
Time bar (total: 8.3s)
| 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)
| 437.0ms | 8 251× | 0 | valid |
| 13.0ms | 268× | 0 | invalid |
| 0.0ms | 3× | 2 | valid |
| 0.0ms | 2× | 1 | valid |
ival-mult: 59.0ms (27.2% of total)ival-sqrt: 59.0ms (27.2% of total)ival-sub: 49.0ms (22.6% of total)ival-add: 36.0ms (16.6% of total)ival-true: 6.0ms (2.8% of total)exact: 5.0ms (2.3% of total)ival-assert: 3.0ms (1.4% of total)adjust: 0.0ms (0% of total)| 2× | egg-herbie |
| 336× | accelerator-lowering-fma.f32 |
| 336× | accelerator-lowering-fma.f64 |
| 252× | sub-neg |
| 206× | cancel-sign-sub-inv |
| 192× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 56 |
| 1 | 59 | 51 |
| 2 | 173 | 50 |
| 3 | 475 | 50 |
| 4 | 972 | 50 |
| 5 | 1355 | 50 |
| 6 | 1493 | 50 |
| 7 | 1515 | 50 |
| 0 | 7 | 8 |
| 1 | 15 | 8 |
| 2 | 34 | 8 |
| 3 | 61 | 8 |
| 4 | 125 | 8 |
| 5 | 243 | 8 |
| 6 | 372 | 8 |
| 7 | 420 | 8 |
| 8 | 443 | 8 |
| 0 | 443 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ (- 1 x) (* y (sqrt x))) |
| Outputs |
|---|
(+ (- 1 x) (* y (sqrt x))) |
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) |
| Inputs |
|---|
(+ (- 1 x) (* y (sqrt x))) |
(+ (- 1 (neg x)) (* y (sqrt (neg x)))) |
(+ (- 1 x) (* (neg y) (sqrt x))) |
(neg (+ (- 1 (neg x)) (* y (sqrt (neg x))))) |
(neg (+ (- 1 x) (* (neg y) (sqrt x)))) |
(+ (- 1 y) (* x (sqrt y))) |
| Outputs |
|---|
(+ (- 1 x) (* y (sqrt x))) |
(+ (- 1 (neg x)) (* y (sqrt (neg x)))) |
(+ 1 (+ x (* y (sqrt (neg x))))) |
(+ (- 1 x) (* (neg y) (sqrt x))) |
(- (- 1 x) (* y (sqrt x))) |
(neg (+ (- 1 (neg x)) (* y (sqrt (neg x))))) |
(- -1 (+ x (* y (sqrt (neg x))))) |
(neg (+ (- 1 x) (* (neg y) (sqrt x)))) |
(+ (* y (sqrt x)) (+ x -1)) |
(+ (- 1 y) (* x (sqrt y))) |
| 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 |
| 29.0ms | 512× | 0 | valid |
Compiled 64 to 32 computations (50% saved)
ival-sqrt: 4.0ms (30.9% of total)ival-sub: 3.0ms (23.2% of total)ival-mult: 3.0ms (23.2% of total)ival-add: 2.0ms (15.5% 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 | -64 | (*.f64 y (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 192 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 336× | accelerator-lowering-fma.f32 |
| 336× | accelerator-lowering-fma.f64 |
| 144× | *-lowering-*.f32 |
| 144× | *-lowering-*.f64 |
| 112× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 15 | 20 |
| 2 | 34 | 20 |
| 3 | 61 | 20 |
| 4 | 125 | 20 |
| 5 | 243 | 20 |
| 6 | 372 | 20 |
| 7 | 420 | 20 |
| 8 | 443 | 20 |
| 0 | 443 | 19 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (- 1 x) (* y (sqrt x))) |
(- 1 x) |
1 |
x |
(* y (sqrt x)) |
y |
(sqrt x) |
| Outputs |
|---|
(+ (- 1 x) (* y (sqrt x))) |
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* y (sqrt x)) |
(fma.f64 y (sqrt.f64 x) #s(literal 0 binary64)) |
y |
(sqrt x) |
(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)) |
| 16.0ms | 256× | 0 | valid |
Compiled 22 to 9 computations (59.1% saved)
ival-sqrt: 4.0ms (42% of total)ival-sub: 3.0ms (31.5% of total)ival-mult: 2.0ms (21% of total)ival-add: 1.0ms (10.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (- 1 x) (* y (sqrt x)))> |
#<alt (- 1 x)> |
#<alt (sqrt x)> |
#<alt (* y (sqrt 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)> |
#<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 (* (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))))> |
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× | accelerator-lowering-fma.f32 |
| 6 324× | accelerator-lowering-fma.f64 |
| 4 236× | *-lowering-*.f32 |
| 4 236× | *-lowering-*.f64 |
| 2 084× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 42 | 17 |
| 2 | 353 | 17 |
| 3 | 5351 | 17 |
| 0 | 9013 | 16 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (- 1 x) (* y (sqrt x))) |
(- 1 x) |
(sqrt x) |
(* y (sqrt x)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 0 binary64) 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) (-.f64 x (*.f64 y (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.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 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 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 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))) (fma.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (sqrt.f64 x) (fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 y (sqrt.f64 x) (fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))))) |
(-.f64 (fma.f64 y (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(-.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) (-.f64 #s(literal 0 binary64) 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) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 0 binary64) 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) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (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) (-.f64 x (*.f64 y (sqrt.f64 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) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.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))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.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 (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)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.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))) |
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(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 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 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #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 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #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) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.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 (-.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)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.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)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.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 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.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)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.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)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.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 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))) |
(/.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 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
(/.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) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (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) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (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) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.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 (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (log1p.f64 (fma.f64 x x x)))) |
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.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 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (exp.f64 (log.f64 (fma.f64 x #s(literal -1 binary64) #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) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #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) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (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) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(*.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))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.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 (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)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.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)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (fma.f64 x x x))))) |
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))) |
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 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 (-.f64 #s(literal 0 binary64) 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))) |
(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)) |
| 1× | egg-herbie |
| 7 542× | accelerator-lowering-fma.f32 |
| 7 542× | accelerator-lowering-fma.f64 |
| 2 696× | *-lowering-*.f32 |
| 2 696× | *-lowering-*.f64 |
| 1 866× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 369 |
| 1 | 141 | 369 |
| 2 | 438 | 357 |
| 3 | 1300 | 357 |
| 4 | 4655 | 357 |
| 5 | 7381 | 357 |
| 0 | 8082 | 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) |
(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))) |
(* (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)))) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 0 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)))))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 0 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) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #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) |
(-.f64 #s(literal 0 binary64) 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) |
(-.f64 #s(literal 0 binary64) 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) |
(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) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
Compiled 7 419 to 720 computations (90.3% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 316 | 8 | 324 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 317 | 8 | 325 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| 65.0% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) | |
| ▶ | 96.9% | (fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| 58.1% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) | |
| ▶ | 67.6% | (-.f64 #s(literal 1 binary64) x) |
| ▶ | 99.7% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
| ▶ | 60.4% | (*.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))))) |
| 46.3% | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 0 binary64) x)) (-.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
Compiled 248 to 142 computations (42.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 192 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 12288 | (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
| ✓ | 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 | (/.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 | (fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| 17 496× | accelerator-lowering-fma.f32 |
| 17 496× | accelerator-lowering-fma.f64 |
| 3 522× | *-lowering-*.f32 |
| 3 522× | *-lowering-*.f64 |
| 2 544× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 133 |
| 1 | 69 | 127 |
| 2 | 161 | 126 |
| 3 | 450 | 126 |
| 4 | 2518 | 126 |
| 5 | 6736 | 126 |
| 0 | 8049 | 116 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (sqrt x) y) (- 1 x)) |
(sqrt x) |
x |
y |
(- 1 x) |
1 |
(- 1 x) |
1 |
x |
(+ (* x (+ (* y (sqrt (/ 1 x))) -1)) 1) |
x |
(+ (* y (sqrt (/ 1 x))) -1) |
y |
(sqrt (/ 1 x)) |
(/ 1 x) |
1 |
-1 |
(* (+ (* y (sqrt x)) (+ 1 x)) (* (- 1 (+ (* y (sqrt x)) x)) (/ 1 (- 1 (+ (* y (sqrt x)) x))))) |
(+ (* y (sqrt x)) (+ 1 x)) |
y |
(sqrt x) |
x |
(+ 1 x) |
1 |
(* (- 1 (+ (* y (sqrt x)) x)) (/ 1 (- 1 (+ (* y (sqrt x)) x)))) |
(- 1 (+ (* y (sqrt x)) x)) |
(+ (* y (sqrt x)) x) |
(/ 1 (- 1 (+ (* y (sqrt x)) x))) |
(+ (- 1 x) (* y (pow (pow x 1/4) 2))) |
(- 1 x) |
1 |
x |
(* y (pow (pow x 1/4) 2)) |
y |
(pow (pow x 1/4) 2) |
(pow x 1/4) |
1/4 |
2 |
| Outputs |
|---|
(+ (* (sqrt x) y) (- 1 x)) |
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) |
(sqrt x) |
(sqrt.f64 x) |
x |
y |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(+ (* x (+ (* y (sqrt (/ 1 x))) -1)) 1) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
x |
(+ (* y (sqrt (/ 1 x))) -1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
y |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
-1 |
#s(literal -1 binary64) |
(* (+ (* y (sqrt x)) (+ 1 x)) (* (- 1 (+ (* y (sqrt x)) x)) (/ 1 (- 1 (+ (* y (sqrt x)) x))))) |
(+.f64 x (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(+ (* y (sqrt x)) (+ 1 x)) |
(+.f64 x (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
y |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* (- 1 (+ (* y (sqrt x)) x)) (/ 1 (- 1 (+ (* y (sqrt x)) x)))) |
#s(literal 1 binary64) |
(- 1 (+ (* y (sqrt x)) x)) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) |
(+ (* y (sqrt x)) x) |
(fma.f64 y (sqrt.f64 x) x) |
(/ 1 (- 1 (+ (* y (sqrt x)) x))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) |
(+ (- 1 x) (* y (pow (pow x 1/4) 2))) |
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* y (pow (pow x 1/4) 2)) |
(fma.f64 y (sqrt.f64 x) #s(literal 0 binary64)) |
y |
(pow (pow x 1/4) 2) |
(sqrt.f64 x) |
(pow x 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
2 |
#s(literal 2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.1% | (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.8% | (fma.f64 y (sqrt.f64 x) x) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) |
| ✓ | accuracy | 95.9% | (*.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 | 96.9% | (fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| 55.0ms | 256× | 0 | valid |
Compiled 162 to 30 computations (81.5% saved)
ival-mult: 14.0ms (36% of total)ival-add: 7.0ms (18% of total)ival-pow: 6.0ms (15.4% of total)ival-sqrt: 4.0ms (10.3% of total)ival-div: 3.0ms (7.7% of total)ival-pow2: 3.0ms (7.7% of total)ival-sub: 2.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (sqrt x) y) (- 1 x))> |
#<alt (sqrt x)> |
#<alt (- 1 x)> |
#<alt (+ (* x (+ (* y (sqrt (/ 1 x))) -1)) 1)> |
#<alt (+ (* y (sqrt (/ 1 x))) -1)> |
#<alt (sqrt (/ 1 x))> |
#<alt (/ 1 x)> |
#<alt (* (- 1 (+ (* y (sqrt x)) x)) (/ 1 (- 1 (+ (* y (sqrt x)) x))))> |
#<alt (* (+ (* y (sqrt x)) (+ 1 x)) (* (- 1 (+ (* y (sqrt x)) x)) (/ 1 (- 1 (+ (* y (sqrt x)) x)))))> |
#<alt (+ (* y (sqrt x)) (+ 1 x))> |
#<alt (pow (pow x 1/4) 2)> |
#<alt (+ (- 1 x) (* y (pow (pow x 1/4) 2)))> |
#<alt (pow x 1/4)> |
#<alt (/ 1 (- 1 (+ (* y (sqrt x)) x)))> |
#<alt (+ (* y (sqrt x)) x)> |
#<alt (* y (pow (pow x 1/4) 2))> |
| 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 (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 (* -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 (+ 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 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))> |
#<alt (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))> |
#<alt (* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))> |
#<alt (* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 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 (+ 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 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 (* (sqrt x) y))> |
#<alt (+ 1 (+ x (* (sqrt x) y)))> |
#<alt (+ 1 (+ x (* (sqrt x) y)))> |
#<alt (+ 1 (+ x (* (sqrt x) y)))> |
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))> |
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<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 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 (* (sqrt x) y))> |
#<alt (+ 1 (+ x (* (sqrt x) y)))> |
#<alt (+ 1 (+ x (* (sqrt x) y)))> |
#<alt (+ 1 (+ x (* (sqrt x) y)))> |
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))> |
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 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 (* -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 (* (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 (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<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 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 (* (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))))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | x | @ | 0 | (pow x 1/4) |
| 20.0ms | x | @ | -inf | (pow x 1/4) |
| 6.0ms | x | @ | inf | (pow x 1/4) |
| 1.0ms | x | @ | -inf | (/ 1 (- 1 (+ (* y (sqrt x)) x))) |
| 1.0ms | x | @ | 0 | (+ (* x (+ (* y (sqrt (/ 1 x))) -1)) 1) |
| 1× | batch-egg-rewrite |
| 5 114× | accelerator-lowering-fma.f32 |
| 5 114× | accelerator-lowering-fma.f64 |
| 3 924× | /-lowering-/.f32 |
| 3 924× | /-lowering-/.f64 |
| 3 886× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 90 |
| 1 | 202 | 83 |
| 2 | 1566 | 83 |
| 0 | 8294 | 76 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (sqrt x) y) (- 1 x)) |
(sqrt x) |
(- 1 x) |
(+ (* x (+ (* y (sqrt (/ 1 x))) -1)) 1) |
(+ (* y (sqrt (/ 1 x))) -1) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(* (- 1 (+ (* y (sqrt x)) x)) (/ 1 (- 1 (+ (* y (sqrt x)) x)))) |
(* (+ (* y (sqrt x)) (+ 1 x)) (* (- 1 (+ (* y (sqrt x)) x)) (/ 1 (- 1 (+ (* y (sqrt x)) x))))) |
(+ (* y (sqrt x)) (+ 1 x)) |
(pow (pow x 1/4) 2) |
(+ (- 1 x) (* y (pow (pow x 1/4) 2))) |
(pow x 1/4) |
(/ 1 (- 1 (+ (* y (sqrt x)) x))) |
(+ (* y (sqrt x)) x) |
(* y (pow (pow x 1/4) 2)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
(+.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 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x)) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))) (+.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) 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 (sqrt.f64 x) y x))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y 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)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))))) (/.f64 (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))))) |
(-.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)) (fma.f64 x x (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) 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)) (fma.f64 x x (*.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)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (/.f64 (*.f64 x 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 x (*.f64 (sqrt.f64 x) y)))) (/.f64 (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x)) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))))) |
(fma.f64 x (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 x (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) 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)) |
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y))))) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 x (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) x) x))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y y)) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))) (*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))) (*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x)) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 y y)))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 x (*.f64 y y)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) x) x)))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)))))) (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) (fma.f64 x (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) x) x)))) (neg.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))) (*.f64 x (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (*.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 y y)) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 y y)) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x (*.f64 y y)) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 (*.f64 x (*.f64 y y)) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x))))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 x (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x)) (fma.f64 x (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) 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 x (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 x (*.f64 y y))))) |
(*.f64 (fma.f64 x (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 x (/.f64 y (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x)) |
(*.f64 (/.f64 y (sqrt.f64 x)) x) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 8 900× | accelerator-lowering-fma.f32 |
| 8 900× | accelerator-lowering-fma.f64 |
| 3 610× | *-lowering-*.f32 |
| 3 610× | *-lowering-*.f64 |
| 2 838× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 265 | 2573 |
| 1 | 771 | 2481 |
| 2 | 2576 | 2372 |
| 3 | 7577 | 2364 |
| 0 | 8841 | 2167 |
| 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))))) |
(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 (* (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)) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(+ 1 (* -1 x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 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 |
(+ 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))))) |
(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 (* (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))))) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(/ 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)) |
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))) |
(* (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)))) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #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) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (sqrt.f64 x) y (-.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 |
#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) |
(-.f64 #s(literal 0 binary64) 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) |
(-.f64 #s(literal 0 binary64) 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) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #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)) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) 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) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64)) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64)) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 x) 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)) (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) 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)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (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) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(+.f64 x (fma.f64 (sqrt.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 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(+.f64 x (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 (+ x (* (sqrt x) y))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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)) |
(* 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 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 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 (/ 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 (/ 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 (+ x (* (sqrt x) y))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(* y (+ (sqrt x) (+ (/ 1 y) (/ x y)))) |
(+.f64 x (fma.f64 (sqrt.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 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y))))) |
(+.f64 x (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 (+ x (* (sqrt x) y))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(+ 1 (+ x (* (sqrt x) y))) |
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
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(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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) |
(* (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) |
Compiled 38 089 to 2 340 computations (93.9% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 444 | 8 | 1 452 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 449 | 11 | 1 460 |
| Status | Accuracy | Program |
|---|---|---|
| 96.9% | (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)) | |
| 94.4% | (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) (-.f64 #s(literal 1 binary64) x)) | |
| ▶ | 99.8% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) y (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 99.9% | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| ▶ | 65.0% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ▶ | 61.9% | (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
| ✓ | 67.6% | (-.f64 #s(literal 1 binary64) x) |
| ▶ | 34.9% | (-.f64 #s(literal 0 binary64) x) |
| 33.7% | (+.f64 #s(literal 1 binary64) x) | |
| 33.2% | (*.f64 (sqrt.f64 x) y) | |
| ▶ | 33.5% | #s(literal 1 binary64) |
Compiled 162 to 110 computations (32.1% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
| ✓ | 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 0 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) y (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) |
| 976× | accelerator-lowering-fma.f32 |
| 976× | accelerator-lowering-fma.f64 |
| 544× | *-lowering-*.f32 |
| 544× | *-lowering-*.f64 |
| 362× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 72 |
| 1 | 37 | 68 |
| 2 | 72 | 68 |
| 3 | 174 | 68 |
| 4 | 310 | 68 |
| 5 | 548 | 68 |
| 6 | 788 | 68 |
| 7 | 1315 | 68 |
| 8 | 1570 | 68 |
| 9 | 1786 | 68 |
| 10 | 1922 | 68 |
| 11 | 1964 | 68 |
| 12 | 1980 | 68 |
| 13 | 1981 | 68 |
| 0 | 1981 | 65 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (* (/ 1 (sqrt x)) x) y) (- 1 x)) |
(* (/ 1 (sqrt x)) x) |
(/ 1 (sqrt x)) |
1 |
(sqrt x) |
x |
y |
(- 1 x) |
1 |
(- 0 x) |
0 |
x |
(+ (* (sqrt x) y) 1) |
(sqrt x) |
x |
y |
1 |
(+ (* x (* y (sqrt (/ 1 x)))) 1) |
x |
(* y (sqrt (/ 1 x))) |
y |
(sqrt (/ 1 x)) |
(/ 1 x) |
1 |
| Outputs |
|---|
(+ (* (* (/ 1 (sqrt x)) x) y) (- 1 x)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) |
(* (/ 1 (sqrt x)) x) |
(/.f64 x (sqrt.f64 x)) |
(/ 1 (sqrt x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
1 |
#s(literal 1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
y |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
x |
(+ (* (sqrt x) y) 1) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
x |
y |
1 |
#s(literal 1 binary64) |
(+ (* x (* y (sqrt (/ 1 x)))) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
x |
(* y (sqrt (/ 1 x))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
y |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.7% | (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 96.8% | (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
| ✓ | 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 0 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) y (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) |
| 63.0ms | 256× | 0 | valid |
Compiled 72 to 20 computations (72.2% saved)
ival-mult: 7.0ms (35% of total)ival-div: 4.0ms (20% of total)ival-sqrt: 4.0ms (20% of total)ival-add: 3.0ms (15% of total)ival-sub: 2.0ms (10% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 1 (sqrt x)) x)> |
#<alt (+ (* (* (/ 1 (sqrt x)) x) y) (- 1 x))> |
#<alt (/ 1 (sqrt x))> |
#<alt (sqrt x)> |
#<alt (- 0 x)> |
#<alt (+ (* (sqrt x) y) 1)> |
#<alt (+ (* x (* y (sqrt (/ 1 x)))) 1)> |
#<alt (sqrt (/ 1 x))> |
#<alt (/ 1 x)> |
#<alt (* y (sqrt (/ 1 x)))> |
| Outputs |
|---|
#<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 (+ 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 (* -1 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) (/ 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 (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))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 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 (* -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 (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* (sqrt 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> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<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 (* (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 (pow (sqrt -1) 2)))> |
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))> |
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))> |
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* (/ 1 (sqrt x)) x) |
| 1.0ms | x | @ | -inf | (+ (* (* (/ 1 (sqrt x)) x) y) (- 1 x)) |
| 0.0ms | x | @ | -inf | (+ (* x (* y (sqrt (/ 1 x)))) 1) |
| 0.0ms | y | @ | 0 | (* y (sqrt (/ 1 x))) |
| 0.0ms | x | @ | -inf | (/ 1 (sqrt x)) |
| 1× | batch-egg-rewrite |
| 14 452× | accelerator-lowering-fma.f32 |
| 14 452× | accelerator-lowering-fma.f64 |
| 4 112× | *-lowering-*.f32 |
| 4 112× | *-lowering-*.f64 |
| 2 516× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 55 |
| 1 | 110 | 45 |
| 2 | 907 | 39 |
| 0 | 9323 | 36 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (sqrt x)) x) |
(+ (* (* (/ 1 (sqrt x)) x) y) (- 1 x)) |
(/ 1 (sqrt x)) |
(sqrt x) |
(- 0 x) |
(+ (* (sqrt x) y) 1) |
(+ (* x (* y (sqrt (/ 1 x)))) 1) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(* y (sqrt (/ 1 x))) |
| Outputs |
|---|
(+.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))) |
(+.f64 (sqrt.f64 x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64)) (sqrt.f64 x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x)) |
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64))) |
(exp.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal -1 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))) |
(sqrt.f64 x) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (sqrt.f64 x)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))) |
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(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) x) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y)) |
(neg.f64 (*.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(neg.f64 (/.f64 (*.f64 y #s(literal -1 binary64)) (sqrt.f64 x))) |
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (neg.f64 y))) |
(/.f64 y (sqrt.f64 x)) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(/.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(/.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) |
(/.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y)) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) |
(*.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
| 1× | egg-herbie |
| 6 218× | accelerator-lowering-fma.f32 |
| 6 218× | accelerator-lowering-fma.f64 |
| 2 582× | *-lowering-*.f32 |
| 2 582× | *-lowering-*.f64 |
| 2 218× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 965 |
| 1 | 179 | 893 |
| 2 | 564 | 875 |
| 3 | 1518 | 872 |
| 4 | 4128 | 872 |
| 5 | 6862 | 872 |
| 0 | 8260 | 810 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(+ 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 (* -1 (* (sqrt (/ 1 x)) y))))) |
(* -1 (* x (- (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) (/ 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))))) |
(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)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(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) |
(+ 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)))) |
(+ 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))) |
(* (sqrt 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 |
(+ 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 (/ 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) |
(* (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 (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
| Outputs |
|---|
(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) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 0 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 (* -1 (* (sqrt (/ 1 x)) y))))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (- (+ 1 (* -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 (- (+ 1 (* -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 (- (+ 1 (* -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) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (sqrt.f64 x) y (-.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)) |
(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 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) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(+ 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) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
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) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 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)) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 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)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* (sqrt x) (* y (pow (sqrt -1) 2))) |
(fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 1 binary64)) |
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) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 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)) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) 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)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (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) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
Compiled 17 778 to 1 975 computations (88.9% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 016 | 3 | 1 019 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 020 | 10 | 1 030 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 61.9% | (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) |
| ▶ | 64.9% | (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)) |
| ✓ | 99.9% | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 65.0% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ✓ | 61.9% | (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
| ✓ | 67.6% | (-.f64 #s(literal 1 binary64) x) |
| ▶ | 33.7% | (+.f64 #s(literal 1 binary64) x) |
| ▶ | 33.2% | (*.f64 (sqrt.f64 x) y) |
| ▶ | 34.9% | (neg.f64 x) |
| ✓ | 33.5% | #s(literal 1 binary64) |
Compiled 101 to 71 computations (29.7% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) y) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | -64 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 x (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)) |
| 36× | +-lowering-+.f64 |
| 36× | +-lowering-+.f32 |
| 24× | accelerator-lowering-fma.f32 |
| 24× | accelerator-lowering-fma.f64 |
| 20× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 50 |
| 1 | 28 | 50 |
| 2 | 30 | 50 |
| 3 | 32 | 50 |
| 4 | 34 | 50 |
| 5 | 38 | 50 |
| 6 | 58 | 50 |
| 7 | 76 | 50 |
| 8 | 78 | 50 |
| 0 | 78 | 48 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (/ x (sqrt x)) y) 1) |
(/ x (sqrt x)) |
x |
(sqrt x) |
y |
1 |
(neg x) |
x |
(+ 1 x) |
1 |
x |
(* (sqrt x) y) |
(sqrt x) |
x |
y |
(+ (* (/ y (sqrt x)) x) 1) |
(/ y (sqrt x)) |
y |
(sqrt x) |
x |
1 |
| Outputs |
|---|
(+ (* (/ x (sqrt x)) y) 1) |
(fma.f64 x (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(/ x (sqrt x)) |
(/.f64 x (sqrt.f64 x)) |
x |
(sqrt x) |
(sqrt.f64 x) |
y |
1 |
#s(literal 1 binary64) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
x |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
x |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
x |
y |
(+ (* (/ y (sqrt x)) x) 1) |
(fma.f64 x (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(/ y (sqrt x)) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt x) |
(sqrt.f64 x) |
x |
1 |
#s(literal 1 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (/.f64 y (sqrt.f64 x)) |
| ✓ | accuracy | 96.8% | (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) y) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)) |
| ✓ | accuracy | 99.2% | (/.f64 x (sqrt.f64 x)) |
| 32.0ms | 256× | 0 | valid |
Compiled 50 to 15 computations (70% saved)
ival-sqrt: 5.0ms (23.7% of total)ival-div: 4.0ms (18.9% of total)ival-mult: 4.0ms (18.9% of total)ival-neg: 4.0ms (18.9% of total)ival-add: 3.0ms (14.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (/ x (sqrt x)) y) 1)> |
#<alt (/ x (sqrt x))> |
#<alt (sqrt x)> |
#<alt (neg x)> |
#<alt (+ 1 x)> |
#<alt (* (sqrt x) y)> |
#<alt (+ (* (/ y (sqrt x)) x) 1)> |
#<alt (/ y (sqrt x))> |
| Outputs |
|---|
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 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)> |
#<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 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 (* (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 1> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))> |
#<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)> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ y (sqrt x)) |
| 0.0ms | x | @ | -inf | (+ (* (/ x (sqrt x)) y) 1) |
| 0.0ms | x | @ | inf | (+ (* (/ x (sqrt x)) y) 1) |
| 0.0ms | x | @ | 0 | (+ (* (/ x (sqrt x)) y) 1) |
| 0.0ms | y | @ | -inf | (+ (* (/ y (sqrt x)) x) 1) |
| 1× | batch-egg-rewrite |
| 4 662× | accelerator-lowering-fma.f32 |
| 4 662× | accelerator-lowering-fma.f64 |
| 2 978× | *-lowering-*.f32 |
| 2 978× | *-lowering-*.f64 |
| 1 942× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 37 |
| 1 | 74 | 37 |
| 2 | 546 | 29 |
| 3 | 5612 | 29 |
| 0 | 8254 | 27 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ x (sqrt x)) y) 1) |
(/ x (sqrt x)) |
(sqrt x) |
(neg x) |
(+ 1 x) |
(* (sqrt x) y) |
(+ (* (/ y (sqrt x)) x) 1) |
(/ y (sqrt x)) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(+.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 (*.f64 y (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(fma.f64 x (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 (*.f64 y y) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 y (*.f64 (sqrt.f64 x) y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (*.f64 x y) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 x) y) (/.f64 (*.f64 (sqrt.f64 x) y) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 y y) x) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 y (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x y) (/.f64 y (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 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) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 (/.f64 y (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 y (*.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 y (*.f64 x y) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal -1 binary64))) (fma.f64 y (fma.f64 x y (sqrt.f64 x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 y (*.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64))) (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x y) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x y))))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64)) (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))) |
(/.f64 (fma.f64 y (*.f64 x y) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x y) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (*.f64 x y))))))) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (fma.f64 y (*.f64 (*.f64 x y) (*.f64 y (*.f64 x y))) (fma.f64 x (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x y)) (*.f64 y (*.f64 x y)) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) #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)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (*.f64 x y))))) (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal -1 binary64)) (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 (*.f64 x y) (*.f64 y (*.f64 x y))) (fma.f64 x (*.f64 y y) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x y) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (*.f64 (*.f64 (/.f64 #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 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) (fma.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (fma.f64 (/.f64 #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 #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (*.f64 (/.f64 #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 #s(literal -1 binary64))))) (fma.f64 (*.f64 x y) (/.f64 y (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64)))) (-.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (*.f64 x y)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64)))) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (fma.f64 y (*.f64 (*.f64 x y) (*.f64 y (*.f64 x y))) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 x y)) (*.f64 y (*.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (fma.f64 x (*.f64 y y) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x y)))) #s(literal -1 binary64)) |
(*.f64 #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)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (/.f64 #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)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y (*.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (fma.f64 y (*.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 x y) #s(literal -1 binary64)) (fma.f64 y (*.f64 x y) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x y))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x y)))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.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)))))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 y (*.f64 x y))) (*.f64 (*.f64 y (*.f64 x y)) (*.f64 y (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (fma.f64 y (*.f64 x y) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) y)))) (+.f64 (fma.f64 y (*.f64 x y) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) y))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 x y) #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal -1 binary64))) (fma.f64 y (fma.f64 x y (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (*.f64 x y)))))) (fma.f64 y (fma.f64 x y (sqrt.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x)))) |
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) y))) |
(/.f64 y (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (sqrt.f64 x)) |
(pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(*.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))) |
| 1× | egg-herbie |
| 3 268× | *-lowering-*.f32 |
| 3 268× | *-lowering-*.f64 |
| 2 346× | accelerator-lowering-fma.f32 |
| 2 346× | accelerator-lowering-fma.f64 |
| 1 532× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 676 |
| 1 | 94 | 652 |
| 2 | 234 | 652 |
| 3 | 598 | 652 |
| 4 | 1554 | 652 |
| 5 | 4196 | 652 |
| 6 | 5588 | 652 |
| 7 | 6885 | 652 |
| 8 | 7597 | 652 |
| 0 | 8058 | 614 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 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))) |
(* (sqrt x) y) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 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) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(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) |
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) |
(* (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) |
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)))) |
(+ 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))) |
(* (sqrt x) y) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(* (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) |
| Outputs |
|---|
(+ 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) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
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) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 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)) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(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) |
(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) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
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) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 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)) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 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)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* (sqrt x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(* (sqrt (/ 1 x)) y) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
Compiled 10 350 to 1 037 computations (90% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 779 | 3 | 782 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 781 | 11 | 792 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 65.0% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ✓ | 61.9% | (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
| 29.3% | (/.f64 (*.f64 x y) (sqrt.f64 x)) | |
| ✓ | 67.6% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | 33.7% | (+.f64 #s(literal 1 binary64) x) |
| 30.1% | (*.f64 (/.f64 y (sqrt.f64 x)) x) | |
| ✓ | 33.2% | (*.f64 (sqrt.f64 x) y) |
| ✓ | 34.9% | (neg.f64 x) |
| 3.2% | x | |
| ✓ | 33.5% | #s(literal 1 binary64) |
Compiled 267 to 104 computations (61% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) x) |
(/.f64 (*.f64 x y) (sqrt.f64 x)) |
(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) y (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))) (-.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) (-.f64 #s(literal 0 binary64) x)) (-.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
3 calls:
| 13.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 7.0ms | y |
| 7.0ms | x |
| 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 0 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:
| 17.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 2 | x |
| 95.2% | 3 | y |
| 86.5% | 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 0 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 |
|---|---|---|
| 92.7% | 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 0 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) x) |
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 |
|---|---|---|
| 67.6% | 1 | x |
| 67.6% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 67.6% | 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) |
(-.f64 #s(literal 0 binary64) x) |
| Outputs |
|---|
(neg.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
3 calls:
| 28.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.4% | 4 | y |
| 67.3% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 66.3% | 2 | 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 |
|---|---|---|
| 66.9% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 10 to 7 computations (30% saved)
Total -19.7b remaining (-46.2%)
Threshold costs -19.7b (-46.2%)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
| Outputs |
|---|
#s(literal 1 binary64) |
3 calls:
| 2.0ms | x |
| 1.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.5% | 1 | y |
| 33.5% | 1 | x |
| 33.5% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 16 to 11 computations (31.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.0221535395496098e+32 | 2.9540323767782616e+33 |
| 11.0ms | -3.2182161110308987e+90 | -8.829505439650839e+88 |
| 10.0ms | 208× | 0 | valid |
Compiled 195 to 155 computations (20.5% saved)
ival-sub: 1.0ms (19.9% of total)ival-add: 1.0ms (19.9% of total)ival-mult: 1.0ms (19.9% of total)ival-sqrt: 1.0ms (19.9% 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 | 1.5785881227533838e+82 | 7.684244849475281e+86 |
| 17.0ms | -3.5102820328047637e+131 | -5.421578858570737e+110 |
| 14.0ms | 304× | 0 | valid |
Compiled 260 to 202 computations (22.3% saved)
ival-sub: 2.0ms (26.6% of total)ival-mult: 2.0ms (26.6% of total)ival-sqrt: 2.0ms (26.6% of total)ival-add: 1.0ms (13.3% 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 | -423.31518882779807 | 0.9999863384847714 |
Compiled 13 to 12 computations (7.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -423.31518882779807 | 0.9999863384847714 |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 4× | if-if-or-not_binary32 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 74 |
| 1 | 45 | 74 |
| 2 | 48 | 74 |
| 3 | 49 | 74 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 y #s(literal -89999999999999998114352265849916975417577148811279145397760407758222311187192099589062656 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 2900000000000000245690696474820608 binary64)) (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -2400000000000000056566482034008613999798878708136516471511790094243876004318788158235942467821878824629553856512 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 58000000000000002595584867410504094490685070935022061089846384236477285902080540672 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 -400 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 -400 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 y #s(literal -89999999999999998114352265849916975417577148811279145397760407758222311187192099589062656 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 2900000000000000245690696474820608 binary64)) (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -2400000000000000056566482034008613999798878708136516471511790094243876004318788158235942467821878824629553856512 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 58000000000000002595584867410504094490685070935022061089846384236477285902080540672 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 -400 binary64)) (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) #s(literal -400 binary64)) (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -400 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) #s(literal -400 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 14 452× | accelerator-lowering-fma.f32 |
| 14 452× | accelerator-lowering-fma.f64 |
| 8 900× | accelerator-lowering-fma.f32 |
| 8 900× | accelerator-lowering-fma.f64 |
| 7 542× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 42 | 17 |
| 2 | 353 | 17 |
| 3 | 5351 | 17 |
| 0 | 9013 | 16 |
| 0 | 265 | 2573 |
| 1 | 771 | 2481 |
| 2 | 2576 | 2372 |
| 3 | 7577 | 2364 |
| 0 | 8841 | 2167 |
| 0 | 18 | 55 |
| 1 | 110 | 45 |
| 2 | 907 | 39 |
| 0 | 9323 | 36 |
| 0 | 52 | 369 |
| 1 | 141 | 369 |
| 2 | 438 | 357 |
| 3 | 1300 | 357 |
| 4 | 4655 | 357 |
| 5 | 7381 | 357 |
| 0 | 8082 | 330 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 166 to 93 computations (44% saved)
Compiled 190 to 70 computations (63.2% saved)
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