bug333 (missed optimization)
Time bar (total: 11.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 100% | 50% | 0% | 50% | 0% | 0% | 0% | 1 |
Compiled 17 to 12 computations (29.4% saved)
| 638.0ms | 3 149× | 2 | valid |
| 627.0ms | 4 846× | 1 | valid |
| 19.0ms | 253× | 0 | valid |
| 1.0ms | 8× | 3 | valid |
ival-sqrt: 308.0ms (30.3% of total)ival-sub: 241.0ms (23.7% of total)adjust: 230.0ms (22.6% of total)ival-add: 112.0ms (11% of total)ival-<=: 80.0ms (7.9% of total)ival-and: 21.0ms (2.1% of total)exact: 17.0ms (1.7% of total)ival-assert: 7.0ms (0.7% of total)| 2× | egg-herbie |
| 92× | accelerator-lowering-fma.f32 |
| 92× | accelerator-lowering-fma.f64 |
| 64× | +-lowering-+.f64 |
| 64× | +-lowering-+.f32 |
| 58× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 28 |
| 1 | 31 | 27 |
| 2 | 61 | 27 |
| 3 | 109 | 27 |
| 4 | 168 | 27 |
| 5 | 245 | 27 |
| 6 | 272 | 27 |
| 7 | 280 | 27 |
| 0 | 7 | 9 |
| 1 | 14 | 9 |
| 2 | 21 | 9 |
| 3 | 32 | 9 |
| 4 | 46 | 9 |
| 5 | 69 | 9 |
| 6 | 109 | 9 |
| 7 | 144 | 9 |
| 8 | 192 | 9 |
| 9 | 207 | 9 |
| 10 | 215 | 9 |
| 0 | 215 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
| Outputs |
|---|
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Inputs |
|---|
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
(- (sqrt (+ 1 (neg x))) (sqrt (- 1 (neg x)))) |
(neg (- (sqrt (+ 1 (neg x))) (sqrt (- 1 (neg x))))) |
| Outputs |
|---|
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
(- (sqrt (+ 1 (neg x))) (sqrt (- 1 (neg x)))) |
(- (sqrt (- 1 x)) (sqrt (+ 1 x))) |
(neg (- (sqrt (+ 1 (neg x))) (sqrt (- 1 (neg x))))) |
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 0 | - | 2 | (0.018760590777907638) | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) | cancellation | 253 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 253 | 2 |
| - | 0 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 253 | 2 | 0 |
| - | 0 | 0 | 1 |
| number | freq |
|---|---|
| 0 | 3 |
| 1 | 253 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 87.0ms | 214× | 2 | valid |
| 54.0ms | 286× | 1 | valid |
| 1.0ms | 12× | 0 | valid |
Compiled 74 to 32 computations (56.8% saved)
ival-sub: 34.0ms (48.5% of total)ival-sqrt: 17.0ms (24.2% of total)adjust: 12.0ms (17.1% of total)ival-add: 6.0ms (8.6% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.7% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 92× | accelerator-lowering-fma.f32 |
| 92× | accelerator-lowering-fma.f64 |
| 64× | +-lowering-+.f64 |
| 64× | +-lowering-+.f32 |
| 56× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 25 |
| 1 | 14 | 25 |
| 2 | 21 | 25 |
| 3 | 32 | 25 |
| 4 | 46 | 25 |
| 5 | 69 | 25 |
| 6 | 109 | 25 |
| 7 | 144 | 25 |
| 8 | 192 | 25 |
| 9 | 207 | 25 |
| 10 | 215 | 25 |
| 0 | 215 | 25 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
(sqrt (+ 1 x)) |
(+ 1 x) |
1 |
x |
(sqrt (- 1 x)) |
(- 1 x) |
| Outputs |
|---|
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt (+ 1 x)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(sqrt (- 1 x)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 7.8% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 18.0ms | 107× | 2 | valid |
| 16.0ms | 143× | 1 | valid |
| 0.0ms | 6× | 0 | valid |
Compiled 27 to 9 computations (66.7% saved)
ival-sqrt: 8.0ms (33.6% of total)adjust: 6.0ms (25.2% of total)ival-sub: 6.0ms (25.2% of total)ival-add: 3.0ms (12.6% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (sqrt (+ 1 x)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (+ 1 x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/8 (pow x 2)))) (taylor 0 x) (#s(alt (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (taylor 0 x) (#s(alt (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) (taylor 0 x) (#s(alt (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (taylor inf x) (#s(alt (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (taylor inf x) (#s(alt (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) (taylor inf x) (#s(alt (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) (taylor inf x) (#s(alt (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))) (taylor -inf x) (#s(alt (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) (taylor -inf x) (#s(alt (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) (taylor -inf x) (#s(alt (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) (taylor -inf x) (#s(alt (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (sqrt (+ 1 x)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (sqrt (+ 1 x)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* -1/8 x)))) (taylor 0 x) (#s(alt (sqrt (+ 1 x)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (taylor 0 x) (#s(alt (sqrt (+ 1 x)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt (+ 1 x)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt (sqrt (+ 1 x)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (taylor inf x) (#s(alt (sqrt (+ 1 x)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) (taylor inf x) (#s(alt (sqrt (+ 1 x)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt (+ 1 x)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (sqrt (+ 1 x)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (sqrt (+ 1 x)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (sqrt (+ 1 x)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+ 1 x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+ 1 x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+ 1 x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+ 1 x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+ 1 x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+ 1 x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+ 1 x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+ 1 x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+ 1 x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+ 1 x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+ 1 x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+ 1 x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 x)) (taylor 0 x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -1/8 x) 1/2))) (taylor 0 x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) (taylor 0 x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (sqrt -1)) (taylor inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) (taylor inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (taylor inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) (taylor inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (sqrt -1))) (taylor -inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) (taylor -inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) (taylor -inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) (taylor -inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 475.0ms | x | @ | inf | (- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
| 1.0ms | x | @ | -inf | (- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
| 0.0ms | x | @ | 0 | (- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
| 0.0ms | x | @ | -inf | (sqrt (+ 1 x)) |
| 0.0ms | x | @ | -inf | (sqrt (- 1 x)) |
| 1× | batch-egg-rewrite |
| 3 412× | accelerator-lowering-fma.f32 |
| 3 412× | accelerator-lowering-fma.f64 |
| 2 124× | *-lowering-*.f32 |
| 2 124× | *-lowering-*.f64 |
| 1 648× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 46 | 20 |
| 2 | 363 | 20 |
| 3 | 5659 | 20 |
| 0 | 9317 | 20 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
(sqrt (+ 1 x)) |
(+ 1 x) |
(sqrt (- 1 x)) |
| Outputs |
|---|
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
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(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (sqrt.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
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(+.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
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(exp.f64 (log1p.f64 x)) |
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(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
(fabs.f64 (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (*.f64 x x) (/.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x 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) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
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(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
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(fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x x))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x x) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))) |
(neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
| 1× | egg-herbie |
| 21 484× | accelerator-lowering-fma.f32 |
| 21 484× | accelerator-lowering-fma.f64 |
| 4 942× | +-lowering-+.f64 |
| 4 942× | +-lowering-+.f32 |
| 4 596× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 971 |
| 1 | 493 | 856 |
| 2 | 1729 | 798 |
| 3 | 7219 | 798 |
| 0 | 8083 | 746 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) |
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 x (*.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 x (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 x (+.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 x (+.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 x (neg.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (-.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (-.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(neg.f64 (*.f64 x (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (sqrt x) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(neg.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(neg.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) |
Compiled 9 843 to 1 183 computations (88% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 374 | 5 | 379 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 374 | 6 | 380 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) |
| ▶ | 99.6% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) x) |
| ▶ | 99.3% | (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
| ▶ | 7.7% | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 7.7% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 99.0% | x |
Compiled 132 to 77 computations (41.7% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 384 | (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) |
| 19 350× | accelerator-lowering-fma.f32 |
| 19 350× | accelerator-lowering-fma.f64 |
| 3 622× | *-lowering-*.f32 |
| 3 622× | *-lowering-*.f64 |
| 2 144× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 199 |
| 1 | 92 | 199 |
| 2 | 233 | 187 |
| 3 | 522 | 165 |
| 4 | 1080 | 165 |
| 5 | 2256 | 165 |
| 6 | 5114 | 165 |
| 0 | 8157 | 150 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x x) (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8))) x) |
(* x x) |
x |
(* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8)) |
(+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8) |
(* x (+ (* (* x x) 33/1024) 7/128)) |
(+ (* (* x x) 33/1024) 7/128) |
33/1024 |
7/128 |
1/8 |
x |
(+ (* x (* x (* x 1/8))) x) |
x |
(* x (* x 1/8)) |
(* x 1/8) |
1/8 |
(+ (* (* x x) (* x (+ (* x (* x 7/128)) 1/8))) x) |
(* x x) |
x |
(* x (+ (* x (* x 7/128)) 1/8)) |
(+ (* x (* x 7/128)) 1/8) |
(* x 7/128) |
7/128 |
1/8 |
(- (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (sqrt (- 1 x))) |
(sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) |
(/ 1 (/ (+ x -1) (+ (* x x) -1))) |
1 |
(/ (+ x -1) (+ (* x x) -1)) |
(+ x -1) |
x |
-1 |
(+ (* x x) -1) |
(sqrt (- 1 x)) |
(- 1 x) |
| Outputs |
|---|
(+ (* (* x x) (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8))) x) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x x) |
(*.f64 x x) |
x |
(* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) |
(+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))) #s(literal 1/8 binary64)) |
(* x (+ (* (* x x) 33/1024) 7/128)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))) |
(+ (* (* x x) 33/1024) 7/128) |
(fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) |
33/1024 |
#s(literal 33/1024 binary64) |
7/128 |
#s(literal 7/128 binary64) |
1/8 |
#s(literal 1/8 binary64) |
x |
(+ (* x (* x (* x 1/8))) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)) x) |
x |
(* x (* x 1/8)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* x 1/8) |
(*.f64 x #s(literal 1/8 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
(+ (* (* x x) (* x (+ (* x (* x 7/128)) 1/8))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) x) |
(* x x) |
(*.f64 x x) |
x |
(* x (+ (* x (* x 7/128)) 1/8)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) |
(+ (* x (* x 7/128)) 1/8) |
(fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) |
(* x 7/128) |
(*.f64 x #s(literal 7/128 binary64)) |
7/128 |
#s(literal 7/128 binary64) |
1/8 |
#s(literal 1/8 binary64) |
(- (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (sqrt (- 1 x))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(/ 1 (/ (+ x -1) (+ (* x x) -1))) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (+ x -1) (+ (* x x) -1)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
x |
-1 |
#s(literal -1 binary64) |
(+ (* x x) -1) |
(fma.f64 x x #s(literal -1 binary64)) |
(sqrt (- 1 x)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
| ✓ | accuracy | 8.1% | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 7/128 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/8 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) |
| 60.0ms | 111× | 2 | valid |
| 55.0ms | 131× | 1 | valid |
| 3.0ms | 4× | 4 | valid |
| 2.0ms | 3× | 3 | valid |
| 2.0ms | 2× | 5 | exit |
| 1.0ms | 5× | 0 | valid |
Compiled 182 to 35 computations (80.8% saved)
ival-mult: 23.0ms (24.6% of total)adjust: 22.0ms (23.6% of total)ival-add: 18.0ms (19.3% of total)ival-div: 13.0ms (13.9% of total)ival-sqrt: 10.0ms (10.7% of total)ival-sub: 5.0ms (5.4% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+ (* (* x x) (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) #<representation binary64>) () ()) |
#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8)) (patch (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) #<representation binary64>) () ()) |
#s(alt (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (+ (* x (* x (* x 1/8))) x) (patch (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) #<representation binary64>) () ()) |
#s(alt (* x (* x 1/8)) (patch (*.f64 x (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ()) |
#s(alt (* x 1/8) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (+ (* (* x x) (* x (+ (* x (* x 7/128)) 1/8))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) x) #<representation binary64>) () ()) |
#s(alt (* x (+ (* x (* x 7/128)) 1/8)) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) #<representation binary64>) () ()) |
#s(alt (+ (* x (* x 7/128)) 1/8) (patch (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (/ 1 (/ (+ x -1) (+ (* x x) -1))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/ (+ x -1) (+ (* x x) -1)) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (- (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (* x (+ (* (* x x) 33/1024) 7/128)) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #<representation binary64>) () ()) |
#s(alt (* x 7/128) (patch (*.f64 x #s(literal 7/128 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (+ (* (* x x) (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/8 (pow x 2)))) (taylor 0 x) (#s(alt (+ (* (* x x) (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (taylor 0 x) (#s(alt (+ (* (* x x) (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) (taylor 0 x) (#s(alt (+ (* (* x x) (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 33/1024 (pow x 7)) (taylor inf x) (#s(alt (+ (* (* x x) (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+ (* (* x x) (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (+ (* (* x x) (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) #<representation binary64>) () ())) ()) |
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#s(alt 1 (taylor 0 x) (#s(alt (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* -1/8 x)))) (taylor 0 x) (#s(alt (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (taylor 0 x) (#s(alt (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (taylor inf x) (#s(alt (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) (taylor inf x) (#s(alt (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 7/128 x) (taylor 0 x) (#s(alt (* x (+ (* (* x x) 33/1024) 7/128)) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 7/128 (* 33/1024 (pow x 2)))) (taylor 0 x) (#s(alt (* x (+ (* (* x x) 33/1024) 7/128)) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 7/128 (* 33/1024 (pow x 2)))) (taylor 0 x) (#s(alt (* x (+ (* (* x x) 33/1024) 7/128)) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 7/128 (* 33/1024 (pow x 2)))) (taylor 0 x) (#s(alt (* x (+ (* (* x x) 33/1024) 7/128)) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 33/1024 (pow x 3)) (taylor inf x) (#s(alt (* x (+ (* (* x x) 33/1024) 7/128)) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (* x (+ (* (* x x) 33/1024) 7/128)) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (* x (+ (* (* x x) 33/1024) 7/128)) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (* x (+ (* (* x x) 33/1024) 7/128)) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 33/1024 (pow x 3)) (taylor -inf x) (#s(alt (* x (+ (* (* x x) 33/1024) 7/128)) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (* x (+ (* (* x x) 33/1024) 7/128)) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (* x (+ (* (* x x) 33/1024) 7/128)) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (* x (+ (* (* x x) 33/1024) 7/128)) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 7/128 x) (taylor 0 x) (#s(alt (* x 7/128) (patch (*.f64 x #s(literal 7/128 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 7/128 x) (taylor 0 x) (#s(alt (* x 7/128) (patch (*.f64 x #s(literal 7/128 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 7/128 x) (taylor 0 x) (#s(alt (* x 7/128) (patch (*.f64 x #s(literal 7/128 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 7/128 x) (taylor 0 x) (#s(alt (* x 7/128) (patch (*.f64 x #s(literal 7/128 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 7/128 x) (taylor inf x) (#s(alt (* x 7/128) (patch (*.f64 x #s(literal 7/128 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 7/128 x) (taylor inf x) (#s(alt (* x 7/128) (patch (*.f64 x #s(literal 7/128 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 7/128 x) (taylor inf x) (#s(alt (* x 7/128) (patch (*.f64 x #s(literal 7/128 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 7/128 x) (taylor inf x) (#s(alt (* x 7/128) (patch (*.f64 x #s(literal 7/128 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 7/128 x) (taylor -inf x) (#s(alt (* x 7/128) (patch (*.f64 x #s(literal 7/128 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 7/128 x) (taylor -inf x) (#s(alt (* x 7/128) (patch (*.f64 x #s(literal 7/128 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 7/128 x) (taylor -inf x) (#s(alt (* x 7/128) (patch (*.f64 x #s(literal 7/128 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 7/128 x) (taylor -inf x) (#s(alt (* x 7/128) (patch (*.f64 x #s(literal 7/128 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 x)) (taylor 0 x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -1/8 x) 1/2))) (taylor 0 x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) (taylor 0 x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (sqrt -1)) (taylor inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) (taylor inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (taylor inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) (taylor inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (sqrt -1))) (taylor -inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) (taylor -inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) (taylor -inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) (taylor -inf x) (#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (- (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (sqrt (- 1 x))) |
| 1.0ms | x | @ | -inf | (+ (* (* x x) (* x (+ (* x (* x 7/128)) 1/8))) x) |
| 1.0ms | x | @ | 0 | (+ (* (* x x) (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8))) x) |
| 0.0ms | x | @ | -inf | (+ (* (* x x) (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8))) x) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8))) x) |
| 1× | batch-egg-rewrite |
| 6 484× | accelerator-lowering-fma.f32 |
| 6 484× | accelerator-lowering-fma.f64 |
| 5 042× | *-lowering-*.f32 |
| 5 042× | *-lowering-*.f64 |
| 4 442× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 165 |
| 1 | 226 | 131 |
| 2 | 1836 | 131 |
| 0 | 9305 | 117 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x x) (* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8))) x) |
(* x x) |
(* x (+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8)) |
(+ (* x (* x (+ (* (* x x) 33/1024) 7/128))) 1/8) |
(+ (* x (* x (* x 1/8))) x) |
(* x (* x 1/8)) |
(* x 1/8) |
(+ (* (* x x) (* x (+ (* x (* x 7/128)) 1/8))) x) |
(* x (+ (* x (* x 7/128)) 1/8)) |
(+ (* x (* x 7/128)) 1/8) |
(/ 1 (/ (+ x -1) (+ (* x x) -1))) |
(/ (+ x -1) (+ (* x x) -1)) |
(- (sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) (sqrt (- 1 x))) |
(sqrt (/ 1 (/ (+ x -1) (+ (* x x) -1)))) |
(* x (+ (* (* x x) 33/1024) 7/128)) |
(* x 7/128) |
(sqrt (- 1 x)) |
| Outputs |
|---|
(+.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x x))) x) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x x)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x x)))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x x)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)))) x) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) x) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) (*.f64 x x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) x) |
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(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (*.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
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(pow.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))))) |
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(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
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(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
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(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (neg.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 7/128 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 7/128 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x #s(literal 7/128 binary64))) (-.f64 (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 7/128 binary64))))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 x #s(literal 7/128 binary64))) |
(fma.f64 x #s(literal 7/128 binary64) (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 33/1024 binary64)) (*.f64 x #s(literal 7/128 binary64))) |
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 7/128 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) x (*.f64 x #s(literal 7/128 binary64))) |
(fma.f64 #s(literal 7/128 binary64) x (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 33/1024 binary64) (*.f64 x #s(literal 7/128 binary64))) |
(fma.f64 (*.f64 x #s(literal 33/1024 binary64)) (*.f64 x x) (*.f64 x #s(literal 7/128 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 35937/1073741824 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/2097152 binary64))) (fma.f64 (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x #s(literal 7/128 binary64))) (*.f64 (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 7/128 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x #s(literal 7/128 binary64)))) (-.f64 (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 7/128 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 35937/1073741824 binary64)) #s(literal 343/2097152 binary64))) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1089/1048576 binary64) #s(literal 49/16384 binary64)) (*.f64 (*.f64 x x) #s(literal 231/131072 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1089/1048576 binary64) #s(literal -49/16384 binary64))) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal -7/128 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 35937/1073741824 binary64)) #s(literal 343/2097152 binary64)) x) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1089/1048576 binary64) #s(literal 49/16384 binary64)) (*.f64 (*.f64 x x) #s(literal 231/131072 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1089/1048576 binary64) #s(literal -49/16384 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal -7/128 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 35937/1073741824 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/2097152 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x #s(literal 7/128 binary64))) (*.f64 (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 7/128 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x #s(literal 7/128 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 7/128 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 35937/1073741824 binary64)) #s(literal 343/2097152 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1089/1048576 binary64) #s(literal 49/16384 binary64)) (*.f64 (*.f64 x x) #s(literal 231/131072 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1089/1048576 binary64) #s(literal -49/16384 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal -7/128 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 35937/1073741824 binary64)) #s(literal 343/2097152 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1089/1048576 binary64) #s(literal 49/16384 binary64)) (*.f64 (*.f64 x x) #s(literal 231/131072 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1089/1048576 binary64) #s(literal -49/16384 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal -7/128 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/2097152 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 35937/1073741824 binary64))))) (fma.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x #s(literal 7/128 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) x) |
(*.f64 x #s(literal 7/128 binary64)) |
(*.f64 #s(literal 7/128 binary64) x) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 x)))) |
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
| 1× | egg-herbie |
| 16 960× | accelerator-lowering-fma.f32 |
| 16 960× | accelerator-lowering-fma.f64 |
| 4 822× | +-lowering-+.f64 |
| 4 822× | +-lowering-+.f32 |
| 3 682× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 2205 |
| 1 | 803 | 2023 |
| 2 | 2609 | 1956 |
| 0 | 8196 | 1845 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(* 33/1024 (pow x 7)) |
(* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 33/1024 (pow x 7)) |
(* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 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) |
(pow x 2) |
(* 1/8 x) |
(* x (+ 1/8 (* 7/128 (pow x 2)))) |
(* x (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))) |
(* x (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))) |
(* 33/1024 (pow x 5)) |
(* (pow x 5) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* 33/1024 (pow x 5)) |
(* (pow x 5) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))) |
1/8 |
(+ 1/8 (* 7/128 (pow x 2))) |
(+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))) |
(+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))) |
(* 33/1024 (pow x 4)) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* 33/1024 (pow x 4)) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* 1/8 (pow x 3)) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(* 1/8 (pow x 3)) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* 7/128 (pow x 5)) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 7/128 (pow x 5)) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128))) |
(* 1/8 x) |
(* x (+ 1/8 (* 7/128 (pow x 2)))) |
(* x (+ 1/8 (* 7/128 (pow x 2)))) |
(* x (+ 1/8 (* 7/128 (pow x 2)))) |
(* 7/128 (pow x 3)) |
(* (pow x 3) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* 7/128 (pow x 3)) |
(* (pow x 3) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
1/8 |
(+ 1/8 (* 7/128 (pow x 2))) |
(+ 1/8 (* 7/128 (pow x 2))) |
(+ 1/8 (* 7/128 (pow x 2))) |
(* 7/128 (pow x 2)) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* 7/128 (pow x 2)) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 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 |
(+ 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)) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* 7/128 x) |
(* x (+ 7/128 (* 33/1024 (pow x 2)))) |
(* x (+ 7/128 (* 33/1024 (pow x 2)))) |
(* x (+ 7/128 (* 33/1024 (pow x 2)))) |
(* 33/1024 (pow x 3)) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* 33/1024 (pow x 3)) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 33/1024 (pow x 7)) |
(*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 33/1024 (pow x 7)) |
(*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -7/128 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -33/1024 binary64)) (neg.f64 (pow.f64 x #s(literal 7 binary64)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.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 2) |
(*.f64 x x) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (+ 1/8 (* 7/128 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) |
(* x (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) |
(* x (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) |
(* 33/1024 (pow x 5)) |
(*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(* 33/1024 (pow x 5)) |
(*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))) |
(neg.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -7/128 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -33/1024 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))) |
(neg.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -7/128 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -33/1024 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* 7/128 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) |
(+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) |
(+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) |
(* 33/1024 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* 33/1024 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
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(*.f64 x #s(literal 7/128 binary64)) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (sqrt x) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 x (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
Compiled 23 350 to 2 715 computations (88.4% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 890 | 3 | 893 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 891 | 8 | 899 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.8% | (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | 99.7% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) |
| ✓ | 99.6% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) x) |
| ✓ | 99.3% | (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
| ▶ | 7.8% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
| ▶ | 7.7% | (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 7.7% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 99.0% | x |
Compiled 132 to 68 computations (48.5% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 2880 | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 1216 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
| 6 564× | accelerator-lowering-fma.f32 |
| 6 564× | accelerator-lowering-fma.f64 |
| 5 228× | *-lowering-*.f32 |
| 5 228× | *-lowering-*.f64 |
| 2 474× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 265 |
| 1 | 78 | 265 |
| 2 | 164 | 253 |
| 3 | 414 | 251 |
| 4 | 867 | 251 |
| 5 | 2051 | 251 |
| 6 | 4046 | 227 |
| 7 | 7185 | 227 |
| 0 | 8239 | 218 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) |
(sqrt (/ (- 1 (* x x)) (- 1 x))) |
(/ (- 1 (* x x)) (- 1 x)) |
(- 1 (* x x)) |
1 |
(* x x) |
x |
(- 1 x) |
(sqrt (- 1 x)) |
(/ (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1)))) |
(- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) |
(* 1 (sqrt (+ (* x (+ x 1)) 1))) |
1 |
(sqrt (+ (* x (+ x 1)) 1)) |
(+ (* x (+ x 1)) 1) |
x |
(+ x 1) |
(* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x))))) |
(sqrt (/ 1 (+ x 1))) |
(/ 1 (+ x 1)) |
(sqrt (- 1 (* x (* x x)))) |
(- 1 (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1))) |
(+ (* (pow (- 1 x) -1/2) (pow (/ 1 (- 1 (* x x))) -1/2)) (neg (sqrt (- 1 x)))) |
(pow (- 1 x) -1/2) |
(- 1 x) |
1 |
x |
-1/2 |
(pow (/ 1 (- 1 (* x x))) -1/2) |
(/ 1 (- 1 (* x x))) |
(- 1 (* x x)) |
(* x x) |
(neg (sqrt (- 1 x))) |
(sqrt (- 1 x)) |
| Outputs |
|---|
(- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt (/ (- 1 (* x x)) (- 1 x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(/ (- 1 (* x x)) (- 1 x)) |
(+.f64 #s(literal 1 binary64) x) |
(- 1 (* x x)) |
(fma.f64 x (neg.f64 x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* x x) |
(*.f64 x x) |
x |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(sqrt (- 1 x)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(/ (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1)))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(* 1 (sqrt (+ (* x (+ x 1)) 1))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
1 |
#s(literal 1 binary64) |
(sqrt (+ (* x (+ x 1)) 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(+ (* x (+ x 1)) 1) |
(+.f64 #s(literal 1 binary64) (fma.f64 x x x)) |
x |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
(* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(sqrt (/ 1 (+ x 1))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/ 1 (+ x 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(sqrt (- 1 (* x (* x x)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(- 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) |
(* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(+ (* (pow (- 1 x) -1/2) (pow (/ 1 (- 1 (* x x))) -1/2)) (neg (sqrt (- 1 x)))) |
(-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(pow (- 1 x) -1/2) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
-1/2 |
#s(literal -1/2 binary64) |
(pow (/ 1 (- 1 (* x x))) -1/2) |
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(/ 1 (- 1 (* x x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(- 1 (* x x)) |
(fma.f64 x (neg.f64 x) #s(literal 1 binary64)) |
(* x x) |
(*.f64 x x) |
(neg (sqrt (- 1 x))) |
(neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt (- 1 x)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 7.8% | (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 7.8% | (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 7.8% | (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 264.0ms | 96× | 2 | valid |
| 126.0ms | 141× | 1 | valid |
| 48.0ms | 14× | 3 | valid |
| 1.0ms | 5× | 0 | valid |
Compiled 272 to 32 computations (88.2% saved)
ival-pow: 269.0ms (68.4% of total)adjust: 33.0ms (8.4% of total)ival-sqrt: 23.0ms (5.8% of total)ival-mult: 21.0ms (5.3% of total)ival-div: 20.0ms (5.1% of total)ival-sub: 14.0ms (3.6% of total)ival-add: 9.0ms (2.3% of total)ival-neg: 3.0ms (0.8% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/ (- 1 (* x x)) (- 1 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (sqrt (/ (- 1 (* x x)) (- 1 x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/ (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (* 1 (sqrt (+ (* x (+ x 1)) 1))) (patch (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) (patch (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ()) |
#s(alt (sqrt (+ (* x (+ x 1)) 1)) (patch (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/ 1 (- 1 (* x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (+ (* (pow (- 1 x) -1/2) (pow (/ 1 (- 1 (* x x))) -1/2)) (neg (sqrt (- 1 x)))) (patch (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (pow (- 1 x) -1/2) (patch (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/ 1 (+ x 1)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (/ (- 1 (* x x)) (- 1 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (/ (- 1 (* x x)) (- 1 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (/ (- 1 (* x x)) (- 1 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (/ (- 1 (* x x)) (- 1 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (/ (- 1 (* x x)) (- 1 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (/ (- 1 (* x x)) (- 1 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (/ (- 1 (* x x)) (- 1 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (/ (- 1 (* x x)) (- 1 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (/ (- 1 (* x x)) (- 1 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (/ (- 1 (* x x)) (- 1 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (/ (- 1 (* x x)) (- 1 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (/ (- 1 (* x x)) (- 1 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/8 (pow x 2)))) (taylor 0 x) (#s(alt (- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (taylor 0 x) (#s(alt (- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) (taylor 0 x) (#s(alt (- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (taylor inf x) (#s(alt (- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (taylor inf x) (#s(alt (- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) (taylor inf x) (#s(alt (- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) (taylor inf x) (#s(alt (- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))) (taylor -inf x) (#s(alt (- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) (taylor -inf x) (#s(alt (- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) (taylor -inf x) (#s(alt (- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) (taylor -inf x) (#s(alt (- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) (patch (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (sqrt (/ (- 1 (* x x)) (- 1 x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (sqrt (/ (- 1 (* x x)) (- 1 x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* -1/8 x)))) (taylor 0 x) (#s(alt (sqrt (/ (- 1 (* x x)) (- 1 x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (taylor 0 x) (#s(alt (sqrt (/ (- 1 (* x x)) (- 1 x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt (/ (- 1 (* x x)) (- 1 x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt (sqrt (/ (- 1 (* x x)) (- 1 x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (taylor inf x) (#s(alt (sqrt (/ (- 1 (* x x)) (- 1 x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) (taylor inf x) (#s(alt (sqrt (/ (- 1 (* x x)) (- 1 x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt (/ (- 1 (* x x)) (- 1 x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (sqrt (/ (- 1 (* x x)) (- 1 x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (sqrt (/ (- 1 (* x x)) (- 1 x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (sqrt (/ (- 1 (* x x)) (- 1 x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (/ (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/8 (pow x 2)))) (taylor 0 x) (#s(alt (/ (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (taylor 0 x) (#s(alt (/ (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) (taylor 0 x) (#s(alt (/ (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (- 1 (sqrt -1))) (taylor inf x) (#s(alt (/ (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* (sqrt (/ 1 x)) (- 1 (sqrt -1))) (* (sqrt (/ 1 (pow x 3))) (- 1/2 (* 1/2 (/ 1 (sqrt -1))))))) (taylor inf x) (#s(alt (/ (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (taylor 0 x) (#s(alt (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* x (- (* 3/8 x) 1/2))))) (taylor 0 x) (#s(alt (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) (taylor inf x) (#s(alt (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 9)))))))) (taylor inf x) (#s(alt (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt x))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1)))) |
| 1.0ms | x | @ | inf | (/ (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1)))) |
| 1.0ms | x | @ | 0 | (/ (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1)))) |
| 1.0ms | x | @ | inf | (pow (- 1 x) -1/2) |
| 0.0ms | x | @ | inf | (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) |
| 1× | batch-egg-rewrite |
| 5 860× | *-lowering-*.f32 |
| 5 860× | *-lowering-*.f64 |
| 5 688× | accelerator-lowering-fma.f32 |
| 5 688× | accelerator-lowering-fma.f64 |
| 3 046× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 147 |
| 1 | 214 | 114 |
| 2 | 1901 | 113 |
| 0 | 9083 | 105 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 (* x x)) (- 1 x)) |
(- (sqrt (/ (- 1 (* x x)) (- 1 x))) (sqrt (- 1 x))) |
(sqrt (/ (- 1 (* x x)) (- 1 x))) |
(- 1 (* x x)) |
(/ (- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1)))) |
(* 1 (sqrt (+ (* x (+ x 1)) 1))) |
(- (* 1 (sqrt (+ (* x (+ x 1)) 1))) (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 (* x (* x x)))))) |
(sqrt (+ (* x (+ x 1)) 1)) |
(/ 1 (- 1 (* x x))) |
(+ (* (pow (- 1 x) -1/2) (pow (/ 1 (- 1 (* x x))) -1/2)) (neg (sqrt (- 1 x)))) |
(pow (- 1 x) -1/2) |
(- 1 x) |
(sqrt (- 1 x)) |
(* x (* x x)) |
(/ 1 (+ x 1)) |
(* (sqrt (/ 1 (+ x 1))) (sqrt (+ (* x (+ x 1)) 1))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(exp.f64 (log1p.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64))) |
(fabs.f64 (+.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) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 x #s(literal 1 binary64) #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) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 x x x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.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) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) 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 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.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 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) 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))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 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)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x 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) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
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(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 x x x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 x x x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (+.f64 x #s(literal -1 binary64))))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) |
(exp.f64 (neg.f64 (log1p.f64 x))) |
(exp.f64 (fma.f64 (neg.f64 (log1p.f64 x)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log1p.f64 x)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -2 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.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 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.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 #s(literal 1 binary64) x))) |
(*.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) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) |
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 x x x)) (*.f64 (neg.f64 (log1p.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (neg.f64 (log1p.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 x x x))))) |
(exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 x x x))) (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))) |
(sqrt.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 x x x))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 x x x))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (fma.f64 x x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 x x x)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(pow.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 11 722× | accelerator-lowering-fma.f32 |
| 11 722× | accelerator-lowering-fma.f64 |
| 5 354× | *-lowering-*.f32 |
| 5 354× | *-lowering-*.f64 |
| 5 240× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 467 | 3249 |
| 1 | 1482 | 2752 |
| 2 | 5050 | 2628 |
| 0 | 8900 | 2492 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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))) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
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)) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(* (sqrt x) (- 1 (sqrt -1))) |
(* x (+ (* (sqrt (/ 1 x)) (- 1 (sqrt -1))) (* (sqrt (/ 1 (pow x 3))) (- 1/2 (* 1/2 (/ 1 (sqrt -1))))))) |
(* x (+ (* (sqrt (/ 1 x)) (- 1 (sqrt -1))) (+ (* (sqrt (/ 1 (pow x 3))) (- 1/2 (* 1/2 (/ 1 (sqrt -1))))) (* (sqrt (/ 1 (pow x 5))) (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))))))) |
(* x (+ (* -1 (* (sqrt (/ 1 (pow x 7))) (+ 3/16 (* 1/2 (/ (- 2 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (- 1 (sqrt -1)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt -1))) (+ (* (sqrt (/ 1 (pow x 3))) (- 1/2 (* 1/2 (/ 1 (sqrt -1))))) (* (sqrt (/ 1 (pow x 5))) (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))))))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 (sqrt -1))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (- (* 1/2 (/ 1 (sqrt -1))) 1/2)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (sqrt -1))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/2 (/ 1 (sqrt -1))) 1/2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (sqrt -1))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (- 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3/16 (* -1/2 (/ (+ 2 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))))))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/2 (/ 1 (sqrt -1))) 1/2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (sqrt -1))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 3/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 3/8 (* -3/16 x)))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 x)))) |
(* x (+ 1 (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x))))) |
(* x (- (+ 1 (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x)))) (* 3/16 (/ 1 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x)))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 3/8 (* 3/16 (/ 1 x))) x)) 1/2) x))))) |
x |
(* x (+ 1 (* 5/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 5/8 (* -1/2 x))))) |
(* x (+ 1 (* (pow x 2) (+ 5/8 (* x (- (* 63/128 x) 1/2)))))) |
(* x (- 1 (sqrt -1))) |
(* x (- (+ 1 (* 1/2 (/ 1 x))) (+ (sqrt -1) (/ 1/2 (* x (sqrt -1)))))) |
(* x (- (+ 1 (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x)))) (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 2) (sqrt -1)))) (/ 1/2 (* x (sqrt -1))))))) |
(* x (- (+ 1 (+ (* -1 (/ (+ 3/16 (* 1/2 (/ (- 2 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1)))) (pow x 3))) (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x))))) (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 2) (sqrt -1)))) (/ 1/2 (* x (sqrt -1))))))) |
(* -1 (* x (- 1 (sqrt -1)))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) 1/2) x))) (sqrt -1)))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) x)) (* 1/2 (/ 1 (sqrt -1)))) 1/2) x))) (sqrt -1)))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ 3/8 (* -1 (/ (- 3/16 (* -1/2 (/ (+ 2 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1)))) x))) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) x)) (* 1/2 (/ 1 (sqrt -1)))) 1/2) x))) (sqrt -1)))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 3/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 3/8 (* -3/16 x)))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 x)))) |
(* x (+ 1 (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x))))) |
(* x (- (+ 1 (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x)))) (* 3/16 (/ 1 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x)))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 3/8 (* 3/16 (/ 1 x))) x)) 1/2) x))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (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 (pow x 2))) (pow x 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 (pow x 2)) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 3/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 3/8 (* 5/16 x)))))) |
(* (sqrt (/ 1 x)) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ 1 (* 1/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* (sqrt (/ 1 x)) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ 1 (* -1/4 x)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -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 (* -1/2 x)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(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 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/2 x)))) |
(+ 1 (* (pow x 2) (+ 1/2 (* x (- (* 3/8 x) 1/2))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 9)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt x))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))) #s(literal 1/8 binary64)) x) x) |
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 x (+.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))))))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(neg.f64 (*.f64 x (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
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(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))) #s(literal 1/8 binary64)) x) x) |
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
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(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
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(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
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(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 3/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 3/8 (* 5/16 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/16 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (sqrt (/ 1 x)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
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(* (sqrt (/ 1 x)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) |
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(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
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(* (sqrt x) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
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(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
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(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
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(pow x 3) |
(*.f64 x (*.f64 x x)) |
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(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))) |
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
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(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) 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) |
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(/.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)) (neg.f64 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)) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/2 x)))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* x (- (* 3/8 x) 1/2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
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(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 9)))))))) |
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(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
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(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt x))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) x)) (*.f64 x (*.f64 x x)))))) |
Compiled 49 029 to 3 718 computations (92.4% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 523 | 5 | 1 528 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 5 | 5 |
| Total | 1 525 | 11 | 1 536 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.8% | (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | 99.7% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) |
| ✓ | 99.6% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) x) |
| ✓ | 99.3% | (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
| ▶ | 7.8% | (/.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
| ▶ | 7.9% | (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
| ▶ | 7.8% | (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
| ✓ | 7.7% | (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 7.7% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 7.8% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | 99.0% | x |
Compiled 386 to 176 computations (54.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 640 | (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 128 | (neg.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 320 | (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 3072 | (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 512 | (/.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 1024 | (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 1792 | (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 128 | (neg.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 320 | (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 3072 | (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
| 9 976× | accelerator-lowering-fma.f32 |
| 9 976× | accelerator-lowering-fma.f64 |
| 3 756× | *-lowering-*.f32 |
| 3 756× | *-lowering-*.f64 |
| 2 152× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 475 |
| 1 | 128 | 446 |
| 2 | 295 | 445 |
| 3 | 681 | 427 |
| 4 | 1635 | 413 |
| 5 | 3965 | 413 |
| 6 | 7270 | 413 |
| 0 | 8075 | 401 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) |
(+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) |
(neg (- 1 x)) |
(- 1 x) |
1 |
x |
(sqrt (/ 1 (+ 1 x))) |
(/ 1 (+ 1 x)) |
(+ 1 x) |
(* (+ 0 (sqrt (- 1 x))) 1) |
(+ 0 (sqrt (- 1 x))) |
0 |
(sqrt (- 1 x)) |
(* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x)))) |
(* (- (sqrt (+ (* x x) (+ 1 x))) (sqrt (/ (- 1 (* x (* x x))) (+ 1 x)))) (sqrt (/ (+ 1 x) (+ (* x x) (+ 1 x))))) |
(- (sqrt (+ (* x x) (+ 1 x))) (sqrt (/ (- 1 (* x (* x x))) (+ 1 x)))) |
(sqrt (+ (* x x) (+ 1 x))) |
(+ (* x x) (+ 1 x)) |
x |
(+ 1 x) |
1 |
(sqrt (/ (- 1 (* x (* x x))) (+ 1 x))) |
(/ (- 1 (* x (* x x))) (+ 1 x)) |
(- 1 (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(sqrt (/ (+ 1 x) (+ (* x x) (+ 1 x)))) |
(/ (+ 1 x) (+ (* x x) (+ 1 x))) |
(/ (+ (* (sqrt (- 1 (* x x))) (+ 0 (sqrt (- 1 x)))) (* (sqrt (- 1 x)) (neg (- 1 x)))) (* (sqrt (- 1 x)) (+ 0 (sqrt (- 1 x))))) |
(+ (* (sqrt (- 1 (* x x))) (+ 0 (sqrt (- 1 x)))) (* (sqrt (- 1 x)) (neg (- 1 x)))) |
(sqrt (- 1 (* x x))) |
(- 1 (* x x)) |
1 |
(* x x) |
x |
(+ 0 (sqrt (- 1 x))) |
0 |
(sqrt (- 1 x)) |
(- 1 x) |
(* (sqrt (- 1 x)) (neg (- 1 x))) |
(neg (- 1 x)) |
(* (sqrt (- 1 x)) (+ 0 (sqrt (- 1 x)))) |
(/ (+ (* 1 (+ 0 (sqrt (- 1 x)))) (* (sqrt (/ 1 (+ 1 x))) (neg (- 1 x)))) (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x))))) |
(+ (* 1 (+ 0 (sqrt (- 1 x)))) (* (sqrt (/ 1 (+ 1 x))) (neg (- 1 x)))) |
1 |
(+ 0 (sqrt (- 1 x))) |
0 |
(sqrt (- 1 x)) |
(- 1 x) |
x |
(* (sqrt (/ 1 (+ 1 x))) (neg (- 1 x))) |
(sqrt (/ 1 (+ 1 x))) |
(/ 1 (+ 1 x)) |
(+ 1 x) |
(neg (- 1 x)) |
(* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) |
(+ (* (/ 1 (sqrt (- 1 x))) (pow (/ 1 (- 1 (* x x))) -1/2)) (neg (sqrt (- 1 x)))) |
(/ 1 (sqrt (- 1 x))) |
1 |
(sqrt (- 1 x)) |
(- 1 x) |
x |
(pow (/ 1 (- 1 (* x x))) -1/2) |
(/ 1 (- 1 (* x x))) |
(- 1 (* x x)) |
(* x x) |
-1/2 |
(neg (sqrt (- 1 x))) |
| Outputs |
|---|
(/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(neg (- 1 x)) |
(+.f64 x #s(literal -1 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(sqrt (/ 1 (+ 1 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/ 1 (+ 1 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(* (+ 0 (sqrt (- 1 x))) 1) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(+ 0 (sqrt (- 1 x))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
0 |
#s(literal 0 binary64) |
(sqrt (- 1 x)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(* (- (sqrt (+ (* x x) (+ 1 x))) (sqrt (/ (- 1 (* x (* x x))) (+ 1 x)))) (sqrt (/ (+ 1 x) (+ (* x x) (+ 1 x))))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(- (sqrt (+ (* x x) (+ 1 x))) (sqrt (/ (- 1 (* x (* x x))) (+ 1 x)))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(sqrt (+ (* x x) (+ 1 x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(+ (* x x) (+ 1 x)) |
(+.f64 #s(literal 1 binary64) (fma.f64 x x x)) |
x |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(sqrt (/ (- 1 (* x (* x x))) (+ 1 x))) |
(sqrt.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(/ (- 1 (* x (* x x))) (+ 1 x)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(- 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) |
(sqrt (/ (+ 1 x) (+ (* x x) (+ 1 x)))) |
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/ (+ 1 x) (+ (* x x) (+ 1 x))) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/ (+ (* (sqrt (- 1 (* x x))) (+ 0 (sqrt (- 1 x)))) (* (sqrt (- 1 x)) (neg (- 1 x)))) (* (sqrt (- 1 x)) (+ 0 (sqrt (- 1 x))))) |
(/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(+ (* (sqrt (- 1 (* x x))) (+ 0 (sqrt (- 1 x)))) (* (sqrt (- 1 x)) (neg (- 1 x)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(sqrt (- 1 (* x x))) |
(sqrt.f64 (-.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 |
(+ 0 (sqrt (- 1 x))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
0 |
#s(literal 0 binary64) |
(sqrt (- 1 x)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(* (sqrt (- 1 x)) (neg (- 1 x))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(neg (- 1 x)) |
(+.f64 x #s(literal -1 binary64)) |
(* (sqrt (- 1 x)) (+ 0 (sqrt (- 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(/ (+ (* 1 (+ 0 (sqrt (- 1 x)))) (* (sqrt (/ 1 (+ 1 x))) (neg (- 1 x)))) (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(+ (* 1 (+ 0 (sqrt (- 1 x)))) (* (sqrt (/ 1 (+ 1 x))) (neg (- 1 x)))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 0 (sqrt (- 1 x))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
0 |
#s(literal 0 binary64) |
(sqrt (- 1 x)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
x |
(* (sqrt (/ 1 (+ 1 x))) (neg (- 1 x))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(sqrt (/ 1 (+ 1 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/ 1 (+ 1 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(neg (- 1 x)) |
(+.f64 x #s(literal -1 binary64)) |
(* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(+ (* (/ 1 (sqrt (- 1 x))) (pow (/ 1 (- 1 (* x x))) -1/2)) (neg (sqrt (- 1 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/2 binary64)))) |
(/ 1 (sqrt (- 1 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(sqrt (- 1 x)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
x |
(pow (/ 1 (- 1 (* x x))) -1/2) |
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(/ 1 (- 1 (* x x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(- 1 (* x x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
-1/2 |
#s(literal -1/2 binary64) |
(neg (sqrt (- 1 x))) |
(neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 7.8% | (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 100.0% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 7.8% | (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 7.8% | (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 7.8% | (-.f64 (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 7.8% | (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
| 224.0ms | 96× | 2 | valid |
| 115.0ms | 142× | 1 | valid |
| 18.0ms | 11× | 3 | valid |
| 2.0ms | 1× | 4 | valid |
| 2.0ms | 6× | 0 | valid |
Compiled 524 to 47 computations (91% saved)
ival-pow: 154.0ms (49.4% of total)ival-mult: 38.0ms (12.2% of total)ival-div: 33.0ms (10.6% of total)adjust: 26.0ms (8.3% of total)ival-sqrt: 24.0ms (7.7% of total)ival-add: 18.0ms (5.8% of total)ival-sub: 11.0ms (3.5% of total)ival-neg: 5.0ms (1.6% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) (patch (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt (* (+ 0 (sqrt (- 1 x))) 1) (patch (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+ 0 (sqrt (- 1 x))) (patch (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (neg (- 1 x)) (patch (neg.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/ (- 1 (* x (* x x))) (+ 1 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (* (- (sqrt (+ (* x x) (+ 1 x))) (sqrt (/ (- 1 (* x (* x x))) (+ 1 x)))) (sqrt (/ (+ 1 x) (+ (* x x) (+ 1 x))))) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt (- (sqrt (+ (* x x) (+ 1 x))) (sqrt (/ (- 1 (* x (* x x))) (+ 1 x)))) (patch (-.f64 (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (sqrt (+ (* x x) (+ 1 x))) (patch (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (* (sqrt (- 1 x)) (+ 0 (sqrt (- 1 x)))) (patch (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (+ (* (sqrt (- 1 (* x x))) (+ 0 (sqrt (- 1 x)))) (* (sqrt (- 1 x)) (neg (- 1 x)))) (patch (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (/ (+ (* (sqrt (- 1 (* x x))) (+ 0 (sqrt (- 1 x)))) (* (sqrt (- 1 x)) (neg (- 1 x)))) (* (sqrt (- 1 x)) (+ 0 (sqrt (- 1 x))))) (patch (/.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt (/ (+ (* 1 (+ 0 (sqrt (- 1 x)))) (* (sqrt (/ 1 (+ 1 x))) (neg (- 1 x)))) (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x))))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt (+ (* 1 (+ 0 (sqrt (- 1 x)))) (* (sqrt (/ 1 (+ 1 x))) (neg (- 1 x)))) (patch (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (+ (* (/ 1 (sqrt (- 1 x))) (pow (/ 1 (- 1 (* x x))) -1/2)) (neg (sqrt (- 1 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (/ 1 (- 1 (* x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/ 1 (sqrt (- 1 x))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (sqrt (- 1 x)) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (patch (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/ 1 (+ 1 x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x)))) (patch (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/ (+ 1 x) (+ (* x x) (+ 1 x))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (sqrt (- 1 (* x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) (patch (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/8 (pow x 2)))) (taylor 0 x) (#s(alt (/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) (patch (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (taylor 0 x) (#s(alt (/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) (patch (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) (taylor 0 x) (#s(alt (/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) (patch (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (taylor inf x) (#s(alt (/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) (patch (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (sqrt -1)))) (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))) (taylor inf x) (#s(alt (/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) (patch (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (sqrt -1)))) (+ (* -1/2 (/ (* (+ 2 (/ 1 (pow (sqrt -1) 2))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (pow x 2) (sqrt -1)))) (+ (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1))) (/ (* (sqrt -1) (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2)))))))) (taylor inf x) (#s(alt (/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) (patch (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 3) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (pow x 3) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 2 (/ 1 (pow (sqrt -1) 2))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1)))) (+ (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* (sqrt (/ 1 (pow x 5))) (sqrt -1)) (+ (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1))) (/ (* (sqrt -1) (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2)))))))))))) (taylor inf x) (#s(alt (/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) (patch (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1)))))) (taylor -inf x) (#s(alt (/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) (patch (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) (taylor -inf x) (#s(alt (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x)))) (patch (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) (taylor -inf x) (#s(alt (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x)))) (patch (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/ (+ 1 x) (+ (* x x) (+ 1 x))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (/ (+ 1 x) (+ (* x x) (+ 1 x))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- x 1))) (taylor 0 x) (#s(alt (/ (+ 1 x) (+ (* x x) (+ 1 x))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* x (+ 1 (* -1 (pow x 2)))) 1))) (taylor 0 x) (#s(alt (/ (+ 1 x) (+ (* x x) (+ 1 x))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/ (+ 1 x) (+ (* x x) (+ 1 x))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ 1 (pow x 2))) x) (taylor inf x) (#s(alt (/ (+ 1 x) (+ (* x x) (+ 1 x))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x) (taylor inf x) (#s(alt (/ (+ 1 x) (+ (* x x) (+ 1 x))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 5)))) x) (taylor inf x) (#s(alt (/ (+ 1 x) (+ (* x x) (+ 1 x))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/ (+ 1 x) (+ (* x x) (+ 1 x))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ 1 (pow x 2)) 1) x)) (taylor -inf x) (#s(alt (/ (+ 1 x) (+ (* x x) (+ 1 x))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 3)))) x)) (taylor -inf x) (#s(alt (/ (+ 1 x) (+ (* x x) (+ 1 x))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ (* -1 (/ (- 1 (/ 1 (pow x 2))) (pow x 3))) (/ 1 (pow x 2))) 1) x)) (taylor -inf x) (#s(alt (/ (+ 1 x) (+ (* x x) (+ 1 x))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (sqrt (- 1 (* x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (sqrt (- 1 (* x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (sqrt (- 1 (* x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (taylor 0 x) (#s(alt (sqrt (- 1 (* x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sqrt -1)) (taylor inf x) (#s(alt (sqrt (- 1 (* x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (taylor inf x) (#s(alt (sqrt (- 1 (* x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))) (taylor inf x) (#s(alt (sqrt (- 1 (* x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) (taylor inf x) (#s(alt (sqrt (- 1 (* x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (sqrt -1))) (taylor -inf x) (#s(alt (sqrt (- 1 (* x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) (taylor -inf x) (#s(alt (sqrt (- 1 (* x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))) (taylor -inf x) (#s(alt (sqrt (- 1 (* x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) (taylor -inf x) (#s(alt (sqrt (- 1 (* x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) (taylor 0 x) (#s(alt (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt -1) (taylor inf x) (#s(alt (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (taylor inf x) (#s(alt (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) (taylor inf x) (#s(alt (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) (taylor inf x) (#s(alt (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt -1) (taylor -inf x) (#s(alt (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (taylor -inf x) (#s(alt (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) (taylor -inf x) (#s(alt (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) (taylor -inf x) (#s(alt (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (- 1 (* x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x)))) |
| 2.0ms | x | @ | inf | (/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) |
| 2.0ms | x | @ | -inf | (/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) |
| 1.0ms | x | @ | 0 | (/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) |
| 1.0ms | x | @ | -inf | (+ (* (sqrt (- 1 (* x x))) (+ 0 (sqrt (- 1 x)))) (* (sqrt (- 1 x)) (neg (- 1 x)))) |
| 1× | batch-egg-rewrite |
| 3 646× | /-lowering-/.f32 |
| 3 646× | /-lowering-/.f64 |
| 2 700× | accelerator-lowering-fma.f32 |
| 2 700× | accelerator-lowering-fma.f64 |
| 2 496× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 324 |
| 1 | 334 | 271 |
| 2 | 2913 | 247 |
| 0 | 9337 | 238 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) (* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x))))) |
(* (+ 0 (sqrt (- 1 x))) 1) |
(+ 0 (sqrt (- 1 x))) |
(neg (- 1 x)) |
(/ (- 1 (* x (* x x))) (+ 1 x)) |
(* (- (sqrt (+ (* x x) (+ 1 x))) (sqrt (/ (- 1 (* x (* x x))) (+ 1 x)))) (sqrt (/ (+ 1 x) (+ (* x x) (+ 1 x))))) |
(- (sqrt (+ (* x x) (+ 1 x))) (sqrt (/ (- 1 (* x (* x x))) (+ 1 x)))) |
(sqrt (+ (* x x) (+ 1 x))) |
(* (sqrt (- 1 x)) (+ 0 (sqrt (- 1 x)))) |
(+ (* (sqrt (- 1 (* x x))) (+ 0 (sqrt (- 1 x)))) (* (sqrt (- 1 x)) (neg (- 1 x)))) |
(/ (+ (* (sqrt (- 1 (* x x))) (+ 0 (sqrt (- 1 x)))) (* (sqrt (- 1 x)) (neg (- 1 x)))) (* (sqrt (- 1 x)) (+ 0 (sqrt (- 1 x))))) |
(/ (+ (* 1 (+ 0 (sqrt (- 1 x)))) (* (sqrt (/ 1 (+ 1 x))) (neg (- 1 x)))) (* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x))))) |
(+ (* 1 (+ 0 (sqrt (- 1 x)))) (* (sqrt (/ 1 (+ 1 x))) (neg (- 1 x)))) |
(+ (* (/ 1 (sqrt (- 1 x))) (pow (/ 1 (- 1 (* x x))) -1/2)) (neg (sqrt (- 1 x)))) |
(/ 1 (- 1 (* x x))) |
(/ 1 (sqrt (- 1 x))) |
(sqrt (- 1 x)) |
(+ (* (neg (- 1 x)) (sqrt (/ 1 (+ 1 x)))) (* (+ 0 (sqrt (- 1 x))) 1)) |
(/ 1 (+ 1 x)) |
(* (+ 0 (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x)))) |
(* x (* x x)) |
(/ (+ 1 x) (+ (* x x) (+ 1 x))) |
(sqrt (- 1 (* x x))) |
(* (sqrt (/ 1 (+ 1 x))) (+ 0 (sqrt (- 1 x)))) |
(- 1 (* x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
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(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
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(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
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(/.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))))) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))))) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 x x x)))) |
(hypot.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) x) |
(hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (fma.f64 x (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
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(/.f64 (+.f64 #s(literal -1 binary64) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) x)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) x))) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) x)))) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal -1 binary64) x))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))) |
(+.f64 (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) |
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) |
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) (*.f64 #s(literal -1/2 binary64) (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x))))))) |
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log1p.f64 (*.f64 x (neg.f64 x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x))))))) |
(exp.f64 (fma.f64 (log1p.f64 (*.f64 x (neg.f64 x))) #s(literal 1/2 binary64) (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(fma.f64 x (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) x #s(literal 1 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 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal -1/4 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
| 1× | egg-herbie |
| 14 488× | accelerator-lowering-fma.f32 |
| 14 488× | accelerator-lowering-fma.f64 |
| 6 292× | +-lowering-+.f64 |
| 6 292× | +-lowering-+.f32 |
| 6 048× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 801 | 6820 |
| 1 | 2691 | 5486 |
| 0 | 9205 | 5215 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(* x (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (sqrt -1)))) (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (sqrt -1)))) (+ (* -1/2 (/ (* (+ 2 (/ 1 (pow (sqrt -1) 2))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (pow x 2) (sqrt -1)))) (+ (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1))) (/ (* (sqrt -1) (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2)))))))) |
(* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 3) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (pow x 3) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 2 (/ 1 (pow (sqrt -1) 2))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1)))) (+ (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* (sqrt (/ 1 (pow x 5))) (sqrt -1)) (+ (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1))) (/ (* (sqrt -1) (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2)))))))))))) |
(* -1 (* x (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))))) x)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1/2 (/ (* (+ 2 (/ 1 (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1)))) (sqrt -1))) (* (sqrt -1) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))))) x))))) x)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (/ (+ (* 1/2 (sqrt x)) (+ (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (+ (* 1/2 (/ (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))) (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))) x)) (+ (* -1/2 (/ (* (+ 2 (/ 1 (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1)))) (sqrt -1))) (* (sqrt -1) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))))))) x))))) x)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -2 x))) 1))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (/ 1 x) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 1 (pow x 2))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 1) x)) 1) x)) 1)) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(* (sqrt x) (- 1 (sqrt -1))) |
(* x (+ (* (sqrt (/ 1 x)) (- 1 (sqrt -1))) (* (sqrt (/ 1 (pow x 3))) (- 1/2 (* 1/2 (/ 1 (sqrt -1))))))) |
(* x (+ (* (sqrt (/ 1 x)) (- 1 (sqrt -1))) (+ (* (sqrt (/ 1 (pow x 3))) (- 1/2 (* 1/2 (/ 1 (sqrt -1))))) (* (sqrt (/ 1 (pow x 5))) (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))))))) |
(* x (+ (* -1 (* (sqrt (/ 1 (pow x 7))) (+ 3/16 (* 1/2 (/ (- 2 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (- 1 (sqrt -1)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt -1))) (+ (* (sqrt (/ 1 (pow x 3))) (- 1/2 (* 1/2 (/ 1 (sqrt -1))))) (* (sqrt (/ 1 (pow x 5))) (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))))))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 (sqrt -1))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (- (* 1/2 (/ 1 (sqrt -1))) 1/2)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (sqrt -1))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/2 (/ 1 (sqrt -1))) 1/2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (sqrt -1))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (- 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3/16 (* -1/2 (/ (+ 2 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))))))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/2 (/ 1 (sqrt -1))) 1/2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (sqrt -1))))))) |
x |
(* x (+ 1 (* 5/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 5/8 (* -1/2 x))))) |
(* x (+ 1 (* (pow x 2) (+ 5/8 (* x (- (* 63/128 x) 1/2)))))) |
(* x (- 1 (sqrt -1))) |
(* x (- (+ 1 (* 1/2 (/ 1 x))) (+ (sqrt -1) (/ 1/2 (* x (sqrt -1)))))) |
(* x (- (+ 1 (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x)))) (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 2) (sqrt -1)))) (/ 1/2 (* x (sqrt -1))))))) |
(* x (- (+ 1 (+ (* -1 (/ (+ 3/16 (* 1/2 (/ (- 2 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1)))) (pow x 3))) (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x))))) (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 2) (sqrt -1)))) (/ 1/2 (* x (sqrt -1))))))) |
(* -1 (* x (- 1 (sqrt -1)))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) 1/2) x))) (sqrt -1)))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) x)) (* 1/2 (/ 1 (sqrt -1)))) 1/2) x))) (sqrt -1)))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ 3/8 (* -1 (/ (- 3/16 (* -1/2 (/ (+ 2 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1)))) x))) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) x)) (* 1/2 (/ 1 (sqrt -1)))) 1/2) x))) (sqrt -1)))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 3/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 3/8 (* -3/16 x)))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 x)))) |
(* x (+ 1 (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x))))) |
(* x (- (+ 1 (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x)))) (* 3/16 (/ 1 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x)))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 3/8 (* 3/16 (/ 1 x))) x)) 1/2) 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)))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- (* 1/8 x) 1)))) |
(* x (+ 1 (* x (- (* x (+ 1/8 (* -1/8 x))) 1)))) |
(* (pow x 2) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (/ (+ (* -3/2 (* (sqrt x) (sqrt -1))) (* 1/2 (sqrt x))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (/ (+ (* -3/2 (* (sqrt x) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (* (sqrt -1) (- 1 (* -9/4 x))))) (* 1/2 (* (sqrt x) (- 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* 1/2 (sqrt x)))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(* -1 (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* x (- (+ (* -1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (pow x 2)))) (+ (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 (pow x 5)))))) |
(* x (- (+ (* -1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* -1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (pow x 3))) (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (pow x 2))))) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (* -1 (/ (- (* -1 (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (sqrt (/ 1 x))) (pow x 3))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -3/2 (* (sqrt x) (sqrt -1))) (* -1/2 (sqrt x))) (* -1 (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -3/2 (* (sqrt x) (sqrt -1))) (+ (* -1 (/ (- (+ (* -1 (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x)))) (* -1 (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(* x (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (sqrt -1)))) (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (sqrt -1)))) (+ (* -1/2 (/ (* (+ 2 (/ 1 (pow (sqrt -1) 2))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (pow x 2) (sqrt -1)))) (+ (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1))) (/ (* (sqrt -1) (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2)))))))) |
(* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 3) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (pow x 3) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 2 (/ 1 (pow (sqrt -1) 2))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1)))) (+ (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* (sqrt (/ 1 (pow x 5))) (sqrt -1)) (+ (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1))) (/ (* (sqrt -1) (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2)))))))))))) |
(* -1 (* x (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))))) x)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1/2 (/ (* (+ 2 (/ 1 (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1)))) (sqrt -1))) (* (sqrt -1) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))))) x))))) x)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (/ (+ (* 1/2 (sqrt x)) (+ (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (+ (* 1/2 (/ (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))) (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))) x)) (+ (* -1/2 (/ (* (+ 2 (/ 1 (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1)))) (sqrt -1))) (* (sqrt -1) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))))))) x))))) x)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- (* 5/8 x) 1)))) |
(* x (+ 1 (* x (- (* x (+ 5/8 (* -5/8 x))) 1)))) |
(* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) x))) x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) x))) x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (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 (pow x 2))) (pow x 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 (pow x 2)) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 3/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 3/8 (* 5/16 x)))))) |
(* (sqrt (/ 1 x)) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ 1 (* 1/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* (sqrt (/ 1 x)) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ 1 (* -1/4 x)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- (* 5/8 x) 1)))) |
(* x (+ 1 (* x (- (* x (+ 5/8 (* -5/8 x))) 1)))) |
(* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) x))) x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) x))) x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
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 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(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 (pow x 2))) |
(+ 1 (* (pow x 2) (- x 1))) |
(+ 1 (* (pow x 2) (- (* x (+ 1 (* -1 (pow x 2)))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 5)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 (pow x 2)) 1) x)) |
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 3)))) x)) |
(* -1 (/ (- (+ (* -1 (/ (- 1 (/ 1 (pow x 2))) (pow x 3))) (/ 1 (pow x 2))) 1) x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) |
(* x (sqrt -1)) |
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) |
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))) |
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) |
(* -1 (* x (sqrt -1))) |
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))) |
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -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)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) |
(* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (sqrt -1)))) (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))) |
(* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (sqrt -1)))) (+ (* -1/2 (/ (* (+ 2 (/ 1 (pow (sqrt -1) 2))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (pow x 2) (sqrt -1)))) (+ (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1))) (/ (* (sqrt -1) (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2)))))))) |
(*.f64 x (+.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))))))) |
(* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 3) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (pow x 3) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 2 (/ 1 (pow (sqrt -1) 2))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1)))) (+ (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* (sqrt (/ 1 (pow x 5))) (sqrt -1)) (+ (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1))) (/ (* (sqrt -1) (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2)))))))))))) |
(*.f64 x (+.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))))) (/.f64 (fma.f64 (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))))) |
(* -1 (* x (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))))) x)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1/2 (/ (* (+ 2 (/ 1 (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1)))) (sqrt -1))) (* (sqrt -1) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))))) x))))) x)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(neg.f64 (*.f64 x (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))))) (neg.f64 x))) x)))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (/ (+ (* 1/2 (sqrt x)) (+ (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (+ (* 1/2 (/ (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))) (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))) x)) (+ (* -1/2 (/ (* (+ 2 (/ 1 (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1)))) (sqrt -1))) (* (sqrt -1) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))))))) x))))) x)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(neg.f64 (*.f64 x (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))))) (neg.f64 x))) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (sqrt x) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (sqrt x) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
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(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
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-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))) |
(* x (- 1 (/ 1 x))) |
(+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))) |
(* x (- 1 (/ 1 x))) |
(+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1 (* -2 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(* (pow x 2) (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) |
(* (pow x 2) (- (+ (/ 1 x) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 1) x)) 1) x)) 1)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64))) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)) x) |
(* (sqrt x) (- 1 (sqrt -1))) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
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(* x (+ (* (sqrt (/ 1 x)) (- 1 (sqrt -1))) (+ (* (sqrt (/ 1 (pow x 3))) (- 1/2 (* 1/2 (/ 1 (sqrt -1))))) (* (sqrt (/ 1 (pow x 5))) (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))))))) |
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(* x (+ (* -1 (* (sqrt (/ 1 (pow x 7))) (+ 3/16 (* 1/2 (/ (- 2 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (- 1 (sqrt -1)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt -1))) (+ (* (sqrt (/ 1 (pow x 3))) (- 1/2 (* 1/2 (/ 1 (sqrt -1))))) (* (sqrt (/ 1 (pow x 5))) (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))))))))) |
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(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 (sqrt -1))))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (- (* 1/2 (/ 1 (sqrt -1))) 1/2)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (sqrt -1))))))) |
(neg.f64 (*.f64 x (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/2 (/ 1 (sqrt -1))) 1/2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (sqrt -1))))))) |
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(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (- 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3/16 (* -1/2 (/ (+ 2 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))))))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/2 (/ 1 (sqrt -1))) 1/2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (sqrt -1))))))) |
(neg.f64 (*.f64 x (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 13/16 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) x)) x)) x)))) |
x |
(* x (+ 1 (* 5/8 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 5/8 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 5/8 (* -1/2 x))))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 5/8 binary64)) x) x) |
(* x (+ 1 (* (pow x 2) (+ 5/8 (* x (- (* 63/128 x) 1/2)))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 63/128 binary64) #s(literal -1/2 binary64)) #s(literal 5/8 binary64)) x) |
(* x (- 1 (sqrt -1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* x (- (+ 1 (* 1/2 (/ 1 x))) (+ (sqrt -1) (/ 1/2 (* x (sqrt -1)))))) |
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(* x (- (+ 1 (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x)))) (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 2) (sqrt -1)))) (/ 1/2 (* x (sqrt -1))))))) |
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(* x (- (+ 1 (+ (* -1 (/ (+ 3/16 (* 1/2 (/ (- 2 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1)))) (pow x 3))) (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x))))) (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 2) (sqrt -1)))) (/ 1/2 (* x (sqrt -1))))))) |
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(* -1 (* x (- 1 (sqrt -1)))) |
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) 1/2) x))) (sqrt -1)))) |
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(* -1 (* x (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- 3/8 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) x)) (* 1/2 (/ 1 (sqrt -1)))) 1/2) x))) (sqrt -1)))) |
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(* -1 (* x (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ 3/8 (* -1 (/ (- 3/16 (* -1/2 (/ (+ 2 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1)))) x))) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) x)) (* 1/2 (/ 1 (sqrt -1)))) 1/2) x))) (sqrt -1)))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
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(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 3/8 (* -3/16 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/16 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 (/ 1 x)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) x) x) |
(* x (+ 1 (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/8 binary64) (*.f64 x x))) x) |
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(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 x))))) |
(neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ 1 (+ (/ 3/8 (pow x 2)) (* 1/2 (/ 1 x)))))) |
(neg.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/8 binary64) (*.f64 x x))) x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 3/8 (* 3/16 (/ 1 x))) x)) 1/2) x))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
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(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) |
(* x (- (/ 1 x) 1)) |
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) |
(* x (- (/ 1 x) 1)) |
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
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(* -1 (* x (- 1 (/ 1 x)))) |
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(* x (+ 1 (* x (- (* x (+ 1/8 (* -1/8 x))) 1)))) |
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(* (pow x 2) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
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x |
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x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
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(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
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(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
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(* x (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
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(* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (sqrt -1)))) (* (sqrt -1) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
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x |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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(* (sqrt (/ 1 x)) (sqrt -1)) |
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(* (sqrt (/ 1 x)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))) |
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(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
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(+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ 1 (* -1/4 x)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (sqrt x) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
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(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) |
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x |
(* x (+ 1 (* -1 x))) |
(fma.f64 x (neg.f64 x) x) |
(* x (+ 1 (* x (- (* 5/8 x) 1)))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 5/8 binary64) #s(literal -1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 5/8 (* -5/8 x))) 1)))) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -5/8 binary64) #s(literal 5/8 binary64)) #s(literal -1 binary64)) x) |
(* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 x (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
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(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
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(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
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(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) x))) x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(fma.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ 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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
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(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (neg.f64 x)) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 0 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) 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 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* (pow x 2) (- x 1))) |
(fma.f64 x (fma.f64 x x (neg.f64 x)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* x (+ 1 (* -1 (pow x 2)))) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 (pow x 2))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x) |
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(/ (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 5)))) x) |
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(/ 1 x) |
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(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) |
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 3)))) x)) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* x (sqrt -1)) |
(*.f64 x (sqrt.f64 #s(literal -1 binary64))) |
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(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))))) |
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) |
(*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))))) |
(* -1 (* x (sqrt -1))) |
(neg.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
(*.f64 (neg.f64 x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))))) |
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
(*.f64 (neg.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 0 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.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 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
Compiled 146 271 to 9 006 computations (93.8% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 636 | 4 | 3 640 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 3 639 | 12 | 3 651 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.8% | (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | 99.7% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) |
| ✓ | 99.6% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) x) |
| ✓ | 99.3% | (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
| 7.9% | (/.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) | |
| 7.8% | (/.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) x)) | |
| 7.8% | (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) | |
| 7.9% | (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) | |
| ✓ | 7.7% | (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 7.7% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 7.8% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | 99.0% | x |
Compiled 689 to 225 computations (67.3% saved)
| Inputs |
|---|
x |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) x) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) |
(-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
x |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) x) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) x) |
2 calls:
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
x |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
Compiled 12 to 8 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
| 99.0% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 40 |
| 1 | 23 | 40 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
x |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) x) |
x |
| 21 484× | accelerator-lowering-fma.f32 |
| 21 484× | accelerator-lowering-fma.f64 |
| 4 942× | +-lowering-+.f64 |
| 4 942× | +-lowering-+.f32 |
| 4 596× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 971 |
| 1 | 493 | 856 |
| 2 | 1729 | 798 |
| 3 | 7219 | 798 |
| 0 | 8083 | 746 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
Compiled 67 to 32 computations (52.2% saved)
(negabs x)
Compiled 168 to 88 computations (47.6% saved)
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