)))))) 2)))) (/ 1 (+ 1 (* -1 (* (sqrt x) (* y (- 1 (* (sqrt x) y)))))))) (* -1 (* (sqrt (pow x 3)) (/ (pow y 3) (+ 1 (* -1 (* (sqrt x) (* y (- 1 (* (sqrt x) y)))))))))) |
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(/ (* x (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 2)) (+ 1 (* (sqrt (/ 1 x)) y))) |
(* x (+ (/ (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 2) (+ 1 (* (sqrt (/ 1 x)) y))))) |
(* x (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* -1 (/ (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))) (pow x 2))) (/ (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (* -1 (/ (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))))) |
(* x (- (+ (* -1 (/ (+ (* -2 (/ (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (+ (* -1 (/ (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ 1 (* (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) (+ 1 (* (sqrt (/ 1 x)) y)))))) (pow x 3))) (/ (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (* -1 (/ (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (* -1 (/ (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* -1 (/ (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))))) |
(/ (* x (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))) |
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (/ (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (* -1 (/ (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* -1 (/ (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) x)) (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (* -1 (/ (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* -1 (/ (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))) |
(/ (- 1 (pow x 3)) (+ 1 (* x (- 1 x)))) |
(- (+ (* y (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (+ 1 (* x (- 1 x))))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)))) (/ 1 (+ 1 (* x (- 1 x))))) (/ (pow x 3) (+ 1 (* x (- 1 x))))) |
(- (+ (* y (- (+ (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (+ 1 (* x (- 1 x))))) (* y (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* x (- 1 x))))) (+ (/ (* x (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (+ 1 (* x (- 1 x))))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)))) (+ 1 (* x (- 1 x)))))))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)))) (/ 1 (+ 1 (* x (- 1 x))))) (/ (pow x 3) (+ 1 (* x (- 1 x))))) |
(- (+ (* y (- (+ (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (+ 1 (* x (- 1 x))))) (* y (- (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* x (- 1 x))))) (* y (- (* (sqrt (pow x 3)) (/ 1 (+ 1 (* x (- 1 x))))) (+ (/ (* x (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (+ 1 (* x (- 1 x))))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)))) (+ 1 (* x (- 1 x)))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* x (- 1 x))))) (+ (/ (* x (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (+ 1 (* x (- 1 x))))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)))) (+ 1 (* x (- 1 x))))))) (+ 1 (* x (- 1 x)))))))) (+ (/ (* x (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (+ 1 (* x (- 1 x))))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)))) (+ 1 (* x (- 1 x)))))))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- 1 (pow x 3))) (pow (+ 1 (* x (- 1 x))) 2)))) (/ 1 (+ 1 (* x (- 1 x))))) (/ (pow x 3) (+ 1 (* x (- 1 x))))) |
(* (sqrt x) y) |
(* y (- (+ (sqrt x) (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (* x y)))) (* (sqrt (/ 1 x)) (/ (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) y)))) |
(* y (- (+ (sqrt x) (+ (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (* x (pow y 2)))) (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (* x y))))) (+ (* (sqrt (/ 1 x)) (/ (+ 1 (* x (- 1 x))) (pow y 2))) (+ (* (sqrt (/ 1 x)) (/ (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) y)) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x))))))) (* x (pow y 2))))))) |
(* y (- (+ (sqrt x) (+ (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (* x (pow y 2)))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (* x y))) (/ 1 (* x (pow y 3)))))) (+ (* (sqrt (/ 1 x)) (/ (+ 1 (* x (- 1 x))) (pow y 2))) (+ (* (sqrt (/ 1 x)) (/ (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) y)) (+ (/ (* (+ 1 (* x (- 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x))))))) (* x (pow y 3))) (+ (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) x)) (+ (* (sqrt (/ 1 x)) (+ 1 (* x (- 1 x)))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x))))))) x)))) (* x (pow y 3))) (+ (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x)))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (- 1 x))))))) (* x (pow y 2))) (/ (pow x 2) (pow y 3))))))))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x)))))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (/ (- (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (- 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))))))) x))) y))) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x)))))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (/ (- (+ (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (* -1 (/ (- (/ 1 x) (+ (/ (* (+ 1 (* x (- 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))))))) x) (+ (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))) (- (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (- 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))))))) x)))) x) (pow x 2)))) y))) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (- 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x))))))) x))) y))) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (- 1 x)))))) y))))) |
(* -1 (* (sqrt (pow x 3)) (pow y 3))) |
(+ (* -1 (* (sqrt (pow x 3)) (pow y 3))) (* x (+ (* 2 (* x (pow y 2))) (* x (pow y 2))))) |
(+ (* -1 (* (sqrt (pow x 3)) (pow y 3))) (* x (+ (* 2 (* x (pow y 2))) (+ (* x (+ (* -2 (* (sqrt x) y)) (* -1 (* (sqrt x) y)))) (* x (pow y 2)))))) |
(+ (* -1 (* (sqrt (pow x 3)) (pow y 3))) (* x (+ (* 2 (* x (pow y 2))) (+ (* x (+ x (+ (* -2 (* (sqrt x) y)) (* -1 (* (sqrt x) y))))) (* x (pow y 2)))))) |
(* (pow x 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 3)) |
(* (pow x 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 3)) |
(* (pow x 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 3)) |
(* (pow x 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 3)) |
(* -1 (* (pow x 3) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 3))) |
(* -1 (* (pow x 3) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 3))) |
(* -1 (* (pow x 3) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 3))) |
(* -1 (* (pow x 3) (pow (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) 3))) |
(pow x 3) |
(+ (* y (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5))))) (pow x 3)) |
(+ (* y (+ (* -2 (sqrt (pow x 5))) (+ (* -1 (sqrt (pow x 5))) (* y (+ (* 2 (pow x 2)) (pow x 2)))))) (pow x 3)) |
(+ (* y (+ (* -2 (sqrt (pow x 5))) (+ (* -1 (sqrt (pow x 5))) (* y (+ (* -1 (* (sqrt (pow x 3)) y)) (+ (* 2 (pow x 2)) (pow x 2))))))) (pow x 3)) |
(* -1 (* (sqrt (pow x 3)) (pow y 3))) |
(* (pow y 3) (+ (* -1 (sqrt (pow x 3))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y)))) |
(* (pow y 3) (+ (* -2 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* -1 (sqrt (pow x 3))) (+ (* -1 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y)))))) |
(* (pow y 3) (+ (* -2 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* -1 (sqrt (pow x 3))) (+ (* -1 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* 2 (/ (pow x 2) y)) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 3)))))))) |
(* -1 (* (sqrt (pow x 3)) (pow y 3))) |
(* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) y))))) |
(* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) y)) (+ (* 2 (pow x 2)) (pow x 2))) y))))) |
(* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* -1 (/ (+ (sqrt (pow x 5)) (+ (* -1 (/ (pow x 3) y)) (* 2 (sqrt (pow x 5))))) y)) (+ (* 2 (pow x 2)) (pow x 2))) y))))) |
x |
(+ x (* (sqrt x) y)) |
(+ x (* (sqrt x) y)) |
(+ x (* (sqrt x) y)) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (/ x y))) |
(* y (+ (sqrt x) (/ x y))) |
(* y (+ (sqrt x) (/ x y))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
(* (sqrt x) y) |
(+ x (* (sqrt x) y)) |
(+ x (* (sqrt x) y)) |
(+ x (* (sqrt x) y)) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(/ 1 (- 1 x)) |
(+ (* (sqrt x) (/ y (pow (- 1 x) 2))) (/ 1 (- 1 x))) |
(+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x))) |
(+ (* y (- (* y (- (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4))) (* -1 (/ x (pow (- 1 x) 3))))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x))) |
(* -1 (* (sqrt (/ 1 x)) (/ 1 y))) |
(/ (- (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)) (/ 1 (* x y))) y) |
(/ (- (+ (* -1 (sqrt (/ 1 x))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2))) (/ 1 y))) (/ 1 (* x y))) y) |
(/ (- (+ (* -1 (sqrt (/ 1 x))) (+ (/ 1 y) (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2)))) (/ 1 (* x y)))) y) |
(* -1 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- 1 (/ 1 x)) y))) y)) |
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y))) (/ 1 x)) y))) y)) |
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x))))) y))) (/ 1 x)) y))) y)) |
(/ 1 (- 1 (* (sqrt x) y))) |
(+ (/ 1 (- 1 (* (sqrt x) y))) (/ x (pow (- 1 (* (sqrt x) y)) 2))) |
(+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ x (pow (- 1 (* (sqrt x) y)) 3)))) (/ 1 (- 1 (* (sqrt x) y)))) |
(+ (* x (+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (/ x (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) |
(/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) |
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (pow x 2))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) x) |
(/ -1 (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x)) |
(* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x)) |
(* -1 (* (sqrt x) y)) |
(+ x (* -1 (* (sqrt x) y))) |
(+ x (* -1 (* (sqrt x) y))) |
(+ x (* -1 (* (sqrt x) y))) |
(* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))) |
(* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))) |
(* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))) |
(* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) |
x |
(+ x (* -1 (* (sqrt x) y))) |
(+ x (* -1 (* (sqrt x) y))) |
(+ x (* -1 (* (sqrt x) y))) |
(* -1 (* (sqrt x) y)) |
(* y (+ (* -1 (sqrt x)) (/ x y))) |
(* y (+ (* -1 (sqrt x)) (/ x y))) |
(* y (+ (* -1 (sqrt x)) (/ x y))) |
(* -1 (* (sqrt x) y)) |
(* -1 (* y (+ (sqrt x) (* -1 (/ x y))))) |
(* -1 (* y (+ (sqrt x) (* -1 (/ x y))))) |
(* -1 (* y (+ (sqrt x) (* -1 (/ x y))))) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) (-.f64 #s(literal 1 binary64) x)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) (-.f64 #s(literal 1 binary64) x)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(*.f64 (neg.f64 x) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(*.f64 (neg.f64 x) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(*.f64 (neg.f64 x) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (neg.f64 y)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(neg.f64 (*.f64 y (+.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(neg.f64 (*.f64 y (+.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(neg.f64 (*.f64 y (+.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) y)))) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(neg.f64 (+.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(neg.f64 (+.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(neg.f64 (+.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x))) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(fma.f64 (sqrt.f64 x) y (fma.f64 y (/.f64 x y) #s(literal 1 binary64))) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(fma.f64 (sqrt.f64 x) y (fma.f64 y (/.f64 x y) #s(literal 1 binary64))) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(fma.f64 (sqrt.f64 x) y (fma.f64 y (/.f64 x y) #s(literal 1 binary64))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (neg.f64 y)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(*.f64 (neg.f64 x) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(*.f64 (neg.f64 x) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(*.f64 (neg.f64 x) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(fma.f64 (sqrt.f64 x) y (fma.f64 y (/.f64 x y) #s(literal 1 binary64))) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(fma.f64 (sqrt.f64 x) y (fma.f64 y (/.f64 x y) #s(literal 1 binary64))) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(fma.f64 (sqrt.f64 x) y (fma.f64 y (/.f64 x y) #s(literal 1 binary64))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (neg.f64 y)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(*.f64 (neg.f64 x) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(*.f64 (neg.f64 x) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(*.f64 (neg.f64 x) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(* x (pow y 2)) |
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(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
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(* -1 (* (sqrt (pow x 3)) (pow y 3))) |
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(* (pow x 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 3)) |
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(* (pow x 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) 3)) |
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x |
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(fma.f64 (sqrt.f64 x) y x) |
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(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
(neg.f64 (*.f64 y (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
(neg.f64 (*.f64 y (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
(neg.f64 (*.f64 y (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x y)))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(+ x (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y x) |
(+ x (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y x) |
(+ x (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y x) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64))) |
(/ 1 (- 1 x)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(+ (* (sqrt x) (/ y (pow (- 1 x) 2))) (/ 1 (- 1 x))) |
(fma.f64 (sqrt.f64 x) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x))) |
(fma.f64 y (fma.f64 x (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(+ (* y (- (* y (- (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4))) (* -1 (/ x (pow (- 1 x) 3))))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x))) |
(fma.f64 y (fma.f64 y (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (/.f64 (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(* -1 (* (sqrt (/ 1 x)) (/ 1 y))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/ (- (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)) (/ 1 (* x y))) y) |
(/.f64 (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y)) y) |
(/ (- (+ (* -1 (sqrt (/ 1 x))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2))) (/ 1 y))) (/ 1 (* x y))) y) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y)) y) |
(/ (- (+ (* -1 (sqrt (/ 1 x))) (+ (/ 1 y) (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2)))) (/ 1 (* x y)))) y) |
(/.f64 (-.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 y (*.f64 x (*.f64 y y)))) (-.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y))))) y) |
(* -1 (* (sqrt (/ 1 x)) (/ 1 y))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- 1 (/ 1 x)) y))) y)) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y)) (neg.f64 y)) |
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y))) (/ 1 x)) y))) y)) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y) (/.f64 #s(literal -1 binary64) x))) y)) (neg.f64 y)) |
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x))))) y))) (/ 1 x)) y))) y)) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) y)) (/.f64 #s(literal -1 binary64) x)) y)) (neg.f64 y)) |
(/ 1 (- 1 (* (sqrt x) y))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(+ (/ 1 (- 1 (* (sqrt x) y))) (/ x (pow (- 1 (* (sqrt x) y)) 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) |
(+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ x (pow (- 1 (* (sqrt x) y)) 3)))) (/ 1 (- 1 (* (sqrt x) y)))) |
(+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (fma.f64 x (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) |
(+ (* x (+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (/ x (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) |
(fma.f64 x (fma.f64 x (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 4 binary64))) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))) |
(/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x)) |
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (neg.f64 x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) x) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (pow x 2))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) x) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) (*.f64 (neg.f64 x) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) x) |
(/ -1 (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))))) |
(* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))))) (neg.f64 x)) |
(* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)))))))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))) #s(literal 4 binary64))))) x)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)))))) x)) (neg.f64 x)) |
(* -1 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (neg.f64 y)) |
(+ x (* -1 (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) (neg.f64 y) x) |
(+ x (* -1 (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) (neg.f64 y) x) |
(+ x (* -1 (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) (neg.f64 y) x) |
(* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) x) x) |
(* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) x) x) |
(* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) x) x) |
(* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) x) x) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))) |
x |
(+ x (* -1 (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) (neg.f64 y) x) |
(+ x (* -1 (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) (neg.f64 y) x) |
(+ x (* -1 (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) (neg.f64 y) x) |
(* -1 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (neg.f64 y)) |
(* y (+ (* -1 (sqrt x)) (/ x y))) |
(*.f64 y (-.f64 (/.f64 x y) (sqrt.f64 x))) |
(* y (+ (* -1 (sqrt x)) (/ x y))) |
(*.f64 y (-.f64 (/.f64 x y) (sqrt.f64 x))) |
(* y (+ (* -1 (sqrt x)) (/ x y))) |
(*.f64 y (-.f64 (/.f64 x y) (sqrt.f64 x))) |
(* -1 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (neg.f64 y)) |
(* -1 (* y (+ (sqrt x) (* -1 (/ x y))))) |
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) (neg.f64 y)) |
(* -1 (* y (+ (sqrt x) (* -1 (/ x y))))) |
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) (neg.f64 y)) |
(* -1 (* y (+ (sqrt x) (* -1 (/ x y))))) |
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) (neg.f64 y)) |
Compiled 66 486 to 3 842 computations (94.2% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 579 | 8 | 1 587 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 584 | 12 | 1 596 |
| Status | Accuracy | Program |
|---|---|---|
| 62.7% | (fma.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y #s(literal 1 binary64)) | |
| 31.4% | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) | |
| ✓ | 62.8% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| 36.6% | (/.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64))) | |
| ▶ | 70.2% | (-.f64 (*.f64 (sqrt.f64 x) y) x) |
| ✓ | 68.4% | (-.f64 #s(literal 1 binary64) x) |
| ▶ | 31.2% | (+.f64 #s(literal 1 binary64) x) |
| ▶ | 28.4% | (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
| 34.3% | (*.f64 (sqrt.f64 x) y) | |
| ▶ | 64.2% | (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
| 38.4% | (neg.f64 x) | |
| ▶ | 31.1% | #s(literal 1 binary64) |
Compiled 254 to 143 computations (43.7% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) y) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
| ✓ | cost-diff | 3456 | (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) y) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (sqrt.f64 x) y) x) |
| 21 144× | lower-fma.f32 |
| 21 140× | lower-fma.f64 |
| 3 446× | lower-*.f32 |
| 3 440× | lower-*.f64 |
| 2 048× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 116 |
| 0 | 32 | 82 |
| 1 | 64 | 82 |
| 2 | 113 | 82 |
| 3 | 333 | 82 |
| 4 | 1853 | 82 |
| 5 | 7972 | 82 |
| 0 | 8945 | 82 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
x |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) |
#s(literal 1 binary64) |
(fma.f64 y (sqrt.f64 x) x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) |
| Outputs |
|---|
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
x |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) |
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
#s(literal 1 binary64) |
(fma.f64 y (sqrt.f64 x) x) |
(fma.f64 (sqrt.f64 x) y x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) |
| ✓ | accuracy | 99.8% | (fma.f64 y (sqrt.f64 x) x) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) y) |
| ✓ | accuracy | 94.1% | (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.8% | (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 93.9% | (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 (sqrt.f64 x) y) x) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) y) |
| 35.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 127 to 21 computations (83.5% saved)
ival-mult: 9.0ms (40.5% of total)ival-sqrt: 4.0ms (18% of total)ival-div: 3.0ms (13.5% of total)ival-add: 3.0ms (13.5% of total)ival-sub: 2.0ms (9% 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 |
|---|
#<alt (-.f64 (*.f64 (sqrt.f64 x) y) x)> |
#<alt (*.f64 (sqrt.f64 x) y)> |
#<alt (sqrt.f64 x)> |
#<alt (+.f64 #s(literal 1 binary64) x)> |
#<alt (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))> |
#<alt (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))> |
#<alt (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))> |
#<alt (fma.f64 y (sqrt.f64 x) x)> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))> |
| Outputs |
|---|
#<alt (* (sqrt x) y)> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 x)> |
#<alt (- (* (sqrt x) y) x)> |
#<alt (- (* (sqrt x) y) x)> |
#<alt (- (* (sqrt x) y) x)> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* (sqrt x) y)> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
#<alt -1> |
#<alt (- (* (sqrt (/ 1 x)) y) 1)> |
#<alt (- (* (sqrt (/ 1 x)) y) 1)> |
#<alt (- (* (sqrt (/ 1 x)) y) 1)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))> |
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))> |
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)> |
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)> |
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)> |
#<alt (- (* (sqrt (/ 1 x)) y) 1)> |
#<alt (- (* (sqrt (/ 1 x)) y) 1)> |
#<alt (- (* (sqrt (/ 1 x)) y) 1)> |
#<alt (- (* (sqrt (/ 1 x)) y) 1)> |
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)> |
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)> |
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)> |
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt x> |
#<alt (+ x (* (sqrt x) y))> |
#<alt (+ x (* (sqrt x) y))> |
#<alt (+ x (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (/ x y)))> |
#<alt (* y (+ (sqrt x) (/ x y)))> |
#<alt (* y (+ (sqrt x) (/ x y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))> |
#<alt (* (sqrt x) y)> |
#<alt (+ x (* (sqrt x) y))> |
#<alt (+ x (* (sqrt x) y))> |
#<alt (+ x (* (sqrt x) y))> |
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))> |
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))> |
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))> |
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))> |
#<alt (/ 1 (- 1 x))> |
#<alt (+ (* (sqrt x) (/ y (pow (- 1 x) 2))) (/ 1 (- 1 x)))> |
#<alt (+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))> |
#<alt (+ (* y (- (* y (- (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4))) (* -1 (/ x (pow (- 1 x) 3))))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))> |
#<alt (* -1 (* (sqrt (/ 1 x)) (/ 1 y)))> |
#<alt (/ (- (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)) (/ 1 (* x y))) y)> |
#<alt (/ (- (+ (* -1 (sqrt (/ 1 x))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2))) (/ 1 y))) (/ 1 (* x y))) y)> |
#<alt (/ (- (+ (* -1 (sqrt (/ 1 x))) (+ (/ 1 y) (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2)))) (/ 1 (* x y)))) y)> |
#<alt (* -1 (* (sqrt (/ 1 x)) (/ 1 y)))> |
#<alt (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- 1 (/ 1 x)) y))) y))> |
#<alt (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y))) (/ 1 x)) y))) y))> |
#<alt (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x))))) y))) (/ 1 x)) y))) y))> |
#<alt (/ 1 (- 1 (* (sqrt x) y)))> |
#<alt (+ (/ 1 (- 1 (* (sqrt x) y))) (/ x (pow (- 1 (* (sqrt x) y)) 2)))> |
#<alt (+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ x (pow (- 1 (* (sqrt x) y)) 3)))) (/ 1 (- 1 (* (sqrt x) y))))> |
#<alt (+ (* x (+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (/ x (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))> |
#<alt (/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))> |
#<alt (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) x))> |
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) x)> |
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (pow x 2))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) x)> |
#<alt (/ -1 (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))> |
#<alt (* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* x (+ (* y (sqrt (/ 1 x))) -1)) |
| 1.0ms | x | @ | -inf | (* x (+ (* y (sqrt (/ 1 x))) -1)) |
| 1.0ms | y | @ | 0 | (* x (+ (* y (sqrt (/ 1 x))) -1)) |
| 0.0ms | y | @ | -inf | (* x (+ (* y (sqrt (/ 1 x))) -1)) |
| 0.0ms | y | @ | inf | (* x (+ (* y (sqrt (/ 1 x))) -1)) |
| 1× | batch-egg-rewrite |
| 10 984× | lower-fma.f32 |
| 10 980× | lower-fma.f64 |
| 4 834× | lower-*.f32 |
| 4 828× | lower-*.f64 |
| 3 156× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 91 |
| 0 | 32 | 54 |
| 1 | 141 | 52 |
| 2 | 862 | 52 |
| 0 | 8511 | 52 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
(fma.f64 y (sqrt.f64 x) x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) y)) |
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)) (fma.f64 x (*.f64 y y) (*.f64 x (fma.f64 (sqrt.f64 x) y x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 y y) (*.f64 x (fma.f64 (sqrt.f64 x) y x)))))) |
(+.f64 (/.f64 (*.f64 x (*.f64 y y)) (fma.f64 (sqrt.f64 x) y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)))) (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (*.f64 x (*.f64 y y)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (*.f64 x (*.f64 y y))) (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y))))) |
(+.f64 (*.f64 (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y))) (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y))))) (*.f64 (*.f64 x (*.f64 y y)) (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 y y)) (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y))))) (*.f64 (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y))) (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)) (fma.f64 x (*.f64 y y) (*.f64 x (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 y y) (*.f64 x (fma.f64 (sqrt.f64 x) y x))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y y)) (fma.f64 (sqrt.f64 x) y x)) (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) x) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 x (/.f64 y (sqrt.f64 x)) (neg.f64 x)) |
(fma.f64 x (/.f64 (*.f64 y y) (fma.f64 (sqrt.f64 x) y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 y (*.f64 (sqrt.f64 x) y)) (fma.f64 (sqrt.f64 x) y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (sqrt.f64 x) (/.f64 (fma.f64 y (neg.f64 (fma.f64 (sqrt.f64 x) y x)) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (fma.f64 y (neg.f64 (fma.f64 (sqrt.f64 x) y x)) y) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (neg.f64 x)) |
(fma.f64 y (sqrt.f64 x) (neg.f64 x)) |
(fma.f64 y (*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (neg.f64 x)) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x y) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) y)) (neg.f64 x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (/.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (*.f64 (*.f64 (sqrt.f64 x) y) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (neg.f64 x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 x)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y))) (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 y y)) (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) (*.f64 x (fma.f64 (sqrt.f64 x) y x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 y y) (*.f64 x (fma.f64 (sqrt.f64 x) y x)))))) |
(fma.f64 (*.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (*.f64 x (*.f64 y y)) (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (*.f64 (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y))) (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (neg.f64 x)) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (neg.f64 x)) |
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 x y)) (neg.f64 x)) |
(fma.f64 (/.f64 x (sqrt.f64 x)) y (neg.f64 x)) |
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 x)) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (*.f64 (fma.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (neg.f64 x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (*.f64 (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (neg.f64 x)) |
(fma.f64 (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y))) (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (*.f64 x (*.f64 y y)))) |
(fma.f64 (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (*.f64 x (*.f64 y y)) (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y))))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 x) y) (fma.f64 (sqrt.f64 x) y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 x (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 (*.f64 y (*.f64 (sqrt.f64 x) y)) (fma.f64 (sqrt.f64 x) y x)) (sqrt.f64 x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 x) y x)) (/.f64 (*.f64 y (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (/.f64 (*.f64 y (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)))))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 (sqrt.f64 x) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 (sqrt.f64 x) (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 y (*.f64 (sqrt.f64 x) y)) (fma.f64 x (*.f64 y y) (*.f64 x (fma.f64 (sqrt.f64 x) y x)))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 x y) (fma.f64 (sqrt.f64 x) y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 x)) |
(fma.f64 (/.f64 (*.f64 x y) (fma.f64 (sqrt.f64 x) y x)) (/.f64 y #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 y (fma.f64 (sqrt.f64 x) y x)) (/.f64 (*.f64 x y) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 y (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)))))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 y (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 y (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 x y) (fma.f64 x (*.f64 y y) (*.f64 x (fma.f64 (sqrt.f64 x) y x)))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) (fma.f64 (sqrt.f64 x) y x)) (/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (/.f64 (*.f64 (sqrt.f64 x) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)))))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (sqrt.f64 x) y) (fma.f64 x (*.f64 y y) (*.f64 x (fma.f64 (sqrt.f64 x) y x)))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (sqrt.f64 x) y x)) x (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 x (fma.f64 (sqrt.f64 x) y x)) (/.f64 (*.f64 y y) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (fma.f64 (sqrt.f64 x) y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)))))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 y y) (fma.f64 x (*.f64 y y) (*.f64 x (fma.f64 (sqrt.f64 x) y x)))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)))))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
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(fma.f64 (/.f64 (*.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 y y)))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)))))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x)))) |
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#s(literal 1 binary64) |
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(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (*.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (*.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (fma.f64 (sqrt.f64 x) y x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (fma.f64 (sqrt.f64 x) y x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (fma.f64 (sqrt.f64 x) y x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (*.f64 (sqrt.f64 x) y))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) x)) |
(+.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))))) (*.f64 (fma.f64 (sqrt.f64 x) y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))))) |
(+.f64 (*.f64 (fma.f64 (sqrt.f64 x) y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) |
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (*.f64 (*.f64 (sqrt.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (*.f64 (*.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (*.f64 (fma.f64 (sqrt.f64 x) y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (*.f64 (*.f64 (sqrt.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))))) |
(fma.f64 (fma.f64 (sqrt.f64 x) y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) |
(fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (*.f64 (fma.f64 (sqrt.f64 x) y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (*.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (*.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (fma.f64 (sqrt.f64 x) y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (fma.f64 (sqrt.f64 x) y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (*.f64 (sqrt.f64 x) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (fma.f64 (sqrt.f64 x) y x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x))) |
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) |
(/.f64 (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (sqrt.f64 x) y x))) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))))) |
(*.f64 (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (fma.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x))))) (*.f64 (fma.f64 (fma.f64 (sqrt.f64 x) y x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y x) (fma.f64 (sqrt.f64 x) y x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 9 462× | lower-fma.f64 |
| 9 462× | lower-fma.f32 |
| 4 442× | lower-*.f64 |
| 4 442× | lower-*.f32 |
| 2 404× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 1813 |
| 1 | 605 | 1731 |
| 2 | 1790 | 1691 |
| 3 | 6587 | 1689 |
| 0 | 8091 | 1608 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(+ (* -1 x) (* (sqrt x) y)) |
(+ (* -1 x) (* (sqrt x) y)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 x) |
(- (* (sqrt x) y) x) |
(- (* (sqrt x) y) x) |
(- (* (sqrt x) y) x) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* (sqrt x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(+ (* -1 x) (* (sqrt x) y)) |
(+ (* -1 x) (* (sqrt x) y)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(* -1 x) |
(+ (* -1 x) (* (sqrt x) y)) |
(+ (* -1 x) (* (sqrt x) y)) |
(+ (* -1 x) (* (sqrt x) y)) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
-1 |
(- (* (sqrt (/ 1 x)) y) 1) |
(- (* (sqrt (/ 1 x)) y) 1) |
(- (* (sqrt (/ 1 x)) y) 1) |
(* (sqrt (/ 1 x)) y) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* (sqrt (/ 1 x)) y) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(* (sqrt (/ 1 x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(- (* (sqrt (/ 1 x)) y) 1) |
(- (* (sqrt (/ 1 x)) y) 1) |
(- (* (sqrt (/ 1 x)) y) 1) |
(- (* (sqrt (/ 1 x)) y) 1) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
x |
(+ x (* (sqrt x) y)) |
(+ x (* (sqrt x) y)) |
(+ x (* (sqrt x) y)) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (/ x y))) |
(* y (+ (sqrt x) (/ x y))) |
(* y (+ (sqrt x) (/ x y))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
(* (sqrt x) y) |
(+ x (* (sqrt x) y)) |
(+ x (* (sqrt x) y)) |
(+ x (* (sqrt x) y)) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(/ 1 (- 1 x)) |
(+ (* (sqrt x) (/ y (pow (- 1 x) 2))) (/ 1 (- 1 x))) |
(+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x))) |
(+ (* y (- (* y (- (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4))) (* -1 (/ x (pow (- 1 x) 3))))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x))) |
(* -1 (* (sqrt (/ 1 x)) (/ 1 y))) |
(/ (- (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)) (/ 1 (* x y))) y) |
(/ (- (+ (* -1 (sqrt (/ 1 x))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2))) (/ 1 y))) (/ 1 (* x y))) y) |
(/ (- (+ (* -1 (sqrt (/ 1 x))) (+ (/ 1 y) (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2)))) (/ 1 (* x y)))) y) |
(* -1 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- 1 (/ 1 x)) y))) y)) |
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y))) (/ 1 x)) y))) y)) |
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x))))) y))) (/ 1 x)) y))) y)) |
(/ 1 (- 1 (* (sqrt x) y))) |
(+ (/ 1 (- 1 (* (sqrt x) y))) (/ x (pow (- 1 (* (sqrt x) y)) 2))) |
(+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ x (pow (- 1 (* (sqrt x) y)) 3)))) (/ 1 (- 1 (* (sqrt x) y)))) |
(+ (* x (+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (/ x (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) |
(/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) |
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (pow x 2))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) x) |
(/ -1 (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x)) |
(* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x)) |
| Outputs |
|---|
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(- (* (sqrt x) y) x) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(- (* (sqrt x) y) x) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(- (* (sqrt x) y) x) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
-1 |
#s(literal -1 binary64) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64)) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64)) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
x |
(+ x (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y x) |
(+ x (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y x) |
(+ x (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (/ x y))) |
(fma.f64 (sqrt.f64 x) y x) |
(* y (+ (sqrt x) (/ x y))) |
(fma.f64 (sqrt.f64 x) y x) |
(* y (+ (sqrt x) (/ x y))) |
(fma.f64 (sqrt.f64 x) y x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
(fma.f64 (sqrt.f64 x) y x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
(fma.f64 (sqrt.f64 x) y x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
(fma.f64 (sqrt.f64 x) y x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(+ x (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y x) |
(+ x (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y x) |
(+ x (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y x) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(/ 1 (- 1 x)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(+ (* (sqrt x) (/ y (pow (- 1 x) 2))) (/ 1 (- 1 x))) |
(fma.f64 (sqrt.f64 x) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x))) |
(fma.f64 y (fma.f64 x (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(+ (* y (- (* y (- (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4))) (* -1 (/ x (pow (- 1 x) 3))))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x))) |
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (/.f64 (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(* -1 (* (sqrt (/ 1 x)) (/ 1 y))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/ (- (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)) (/ 1 (* x y))) y) |
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) |
(/ (- (+ (* -1 (sqrt (/ 1 x))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2))) (/ 1 y))) (/ 1 (* x y))) y) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y)) y) |
(/ (- (+ (* -1 (sqrt (/ 1 x))) (+ (/ 1 y) (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2)))) (/ 1 (* x y)))) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 y (*.f64 y (*.f64 x y)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y))) y) |
(* -1 (* (sqrt (/ 1 x)) (/ 1 y))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- 1 (/ 1 x)) y))) y)) |
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) |
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y))) (/ 1 x)) y))) y)) |
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) y)) (neg.f64 y)) |
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x))))) y))) (/ 1 x)) y))) y)) |
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) y)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) |
(/ 1 (- 1 (* (sqrt x) y))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(+ (/ 1 (- 1 (* (sqrt x) y))) (/ x (pow (- 1 (* (sqrt x) y)) 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) |
(+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ x (pow (- 1 (* (sqrt x) y)) 3)))) (/ 1 (- 1 (* (sqrt x) y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (fma.f64 x (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))) |
(+ (* x (+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (/ x (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x)) |
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x)))) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) x) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x))))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x))) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (pow x 2))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) x) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) (*.f64 x x))) x) |
(/ -1 (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x)) |
(* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x)))) x) |
(* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x))))))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) (*.f64 x x))) x) |
Compiled 43 656 to 2 926 computations (93.3% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 471 | 4 | 1 475 |
| Fresh | 3 | 2 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 476 | 11 | 1 487 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 64.2% | (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)) |
| ✓ | 62.8% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| 28.2% | (/.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) | |
| ▶ | 31.8% | (/.f64 (*.f64 x y) (sqrt.f64 x)) |
| ✓ | 70.2% | (-.f64 (*.f64 (sqrt.f64 x) y) x) |
| ✓ | 68.4% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | 31.2% | (+.f64 #s(literal 1 binary64) x) |
| ▶ | 34.2% | (*.f64 (/.f64 x (sqrt.f64 x)) y) |
| ▶ | 34.3% | (*.f64 (sqrt.f64 x) y) |
| ▶ | 38.4% | (neg.f64 x) |
| ✓ | 31.1% | #s(literal 1 binary64) |
Compiled 120 to 81 computations (32.5% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x y) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 x (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 x (sqrt.f64 x)) y) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) y) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 y (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)) |
| 416× | lower-fma.f32 |
| 414× | lower-fma.f64 |
| 304× | lower-*.f32 |
| 298× | lower-*.f64 |
| 176× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 56 |
| 0 | 21 | 56 |
| 1 | 32 | 56 |
| 2 | 42 | 56 |
| 3 | 62 | 56 |
| 4 | 102 | 56 |
| 5 | 204 | 56 |
| 6 | 404 | 56 |
| 7 | 918 | 56 |
| 8 | 1108 | 56 |
| 9 | 1140 | 56 |
| 10 | 1202 | 56 |
| 11 | 1208 | 56 |
| 0 | 1208 | 56 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
(neg.f64 x) |
(neg.f64 x) |
x |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
(*.f64 (/.f64 x (sqrt.f64 x)) y) |
(/.f64 x (sqrt.f64 x)) |
x |
(sqrt.f64 x) |
y |
(/.f64 (*.f64 x y) (sqrt.f64 x)) |
(*.f64 x y) |
x |
y |
(sqrt.f64 x) |
| Outputs |
|---|
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)) |
(fma.f64 y (/.f64 x (sqrt.f64 x)) (neg.f64 x)) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
(neg.f64 x) |
(neg.f64 x) |
x |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
y |
(*.f64 (/.f64 x (sqrt.f64 x)) y) |
(/.f64 (*.f64 y x) (sqrt.f64 x)) |
(/.f64 x (sqrt.f64 x)) |
x |
(sqrt.f64 x) |
y |
(/.f64 (*.f64 x y) (sqrt.f64 x)) |
(/.f64 (*.f64 y x) (sqrt.f64 x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(sqrt.f64 x) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 89.8% | (/.f64 (*.f64 x y) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 x (sqrt.f64 x)) y) |
| ✓ | accuracy | 99.3% | (/.f64 x (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) y) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 99.6% | (/.f64 y (sqrt.f64 x)) |
| ✓ | accuracy | 93.9% | (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)) |
| 67.0ms | 256× | 0 | valid |
Compiled 59 to 14 computations (76.3% saved)
ival-div: 11.0ms (48.4% of total)ival-mult: 7.0ms (30.8% of total)ival-sqrt: 2.0ms (8.8% of total)ival-add: 1.0ms (4.4% of total)ival-neg: 1.0ms (4.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))> |
#<alt (/.f64 y (sqrt.f64 x))> |
#<alt (sqrt.f64 x)> |
#<alt (neg.f64 x)> |
#<alt (*.f64 (sqrt.f64 x) y)> |
#<alt (*.f64 (/.f64 x (sqrt.f64 x)) y)> |
#<alt (/.f64 x (sqrt.f64 x))> |
#<alt (/.f64 (*.f64 x y) (sqrt.f64 x))> |
#<alt (*.f64 x y)> |
| Outputs |
|---|
#<alt (* -1 x)> |
#<alt (- (* (sqrt x) y) x)> |
#<alt (- (* (sqrt x) y) x)> |
#<alt (- (* (sqrt x) y) x)> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
#<alt (* (sqrt x) y)> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+ (* (/ y (sqrt x)) x) (neg x)) |
| 1.0ms | x | @ | -inf | (/ x (sqrt x)) |
| 0.0ms | x | @ | 0 | (* x y) |
| 0.0ms | y | @ | 0 | (/ y (sqrt x)) |
| 0.0ms | x | @ | inf | (* x y) |
| 1× | batch-egg-rewrite |
| 3 326× | lower-fma.f32 |
| 3 324× | lower-fma.f64 |
| 2 756× | lower-*.f32 |
| 2 752× | lower-*.f64 |
| 1 290× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 0 | 21 | 33 |
| 1 | 64 | 33 |
| 2 | 423 | 31 |
| 3 | 5824 | 30 |
| 0 | 8933 | 29 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)) |
(/.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
(neg.f64 x) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (/.f64 x (sqrt.f64 x)) y) |
(/.f64 x (sqrt.f64 x)) |
(/.f64 (*.f64 x y) (sqrt.f64 x)) |
(*.f64 x y) |
| Outputs |
|---|
(+.f64 x (*.f64 y (sqrt.f64 x))) |
(+.f64 (*.f64 y (sqrt.f64 x)) x) |
(+.f64 #s(literal 0 binary64) (fma.f64 y (sqrt.f64 x) x)) |
(+.f64 (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) #s(literal -1 binary64))) |
(-.f64 x (*.f64 y (sqrt.f64 x))) |
(-.f64 (*.f64 y (sqrt.f64 x)) x) |
(-.f64 #s(literal 0 binary64) (fma.f64 y (sqrt.f64 x) x)) |
(-.f64 (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y (sqrt.f64 x) x))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (*.f64 y x)))) (fma.f64 x (fma.f64 y (sqrt.f64 x) x) (*.f64 y (*.f64 y x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 y (sqrt.f64 x) x) (*.f64 y (*.f64 y x))))) |
(fma.f64 y (sqrt.f64 x) x) |
(fma.f64 y (/.f64 (*.f64 y x) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 x (/.f64 y (sqrt.f64 x)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) |
(fma.f64 x #s(literal -1 binary64) (*.f64 y (sqrt.f64 x))) |
(fma.f64 x (/.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 x (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x) |
(fma.f64 x (*.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y x))) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 x (/.f64 (*.f64 y y) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (sqrt.f64 x) y x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (neg.f64 y) x) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 y y)) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) x x) |
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (*.f64 y (*.f64 x (sqrt.f64 x))) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (*.f64 y x) (/.f64 (sqrt.f64 x) x) x) |
(fma.f64 (*.f64 y x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 y x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y x)) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (*.f64 y x) (/.f64 y (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1 binary64) x) |
(fma.f64 (*.f64 y (sqrt.f64 x)) (/.f64 (/.f64 y (sqrt.f64 x)) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) (/.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (neg.f64 y) (sqrt.f64 x) x) |
(fma.f64 (*.f64 y (*.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) x) |
(fma.f64 (/.f64 (sqrt.f64 x) x) (*.f64 y x) x) |
(fma.f64 (/.f64 (sqrt.f64 x) x) (*.f64 x (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 y y)) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 x (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 y (/.f64 #s(literal 1 binary64) x)) x) |
(fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 x)) x) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (sqrt.f64 x) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (*.f64 y (*.f64 x (sqrt.f64 x))) (/.f64 (/.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) x) |
(fma.f64 (*.f64 y y) (/.f64 x (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (*.f64 (sqrt.f64 x) (*.f64 y y)) (/.f64 (sqrt.f64 x) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y x))) (/.f64 (/.f64 (sqrt.f64 x) x) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y x))) (/.f64 x (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x))) |
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(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 y (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (neg.f64 y) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (sqrt.f64 x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (sqrt.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (sqrt.f64 x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 0 binary64)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(neg.f64 (*.f64 y (sqrt.f64 x))) |
(/.f64 y (/.f64 (sqrt.f64 x) x)) |
(/.f64 x (/.f64 (sqrt.f64 x) y)) |
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 y x) (sqrt.f64 x)) |
(/.f64 (neg.f64 y) (/.f64 (sqrt.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y x))) |
(/.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y x))) |
(/.f64 (*.f64 y (*.f64 x (sqrt.f64 x))) x) |
(/.f64 (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (sqrt.f64 x)) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (*.f64 y x))) #s(literal 0 binary64)) (fma.f64 y (*.f64 y x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (*.f64 y x)))) #s(literal 0 binary64)) (fma.f64 y (*.f64 y x) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y x)) #s(literal 0 binary64)) (*.f64 y (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 x (/.f64 y (sqrt.f64 x))) |
(*.f64 x (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (sqrt.f64 x) (neg.f64 y)) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y (sqrt.f64 x)) x) |
(*.f64 (*.f64 y x) (/.f64 (sqrt.f64 x) x)) |
(*.f64 (*.f64 y x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 y) (sqrt.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) x) (*.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 y (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (neg.f64 y) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
(+.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 y x)) |
(+.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y x)) |
(fma.f64 y #s(literal 0 binary64) (*.f64 y x)) |
(fma.f64 #s(literal 0 binary64) y (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y x))) |
(/.f64 (*.f64 y (sqrt.f64 x)) (/.f64 (sqrt.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (*.f64 y (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 y (*.f64 x x)) x) |
(/.f64 (*.f64 (*.f64 x x) y) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y x)) |
(/.f64 (*.f64 y (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) y) (*.f64 x x)) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 x (neg.f64 y)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y x))) |
(*.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 (*.f64 y x) #s(literal -1 binary64)) |
(*.f64 (*.f64 y x) (*.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x))) |
(*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 x) x) (*.f64 y (*.f64 x (sqrt.f64 x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 y (*.f64 x (sqrt.f64 x))) (/.f64 (sqrt.f64 x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y x)) x) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)) (*.f64 y x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) x) |
| 1× | egg-herbie |
| 4 732× | lower-fma.f64 |
| 4 732× | lower-fma.f32 |
| 3 176× | lower-*.f64 |
| 3 176× | lower-*.f32 |
| 1 372× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 742 |
| 1 | 97 | 742 |
| 2 | 268 | 742 |
| 3 | 596 | 742 |
| 4 | 2322 | 742 |
| 5 | 4532 | 742 |
| 6 | 6392 | 742 |
| 7 | 7544 | 742 |
| 0 | 8025 | 734 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(- (* (sqrt x) y) x) |
(- (* (sqrt x) y) x) |
(- (* (sqrt x) y) x) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* (sqrt x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(+ (* -1 x) (* (sqrt x) y)) |
(+ (* -1 x) (* (sqrt x) y)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))) |
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))) |
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))) |
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(- (* (sqrt x) y) x) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(- (* (sqrt x) y) x) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(- (* (sqrt x) y) x) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(+ (* -1 x) (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(+ (* -1 x) (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
Compiled 12 273 to 1 212 computations (90.1% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 146 | 2 | 1 148 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 147 | 12 | 1 159 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 64.2% | (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)) |
| ✓ | 62.8% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ✓ | 31.8% | (/.f64 (*.f64 x y) (sqrt.f64 x)) |
| 34.2% | (/.f64 y (/.f64 (sqrt.f64 x) x)) | |
| ✓ | 70.2% | (-.f64 (*.f64 (sqrt.f64 x) y) x) |
| ✓ | 68.4% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | 31.2% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | 34.2% | (*.f64 (/.f64 x (sqrt.f64 x)) y) |
| ✓ | 34.3% | (*.f64 (sqrt.f64 x) y) |
| ✓ | 38.4% | (neg.f64 x) |
| 2.8% | x | |
| ✓ | 31.1% | #s(literal 1 binary64) |
Compiled 335 to 108 computations (67.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 x)) y) |
(/.f64 (*.f64 x y) (sqrt.f64 x)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(/.f64 y (/.f64 (sqrt.f64 x) x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x) |
(/.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
(*.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
(/.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (*.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)))) (fma.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y #s(literal 1 binary64)) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
| Outputs |
|---|
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
3 calls:
| 19.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 9.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
3 calls:
| 4.0ms | x |
| 3.0ms | y |
| 3.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | x |
| 97.3% | 3 | y |
| 98.9% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
3 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 3 | y |
| 88.2% | 4 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 85.2% | 2 | x |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) y) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) y) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) y) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) x) |
3 calls:
| 2.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 68.4% | 1 | x |
| 68.4% | 1 | y |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(neg.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
3 calls:
| 4.0ms | y |
| 2.0ms | x |
| 2.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.5% | 4 | y |
| 67.7% | 2 | x |
| 68.4% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
| Outputs |
|---|
(neg.f64 x) |
#s(literal 1 binary64) |
1 calls:
| 2.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.2% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 10 to 7 computations (30% saved)
Total -18.3b remaining (-41.6%)
Threshold costs -18.3b (-41.6%)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
| Outputs |
|---|
#s(literal 1 binary64) |
3 calls:
| 2.0ms | x |
| 1.0ms | y |
| 1.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.1% | 1 | y |
| 31.1% | 1 | x |
| 31.1% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 16 to 11 computations (31.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 0.180926905591361 | 1.58001390383845 |
| 6.0ms | 96× | 0 | valid |
Compiled 115 to 84 computations (27% saved)
ival-mult: 1.0ms (41.7% of total)ival-sqrt: 1.0ms (41.7% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.3533847917873114e+76 | 1.4910780441230342e+80 |
| 9.0ms | -1.488549579940447e+87 | -2.0650056530053496e+85 |
| 11.0ms | 240× | 0 | valid |
Compiled 223 to 177 computations (20.6% saved)
ival-sqrt: 2.0ms (34.7% of total)ival-sub: 1.0ms (17.3% of total)ival-add: 1.0ms (17.3% of total)ival-mult: 1.0ms (17.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 5.0028412667202245e+110 | 1.426490457181059e+115 |
| 10.0ms | -1.488549579940447e+87 | -2.0650056530053496e+85 |
| 12.0ms | 224× | 0 | valid |
Compiled 208 to 162 computations (22.1% saved)
ival-sub: 3.0ms (39.5% of total)ival-sqrt: 2.0ms (26.4% of total)ival-add: 1.0ms (13.2% of total)ival-mult: 1.0ms (13.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1444.53094720736 | 0.8190730944086391 |
Compiled 13 to 12 computations (7.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1444.53094720736 | 0.8190730944086391 |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 4× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 96 |
| 1 | 44 | 96 |
| 2 | 49 | 96 |
| 3 | 50 | 96 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(if (<=.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(if (<=.f64 y #s(literal -21000000000000000997419234523228712393846488972860301489961723747604379165526534914048 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 29999999999999998197927946359183536590754619541274687248430141039109077991424 binary64)) (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 510000000000000022032816663106096486183925973148785287396432843573633510044500020291792739008901828466414977024 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) |
(-.f64 #s(literal 1 binary64) x) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -1000 binary64)) (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -1000 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(if (<=.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(if (<=.f64 y #s(literal -21000000000000000997419234523228712393846488972860301489961723747604379165526534914048 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 29999999999999998197927946359183536590754619541274687248430141039109077991424 binary64)) (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 510000000000000022032816663106096486183925973148785287396432843573633510044500020291792739008901828466414977024 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) |
(-.f64 #s(literal 1 binary64) x) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -1000 binary64)) (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 (+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -1000 binary64)) (neg.f64 x) (+.f64 x #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -1000 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
(if (<=.f64 (+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -1000 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 10 550× | lower-fma.f64 |
| 10 550× | lower-fma.f32 |
| 7 542× | lower-fma.f64 |
| 7 542× | lower-fma.f32 |
| 6 324× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 748 | 6839 |
| 1 | 2416 | 6047 |
| 0 | 8517 | 5780 |
| 0 | 7 | 17 |
| 0 | 11 | 17 |
| 1 | 46 | 17 |
| 2 | 357 | 17 |
| 3 | 5315 | 17 |
| 0 | 8974 | 16 |
| 0 | 52 | 369 |
| 1 | 141 | 369 |
| 2 | 438 | 357 |
| 3 | 1298 | 357 |
| 4 | 4657 | 357 |
| 5 | 7379 | 357 |
| 0 | 8084 | 330 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 188 to 99 computations (47.3% saved)
Compiled 216 to 74 computations (65.7% saved)
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