
Time bar (total: 13.2s)
| 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)
| 430.0ms | 8 253× | 0 | valid |
| 28.0ms | 261× | 0 | invalid |
| 0.0ms | 2× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sqrt: 66.0ms (28.3% of total)ival-mult: 57.0ms (24.4% of total)ival-sub: 55.0ms (23.6% of total)ival-add: 41.0ms (17.6% of total)ival-true: 6.0ms (2.6% of total)exact: 5.0ms (2.1% of total)ival-assert: 3.0ms (1.3% 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 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) 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 |
| 28.0ms | 512× | 0 | valid |
Compiled 64 to 32 computations (50% saved)
ival-sqrt: 4.0ms (30.5% of total)ival-sub: 3.0ms (22.9% of total)ival-mult: 3.0ms (22.9% of total)ival-add: 2.0ms (15.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 10 to 7 computations (30% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 y (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.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 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* y (sqrt x)) |
(*.f64 y (sqrt.f64 x)) |
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% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 y (sqrt.f64 x)) |
| 22.0ms | 256× | 0 | valid |
Compiled 22 to 9 computations (59.1% saved)
ival-sqrt: 10.0ms (70.6% of total)ival-mult: 2.0ms (14.1% of total)ival-sub: 1.0ms (7.1% of total)ival-add: 1.0ms (7.1% 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 (* y (sqrt x))> |
#<alt (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) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+ (- 1 x) (* y (sqrt x))) |
| 0.0ms | x | @ | inf | (+ (- 1 x) (* y (sqrt x))) |
| 0.0ms | x | @ | 0 | (+ (- 1 x) (* y (sqrt x))) |
| 0.0ms | y | @ | 0 | (+ (- 1 x) (* y (sqrt x))) |
| 0.0ms | x | @ | -inf | (* 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) |
(* y (sqrt x)) |
(sqrt x) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 #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) (+.f64 x (*.f64 y (sqrt.f64 x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (+.f64 (*.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) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 y (sqrt.f64 x)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 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) (+.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y y)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (+.f64 (*.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 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) #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) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) |
(fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) |
(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) (+.f64 x (*.f64 y (sqrt.f64 x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 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) (+.f64 x (*.f64 y (sqrt.f64 x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 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 (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.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 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) |
(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) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.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 (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 y (sqrt.f64 x))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.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) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.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 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 (*.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 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.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) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.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))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.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))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x x)))) (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) 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 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (exp.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.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) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.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) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x x)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) 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 (log.f64 (*.f64 y (sqrt.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (sqrt.f64 x) (exp.f64 (log.f64 y))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 x)) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.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))) |
| 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 | 1298 | 357 |
| 4 | 4657 | 357 |
| 5 | 7379 | 357 |
| 0 | 8084 | 330 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(* (sqrt x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(- (+ 1 (* (sqrt x) y)) x) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(- (+ 1 (* (sqrt x) y)) x) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) 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) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Compiled 7 319 to 731 computations (90% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 314 | 10 | 324 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 314 | 11 | 325 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 40.7% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))))) |
| 63.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) | |
| ▶ | 64.8% | (-.f64 #s(literal 1 binary64) x) |
| ▶ | 99.7% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))) |
| ▶ | 70.3% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))) |
| ✓ | 99.9% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| ▶ | 63.8% | (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
| 40.2% | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))))) | |
| 46.8% | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))) | |
| 37.4% | (*.f64 (sqrt.f64 x) y) | |
| 63.8% | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
Compiled 370 to 201 computations (45.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) |
| ✓ | cost-diff | 1792 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))))) |
| ✓ | cost-diff | 0 | (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) y) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))) |
| ✓ | cost-diff | 6656 | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
| 11 626× | accelerator-lowering-fma.f32 |
| 11 626× | accelerator-lowering-fma.f64 |
| 4 986× | *-lowering-*.f32 |
| 4 986× | *-lowering-*.f64 |
| 2 988× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 275 |
| 1 | 93 | 247 |
| 2 | 361 | 235 |
| 3 | 1424 | 227 |
| 4 | 6386 | 213 |
| 0 | 8228 | 202 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/4) y))) |
(- 1 x) |
1 |
x |
(* (pow x 1/4) (* (pow x 1/4) y)) |
(pow x 1/4) |
1/4 |
(* (pow x 1/4) y) |
y |
(- 1 x) |
1 |
x |
(+ 1 (* (sqrt x) y)) |
1 |
(* (sqrt x) y) |
(sqrt x) |
x |
y |
(+ (- 1 x) (* y (pow (* x x) 1/4))) |
(- 1 x) |
1 |
x |
(* y (pow (* x x) 1/4)) |
y |
(pow (* x x) 1/4) |
(* x x) |
1/4 |
(/ (- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y))))) |
(- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y)))) |
(* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) |
(+ 1 x) |
1 |
x |
(* (+ 1 x) (* (+ 1 x) (+ 1 x))) |
(* (+ 1 x) (+ 1 x)) |
(* x (* (* x (* y y)) (* y y))) |
(* (* x (* y y)) (* y y)) |
(* x (* y y)) |
(* y y) |
y |
(* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))) |
(- 1 (+ x (* y (sqrt x)))) |
(+ x (* y (sqrt x))) |
(* y (sqrt x)) |
(sqrt x) |
(+ (* (+ 1 x) (+ 1 x)) (* x (* y y))) |
| Outputs |
|---|
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/4) y))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* (pow x 1/4) (* (pow x 1/4) y)) |
(*.f64 y (sqrt.f64 x)) |
(pow x 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(* (pow x 1/4) y) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) |
y |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(+ 1 (* (sqrt x) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
x |
y |
(+ (- 1 x) (* y (pow (* x x) 1/4))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* y (pow (* x x) 1/4)) |
(*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
y |
(pow (* x x) 1/4) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(* x x) |
(*.f64 x x) |
1/4 |
#s(literal 1/4 binary64) |
(/ (- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) |
(- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y y)))))) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* (+ 1 x) (* (+ 1 x) (+ 1 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(* (+ 1 x) (+ 1 x)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
(* x (* (* x (* y y)) (* y y))) |
(*.f64 (*.f64 x (*.f64 x y)) (*.f64 y (*.f64 y y))) |
(* (* x (* y y)) (* y y)) |
(*.f64 (*.f64 y y) (*.f64 x (*.f64 y y))) |
(* x (* y y)) |
(*.f64 x (*.f64 y y)) |
(* y y) |
(*.f64 y y) |
y |
(* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y y))))))) |
(- 1 (+ x (* y (sqrt x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(+ x (* y (sqrt x))) |
(+.f64 x (*.f64 y (sqrt.f64 x))) |
(* y (sqrt x)) |
(*.f64 y (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
(+ (* (+ 1 x) (+ 1 x)) (* x (* y y))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y y)))))) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 94.0% | (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y))) |
| ✓ | accuracy | 85.5% | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) |
| ✓ | accuracy | 84.3% | (*.f64 x (*.f64 y y)) |
| ✓ | accuracy | 46.0% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))))) |
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
| ✓ | accuracy | 55.1% | (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (sqrt.f64 x) y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))) |
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 1/4 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) |
| ✓ | accuracy | 99.5% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
| 62.0ms | 256× | 0 | valid |
Compiled 291 to 33 computations (88.7% saved)
ival-mult: 19.0ms (44.2% of total)ival-pow: 10.0ms (23.3% of total)ival-add: 6.0ms (14% of total)ival-sub: 4.0ms (9.3% of total)ival-div: 2.0ms (4.7% of total)ival-sqrt: 2.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (pow x 1/4) (* (pow x 1/4) y))> |
#<alt (+ (- 1 x) (* (pow x 1/4) (* (pow x 1/4) y)))> |
#<alt (- 1 x)> |
#<alt (pow x 1/4)> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (sqrt x)> |
#<alt (+ (- 1 x) (* y (pow (* x x) 1/4)))> |
#<alt (* y (pow (* x x) 1/4))> |
#<alt (pow (* x x) 1/4)> |
#<alt (/ (- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))))> |
#<alt (- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y))))> |
#<alt (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x))))> |
#<alt (+ 1 x)> |
#<alt (* (pow x 1/4) y)> |
#<alt (* x x)> |
#<alt (* x (* y y))> |
#<alt (* x (* (* x (* y y)) (* y y)))> |
| Outputs |
|---|
#<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)> |
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#<alt (+ (* x (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (+ (* x (- (+ (* 6 (/ 1 (- 1 (* (sqrt x) y)))) (+ (* x (- (+ (* 4 (/ 1 (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (+ (* 6 (/ 1 (- 1 (* (sqrt x) y)))) (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (* -1 (/ (+ 2 (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y))) (/ (pow y 4) (- 1 (* (sqrt x) y)))))))) (- 1 (* (sqrt x) y))) (/ (* (- (+ 1 (* -1 (+ 2 (pow y 2)))) (* (sqrt x) y)) (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* -1 (/ (+ 2 (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y))) (/ (pow y 4) (- 1 (* (sqrt x) y)))))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ (pow y 2) (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))> |
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#<alt (* x (- (+ (* -1 (/ (- 6 (pow y 4)) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (* -1 (/ (+ 2 (pow y 2)) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (* 2 (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (+ (/ 4 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (* (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) (+ (* -1 (/ (+ 2 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (* 4 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))))))))))> |
#<alt (* x (- (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) (- (+ (* -1 (/ (- 6 (pow y 4)) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (* 2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ (* (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) (+ (* -1 (/ (+ 2 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (* 4 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (+ 1 (* (sqrt (/ 1 x)) y))) (/ (pow y 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))))) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (* 4 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (/ (* (+ 2 (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2))) (+ (* -1 (/ (+ 2 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (* 4 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (+ 1 (* (sqrt (/ 1 x)) y)))))) (pow x 3))) (+ (* -1 (/ (- 6 (pow y 4)) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))))) (+ (* -1 (/ (+ 2 (pow y 2)) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (* 2 (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (+ (/ 4 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (* (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) (+ (* -1 (/ (+ 2 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (* 4 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))))))))))> |
#<alt (* -1 (/ x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
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#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (+ (* 6 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (+ (* -1 (/ (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) x)) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* 6 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (+ (/ 4 (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (+ (* 6 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (+ (* -1 (/ (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))))))) (+ (* -1 (/ (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) x)) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (/ (pow (+ 1 x) 2) (- 1 x))> |
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#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))) (+ (* (sqrt x) (/ (+ (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))) (/ x (- 1 x))) (- 1 x))) (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2))))))) (+ (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))) (/ x (- 1 x))))) (* -1 (* (sqrt x) (/ (pow (+ 1 x) 2) (pow (- 1 x) 2)))))) (/ (pow (+ 1 x) 2) (- 1 x)))> |
#<alt (* (sqrt x) y)> |
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#<alt (* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (pow y 2)))) (* -1 (/ (- 1 x) y))))> |
#<alt (* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) x)) (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (- 1 x))) (/ (* (pow (+ 1 x) 2) (- 1 x)) x))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (- 1 x) y)) (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) (pow y 2)))))))> |
#<alt (* (sqrt x) y)> |
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#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) y))) (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- 1 x))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (- 1 x)) y))) (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) (* x y))) (/ (* (pow (+ 1 x) 2) (- 1 x)) (* x y)))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y)) (* -1 (- 1 x))) y)))))> |
#<alt 1> |
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#<alt (pow x 4)> |
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#<alt (pow x 4)> |
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#<alt (+ (* -1 (* (pow x 2) (pow y 4))) (pow (+ 1 x) 4))> |
#<alt (+ (* -1 (* (pow x 2) (pow y 4))) (pow (+ 1 x) 4))> |
#<alt (* -1 (* (pow x 2) (pow y 4)))> |
#<alt (* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2)))> |
#<alt (* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2)))> |
#<alt (* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 4)))> |
#<alt (* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2)))> |
#<alt (* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2)))> |
#<alt (* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2)))> |
#<alt 1> |
#<alt (+ 1 (* 4 x))> |
#<alt (+ 1 (* x (+ 4 (* 6 x))))> |
#<alt (+ 1 (* x (+ 4 (* x (+ 6 (* 4 x))))))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (+ 1 (* 4 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1 (+ (* 4 (/ 1 x)) (/ 6 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1 (+ (* 4 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 6 (pow x 2))))))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (+ 1 (* 4 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1 (+ (* 4 (/ 1 x)) (/ 6 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 6 (* 4 (/ 1 x))) x)) 4) 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 (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 69.0ms | y | @ | 0 | (* (pow x 1/4) y) |
| 43.0ms | x | @ | -inf | (pow x 1/4) |
| 27.0ms | x | @ | 0 | (pow x 1/4) |
| 25.0ms | x | @ | 0 | (+ (- 1 x) (* y (pow (* x x) 1/4))) |
| 12.0ms | y | @ | 0 | (+ (- 1 x) (* y (pow (* x x) 1/4))) |
| 1× | batch-egg-rewrite |
| 4 752× | *-lowering-*.f32 |
| 4 752× | *-lowering-*.f64 |
| 4 664× | /-lowering-/.f32 |
| 4 664× | /-lowering-/.f64 |
| 3 972× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 158 |
| 1 | 217 | 105 |
| 2 | 1916 | 103 |
| 0 | 8194 | 99 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (pow x 1/4) (* (pow x 1/4) y)) |
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/4) y))) |
(- 1 x) |
(pow x 1/4) |
(+ 1 (* (sqrt x) y)) |
(* (sqrt x) y) |
(sqrt x) |
(+ (- 1 x) (* y (pow (* x x) 1/4))) |
(* y (pow (* x x) 1/4)) |
(pow (* x x) 1/4) |
(/ (- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y))))) |
(- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y)))) |
(* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) |
(+ 1 x) |
(* (pow x 1/4) y) |
(* x x) |
(* x (* y y)) |
(* x (* (* x (* y y)) (* y y))) |
| Outputs |
|---|
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 x))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (sqrt.f64 x)))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) x) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))))) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.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 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (*.f64 y (sqrt.f64 x)))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 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) (+.f64 x #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 y (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))))) |
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))) |
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64))) (+.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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) (+.f64 x (*.f64 y (sqrt.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))) (*.f64 x (*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))) |
(pow.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))) |
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(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (sqrt.f64 x)))) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x y) y) |
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y) |
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y y))) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 y y) (*.f64 x (*.f64 x (*.f64 y y)))) |
(*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) x) |
(*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y y)) |
(*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 x (*.f64 y (*.f64 y y))) (*.f64 x y)) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x y)) y) |
(*.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 y y)))) y) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) y) y) |
| 1× | egg-herbie |
| 7 050× | accelerator-lowering-fma.f32 |
| 7 050× | accelerator-lowering-fma.f64 |
| 4 574× | *-lowering-*.f32 |
| 4 574× | *-lowering-*.f64 |
| 3 452× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 454 | 4838 |
| 1 | 1467 | 4475 |
| 2 | 5848 | 4376 |
| 0 | 8639 | 4147 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
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(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
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(* -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) |
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(* (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)) |
(+ 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) |
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(* -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)))) |
(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 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
1 |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (/ 1 y))) |
(* y (+ (sqrt x) (/ 1 y))) |
(* y (+ (sqrt x) (/ 1 y))) |
(* (sqrt x) y) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(* (sqrt x) y) |
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(* -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) |
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(* (sqrt x) y) |
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(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ 1 (* (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 (sqrt -1)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (sqrt -1)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (sqrt -1)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (sqrt -1)))) (/ 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))) |
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(* (sqrt x) y) |
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(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* (sqrt x) y) |
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(* -1 (* (sqrt x) (* y (sqrt -1)))) |
(* -1 (* (sqrt x) (* y (sqrt -1)))) |
(* -1 (* (sqrt x) (* y (sqrt -1)))) |
(* -1 (* (sqrt x) (* y (sqrt -1)))) |
(sqrt x) |
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(sqrt x) |
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(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(/ 1 (- 1 (* (sqrt x) y))) |
(+ (* x (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y)))) |
(+ (* x (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (+ (* x (- (+ (* 6 (/ 1 (- 1 (* (sqrt x) y)))) (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (* -1 (/ (+ 2 (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y))) (/ (pow y 4) (- 1 (* (sqrt x) y)))))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ (pow y 2) (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y)))) |
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(* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y)))) |
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(* x (- (+ (* -1 (/ (- 6 (pow y 4)) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (* -1 (/ (+ 2 (pow y 2)) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (* 2 (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (+ (/ 4 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (* (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) (+ (* -1 (/ (+ 2 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (* 4 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))))))))) |
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(* -1 (/ x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
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(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (+ (* 6 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (+ (* -1 (/ (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) x)) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* 6 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (+ (/ 4 (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (+ (* 6 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (+ (* -1 (/ (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))))))) (+ (* -1 (/ (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) x)) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(/ (pow (+ 1 x) 2) (- 1 x)) |
(+ (* (sqrt x) (/ (* y (pow (+ 1 x) 2)) (pow (- 1 x) 2))) (/ (pow (+ 1 x) 2) (- 1 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))) (/ x (- 1 x))))) (* -1 (* (sqrt x) (/ (pow (+ 1 x) 2) (pow (- 1 x) 2)))))) (/ (pow (+ 1 x) 2) (- 1 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))) (+ (* (sqrt x) (/ (+ (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))) (/ x (- 1 x))) (- 1 x))) (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2))))))) (+ (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))) (/ x (- 1 x))))) (* -1 (* (sqrt x) (/ (pow (+ 1 x) 2) (pow (- 1 x) 2)))))) (/ (pow (+ 1 x) 2) (- 1 x))) |
(* (sqrt x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (pow y 2)))) (* -1 (/ (- 1 x) y)))) |
(* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) x)) (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (- 1 x))) (/ (* (pow (+ 1 x) 2) (- 1 x)) x))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (- 1 x) y)) (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) (pow y 2))))))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) y))) (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- 1 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (- 1 x)) y))) (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) (* x y))) (/ (* (pow (+ 1 x) 2) (- 1 x)) (* x y)))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y)) (* -1 (- 1 x))) y))))) |
1 |
(+ 1 (* 4 x)) |
(+ 1 (* x (+ 4 (* x (- 6 (pow y 4)))))) |
(+ 1 (* x (+ 4 (* x (- (+ 6 (* 4 x)) (pow y 4)))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* 4 (/ 1 x)))) |
(* (pow x 4) (- (+ 1 (+ (* 4 (/ 1 x)) (/ 6 (pow x 2)))) (/ (pow y 4) (pow x 2)))) |
(* (pow x 4) (- (+ 1 (+ (* 4 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 6 (pow x 2))))) (/ (pow y 4) (pow x 2)))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* 4 (/ 1 x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 6 (pow y 4)) x)) 4) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 6 (* 4 (/ 1 x))) (pow y 4)) x)) 4) x)))) |
(pow (+ 1 x) 4) |
(+ (* -1 (* (pow x 2) (pow y 4))) (pow (+ 1 x) 4)) |
(+ (* -1 (* (pow x 2) (pow y 4))) (pow (+ 1 x) 4)) |
(+ (* -1 (* (pow x 2) (pow y 4))) (pow (+ 1 x) 4)) |
(* -1 (* (pow x 2) (pow y 4))) |
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2))) |
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2))) |
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2))) |
(* -1 (* (pow x 2) (pow y 4))) |
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2))) |
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2))) |
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2))) |
1 |
(+ 1 (* 4 x)) |
(+ 1 (* x (+ 4 (* 6 x)))) |
(+ 1 (* x (+ 4 (* x (+ 6 (* 4 x)))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* 4 (/ 1 x)))) |
(* (pow x 4) (+ 1 (+ (* 4 (/ 1 x)) (/ 6 (pow x 2))))) |
(* (pow x 4) (+ 1 (+ (* 4 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 6 (pow x 2)))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* 4 (/ 1 x)))) |
(* (pow x 4) (+ 1 (+ (* 4 (/ 1 x)) (/ 6 (pow x 2))))) |
(* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 6 (* 4 (/ 1 x))) x)) 4) 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))) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
| Outputs |
|---|
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(+ 1 (* (sqrt x) y)) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.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)))) |
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.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)))) |
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* (sqrt x) y)) x) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* (sqrt x) y)) x) |
(+.f64 (*.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))) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
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) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(+ 1 (* (sqrt x) y)) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (sqrt x) y)) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (/ 1 y))) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(* y (+ (sqrt x) (/ 1 y))) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(* y (+ (sqrt x) (/ 1 y))) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(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 (* (sqrt x) y)) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (sqrt -1)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (sqrt -1)))) (/ 1 x)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))))) #s(literal 1 binary64)) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (sqrt -1)))) (/ 1 x)))) |
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(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (sqrt -1)))) (/ 1 x)))) |
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(/ (pow (+ 1 x) 2) (- 1 x)) |
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(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (pow y 2)))) (* -1 (/ (- 1 x) y)))) |
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(* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) x)) (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (- 1 x))) (/ (* (pow (+ 1 x) 2) (- 1 x)) x))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (- 1 x) y)) (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) (pow y 2))))))) |
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(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) y))) (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- 1 x))) y))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 4 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4 binary64))) |
(+ 1 (* x (+ 4 (* x (- 6 (pow y 4)))))) |
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(+ 1 (* x (+ 4 (* x (- (+ 6 (* 4 x)) (pow y 4)))))) |
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(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* 4 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x))) |
(* (pow x 4) (- (+ 1 (+ (* 4 (/ 1 x)) (/ 6 (pow x 2)))) (/ (pow y 4) (pow x 2)))) |
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(* (pow x 4) (- (+ 1 (+ (* 4 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 6 (pow x 2))))) (/ (pow y 4) (pow x 2)))) |
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(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* 4 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x))) |
(* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 6 (pow y 4)) x)) 4) x)))) |
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(* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 6 (* 4 (/ 1 x))) (pow y 4)) x)) 4) x)))) |
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(pow (+ 1 x) 4) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) |
(+ (* -1 (* (pow x 2) (pow y 4))) (pow (+ 1 x) 4)) |
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(+ (* -1 (* (pow x 2) (pow y 4))) (pow (+ 1 x) 4)) |
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(+ (* -1 (* (pow x 2) (pow y 4))) (pow (+ 1 x) 4)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))) |
(* -1 (* (pow x 2) (pow y 4))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x))) |
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x))) |
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 4))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x))) |
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x))) |
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4 binary64))) |
(+ 1 (* x (+ 4 (* 6 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 6 binary64))))) |
(+ 1 (* x (+ 4 (* x (+ 6 (* 4 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64))))))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* 4 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x))) |
(* (pow x 4) (+ 1 (+ (* 4 (/ 1 x)) (/ 6 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1 (+ (* 4 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 6 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x))))))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* 4 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x))) |
(* (pow x 4) (+ 1 (+ (* 4 (/ 1 x)) (/ 6 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 6 (* 4 (/ 1 x))) x)) 4) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(*.f64 y (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(*.f64 y (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(*.f64 y (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(*.f64 y (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (pow y 4)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))) |
Compiled 69 588 to 3 593 computations (94.8% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 494 | 13 | 1 507 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 499 | 19 | 1 518 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 33.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))))) |
| 40.7% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) | |
| 47.2% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) | |
| ▶ | 45.5% | (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
| 47.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| 40.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) | |
| ✓ | 64.8% | (-.f64 #s(literal 1 binary64) x) |
| 36.7% | (-.f64 #s(literal 0 binary64) x) | |
| ▶ | 99.7% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)))) |
| ✓ | 99.9% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| ▶ | 53.8% | (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y)) |
| 63.7% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) y)) | |
| 60.6% | (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))) | |
| ✓ | 63.8% | (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
| 40.2% | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))))) | |
| 37.4% | (*.f64 (sqrt.f64 x) y) | |
| 83.0% | (*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| 63.8% | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| ▶ | 28.5% | #s(literal 1 binary64) |
Compiled 495 to 299 computations (39.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)))) |
| ✓ | cost-diff | 6592 | (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)) |
| ✓ | cost-diff | 6656 | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y))) |
| 10 932× | accelerator-lowering-fma.f32 |
| 10 932× | accelerator-lowering-fma.f64 |
| 4 904× | *-lowering-*.f32 |
| 4 904× | *-lowering-*.f64 |
| 3 380× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 267 |
| 1 | 101 | 251 |
| 2 | 325 | 231 |
| 3 | 1215 | 220 |
| 4 | 5551 | 220 |
| 0 | 8711 | 208 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y)))) |
(- 1 x) |
1 |
x |
(* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y))) |
(pow x 1/4) |
1/4 |
(* (pow x 1/8) (* (pow x 1/8) y)) |
(pow x 1/8) |
1/8 |
(* (pow x 1/8) y) |
y |
1 |
(/ (* (+ x 1) (+ x 1)) (- 1 x)) |
(* (+ x 1) (+ x 1)) |
(+ x 1) |
x |
1 |
(- 1 x) |
(+ 1 (* (pow (* x x) 1/4) y)) |
1 |
(* (pow (* x x) 1/4) y) |
(pow (* x x) 1/4) |
(* x x) |
x |
1/4 |
y |
(/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y))))) |
(- 1 (* x (* (* x (* y y)) (* y y)))) |
1 |
(* x (* (* x (* y y)) (* y y))) |
x |
(* (* x (* y y)) (* y y)) |
(* x (* y y)) |
(* y y) |
y |
(* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))) |
(- 1 (+ x (* y (sqrt x)))) |
(+ x (* y (sqrt x))) |
(* y (sqrt x)) |
(sqrt x) |
(+ (* (+ 1 x) (+ 1 x)) (* x (* y y))) |
(* (+ 1 x) (+ 1 x)) |
(+ 1 x) |
| Outputs |
|---|
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y)))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y))) |
(*.f64 y (sqrt.f64 x)) |
(pow x 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(* (pow x 1/8) (* (pow x 1/8) y)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) |
(pow x 1/8) |
(pow.f64 x #s(literal 1/8 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
(* (pow x 1/8) y) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) |
y |
1 |
#s(literal 1 binary64) |
(/ (* (+ x 1) (+ x 1)) (- 1 x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) |
(* (+ x 1) (+ x 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
x |
1 |
#s(literal 1 binary64) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* (pow (* x x) 1/4) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))) |
1 |
#s(literal 1 binary64) |
(* (pow (* x x) 1/4) y) |
(*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
(pow (* x x) 1/4) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(* x x) |
(*.f64 x x) |
x |
1/4 |
#s(literal 1/4 binary64) |
y |
(/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 y y)))))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y y)))))))) |
(- 1 (* x (* (* x (* y y)) (* y y)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 y y)))))) |
1 |
#s(literal 1 binary64) |
(* x (* (* x (* y y)) (* y y))) |
(*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 y y))))) |
x |
(* (* x (* y y)) (* y y)) |
(*.f64 y (*.f64 y (*.f64 x (*.f64 y y)))) |
(* x (* y y)) |
(*.f64 x (*.f64 y y)) |
(* y y) |
(*.f64 y y) |
y |
(* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y y))))))) |
(- 1 (+ x (* y (sqrt x)))) |
(-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) |
(+ x (* y (sqrt x))) |
(+.f64 x (*.f64 y (sqrt.f64 x))) |
(* y (sqrt x)) |
(*.f64 y (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
(+ (* (+ 1 x) (+ 1 x)) (* x (* y y))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y y)))))) |
(* (+ 1 x) (+ 1 x)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 y (sqrt.f64 x)) |
| ✓ | accuracy | 94.0% | (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y))) |
| ✓ | accuracy | 84.3% | (*.f64 x (*.f64 y y)) |
| ✓ | accuracy | 66.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) |
| ✓ | accuracy | 55.1% | (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 77.0% | (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 1/4 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) |
| ✓ | accuracy | 99.5% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y))) |
| ✓ | accuracy | 99.5% | (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)) |
| 127.0ms | 256× | 0 | valid |
Compiled 260 to 35 computations (86.5% saved)
ival-add: 34.0ms (43.5% of total)ival-mult: 18.0ms (23% of total)ival-pow: 15.0ms (19.2% of total)ival-sub: 4.0ms (5.1% of total)ival-sqrt: 4.0ms (5.1% of total)ival-div: 3.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y)))> |
#<alt (* (pow x 1/8) (* (pow x 1/8) y))> |
#<alt (+ (- 1 x) (* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y))))> |
#<alt (- 1 x)> |
#<alt (/ (* (+ x 1) (+ x 1)) (- 1 x))> |
#<alt (* (+ x 1) (+ x 1))> |
#<alt (+ x 1)> |
#<alt (+ 1 (* (pow (* x x) 1/4) y))> |
#<alt (* (pow (* x x) 1/4) y)> |
#<alt (pow (* x x) 1/4)> |
#<alt (* x x)> |
#<alt (/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))))> |
#<alt (- 1 (* x (* (* x (* y y)) (* y y))))> |
#<alt (* x (* (* x (* y y)) (* y y)))> |
#<alt (* (* x (* y y)) (* y y))> |
#<alt (* (pow x 1/8) y)> |
#<alt (pow x 1/4)> |
#<alt (* x (* y y))> |
#<alt (* y (sqrt x))> |
| Outputs |
|---|
#<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 (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<alt (* (pow (* 1 x) 1/4) y)> |
#<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 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* x (+ 3 (* 4 x))))> |
#<alt (+ 1 (* x (+ 3 (* x (+ 4 (* 4 x))))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* x (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 1))> |
#<alt (* x (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (+ (* 3 (/ 1 x)) (/ 4 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 3) x)))))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 x)))> |
#<alt (+ 1 (* x (+ 2 x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (+ 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 (sqrt -1))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (sqrt -1))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (sqrt -1))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (sqrt -1))) (/ 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) 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 (sqrt -1))))> |
#<alt (* -1 (* (sqrt x) (* y (sqrt -1))))> |
#<alt (* -1 (* (sqrt x) (* y (sqrt -1))))> |
#<alt (* -1 (* (sqrt x) (* y (sqrt -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)> |
#<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) (sqrt -1)))> |
#<alt (* -1 (* (sqrt x) (sqrt -1)))> |
#<alt (* -1 (* (sqrt x) (sqrt -1)))> |
#<alt (* -1 (* (sqrt x) (sqrt -1)))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 1 (- 1 (* (sqrt x) y)))> |
#<alt (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))> |
#<alt (+ (* x (- (+ (* x (- (+ (* -1 (/ (pow y 4) (- 1 (* (sqrt x) y)))) (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (* -1 (/ (+ 2 (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y))))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))> |
#<alt (+ (* x (- (+ (* x (- (+ (* -1 (/ (pow y 4) (- 1 (* (sqrt x) y)))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (+ (* -1 (/ (pow y 4) (- 1 (* (sqrt x) y)))) (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (* -1 (/ (+ 2 (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y))))))) (- 1 (* (sqrt x) y))) (/ (* (- (+ 1 (* -1 (+ 2 (pow y 2)))) (* (sqrt x) y)) (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y)))))) (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* -1 (/ (+ 2 (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y))))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))> |
#<alt (/ (pow y 4) (* x (+ 1 (* (sqrt (/ 1 x)) y))))> |
#<alt (/ (+ (/ (* (pow y 4) (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2)))))) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 4) (+ 1 (* (sqrt (/ 1 x)) y)))) x)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 4) (+ 2 (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (* -1 (/ (* (pow y 4) (pow (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) 2)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) (pow x 2))) (/ (pow y 4) (+ 1 (* (sqrt (/ 1 x)) y)))) (* -1 (/ (* (pow y 4) (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2)))))) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) x)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 4) (* (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) (+ 2 (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2))))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (+ (* -1 (/ (pow y 4) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) (+ (* -1 (/ (* (pow y 4) (+ 2 (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (* -1 (/ (* (pow y 4) (pow (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) 2)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))) (+ 1 (* (sqrt (/ 1 x)) y))))) (pow x 3))) (/ (pow y 4) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (* -1 (/ (* (pow y 4) (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2)))))) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (* -1 (/ (* (pow y 4) (+ 2 (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)))) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (* -1 (/ (* (pow y 4) (pow (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) 2)) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))) (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))))))) x)> |
#<alt (/ (pow y 4) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (/ (+ (* -1 (/ (* (pow y 4) (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2)))) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (+ (* -1 (/ (* (pow y 4) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (pow y 4) (pow (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (* -1 (/ (* (pow y 4) (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2)))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* -1 (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow y 4) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (+ (/ (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (+ (* -1 (/ (* (pow y 4) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (pow y 4) (pow (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ (* (pow y 4) (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))))) (+ (* -1 (/ (* (pow y 4) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (pow y 4) (pow (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (* -1 (/ (* (pow y 4) (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2)))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* -1 (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))> |
#<alt (/ 1 (* (pow (+ 1 x) 2) (- 1 x)))> |
#<alt (+ (* (sqrt x) (/ y (* (pow (+ 1 x) 2) (pow (- 1 x) 2)))) (/ 1 (* (pow (+ 1 x) 2) (- 1 x))))> |
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (* (pow (+ 1 x) 2) (pow (- 1 x) 3)))) (/ x (* (pow (+ 1 x) 4) (- 1 x)))))) (* -1 (* (sqrt x) (/ 1 (* (pow (+ 1 x) 2) (pow (- 1 x) 2))))))) (/ 1 (* (pow (+ 1 x) 2) (- 1 x))))> |
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (* (pow (+ 1 x) 4) (pow (- 1 x) 2))))) (+ (* (sqrt x) (/ (+ (* -1 (/ x (* (pow (+ 1 x) 2) (pow (- 1 x) 3)))) (/ x (* (pow (+ 1 x) 4) (- 1 x)))) (- 1 x))) (* (sqrt (pow x 3)) (/ 1 (* (pow (+ 1 x) 4) (pow (- 1 x) 2)))))))) (+ (* -1 (/ x (* (pow (+ 1 x) 2) (pow (- 1 x) 3)))) (/ x (* (pow (+ 1 x) 4) (- 1 x)))))) (* -1 (* (sqrt x) (/ 1 (* (pow (+ 1 x) 2) (pow (- 1 x) 2))))))) (/ 1 (* (pow (+ 1 x) 2) (- 1 x))))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (pow y 2)))) (* -1 (/ (- 1 x) y))))> |
#<alt (* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) x)) (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (- 1 x))) (/ (* (pow (+ 1 x) 2) (- 1 x)) x))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (- 1 x) y)) (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) (pow y 2)))))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) y))) (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- 1 x))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (- 1 x)) y))) (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) (* x y))) (/ (* (pow (+ 1 x) 2) (- 1 x)) (* x y)))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y)) (* -1 (- 1 x))) y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 4))))> |
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 4))))> |
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 4))))> |
#<alt (* -1 (* (pow x 2) (pow y 4)))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))> |
#<alt (* -1 (* (pow x 2) (pow y 4)))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 4))))> |
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 4))))> |
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 4))))> |
#<alt (* -1 (* (pow x 2) (pow y 4)))> |
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))> |
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))> |
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 4)))> |
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))> |
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))> |
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* (pow x 2) (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* x (pow y 4))> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) y)> |
#<alt (* (pow (* 1 x) 1/8) 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 (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 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))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y))))) |
| 2.0ms | x | @ | inf | (/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y))))) |
| 1.0ms | x | @ | 0 | (/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y))))) |
| 1.0ms | y | @ | -inf | (+ 1 (* (pow (* x x) 1/4) y)) |
| 1.0ms | y | @ | 0 | (/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y))))) |
| 1× | batch-egg-rewrite |
| 4 526× | /-lowering-/.f32 |
| 4 526× | /-lowering-/.f64 |
| 4 404× | accelerator-lowering-fma.f32 |
| 4 404× | accelerator-lowering-fma.f64 |
| 4 246× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 162 |
| 1 | 229 | 120 |
| 2 | 2210 | 117 |
| 0 | 8702 | 113 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y))) |
(* (pow x 1/8) (* (pow x 1/8) y)) |
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y)))) |
(- 1 x) |
(/ (* (+ x 1) (+ x 1)) (- 1 x)) |
(* (+ x 1) (+ x 1)) |
(+ x 1) |
(+ 1 (* (pow (* x x) 1/4) y)) |
(* (pow (* x x) 1/4) y) |
(pow (* x x) 1/4) |
(* x x) |
(/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y))))) |
(- 1 (* x (* (* x (* y y)) (* y y)))) |
(* x (* (* x (* y y)) (* y y))) |
(* (* x (* y y)) (* y y)) |
(* (pow x 1/8) y) |
(pow x 1/4) |
(* x (* y y)) |
(* y (sqrt x)) |
| Outputs |
|---|
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 x))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (sqrt.f64 x)))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) x) |
(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 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.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 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 y (sqrt.f64 x))))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)) (pow.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y) (pow.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 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 (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 y (sqrt.f64 x))) |
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 y y) (*.f64 x (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 y y) (*.f64 x (*.f64 y y))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 y y) (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 (*.f64 y y) (*.f64 x (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 y y) (*.f64 x (*.f64 y y)))))))) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y y))) #s(literal 2 binary64))) |
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(*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 x (*.f64 y y))) x) |
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(*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 x (*.f64 y (*.f64 y y))) (*.f64 x y)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x y)) y) |
(*.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 y y)))) y) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 y y)) y) y) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 x (*.f64 y y)))) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y)) |
(*.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) |
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(*.f64 (*.f64 y y) (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)) |
(*.f64 (*.f64 x y) (*.f64 y (*.f64 y y))) |
(*.f64 (*.f64 x (*.f64 y (*.f64 y y))) y) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) x) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 1/16 binary64)) y)) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) |
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64))) |
(exp.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) (*.f64 #s(literal 1/8 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) |
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(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 y y)) |
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(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(*.f64 y (*.f64 x y)) |
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(*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (sqrt.f64 x)))) |
(*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x y) y) |
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(*.f64 (sqrt.f64 x) y) |
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(*.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) |
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(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) |
| 1× | egg-herbie |
| 7 002× | accelerator-lowering-fma.f32 |
| 7 002× | accelerator-lowering-fma.f64 |
| 5 478× | *-lowering-*.f32 |
| 5 478× | *-lowering-*.f64 |
| 2 300× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 418 | 4268 |
| 1 | 1351 | 4024 |
| 2 | 5407 | 3924 |
| 0 | 8761 | 3743 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (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) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(* (pow (* 1 x) 1/4) y) |
(+ 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)))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 (* 4 x)))) |
(+ 1 (* x (+ 3 (* x (+ 4 (* 4 x)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(* x (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 1)) |
(* x (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (* 3 (/ 1 x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (* 3 (/ 1 x)) (/ 4 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 3) x))))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 x))) |
(+ 1 (* x (+ 2 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(+ 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 (sqrt -1)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (sqrt -1))) (/ 1 x)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (sqrt -1))) (/ 1 x)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (sqrt -1))) (/ 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) 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 (sqrt -1)))) |
(* -1 (* (sqrt x) (* y (sqrt -1)))) |
(* -1 (* (sqrt x) (* y (sqrt -1)))) |
(* -1 (* (sqrt x) (* y (sqrt -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) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 (- 1 (* (sqrt x) y))) |
(+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y)))) |
(+ (* x (- (+ (* x (- (+ (* -1 (/ (pow y 4) (- 1 (* (sqrt x) y)))) (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (* -1 (/ (+ 2 (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y))))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y)))) |
(+ (* x (- (+ (* x (- (+ (* -1 (/ (pow y 4) (- 1 (* (sqrt x) y)))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (+ (* -1 (/ (pow y 4) (- 1 (* (sqrt x) y)))) (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (* -1 (/ (+ 2 (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y))))))) (- 1 (* (sqrt x) y))) (/ (* (- (+ 1 (* -1 (+ 2 (pow y 2)))) (* (sqrt x) y)) (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y)))))) (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* -1 (/ (+ 2 (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y))))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y)))) |
(/ (pow y 4) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) |
(/ (+ (/ (* (pow y 4) (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2)))))) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 4) (+ 1 (* (sqrt (/ 1 x)) y)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 4) (+ 2 (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (* -1 (/ (* (pow y 4) (pow (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) 2)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) (pow x 2))) (/ (pow y 4) (+ 1 (* (sqrt (/ 1 x)) y)))) (* -1 (/ (* (pow y 4) (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2)))))) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 4) (* (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) (+ 2 (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2))))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (+ (* -1 (/ (pow y 4) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) (+ (* -1 (/ (* (pow y 4) (+ 2 (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (* -1 (/ (* (pow y 4) (pow (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) 2)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))) (+ 1 (* (sqrt (/ 1 x)) y))))) (pow x 3))) (/ (pow y 4) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (* -1 (/ (* (pow y 4) (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2)))))) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (* -1 (/ (* (pow y 4) (+ 2 (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)))) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (* -1 (/ (* (pow y 4) (pow (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) 2)) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))) (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))))))) x) |
(/ (pow y 4) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (/ (+ (* -1 (/ (* (pow y 4) (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2)))) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (+ (* -1 (/ (* (pow y 4) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (pow y 4) (pow (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (* -1 (/ (* (pow y 4) (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2)))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* -1 (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow y 4) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (+ (/ (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (+ (* -1 (/ (* (pow y 4) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (pow y 4) (pow (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ (* (pow y 4) (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))))) (+ (* -1 (/ (* (pow y 4) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (pow y 4) (pow (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (* -1 (/ (* (pow y 4) (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2)))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* -1 (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) |
(/ 1 (* (pow (+ 1 x) 2) (- 1 x))) |
(+ (* (sqrt x) (/ y (* (pow (+ 1 x) 2) (pow (- 1 x) 2)))) (/ 1 (* (pow (+ 1 x) 2) (- 1 x)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (* (pow (+ 1 x) 2) (pow (- 1 x) 3)))) (/ x (* (pow (+ 1 x) 4) (- 1 x)))))) (* -1 (* (sqrt x) (/ 1 (* (pow (+ 1 x) 2) (pow (- 1 x) 2))))))) (/ 1 (* (pow (+ 1 x) 2) (- 1 x)))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (* (pow (+ 1 x) 4) (pow (- 1 x) 2))))) (+ (* (sqrt x) (/ (+ (* -1 (/ x (* (pow (+ 1 x) 2) (pow (- 1 x) 3)))) (/ x (* (pow (+ 1 x) 4) (- 1 x)))) (- 1 x))) (* (sqrt (pow x 3)) (/ 1 (* (pow (+ 1 x) 4) (pow (- 1 x) 2)))))))) (+ (* -1 (/ x (* (pow (+ 1 x) 2) (pow (- 1 x) 3)))) (/ x (* (pow (+ 1 x) 4) (- 1 x)))))) (* -1 (* (sqrt x) (/ 1 (* (pow (+ 1 x) 2) (pow (- 1 x) 2))))))) (/ 1 (* (pow (+ 1 x) 2) (- 1 x)))) |
(* (sqrt x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (pow y 2)))) (* -1 (/ (- 1 x) y)))) |
(* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) x)) (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (- 1 x))) (/ (* (pow (+ 1 x) 2) (- 1 x)) x))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (- 1 x) y)) (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) (pow y 2))))))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) y))) (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- 1 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (- 1 x)) y))) (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) (* x y))) (/ (* (pow (+ 1 x) 2) (- 1 x)) (* x y)))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y)) (* -1 (- 1 x))) y))))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 4)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 4)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 4)))) |
(* -1 (* (pow x 2) (pow y 4))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4))) |
(* -1 (* (pow x 2) (pow y 4))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 4)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 4)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 4)))) |
(* -1 (* (pow x 2) (pow y 4))) |
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2))) |
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2))) |
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2))) |
(* -1 (* (pow x 2) (pow y 4))) |
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2))) |
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2))) |
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2))) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* (pow x 2) (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* x (pow y 4)) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) y) |
(* (pow (* 1 x) 1/8) 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)))))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 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 |
|---|
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
(+ 1 (* (sqrt x) y)) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
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(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
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(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
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1 |
#s(literal 1 binary64) |
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(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4))) |
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(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4))) |
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(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4))) |
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(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))) |
1 |
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(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2))) |
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(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2))) |
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(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2))) |
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(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2))) |
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(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (pow y 4)) |
(*.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/8 binary64)))) |
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/8 binary64)))) |
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/8 binary64)))) |
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/8 binary64)))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) y) |
(*.f64 y (pow.f64 x #s(literal 1/8 binary64))) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -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 52 728 to 4 062 computations (92.3% saved)
32 alts after pruning (25 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 528 | 18 | 1 546 |
| Fresh | 4 | 7 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 533 | 32 | 1 565 |
| Status | Accuracy | Program |
|---|---|---|
| 17.4% | (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) | |
| ▶ | 39.0% | (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
| 37.5% | (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) | |
| ✓ | 33.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))))) |
| 40.7% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) | |
| 30.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)) | |
| 45.4% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) | |
| 38.5% | (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) | |
| 43.1% | (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) | |
| ✓ | 45.5% | (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
| 18.8% | (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) | |
| 19.5% | (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) | |
| ▶ | 47.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ▶ | 40.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | 64.8% | (-.f64 #s(literal 1 binary64) x) |
| ▶ | 36.7% | (-.f64 #s(literal -3 binary64) x) |
| ✓ | 99.9% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 36.3% | (+.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) | |
| ✓ | 53.8% | (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y)) |
| 63.7% | (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y))) | |
| 60.6% | (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))) | |
| ✓ | 63.8% | (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
| 29.8% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)))))) | |
| 29.5% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64))))) | |
| 28.4% | (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) | |
| 38.5% | (*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) | |
| 37.4% | (*.f64 (sqrt.f64 x) y) | |
| ▶ | 83.0% | (*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| 36.3% | (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x))) | |
| 36.2% | (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal -1 binary64))) | |
| 63.8% | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| ✓ | 28.5% | #s(literal 1 binary64) |
Compiled 1 022 to 534 computations (47.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 768 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal -3 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ✓ | cost-diff | 128 | (*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| 15 548× | accelerator-lowering-fma.f32 |
| 15 548× | accelerator-lowering-fma.f64 |
| 3 116× | *-lowering-*.f32 |
| 3 116× | *-lowering-*.f64 |
| 3 024× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 266 |
| 1 | 86 | 262 |
| 2 | 214 | 248 |
| 3 | 710 | 208 |
| 4 | 3125 | 208 |
| 0 | 8218 | 197 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (+ (sqrt x) (/ (- 1 x) y))) |
y |
(+ (sqrt x) (/ (- 1 x) y)) |
(sqrt x) |
x |
(/ (- 1 x) y) |
(- 1 x) |
1 |
(- -3 x) |
-3 |
x |
(/ 1 (/ (+ x 1) (- 1 (* x x)))) |
1 |
(/ (+ x 1) (- 1 (* x x))) |
(+ x 1) |
x |
(- 1 (* x x)) |
(* x x) |
(/ 1 (/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x))))) |
1 |
(/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x)))) |
(+ 1 (* x (+ x 1))) |
(* x (+ x 1)) |
x |
(+ x 1) |
(- 1 (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(/ (/ (+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) (* (- 1 x) (/ (- 1 x) (- 1 (* x x))))) (- 1 x)) |
(/ (+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) (* (- 1 x) (/ (- 1 x) (- 1 (* x x))))) |
(+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) |
(* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) |
(* (- 1 (* x x)) x) |
(- 1 (* x x)) |
1 |
(* x x) |
x |
(/ (- 1 x) (- 1 (* x x))) |
(- 1 x) |
(* (- 1 x) 1) |
(* (- 1 x) (/ (- 1 x) (- 1 (* x x)))) |
| Outputs |
|---|
(* y (+ (sqrt x) (/ (- 1 x) y))) |
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))) |
y |
(+ (sqrt x) (/ (- 1 x) y)) |
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(sqrt x) |
(sqrt.f64 x) |
x |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(- -3 x) |
(-.f64 #s(literal -3 binary64) x) |
-3 |
#s(literal -3 binary64) |
x |
(/ 1 (/ (+ x 1) (- 1 (* x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(/ (+ x 1) (- 1 (* x x))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
(- 1 (* x x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(/ 1 (/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
1 |
#s(literal 1 binary64) |
(/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(+ 1 (* x (+ x 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) |
(* x (+ x 1)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
x |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
(- 1 (* x (* x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(/ (/ (+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) (* (- 1 x) (/ (- 1 x) (- 1 (* x x))))) (- 1 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) (* (- 1 x) (/ (- 1 x) (- 1 (* x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* (- 1 (* x x)) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(- 1 (* x x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(* x x) |
(*.f64 x x) |
x |
(/ (- 1 x) (- 1 (* x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(* (- 1 x) 1) |
(-.f64 #s(literal 1 binary64) x) |
(* (- 1 x) (/ (- 1 x) (- 1 (* x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 93.0% | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 77.0% | (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 77.0% | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 68.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 77.0% | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -3 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) x) y) |
| ✓ | accuracy | 100.0% | (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ✓ | accuracy | 83.0% | (*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| 58.0ms | 256× | 0 | valid |
Compiled 300 to 31 computations (89.7% saved)
ival-mult: 18.0ms (43.7% of total)ival-div: 12.0ms (29.1% of total)ival-sub: 5.0ms (12.1% of total)ival-add: 4.0ms (9.7% of total)ival-sqrt: 2.0ms (4.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* y (+ (sqrt x) (/ (- 1 x) y)))> |
#<alt (+ (sqrt x) (/ (- 1 x) y))> |
#<alt (sqrt x)> |
#<alt (/ (- 1 x) y)> |
#<alt (- -3 x)> |
#<alt (/ 1 (/ (+ x 1) (- 1 (* x x))))> |
#<alt (/ (+ x 1) (- 1 (* x x)))> |
#<alt (+ x 1)> |
#<alt (- 1 (* x x))> |
#<alt (/ 1 (/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x)))))> |
#<alt (/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x))))> |
#<alt (+ 1 (* x (+ x 1)))> |
#<alt (* x (+ x 1))> |
#<alt (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x))))> |
#<alt (+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1))> |
#<alt (* (- 1 x) 1)> |
#<alt (/ (/ (+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) (* (- 1 x) (/ (- 1 x) (- 1 (* x x))))) (- 1 x))> |
#<alt (* x x)> |
#<alt (* x (* x x))> |
#<alt (/ (- 1 x) (- 1 (* x x)))> |
#<alt (* (- 1 x) (/ (- 1 x) (- 1 (* x x))))> |
| Outputs |
|---|
#<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 (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))> |
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))> |
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))> |
#<alt (* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))> |
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))> |
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))> |
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))> |
#<alt (* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))> |
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))> |
#<alt (+ (sqrt x) (/ 1 y))> |
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 y)))> |
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))> |
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)> |
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)> |
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)> |
#<alt (sqrt x)> |
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))> |
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))> |
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))> |
#<alt (sqrt x)> |
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))> |
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))> |
#<alt (- (+ (sqrt x) (/ 1 y)) (/ 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 y)> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt -3> |
#<alt (- (* -1 x) 3)> |
#<alt (- (* -1 x) 3)> |
#<alt (- (* -1 x) 3)> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<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> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 x)))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) 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 1> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<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> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 x)))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 x)))> |
#<alt (+ 1 (* x (+ 1 x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 x))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 x)))> |
#<alt (* x (+ 1 (* -1 x)))> |
#<alt (* x (+ 1 (* -1 x)))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<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> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* x (+ 3 (* 4 x))))> |
#<alt (+ 1 (* x (+ 3 (* x (+ 4 (* 4 x))))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* x (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 1))> |
#<alt (* x (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (+ (* 3 (/ 1 x)) (/ 4 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 3) x)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ 1 x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))> |
#<alt 1> |
#<alt (+ 1 (* -2 x))> |
#<alt (+ 1 (* x (- (* 2 x) 2)))> |
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))> |
#<alt -1> |
#<alt (- (* 2 (/ 1 x)) 1)> |
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))> |
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))> |
#<alt -1> |
#<alt (- (* 2 (/ 1 x)) 1)> |
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* y (+ (sqrt x) (/ (- 1 x) y))) |
| 1.0ms | x | @ | 0 | (* y (+ (sqrt x) (/ (- 1 x) y))) |
| 0.0ms | x | @ | -inf | (/ 1 (/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x))))) |
| 0.0ms | y | @ | -inf | (* y (+ (sqrt x) (/ (- 1 x) y))) |
| 0.0ms | x | @ | inf | (/ 1 (/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x))))) |
| 1× | batch-egg-rewrite |
| 4 568× | *-lowering-*.f32 |
| 4 568× | *-lowering-*.f64 |
| 4 530× | /-lowering-/.f32 |
| 4 530× | /-lowering-/.f64 |
| 3 390× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 184 |
| 1 | 222 | 120 |
| 2 | 2073 | 118 |
| 0 | 8328 | 113 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (+ (sqrt x) (/ (- 1 x) y))) |
(+ (sqrt x) (/ (- 1 x) y)) |
(sqrt x) |
(/ (- 1 x) y) |
(- -3 x) |
(/ 1 (/ (+ x 1) (- 1 (* x x)))) |
(/ (+ x 1) (- 1 (* x x))) |
(+ x 1) |
(- 1 (* x x)) |
(/ 1 (/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x))))) |
(/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x)))) |
(+ 1 (* x (+ x 1))) |
(* x (+ x 1)) |
(* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) |
(+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) |
(* (- 1 x) 1) |
(/ (/ (+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) (* (- 1 x) (/ (- 1 x) (- 1 (* x x))))) (- 1 x)) |
(* x x) |
(* x (* x x)) |
(/ (- 1 x) (- 1 (* x x))) |
(* (- 1 x) (/ (- 1 x) (- 1 (* x x)))) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y (*.f64 y (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))) (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) y) (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) y) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) |
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 x y) (sqrt.f64 x))) |
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)) |
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(fma.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))) (-.f64 x (/.f64 (sqrt.f64 x) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 x (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(pow.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(fabs.f64 (sqrt.f64 x)) |
(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 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 x y))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 y x)) (*.f64 y y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
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(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 1× | egg-herbie |
| 12 810× | accelerator-lowering-fma.f32 |
| 12 810× | accelerator-lowering-fma.f64 |
| 5 046× | *-lowering-*.f32 |
| 5 046× | *-lowering-*.f64 |
| 1 598× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 1725 |
| 1 | 584 | 1579 |
| 2 | 1590 | 1496 |
| 3 | 5795 | 1496 |
| 0 | 8485 | 1427 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 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))))) |
(* y (+ (sqrt x) (/ 1 y))) |
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y)))) |
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y)))) |
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y)))) |
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y)))) |
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x))) |
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x))) |
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x))) |
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))) |
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x)))) |
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x)))) |
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x)))) |
(+ (sqrt x) (/ 1 y)) |
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))) |
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))) |
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))) |
(* x (- (sqrt (/ 1 x)) (/ 1 y))) |
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y))) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))) |
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 (* (sqrt x) y)) x) y) |
(/ (- (+ 1 (* (sqrt x) y)) x) y) |
(/ (- (+ 1 (* (sqrt x) y)) x) y) |
(sqrt x) |
(- (+ (sqrt x) (/ 1 y)) (/ x y)) |
(- (+ (sqrt x) (/ 1 y)) (/ x y)) |
(- (+ (sqrt x) (/ 1 y)) (/ x y)) |
(sqrt x) |
(- (+ (sqrt x) (/ 1 y)) (/ x y)) |
(- (+ (sqrt x) (/ 1 y)) (/ x y)) |
(- (+ (sqrt x) (/ 1 y)) (/ 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 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
-3 |
(- (* -1 x) 3) |
(- (* -1 x) 3) |
(- (* -1 x) 3) |
(* -1 x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 x))) |
(+ 1 (* x (+ 1 (* x (+ 1 x))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) 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))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 x))) |
(+ 1 (* x (+ 1 (* x (+ 1 x))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 x))) |
(+ 1 (* x (+ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* -1 x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 (* 4 x)))) |
(+ 1 (* x (+ 3 (* x (+ 4 (* 4 x)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(* x (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 1)) |
(* x (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (* 3 (/ 1 x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (* 3 (/ 1 x)) (/ 4 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 3) x))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
| Outputs |
|---|
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* (sqrt x) y)) x) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* (sqrt x) y)) x) |
(+.f64 (*.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))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(+.f64 (*.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))))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(* y (+ (sqrt x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y)))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
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(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x)))) |
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(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))) |
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(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))) |
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(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y))) |
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(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- (+ 1 (* (sqrt x) y)) x) y) |
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/ (- (+ 1 (* (sqrt x) y)) x) y) |
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/ (- (+ 1 (* (sqrt x) y)) x) y) |
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(sqrt x) |
(sqrt.f64 x) |
(- (+ (sqrt x) (/ 1 y)) (/ x y)) |
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(- (+ (sqrt x) (/ 1 y)) (/ x y)) |
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(- (+ (sqrt x) (/ 1 y)) (/ x y)) |
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(- (+ (sqrt x) (/ 1 y)) (/ x y)) |
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ (sqrt x) (/ 1 y)) (/ x y)) |
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(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 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
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(+ (* -1 (/ x y)) (/ 1 y)) |
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(+ (* -1 (/ x y)) (/ 1 y)) |
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(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
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(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
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(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
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(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
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#s(literal -3 binary64) |
(- (* -1 x) 3) |
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(- (* -1 x) 3) |
(-.f64 #s(literal -3 binary64) x) |
(- (* -1 x) 3) |
(-.f64 #s(literal -3 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) x) |
1 |
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(-.f64 #s(literal 1 binary64) x) |
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(-.f64 #s(literal 1 binary64) x) |
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(+ 1 (* x (+ 1 x))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(/ -1 x) |
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(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x) |
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(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) 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))) |
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(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -1 (pow x 2))) |
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(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
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(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
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(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (pow x 2)) |
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(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
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(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
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#s(literal 1 binary64) |
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(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
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(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x) |
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(+ 1 (* x (+ 1 x))) |
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(+ 1 (* x (+ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
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(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
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(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
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(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
x |
(* x (+ 1 x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) x)) |
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(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
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(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (+ 1 (/ 1 x))) |
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(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) x)) |
x |
(* x (+ 1 (* -1 x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
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(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (* -1 x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
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(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
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(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
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(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (pow x 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (pow x 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x 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 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(+ 1 (* x (+ 3 (* 4 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64))))) |
(+ 1 (* x (+ 3 (* x (+ 4 (* 4 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) x) |
(* x (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x))) |
(* x (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (* 3 (/ 1 x))))) |
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) x) |
(* -1 (* x (+ 1 (+ (* 3 (/ 1 x)) (/ 4 (pow x 2)))))) |
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 3) x))))) |
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 1 (* x (- (* 2 x) 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)) |
Compiled 90 808 to 6 686 computations (92.6% saved)
35 alts after pruning (29 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 124 | 22 | 2 146 |
| Fresh | 13 | 7 | 20 |
| Picked | 4 | 1 | 5 |
| Done | 2 | 5 | 7 |
| Total | 2 143 | 35 | 2 178 |
| Status | Accuracy | Program |
|---|---|---|
| 12.5% | (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) | |
| 14.4% | (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) | |
| 15.3% | (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) | |
| 19.5% | (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) | |
| 32.2% | (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) | |
| 29.7% | (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) | |
| 32.1% | (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) | |
| 32.1% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) | |
| 55.8% | (/.f64 (*.f64 (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) y) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| 65.0% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) | |
| 18.8% | (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) | |
| 19.5% | (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) | |
| 49.2% | (/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x))) | |
| 32.5% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) | |
| 13.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) | |
| 19.9% | (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| 32.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) | |
| 31.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| 36.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) | |
| 36.5% | (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x) | |
| ✓ | 64.8% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | 36.7% | (-.f64 #s(literal -3 binary64) x) |
| ✓ | 99.9% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 36.3% | (+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x)) | |
| ✓ | 53.8% | (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y)) |
| 60.6% | (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))) | |
| ✓ | 63.8% | (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
| 29.8% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))))) | |
| 29.5% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64))))) | |
| 28.4% | (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) | |
| 37.4% | (*.f64 (sqrt.f64 x) y) | |
| 63.7% | (*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))) | |
| 63.8% | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| ✓ | 28.5% | #s(literal 1 binary64) |
| 3.7% | #s(literal -3 binary64) |
Compiled 1 754 to 583 computations (66.8% saved)
| Inputs |
|---|
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(literal -3 binary64) x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x) |
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x))) |
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))))) |
(+.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (sqrt.f64 x) y) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) |
(/.f64 (*.f64 (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) y) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))))) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
3 calls:
| 23.0ms | y |
| 19.0ms | x |
| 18.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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 -3 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(literal -3 binary64) x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x) |
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x))) |
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))))) |
(+.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (sqrt.f64 x) y) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
2 calls:
| 21.0ms | x |
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 2 | x |
| 97.4% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(literal -3 binary64) x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x) |
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x))) |
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))))) |
(+.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x 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:
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(literal -3 binary64) x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x) |
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x))) |
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))))) |
(+.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
2 calls:
| 13.0ms | x |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.0% | 1 | x |
| 66.8% | 2 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(literal -3 binary64) x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x) |
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x))) |
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))))) |
(+.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)))))) |
1 calls:
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.8% | 2 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(literal -3 binary64) x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x) |
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x))) |
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) |
1 calls:
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.0% | 1 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(literal -3 binary64) x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x) |
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) x) |
2 calls:
| 4.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.8% | 1 | x |
| 64.8% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(literal -3 binary64) x) |
(-.f64 #s(literal 0 binary64) x) |
| Outputs |
|---|
#s(literal 1 binary64) |
(-.f64 #s(literal 0 binary64) x) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.2% | 2 | x |
| 40.5% | 2 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(literal -3 binary64) x) |
| Outputs |
|---|
#s(literal 1 binary64) |
(-.f64 #s(literal -3 binary64) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.2% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal -3 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal -3 binary64) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.5% | 1 | y |
| 30.2% | 2 | x |
Compiled 6 to 4 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal -3 binary64) |
| Outputs |
|---|
#s(literal -3 binary64) |
2 calls:
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.7% | 1 | y |
| 3.7% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2469771278216.2295 | 1.1678798566125706e+20 |
| 11.0ms | -8.179489255970074e+33 | -4.251010401272247e+27 |
| 13.0ms | 288× | 0 | valid |
Compiled 283 to 228 computations (19.4% saved)
ival-sub: 2.0ms (29.1% of total)ival-mult: 2.0ms (29.1% of total)ival-sqrt: 2.0ms (29.1% of total)ival-add: 1.0ms (14.5% 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 |
|---|---|---|
| 8.0ms | 4.9555898041355886e+42 | 2.9122319974279197e+44 |
| 12.0ms | -4.268850184603983e+46 | -3.674154570920006e+39 |
| 12.0ms | 256× | 0 | valid |
Compiled 221 to 172 computations (22.2% saved)
ival-mult: 2.0ms (32.2% of total)ival-sqrt: 2.0ms (32.2% of total)ival-sub: 1.0ms (16.1% of total)ival-add: 1.0ms (16.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 4.9555898041355886e+42 | 2.9122319974279197e+44 |
| 36.0ms | 112× | 0 | valid |
Compiled 405 to 201 computations (50.4% saved)
ival-sub: 1.0ms (37% of total)ival-mult: 1.0ms (37% of total)ival-sqrt: 1.0ms (37% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 4.9555898041355886e+42 | 2.9122319974279197e+44 |
| 5.0ms | 112× | 0 | valid |
Compiled 195 to 145 computations (25.6% saved)
ival-sub: 1.0ms (37.4% of total)ival-mult: 1.0ms (37.4% of total)ival-sqrt: 1.0ms (37.4% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.26730984428714766 | 3.8686677565166643 |
| 20.0ms | 96× | 0 | valid |
Compiled 73 to 66 computations (9.6% saved)
ival-sub: 16.0ms (87.7% of total)ival-mult: 1.0ms (5.5% of total)ival-sqrt: 1.0ms (5.5% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 0.26730984428714766 | 3.8686677565166643 |
| 4.0ms | 96× | 0 | valid |
Compiled 73 to 66 computations (9.6% saved)
ival-mult: 1.0ms (42.9% of total)ival-sqrt: 1.0ms (42.9% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 0.26730984428714766 | 3.8686677565166643 |
| 4.0ms | 96× | 0 | valid |
Compiled 61 to 60 computations (1.6% saved)
ival-mult: 1.0ms (43.8% of total)ival-sqrt: 1.0ms (43.8% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 26× | *-commutative_binary64 |
| 26× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 4× | neg-mul-1_binary64 |
| 4× | if-if-or-not_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 150 |
| 1 | 94 | 150 |
| 2 | 102 | 150 |
| 3 | 105 | 150 |
| 4 | 106 | 150 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(if (<=.f64 y #s(literal -5500000000000000565354898883870720 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 115000000000000000000 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(if (<=.f64 y #s(literal -14500000000000001041412916226638270121138716672 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) |
(if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) |
(-.f64 #s(literal 1 binary64) x) |
(if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) |
(if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) x)) |
(if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(if (<=.f64 y #s(literal -5500000000000000565354898883870720 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 115000000000000000000 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(if (<=.f64 y #s(literal -5500000000000000565354898883870720 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 115000000000000000000 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))) |
(if (<=.f64 y #s(literal -14500000000000001041412916226638270121138716672 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) |
(if (<=.f64 y #s(literal -14500000000000001041412916226638270121138716672 binary64)) (*.f64 y (sqrt.f64 x)) (if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) |
(if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))))))) |
(if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) |
(-.f64 #s(literal 1 binary64) x) |
(if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) |
(if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) x)) |
(if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
| 12 810× | accelerator-lowering-fma.f32 |
| 12 810× | accelerator-lowering-fma.f64 |
| 7 542× | accelerator-lowering-fma.f32 |
| 7 542× | accelerator-lowering-fma.f64 |
| 7 050× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 369 |
| 1 | 141 | 369 |
| 2 | 438 | 357 |
| 3 | 1298 | 357 |
| 4 | 4657 | 357 |
| 5 | 7379 | 357 |
| 0 | 8084 | 330 |
| 0 | 7 | 17 |
| 1 | 42 | 17 |
| 2 | 353 | 17 |
| 3 | 5351 | 17 |
| 0 | 9013 | 16 |
| 0 | 197 | 1725 |
| 1 | 584 | 1579 |
| 2 | 1590 | 1496 |
| 3 | 5795 | 1496 |
| 0 | 8485 | 1427 |
| 0 | 33 | 162 |
| 1 | 229 | 120 |
| 2 | 2210 | 117 |
| 0 | 8702 | 113 |
| 0 | 29 | 184 |
| 1 | 222 | 120 |
| 2 | 2073 | 118 |
| 0 | 8328 | 113 |
| 0 | 454 | 4838 |
| 1 | 1467 | 4475 |
| 2 | 5848 | 4376 |
| 0 | 8639 | 4147 |
| 0 | 31 | 158 |
| 1 | 217 | 105 |
| 2 | 1916 | 103 |
| 0 | 8194 | 99 |
| 0 | 418 | 4268 |
| 1 | 1351 | 4024 |
| 2 | 5407 | 3924 |
| 0 | 8761 | 3743 |
| 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 |
| 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 453 to 244 computations (46.1% saved)
Compiled 342 to 122 computations (64.3% saved)
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