
Time bar (total: 15.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 4 |
| 37.5% | 0.3% | 0.5% | 99.1% | 0% | 0% | 0% | 5 |
| 43.7% | 0.4% | 0.5% | 99.1% | 0% | 0% | 0% | 6 |
| 65.6% | 0.6% | 0.3% | 99.1% | 0% | 0% | 0% | 7 |
| 70.3% | 0.6% | 0.3% | 99.1% | 0% | 0% | 0% | 8 |
| 82% | 0.7% | 0.2% | 99.1% | 0% | 0% | 0% | 9 |
| 84.8% | 0.7% | 0.1% | 99.1% | 0% | 0% | 0% | 10 |
| 90.8% | 0.8% | 0.1% | 99.1% | 0% | 0% | 0% | 11 |
| 92.3% | 0.8% | 0.1% | 99.1% | 0% | 0% | 0% | 12 |
Compiled 31 to 23 computations (25.8% saved)
| 1.2s | 8 256× | 0 | valid |
const: 228.0ms (24.2% of total)ival-<=: 127.0ms (13.5% of total)ival-add: 111.0ms (11.8% of total)ival-sub: 107.0ms (11.3% of total)ival-mult: 93.0ms (9.9% of total)ival-log: 89.0ms (9.4% of total)ival-div: 85.0ms (9% of total)ival-exp: 66.0ms (7% of total)ival-and: 23.0ms (2.4% of total)exact: 12.0ms (1.3% of total)ival-assert: 3.0ms (0.3% of total)| 2× | egg-herbie |
| 500× | accelerator-lowering-fma.f32 |
| 500× | accelerator-lowering-fma.f64 |
| 402× | div-sub |
| 368× | sub-neg |
| 360× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 100 |
| 1 | 76 | 90 |
| 2 | 169 | 90 |
| 3 | 427 | 90 |
| 4 | 1044 | 90 |
| 5 | 1922 | 90 |
| 6 | 2606 | 90 |
| 7 | 2949 | 90 |
| 8 | 3135 | 90 |
| 9 | 3193 | 90 |
| 10 | 3232 | 90 |
| 11 | 3263 | 90 |
| 0 | 12 | 15 |
| 1 | 20 | 15 |
| 2 | 30 | 15 |
| 3 | 53 | 15 |
| 4 | 108 | 15 |
| 5 | 155 | 15 |
| 6 | 235 | 15 |
| 7 | 378 | 15 |
| 8 | 497 | 15 |
| 9 | 544 | 15 |
| 10 | 545 | 15 |
| 0 | 545 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
| Outputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
(fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
| Inputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
(+ 1 (* v (log (+ (neg u) (* (- 1 (neg u)) (exp (/ -2 v))))))) |
(+ 1 (* (neg v) (log (+ u (* (- 1 u) (exp (/ -2 (neg v)))))))) |
(neg (+ 1 (* v (log (+ (neg u) (* (- 1 (neg u)) (exp (/ -2 v)))))))) |
(neg (+ 1 (* (neg v) (log (+ u (* (- 1 u) (exp (/ -2 (neg v))))))))) |
(+ 1 (* u (log (+ v (* (- 1 v) (exp (/ -2 u))))))) |
| Outputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
(+ 1 (* v (log (+ (neg u) (* (- 1 (neg u)) (exp (/ -2 v))))))) |
(+ 1 (* v (log (- (* (exp (/ -2 v)) (+ 1 u)) u)))) |
(+ 1 (* (neg v) (log (+ u (* (- 1 u) (exp (/ -2 (neg v)))))))) |
(- 1 (* v (log (+ u (* (- 1 u) (exp (/ 2 v))))))) |
(neg (+ 1 (* v (log (+ (neg u) (* (- 1 (neg u)) (exp (/ -2 v)))))))) |
(- -1 (* v (log (- (* (exp (/ -2 v)) (+ 1 u)) u)))) |
(neg (+ 1 (* (neg v) (log (+ u (* (- 1 u) (exp (/ -2 (neg v))))))))) |
(+ -1 (* v (log (+ u (* (- 1 u) (exp (/ 2 v))))))) |
(+ 1 (* u (log (+ v (* (- 1 v) (exp (/ -2 u))))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 1 | 2 | (0.1378943771123886 0.0035233621019870043) | 1 | (0.005864499602466822 0.02901034988462925) | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | #s(literal -2 binary32) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
| 0 | 0 | - | 0 | - | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal -2 binary32) v) |
| 0 | 0 | - | 0 | - | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 0 | 0 | - | 0 | - | (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f32 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | sensitivity | 2 | 5 |
+.f32 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 1 |
| - | 2 | 252 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 1 | 0 |
| - | 2 | 9 | 243 |
| number | freq |
|---|---|
| 0 | 253 |
| 1 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 48.0ms | 512× | 0 | valid |
Compiled 180 to 52 computations (71.1% saved)
ival-mult: 7.0ms (21.9% of total)ival-log: 7.0ms (21.9% of total)ival-add: 5.0ms (15.6% of total)ival-div: 4.0ms (12.5% of total)ival-exp: 4.0ms (12.5% of total)ival-sub: 3.0ms (9.4% of total)exact: 1.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
| ✓ | cost-diff | 0 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| ✓ | cost-diff | 64 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| ✓ | cost-diff | 96 | (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
| 500× | accelerator-lowering-fma.f32 |
| 500× | accelerator-lowering-fma.f64 |
| 196× | *-lowering-*.f32 |
| 196× | *-lowering-*.f64 |
| 140× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 71 |
| 1 | 20 | 71 |
| 2 | 30 | 71 |
| 3 | 53 | 71 |
| 4 | 108 | 71 |
| 5 | 155 | 71 |
| 6 | 235 | 71 |
| 7 | 378 | 71 |
| 8 | 497 | 71 |
| 9 | 544 | 71 |
| 10 | 545 | 71 |
| 0 | 545 | 66 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
1 |
(* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) |
v |
(log (+ u (* (- 1 u) (exp (/ -2 v))))) |
(+ u (* (- 1 u) (exp (/ -2 v)))) |
u |
(* (- 1 u) (exp (/ -2 v))) |
(- 1 u) |
(exp (/ -2 v)) |
(/ -2 v) |
-2 |
| Outputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
(fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
1 |
#s(literal 1 binary32) |
(* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) |
(*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) |
v |
(log (+ u (* (- 1 u) (exp (/ -2 v))))) |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(+ u (* (- 1 u) (exp (/ -2 v)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
u |
(* (- 1 u) (exp (/ -2 v))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 0 binary32)) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
-2 |
#s(literal -2 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
| ✓ | accuracy | 99.8% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| ✓ | accuracy | 99.7% | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| ✓ | accuracy | 99.2% | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 22.0ms | 256× | 0 | valid |
Compiled 73 to 14 computations (80.8% saved)
ival-mult: 3.0ms (21.8% of total)ival-log: 3.0ms (21.8% of total)ival-div: 2.0ms (14.5% of total)ival-add: 2.0ms (14.5% of total)ival-exp: 2.0ms (14.5% of total)ival-sub: 1.0ms (7.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ u (* (- 1 u) (exp (/ -2 v))))> |
#<alt (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))> |
#<alt (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))> |
#<alt (log (+ u (* (- 1 u) (exp (/ -2 v)))))> |
#<alt (exp (/ -2 v))> |
| Outputs |
|---|
#<alt (exp (/ -2 v))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (* u (+ 1 (* -1 (exp (/ -2 v)))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* -1 (* u (- (exp (/ -2 v)) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (- 1 u) v)))> |
#<alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))> |
#<alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (- 1 u) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))> |
#<alt 1> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))> |
#<alt -1> |
#<alt (- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)> |
#<alt (- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)> |
#<alt (- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)> |
#<alt (+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))> |
#<alt (+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))> |
#<alt (+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))> |
#<alt (+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))> |
#<alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))> |
#<alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))> |
#<alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))> |
#<alt (* -2 (- 1 u))> |
#<alt (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))> |
#<alt (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
#<alt (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))> |
#<alt (* -2 (- 1 u))> |
#<alt (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))> |
#<alt (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))> |
#<alt (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))> |
#<alt -2> |
#<alt (- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)> |
#<alt (- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)> |
#<alt (- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)> |
#<alt (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))> |
#<alt (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))> |
#<alt (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))> |
#<alt (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))> |
#<alt (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))> |
#<alt (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))> |
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))> |
#<alt (/ -2 v)> |
#<alt (- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))> |
#<alt (- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))> |
#<alt (- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (* -2 (/ (- 1 u) v))> |
#<alt (/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)> |
#<alt (/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)> |
#<alt (/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)> |
#<alt (* -2 (/ (- 1 u) v))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 v)))> |
#<alt (- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))> |
#<alt (- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 v)))> |
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))> |
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | v | @ | 0 | (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) |
| 14.0ms | v | @ | 0 | (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
| 2.0ms | v | @ | -inf | (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
| 1.0ms | v | @ | inf | (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
| 1.0ms | u | @ | -inf | (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
| 1× | batch-egg-rewrite |
| 5 318× | accelerator-lowering-fma.f32 |
| 5 318× | accelerator-lowering-fma.f64 |
| 4 218× | *-lowering-*.f32 |
| 4 218× | *-lowering-*.f64 |
| 1 912× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 53 |
| 1 | 61 | 53 |
| 2 | 458 | 53 |
| 3 | 4873 | 53 |
| 0 | 8713 | 48 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ u (* (- 1 u) (exp (/ -2 v)))) |
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
(* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) |
(log (+ u (* (- 1 u) (exp (/ -2 v))))) |
(exp (/ -2 v)) |
| Outputs |
|---|
(neg.f32 (/.f32 (fma.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u))) (neg.f32 (fma.f32 u u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (+.f32 u #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) (neg.f32 u)))))))) |
(neg.f32 (/.f32 (fma.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 u u)) (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)))) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u)))) (fma.f32 u u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (+.f32 u #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) (neg.f32 u))))))) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 u u))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u))) |
(exp.f32 (*.f32 (neg.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) u))) #s(literal -1 binary32))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)))) |
(+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u)) |
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u) |
(+.f32 (/.f32 (*.f32 u u) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)) (neg.f32 (/.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)))) |
(+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) u)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) u)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) (neg.f32 u)) (fma.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (-.f32 #s(literal 0 binary32) (*.f32 u u)))) #s(literal -1 binary32)) |
(fma.f32 u #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)))) |
(fma.f32 u (/.f32 u (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)) (neg.f32 (/.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)))) |
(fma.f32 #s(literal 1 binary32) u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)))) |
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) u) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (log1p.f32 u)) u) |
(fma.f32 (*.f32 u u) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)) (neg.f32 (/.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)))) |
(fma.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
(fma.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32))) u) |
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u) |
(fma.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32))) u) |
(fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) u) |
(fma.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u)) |
(fma.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (*.f32 (fma.f32 u u u) (fma.f32 u u u)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (-.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) |
(fma.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) (fma.f32 u u u)))) (-.f32 #s(literal 1 binary32) (fma.f32 u u u)) u) |
(fma.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32)) u) |
(fma.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32)) u) |
(fma.f32 (/.f32 (*.f32 u u) (fma.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 u u))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) u) (neg.f32 (/.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)))) |
(fma.f32 (/.f32 (*.f32 u u) (neg.f32 (fma.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u))))) (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) u) (*.f32 u u)) (neg.f32 (/.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)))) |
(fma.f32 (exp.f32 (log1p.f32 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u)) |
(-.f32 (/.f32 (*.f32 u u) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)) (/.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u))) |
(-.f32 (/.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) (neg.f32 u))) (/.f32 (*.f32 u u) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) (neg.f32 u)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) u))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) u)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) (neg.f32 u)) (fma.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (-.f32 #s(literal 0 binary32) (*.f32 u u))))) |
(/.f32 (fma.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u))) (fma.f32 u u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (+.f32 u #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) (neg.f32 u)))))) |
(/.f32 (fma.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 u u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) u)))) |
(/.f32 (neg.f32 (fma.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 u u))) (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u))) |
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(-.f32 (log.f32 (*.f32 (-.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 (exp.f32 (*.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32))) (*.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))))) (/.f32 #s(literal 1 binary32) (fma.f32 u u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (+.f32 u #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) (neg.f32 u)))))))) (log.f32 (neg.f32 (fma.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u)))))) |
(-.f32 (log.f32 (*.f32 (-.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 (exp.f32 (*.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32))) (*.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)))) (log.f32 (fma.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) (fma.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 u u)) (*.f32 u (*.f32 u (*.f32 u u)))))) |
(-.f32 (log.f32 (*.f32 (-.f32 (*.f32 u (*.f32 u (*.f32 u u))) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)))) (log.f32 (fma.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 u u)))) |
(-.f32 (log.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u)))))) (log.f32 (neg.f32 (neg.f32 (fma.f32 u u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (+.f32 u #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) (neg.f32 u))))))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 u u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (+.f32 u #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) (neg.f32 u)))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (fma.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 (fma.f32 u u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (+.f32 u #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) (neg.f32 u)))))) #s(literal 2 binary32)) (*.f32 (log.f32 (fma.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u)))) (log.f32 (fma.f32 u u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (+.f32 u #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) (neg.f32 u)))))))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 u u))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (fma.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 u u))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)) #s(literal 2 binary32)) (*.f32 (log.f32 (fma.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 u u))) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u)))) #s(literal 2 binary32)) (pow.f32 (log.f32 (fma.f32 u u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (+.f32 u #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) (neg.f32 u)))))) #s(literal 2 binary32))) (log.f32 (*.f32 (fma.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u))) (fma.f32 u u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (+.f32 u #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) (neg.f32 u)))))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 u u))) #s(literal 2 binary32)) (pow.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)) #s(literal 2 binary32))) (log.f32 (*.f32 (fma.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 u u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 u) #s(literal -1 binary32)) u)))) |
(*.f32 #s(literal 1 binary32) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) u))) |
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) u)) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) u)))) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)) u)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 #s(literal -2 binary32) v))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) v))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -2 binary32))) |
(pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) |
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) v)) |
(pow.f32 (exp.f32 #s(literal -2 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) |
(pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) |
(pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v)) |
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)) |
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) |
(pow.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v)) |
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) |
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 #s(literal -2 binary32) v)) |
(pow.f32 (pow.f32 (E.f32) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) v)) |
(pow.f32 (pow.f32 (E.f32) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)) |
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) |
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (E.f32) (pow.f32 (*.f32 v #s(literal -1/2 binary32)) #s(literal -1/2 binary32))) (pow.f32 (*.f32 v #s(literal -1/2 binary32)) #s(literal -1/2 binary32))) |
(pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) |
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (pow.f32 (*.f32 v #s(literal -1/2 binary32)) #s(literal -1/2 binary32))) (pow.f32 (*.f32 v #s(literal -1/2 binary32)) #s(literal -1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) v))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v)))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (*.f32 v #s(literal -1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v)))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (*.f32 v #s(literal -1/2 binary32))))) |
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) |
(*.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))) |
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) |
| 1× | egg-herbie |
| 11 468× | accelerator-lowering-fma.f32 |
| 11 468× | accelerator-lowering-fma.f64 |
| 6 092× | +-lowering-+.f64 |
| 6 092× | +-lowering-+.f32 |
| 4 776× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 337 | 3014 |
| 1 | 935 | 2793 |
| 2 | 3014 | 2668 |
| 0 | 8317 | 2386 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
1 |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) |
1 |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
1 |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
-1 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(* -2 (- 1 u)) |
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) |
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) |
(* -2 (- 1 u)) |
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) |
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))) |
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))) |
-2 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) |
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) |
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) |
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(/ -2 v) |
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1)))))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(* -2 (/ (- 1 u) v)) |
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v) |
(* -2 (/ (- 1 u) v)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
1 |
(- 1 (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
1 |
(- 1 (* 2 (/ 1 v))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
| Outputs |
|---|
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(*.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(*.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(*.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(*.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(*.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(*.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (/ (- 1 u) v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32)) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 v v)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 1 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (/ (- 1 u) v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32)) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) v)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 u) #s(literal 2 binary32)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)) v)) v)) v)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) |
(+ 1 (* -2 (- 1 u))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))) |
(fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))))) |
(+ 1 (* -2 (- 1 u))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))) |
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) #s(literal -1/6 binary32))) (neg.f32 v))) v)) |
-1 |
#s(literal -1 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(fma.f32 u (fma.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 v u) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))))) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32)) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) #s(literal 1 binary32)) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) #s(literal 1 binary32)) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(fma.f32 v (+.f32 (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) #s(literal 1 binary32)) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
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-2 |
#s(literal -2 binary32) |
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(+.f32 (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) (fma.f32 #s(literal 1/3 binary32) (/.f32 (pow.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 3 binary32)) (*.f32 u (*.f32 u u))) (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) |
(-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1)))))) |
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 u (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) (*.f32 u (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) u)) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) u) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) u)) u)) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(* -2 (/ (- 1 u) v)) |
(/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v) |
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v) |
(/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v) |
(/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))))) (*.f32 v v)))) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v) |
(/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))))) (*.f32 v v))))) v) |
(* -2 (/ (- 1 u) v)) |
(/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v)) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal -1/2 binary32) v) (fma.f32 #s(literal 2 binary32) (neg.f32 u) #s(literal 2 binary32))) (neg.f32 v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(/.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) #s(literal 0 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.f32 #s(literal -1/6 binary32) v))) v)) (neg.f32 v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal 0 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) #s(literal -1/24 binary32) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))))) v)) (neg.f32 v))) (neg.f32 v)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
1 |
#s(literal 1 binary32) |
(- 1 (* 2 (/ 1 v))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v)) |
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)) v)) |
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)) v)) (/.f32 #s(literal -4/3 binary32) (*.f32 v (*.f32 v v)))) |
1 |
#s(literal 1 binary32) |
(- 1 (* 2 (/ 1 v))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v)) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)) v)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)) |
Compiled 14 320 to 1 543 computations (89.2% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 344 | 19 | 363 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 344 | 20 | 364 |
| Status | Accuracy | Program |
|---|---|---|
| 10.4% | (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)) | |
| 99.5% | (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) | |
| 5.2% | (fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)) | |
| ▶ | 11.8% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
| ▶ | 13.6% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
| 7.3% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) | |
| 11.3% | (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) #s(literal -1/6 binary32))) (neg.f32 v))) v)) | |
| 11.8% | (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)) | |
| 10.4% | (+.f32 #s(literal 1 binary32) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))) | |
| 11.3% | (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v)))) | |
| 11.8% | (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) (neg.f32 v)))) | |
| ▶ | 10.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))) |
| 11.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))))) (*.f32 v v)))) v))) | |
| 12.8% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) | |
| 7.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) | |
| 99.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) | |
| ▶ | 99.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v))))))) |
| ✓ | 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 88.4% | #s(literal 1 binary32) | |
| ▶ | 5.6% | #s(literal -1 binary32) |
Compiled 1 105 to 626 computations (43.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
| ✓ | cost-diff | 0 | (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) |
| ✓ | cost-diff | 96 | (+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))) |
| ✓ | cost-diff | 352 | (*.f32 v (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) |
| ✓ | cost-diff | 96 | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) |
| ✓ | cost-diff | 160 | (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
| ✓ | cost-diff | 192 | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
| ✓ | cost-diff | 256 | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) |
| ✓ | cost-diff | 64 | (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) |
| ✓ | cost-diff | 96 | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) |
| ✓ | cost-diff | 96 | (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)) |
| ✓ | cost-diff | 192 | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v))))) |
| ✓ | cost-diff | 0 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v)))))) |
| ✓ | cost-diff | 64 | (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v)))) |
| ✓ | cost-diff | 64 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v))))))) |
| 15 010× | accelerator-lowering-fma.f32 |
| 15 010× | accelerator-lowering-fma.f64 |
| 3 310× | *-lowering-*.f32 |
| 3 310× | *-lowering-*.f64 |
| 2 996× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 413 |
| 1 | 108 | 389 |
| 2 | 311 | 361 |
| 3 | 1060 | 333 |
| 4 | 4472 | 324 |
| 0 | 8047 | 292 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (pow (E) (/ -2 v))))))) |
1 |
(* v (log (+ u (* (- 1 u) (pow (E) (/ -2 v)))))) |
v |
(log (+ u (* (- 1 u) (pow (E) (/ -2 v))))) |
(+ u (* (- 1 u) (pow (E) (/ -2 v)))) |
u |
(* (- 1 u) (pow (E) (/ -2 v))) |
(- 1 u) |
(pow (E) (/ -2 v)) |
(E) |
(/ -2 v) |
-2 |
-1 |
(+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1)) |
-2 |
(- 1 u) |
1 |
u |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(+ (* (- 1 u) -4) 4) |
-4 |
4 |
(/ 1/2 v) |
1/2 |
v |
(+ (* 1/6 (/ (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1))) |
1/6 |
(/ (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) (* v v)) |
(+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) |
(- 1 u) |
1 |
u |
-8 |
(* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) |
(* (- 1 u) (- 1 u)) |
(+ (* (- 1 u) -16) 24) |
-16 |
24 |
(* v v) |
v |
(+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1)) |
-2 |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(+ (* (- 1 u) -4) 4) |
-4 |
4 |
(/ 1/2 v) |
1/2 |
(+ 1 (* v (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)))) |
1 |
(* v (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v))) |
v |
(+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) |
u |
(- (exp (/ 2 v)) 1) |
(/ 2 v) |
2 |
(/ -2 v) |
-2 |
| Outputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (pow (E) (/ -2 v))))))) |
(fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
1 |
#s(literal 1 binary32) |
(* v (log (+ u (* (- 1 u) (pow (E) (/ -2 v)))))) |
(*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v)) u))) |
v |
(log (+ u (* (- 1 u) (pow (E) (/ -2 v))))) |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v)) u)) |
(+ u (* (- 1 u) (pow (E) (/ -2 v)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v)) u) |
u |
(* (- 1 u) (pow (E) (/ -2 v))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(pow (E) (/ -2 v)) |
(pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v)) |
(E) |
(E.f32) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
-2 |
#s(literal -2 binary32) |
-1 |
#s(literal -1 binary32) |
(+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal -2 binary32))) |
-2 |
#s(literal -2 binary32) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1) |
(fma.f32 (/.f32 #s(literal -2 binary32) v) (fma.f32 u (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 1 binary32)) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(fma.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 0 binary32)) |
(+ (* (- 1 u) -4) 4) |
(fma.f32 u #s(literal 4 binary32) #s(literal 0 binary32)) |
-4 |
#s(literal -4 binary32) |
4 |
#s(literal 4 binary32) |
(/ 1/2 v) |
(/.f32 #s(literal 1/2 binary32) v) |
1/2 |
#s(literal 1/2 binary32) |
v |
(+ (* 1/6 (/ (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal 16 binary32) #s(literal 8 binary32)) #s(literal -8 binary32)) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (fma.f32 u #s(literal 4 binary32) #s(literal 0 binary32)) #s(literal -2 binary32))) #s(literal 1 binary32)) |
1/6 |
#s(literal 1/6 binary32) |
(/ (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) (* v v)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal 16 binary32) #s(literal 8 binary32)) #s(literal -8 binary32)) (*.f32 v v))) |
(+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal 16 binary32) #s(literal 8 binary32)) #s(literal -8 binary32))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
-8 |
#s(literal -8 binary32) |
(* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal 16 binary32) #s(literal 8 binary32)))) |
(* (- 1 u) (- 1 u)) |
(fma.f32 u (+.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))) #s(literal 1 binary32)) |
(+ (* (- 1 u) -16) 24) |
(fma.f32 u #s(literal 16 binary32) #s(literal 8 binary32)) |
-16 |
#s(literal -16 binary32) |
24 |
#s(literal 24 binary32) |
(* v v) |
(*.f32 v v) |
v |
(+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal -2 binary32))) |
-2 |
#s(literal -2 binary32) |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1) |
(fma.f32 (/.f32 #s(literal -2 binary32) v) (fma.f32 u (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 1 binary32)) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(fma.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 0 binary32)) |
(+ (* (- 1 u) -4) 4) |
(fma.f32 u #s(literal 4 binary32) #s(literal 0 binary32)) |
-4 |
#s(literal -4 binary32) |
4 |
#s(literal 4 binary32) |
(/ 1/2 v) |
(/.f32 #s(literal 1/2 binary32) v) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1 (* v (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)))) |
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)) |
1 |
#s(literal 1 binary32) |
(* v (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v))) |
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32)) |
v |
(+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) |
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) |
u |
(- (exp (/ 2 v)) 1) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/ 2 v) |
(/.f32 #s(literal 2 binary32) v) |
2 |
#s(literal 2 binary32) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
-2 |
#s(literal -2 binary32) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f32 v (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) |
| ✓ | accuracy | 99.9% | (+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))) |
| ✓ | accuracy | 99.7% | (expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
| ✓ | accuracy | 99.1% | (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) |
| ✓ | accuracy | 98.6% | (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)) |
| ✓ | accuracy | 97.9% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
| ✓ | accuracy | 81.2% | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) |
| ✓ | accuracy | 79.9% | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) |
| ✓ | accuracy | 99.7% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
| ✓ | accuracy | 99.3% | (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) |
| ✓ | accuracy | 98.6% | (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)) |
| ✓ | accuracy | 81.2% | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) |
| ✓ | accuracy | 99.8% | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v))))) |
| ✓ | accuracy | 99.8% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v))))))) |
| ✓ | accuracy | 99.6% | (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v)) |
| ✓ | accuracy | 99.2% | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v)))))) |
| 85.0ms | 256× | 0 | valid |
Compiled 378 to 48 computations (87.3% saved)
ival-mult: 20.0ms (30.8% of total)ival-add: 17.0ms (26.1% of total)ival-div: 7.0ms (10.8% of total)const: 6.0ms (9.2% of total)ival-pow: 5.0ms (7.7% of total)ival-log: 3.0ms (4.6% of total)ival-expm1: 2.0ms (3.1% of total)ival-e: 2.0ms (3.1% of total)ival-sub: 2.0ms (3.1% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ 1 (* v (log (+ u (* (- 1 u) (pow (E) (/ -2 v)))))))> |
#<alt (+ u (* (- 1 u) (pow (E) (/ -2 v))))> |
#<alt (* v (log (+ u (* (- 1 u) (pow (E) (/ -2 v))))))> |
#<alt (log (+ u (* (- 1 u) (pow (E) (/ -2 v)))))> |
#<alt (+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1))> |
#<alt (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1)> |
#<alt (+ (* (- 1 u) -4) 4)> |
#<alt (* (- 1 u) (+ (* (- 1 u) -4) 4))> |
#<alt (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)))> |
#<alt (+ (* 1/6 (/ (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1)))> |
#<alt (+ (* (- 1 u) -16) 24)> |
#<alt (* v (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)))> |
#<alt (+ 1 (* v (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v))))> |
#<alt (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v))> |
#<alt (- (exp (/ 2 v)) 1)> |
#<alt (pow (E) (/ -2 v))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* v (log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u))))))> |
#<alt (+ 1 (* v (log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u))))))> |
#<alt (+ 1 (* v (log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u))))))> |
#<alt (+ 1 (* -2 (* (log (E)) (- 1 u))))> |
#<alt (+ 1 (+ (* -2 (* (log (E)) (- 1 u))) (* 1/2 (/ (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))) v))))> |
#<alt (+ 1 (+ (* -2 (* (log (E)) (- 1 u))) (+ (* 1/6 (/ (+ (* -16 (* (pow (log (E)) 3) (pow (- 1 u) 3))) (+ (* -8 (* (pow (log (E)) 3) (- 1 u))) (* 24 (* (pow (log (E)) 3) (pow (- 1 u) 2))))) (pow v 2))) (* 1/2 (/ (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))) v)))))> |
#<alt (+ 1 (+ (* -2 (* (log (E)) (- 1 u))) (+ (* 1/24 (/ (+ (* -96 (* (pow (log (E)) 4) (pow (- 1 u) 4))) (+ (* -64 (* (pow (log (E)) 4) (pow (- 1 u) 2))) (+ (* -48 (* (pow (log (E)) 4) (pow (- 1 u) 2))) (+ (* 16 (* (pow (log (E)) 4) (- 1 u))) (* 192 (* (pow (log (E)) 4) (pow (- 1 u) 3))))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (* (pow (log (E)) 3) (pow (- 1 u) 3))) (+ (* -8 (* (pow (log (E)) 3) (- 1 u))) (* 24 (* (pow (log (E)) 3) (pow (- 1 u) 2))))) (pow v 2))) (* 1/2 (/ (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))) v))))))> |
#<alt (+ 1 (* -2 (* (log (E)) (- 1 u))))> |
#<alt (+ 1 (+ (* -2 (* (log (E)) (- 1 u))) (* 1/2 (/ (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))) v))))> |
#<alt (+ 1 (+ (* -2 (* (log (E)) (- 1 u))) (* -1 (/ (+ (* -1/2 (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u))))) (* 1/6 (/ (+ (* -24 (* (pow (log (E)) 3) (pow (- 1 u) 2))) (+ (* 8 (* (pow (log (E)) 3) (- 1 u))) (* 16 (* (pow (log (E)) 3) (pow (- 1 u) 3))))) v))) v))))> |
#<alt (+ 1 (+ (* -2 (* (log (E)) (- 1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (* (pow (log (E)) 3) (pow (- 1 u) 2))) (+ (* 8 (* (pow (log (E)) 3) (- 1 u))) (* 16 (* (pow (log (E)) 3) (pow (- 1 u) 3)))))) (* 1/24 (/ (+ (* -96 (* (pow (log (E)) 4) (pow (- 1 u) 4))) (+ (* -64 (* (pow (log (E)) 4) (pow (- 1 u) 2))) (+ (* -48 (* (pow (log (E)) 4) (pow (- 1 u) 2))) (+ (* 16 (* (pow (log (E)) 4) (- 1 u))) (* 192 (* (pow (log (E)) 4) (pow (- 1 u) 3))))))) v))) v)) (* -1/2 (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))))) v))))> |
#<alt (+ 1 (* -2 (log (E))))> |
#<alt (+ 1 (+ (* -2 (log (E))) (* u (* v (- (/ 1 (exp (* -2 (/ (log (E)) v)))) 1)))))> |
#<alt (+ 1 (+ (* -2 (log (E))) (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (* -2 (/ (log (E)) v))))) 2))) (pow (exp (* -2 (/ (log (E)) v))) 2))) (* v (- (/ 1 (exp (* -2 (/ (log (E)) v)))) 1))))))> |
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#<alt (* (pow u 2) (- (* 4 (/ 1 u)) 4))> |
#<alt (* (pow u 2) (- (* 4 (/ 1 u)) 4))> |
#<alt (* (pow u 2) (- (* 4 (/ 1 u)) 4))> |
#<alt (* 8 u)> |
#<alt (* u (+ 8 (* -24 u)))> |
#<alt (* u (+ 8 (* u (- (* 16 u) 24))))> |
#<alt (* u (+ 8 (* u (- (* 16 u) 24))))> |
#<alt (* 16 (pow u 3))> |
#<alt (* (pow u 3) (- 16 (* 24 (/ 1 u))))> |
#<alt (* (pow u 3) (- (+ 16 (/ 8 (pow u 2))) (* 24 (/ 1 u))))> |
#<alt (* (pow u 3) (- (+ 16 (/ 8 (pow u 2))) (* 24 (/ 1 u))))> |
#<alt (* 16 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- (* 24 (/ 1 u)) 16)))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 u)) 24) u)) 16)))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 u)) 24) u)) 16)))> |
#<alt -1> |
#<alt (- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 1)> |
#<alt (- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 1)> |
#<alt (- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 1)> |
#<alt (* 8/3 (/ (pow u 3) (pow v 2)))> |
#<alt (* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))> |
#<alt (* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))> |
#<alt (* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 1 (pow u 3)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))))> |
#<alt (* 8/3 (/ (pow u 3) (pow v 2)))> |
#<alt (* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 u) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2)))> |
#<alt (/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2))> |
#<alt (/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))))) (pow v 2))> |
#<alt (/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))))) (pow v 2))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) v))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) v))) v))))> |
#<alt 8> |
#<alt (+ 8 (* 16 u))> |
#<alt (+ 8 (* 16 u))> |
#<alt (+ 8 (* 16 u))> |
#<alt (* 16 u)> |
#<alt (* u (+ 16 (* 8 (/ 1 u))))> |
#<alt (* u (+ 16 (* 8 (/ 1 u))))> |
#<alt (* u (+ 16 (* 8 (/ 1 u))))> |
#<alt (* 16 u)> |
#<alt (* u (+ 16 (* 8 (/ 1 u))))> |
#<alt (* u (+ 16 (* 8 (/ 1 u))))> |
#<alt (* u (+ 16 (* 8 (/ 1 u))))> |
#<alt -2> |
#<alt (- (* u (* v (- (exp (/ 2 v)) 1))) 2)> |
#<alt (- (* u (* v (- (exp (/ 2 v)) 1))) 2)> |
#<alt (- (* u (* v (- (exp (/ 2 v)) 1))) 2)> |
#<alt (- (* 2 u) 2)> |
#<alt (- (+ (* 2 u) (* 2 (/ u v))) 2)> |
#<alt (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2)> |
#<alt (- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2)> |
#<alt (* -1 (+ 2 (* -2 u)))> |
#<alt (+ (* -1 (+ 2 (* -2 u))) (* 2 (/ u v)))> |
#<alt (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)))> |
#<alt (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)))> |
#<alt -2> |
#<alt (- (* u (* v (- (exp (/ 2 v)) 1))) 2)> |
#<alt (- (* u (* v (- (exp (/ 2 v)) 1))) 2)> |
#<alt (- (* u (* v (- (exp (/ 2 v)) 1))) 2)> |
#<alt (* u (* v (- (exp (/ 2 v)) 1)))> |
#<alt (* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u))))> |
#<alt (* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u))))> |
#<alt (* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u))))> |
#<alt (* u (* v (- (exp (/ 2 v)) 1)))> |
#<alt (* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u)))))> |
#<alt (* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u)))))> |
#<alt (* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u)))))> |
#<alt -1> |
#<alt (- (* u (* v (- (exp (/ 2 v)) 1))) 1)> |
#<alt (- (* u (* v (- (exp (/ 2 v)) 1))) 1)> |
#<alt (- (* u (* v (- (exp (/ 2 v)) 1))) 1)> |
#<alt (- (* 2 u) 1)> |
#<alt (- (+ (* 2 u) (* 2 (/ u v))) 1)> |
#<alt (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1)> |
#<alt (- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 1)> |
#<alt (+ 1 (* -1 (+ 2 (* -2 u))))> |
#<alt (+ 1 (+ (* -1 (+ 2 (* -2 u))) (* 2 (/ u v))))> |
#<alt (+ 1 (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v))))> |
#<alt (+ 1 (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v))))> |
#<alt -1> |
#<alt (- (* u (* v (- (exp (/ 2 v)) 1))) 1)> |
#<alt (- (* u (* v (- (exp (/ 2 v)) 1))) 1)> |
#<alt (- (* u (* v (- (exp (/ 2 v)) 1))) 1)> |
#<alt (* u (* v (- (exp (/ 2 v)) 1)))> |
#<alt (* u (- (* v (- (exp (/ 2 v)) 1)) (/ 1 u)))> |
#<alt (* u (- (* v (- (exp (/ 2 v)) 1)) (/ 1 u)))> |
#<alt (* u (- (* v (- (exp (/ 2 v)) 1)) (/ 1 u)))> |
#<alt (* u (* v (- (exp (/ 2 v)) 1)))> |
#<alt (* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u))))> |
#<alt (* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u))))> |
#<alt (* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u))))> |
#<alt (/ -2 v)> |
#<alt (- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))> |
#<alt (- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))> |
#<alt (- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))> |
#<alt (* u (- (exp (/ 2 v)) 1))> |
#<alt (* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v))))))> |
#<alt (* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v))))))> |
#<alt (* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v))))))> |
#<alt (* u (- (exp (/ 2 v)) 1))> |
#<alt (* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))> |
#<alt (* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))> |
#<alt (* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))> |
#<alt (/ -2 v)> |
#<alt (/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)> |
#<alt (/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)> |
#<alt (/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)> |
#<alt (/ (- (* 2 u) 2) v)> |
#<alt (/ (- (+ (* 2 u) (* 2 (/ u v))) 2) v)> |
#<alt (/ (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2) v)> |
#<alt (/ (- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2) v)> |
#<alt (* -1 (/ (+ 2 (* -2 u)) v))> |
#<alt (* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v))> |
#<alt (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v))> |
#<alt (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v))> |
#<alt (- (exp (/ 2 v)) 1)> |
#<alt (- (exp (/ 2 v)) 1)> |
#<alt (- (exp (/ 2 v)) 1)> |
#<alt (- (exp (/ 2 v)) 1)> |
#<alt (/ 2 v)> |
#<alt (/ (+ 2 (* 2 (/ 1 v))) v)> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v)> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v)> |
#<alt (/ 2 v)> |
#<alt (/ (+ 2 (* 2 (/ 1 v))) v)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))> |
#<alt (exp (* -2 (/ (log (E)) v)))> |
#<alt (exp (* -2 (/ (log (E)) v)))> |
#<alt (exp (* -2 (/ (log (E)) v)))> |
#<alt (exp (* -2 (/ (log (E)) v)))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (log (E)) v)))> |
#<alt (+ 1 (+ (* -2 (/ (log (E)) v)) (* 2 (/ (pow (log (E)) 2) (pow v 2)))))> |
#<alt (+ 1 (+ (* -2 (/ (log (E)) v)) (+ (* -4/3 (/ (pow (log (E)) 3) (pow v 3))) (* 2 (/ (pow (log (E)) 2) (pow v 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (log (E)) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -2 (/ (pow (log (E)) 2) v)) (* 2 (log (E)))) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow (log (E)) 3) v)) (* 2 (pow (log (E)) 2))) v)) (* 2 (log (E)))) v)))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | v | @ | 0 | (* v (log (+ u (* (- 1 u) (pow (E) (/ -2 v)))))) |
| 17.0ms | u | @ | 0 | (* v (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v))) |
| 4.0ms | v | @ | 0 | (+ 1 (* v (log (+ u (* (- 1 u) (pow (E) (/ -2 v))))))) |
| 3.0ms | u | @ | 0 | (+ u (* (- 1 u) (pow (E) (/ -2 v)))) |
| 3.0ms | u | @ | -inf | (+ (* (- 1 u) -16) 24) |
| 1× | batch-egg-rewrite |
| 6 332× | *-lowering-*.f32 |
| 6 332× | *-lowering-*.f64 |
| 3 364× | /-lowering-/.f32 |
| 3 364× | /-lowering-/.f64 |
| 2 848× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 239 |
| 1 | 293 | 222 |
| 2 | 2869 | 216 |
| 0 | 9372 | 186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (pow (E) (/ -2 v))))))) |
(+ u (* (- 1 u) (pow (E) (/ -2 v)))) |
(* v (log (+ u (* (- 1 u) (pow (E) (/ -2 v)))))) |
(log (+ u (* (- 1 u) (pow (E) (/ -2 v))))) |
(+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1)) |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1) |
(+ (* (- 1 u) -4) 4) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) |
(+ (* 1/6 (/ (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1))) |
(+ (* (- 1 u) -16) 24) |
(* v (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v))) |
(+ 1 (* v (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)))) |
(+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) |
(- (exp (/ 2 v)) 1) |
(pow (E) (/ -2 v)) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) |
(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) |
(fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(fma.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal 1 binary32) v) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal 1 binary32) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v #s(literal 1 binary32)) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))) (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32))) (fma.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32))) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))) |
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(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(*.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) (neg.f32 v))) (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) (neg.f32 v)))) |
(*.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v)))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(*.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v)))) (pow.f32 (pow.f32 (E.f32) #s(literal 4/3 binary32)) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v)))) |
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v)))) (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v)))) |
(*.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 #s(literal -2 binary32) v))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -2 binary32) v))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 (pow.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 1/2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(*.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (fma.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 1/2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v)))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (fma.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 1/2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (fma.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 1/2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v)))) (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (fma.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 1/2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(*.f32 (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (E.f32) (E.f32)))) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(*.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(*.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(*.f32 (pow.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32))) |
| 1× | egg-herbie |
| 9 564× | accelerator-lowering-fma.f32 |
| 9 564× | accelerator-lowering-fma.f64 |
| 4 614× | *-lowering-*.f32 |
| 4 614× | *-lowering-*.f64 |
| 3 926× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 678 | 5823 |
| 1 | 2082 | 5438 |
| 2 | 6294 | 5393 |
| 0 | 8086 | 4795 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* v (log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u)))))) |
(+ 1 (* v (log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u)))))) |
(+ 1 (* v (log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u)))))) |
(+ 1 (* -2 (* (log (E)) (- 1 u)))) |
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(+ 1 (+ (* -2 (* (log (E)) (- 1 u))) (+ (* 1/24 (/ (+ (* -96 (* (pow (log (E)) 4) (pow (- 1 u) 4))) (+ (* -64 (* (pow (log (E)) 4) (pow (- 1 u) 2))) (+ (* -48 (* (pow (log (E)) 4) (pow (- 1 u) 2))) (+ (* 16 (* (pow (log (E)) 4) (- 1 u))) (* 192 (* (pow (log (E)) 4) (pow (- 1 u) 3))))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (* (pow (log (E)) 3) (pow (- 1 u) 3))) (+ (* -8 (* (pow (log (E)) 3) (- 1 u))) (* 24 (* (pow (log (E)) 3) (pow (- 1 u) 2))))) (pow v 2))) (* 1/2 (/ (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))) v)))))) |
(+ 1 (* -2 (* (log (E)) (- 1 u)))) |
(+ 1 (+ (* -2 (* (log (E)) (- 1 u))) (* 1/2 (/ (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))) v)))) |
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(+ 1 (* -2 (log (E)))) |
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(+ 1 (* v (+ (log (+ 1 (* -1 (exp (* -2 (/ (log (E)) v)))))) (* -1 (log (/ 1 u)))))) |
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(+ 1 (* v (+ (log (- (exp (* -2 (/ (log (E)) v))) 1)) (* -1 (log (/ -1 u)))))) |
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(* -1 (* u (- (exp (* -2 (/ (log (E)) v))) 1))) |
(* -1 (* u (- (+ (exp (* -2 (/ (log (E)) v))) (* -1 (/ (exp (* -2 (/ (log (E)) v))) u))) 1))) |
(* -1 (* u (- (+ (exp (* -2 (/ (log (E)) v))) (* -1 (/ (exp (* -2 (/ (log (E)) v))) u))) 1))) |
(* -1 (* u (- (+ (exp (* -2 (/ (log (E)) v))) (* -1 (/ (exp (* -2 (/ (log (E)) v))) u))) 1))) |
(+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u))) |
(+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u))) |
(+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u))) |
(+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u))) |
1 |
(+ 1 (* -2 (/ (* (log (E)) (- 1 u)) v))) |
(+ 1 (+ (* -2 (/ (* (log (E)) (- 1 u)) v)) (* 2 (/ (* (pow (log (E)) 2) (- 1 u)) (pow v 2))))) |
(+ 1 (+ (* -2 (/ (* (log (E)) (- 1 u)) v)) (+ (* -4/3 (/ (* (pow (log (E)) 3) (- 1 u)) (pow v 3))) (* 2 (/ (* (pow (log (E)) 2) (- 1 u)) (pow v 2)))))) |
1 |
(+ 1 (* -2 (/ (* (log (E)) (- 1 u)) v))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (* (pow (log (E)) 2) (- 1 u)) v)) (* 2 (* (log (E)) (- 1 u)))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (* (pow (log (E)) 3) (- 1 u)) v)) (* 2 (* (pow (log (E)) 2) (- 1 u)))) v)) (* 2 (* (log (E)) (- 1 u)))) v))) |
(* v (log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u))))) |
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(* v (log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u))))) |
(* v (log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u))))) |
(* -2 (* (log (E)) (- 1 u))) |
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(* -2 (log (E))) |
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(* v (+ (log (+ 1 (* -1 (exp (* -2 (/ (log (E)) v)))))) (* -1 (log (/ 1 u))))) |
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(+ (log (- (exp (* -2 (/ (log (E)) v))) 1)) (* -1 (log (/ -1 u)))) |
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(log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u)))) |
(log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u)))) |
(log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u)))) |
(log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u)))) |
(* -2 (/ (* (log (E)) (- 1 u)) v)) |
(/ (+ (* -2 (* (log (E)) (- 1 u))) (* 1/2 (/ (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))) v))) v) |
(/ (+ (* -2 (* (log (E)) (- 1 u))) (+ (* 1/6 (/ (+ (* -16 (* (pow (log (E)) 3) (pow (- 1 u) 3))) (+ (* -8 (* (pow (log (E)) 3) (- 1 u))) (* 24 (* (pow (log (E)) 3) (pow (- 1 u) 2))))) (pow v 2))) (* 1/2 (/ (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))) v)))) v) |
(/ (+ (* -2 (* (log (E)) (- 1 u))) (+ (* 1/24 (/ (+ (* -96 (* (pow (log (E)) 4) (pow (- 1 u) 4))) (+ (* -64 (* (pow (log (E)) 4) (pow (- 1 u) 2))) (+ (* -48 (* (pow (log (E)) 4) (pow (- 1 u) 2))) (+ (* 16 (* (pow (log (E)) 4) (- 1 u))) (* 192 (* (pow (log (E)) 4) (pow (- 1 u) 3))))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (* (pow (log (E)) 3) (pow (- 1 u) 3))) (+ (* -8 (* (pow (log (E)) 3) (- 1 u))) (* 24 (* (pow (log (E)) 3) (pow (- 1 u) 2))))) (pow v 2))) (* 1/2 (/ (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))) v))))) v) |
(* -2 (/ (* (log (E)) (- 1 u)) v)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))) v)) (* 2 (* (log (E)) (- 1 u)))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (* (pow (log (E)) 3) (pow (- 1 u) 2))) (+ (* 8 (* (pow (log (E)) 3) (- 1 u))) (* 16 (* (pow (log (E)) 3) (pow (- 1 u) 3))))) v)) (* 1/2 (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))))) v)) (* 2 (* (log (E)) (- 1 u)))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (* (pow (log (E)) 4) (pow (- 1 u) 4))) (+ (* -64 (* (pow (log (E)) 4) (pow (- 1 u) 2))) (+ (* -48 (* (pow (log (E)) 4) (pow (- 1 u) 2))) (+ (* 16 (* (pow (log (E)) 4) (- 1 u))) (* 192 (* (pow (log (E)) 4) (pow (- 1 u) 3))))))) v)) (* 1/6 (+ (* -24 (* (pow (log (E)) 3) (pow (- 1 u) 2))) (+ (* 8 (* (pow (log (E)) 3) (- 1 u))) (* 16 (* (pow (log (E)) 3) (pow (- 1 u) 3))))))) v)) (* 1/2 (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))))) v)) (* 2 (* (log (E)) (- 1 u)))) v)) |
-1 |
(- (* u (+ 2 (* 2 (/ 1 v)))) 1) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2))))) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2))))) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v)))) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v) |
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v) |
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))) |
1 |
(+ 1 (* 2 (/ u v))) |
(+ 1 (* u (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) |
(+ 1 (* u (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (+ (/ 1 (pow u 2)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (+ (/ 1 (pow u 2)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (+ (/ 1 (pow u 2)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (+ (/ 1 (pow u 2)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
(/ (+ v (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v) |
(/ (+ v (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v) |
(/ (+ v (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v) |
1 |
(+ 1 (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) |
(+ 1 (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) |
(+ 1 (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) |
1 |
(+ 1 (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) |
(+ 1 (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) |
(+ 1 (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* u (+ 4 (* -4 u))) |
(* u (+ 4 (* -4 u))) |
(* u (+ 4 (* -4 u))) |
(* -4 (pow u 2)) |
(* (pow u 2) (- (* 4 (/ 1 u)) 4)) |
(* (pow u 2) (- (* 4 (/ 1 u)) 4)) |
(* (pow u 2) (- (* 4 (/ 1 u)) 4)) |
(* -4 (pow u 2)) |
(* (pow u 2) (- (* 4 (/ 1 u)) 4)) |
(* (pow u 2) (- (* 4 (/ 1 u)) 4)) |
(* (pow u 2) (- (* 4 (/ 1 u)) 4)) |
(* 8 u) |
(* u (+ 8 (* -24 u))) |
(* u (+ 8 (* u (- (* 16 u) 24)))) |
(* u (+ 8 (* u (- (* 16 u) 24)))) |
(* 16 (pow u 3)) |
(* (pow u 3) (- 16 (* 24 (/ 1 u)))) |
(* (pow u 3) (- (+ 16 (/ 8 (pow u 2))) (* 24 (/ 1 u)))) |
(* (pow u 3) (- (+ 16 (/ 8 (pow u 2))) (* 24 (/ 1 u)))) |
(* 16 (pow u 3)) |
(* -1 (* (pow u 3) (- (* 24 (/ 1 u)) 16))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 u)) 24) u)) 16))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 u)) 24) u)) 16))) |
-1 |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 1) |
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 1) |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 1) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 1 (pow u 3)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 u) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) |
(/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2)) |
(/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))))) (pow v 2)) |
(/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))))) (pow v 2)) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) v))) v)))) |
8 |
(+ 8 (* 16 u)) |
(+ 8 (* 16 u)) |
(+ 8 (* 16 u)) |
(* 16 u) |
(* u (+ 16 (* 8 (/ 1 u)))) |
(* u (+ 16 (* 8 (/ 1 u)))) |
(* u (+ 16 (* 8 (/ 1 u)))) |
(* 16 u) |
(* u (+ 16 (* 8 (/ 1 u)))) |
(* u (+ 16 (* 8 (/ 1 u)))) |
(* u (+ 16 (* 8 (/ 1 u)))) |
-2 |
(- (* u (* v (- (exp (/ 2 v)) 1))) 2) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 2) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 2) |
(- (* 2 u) 2) |
(- (+ (* 2 u) (* 2 (/ u v))) 2) |
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2) |
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2) |
(* -1 (+ 2 (* -2 u))) |
(+ (* -1 (+ 2 (* -2 u))) (* 2 (/ u v))) |
(+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v))) |
(+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v))) |
-2 |
(- (* u (* v (- (exp (/ 2 v)) 1))) 2) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 2) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 2) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u)))) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u)))) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u)))) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u))))) |
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u))))) |
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u))))) |
-1 |
(- (* u (* v (- (exp (/ 2 v)) 1))) 1) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 1) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 1) |
(- (* 2 u) 1) |
(- (+ (* 2 u) (* 2 (/ u v))) 1) |
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1) |
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 1) |
(+ 1 (* -1 (+ 2 (* -2 u)))) |
(+ 1 (+ (* -1 (+ 2 (* -2 u))) (* 2 (/ u v)))) |
(+ 1 (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)))) |
(+ 1 (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)))) |
-1 |
(- (* u (* v (- (exp (/ 2 v)) 1))) 1) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 1) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 1) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (/ 1 u))) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (/ 1 u))) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (/ 1 u))) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)))) |
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)))) |
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)))) |
(/ -2 v) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
(* u (- (exp (/ 2 v)) 1)) |
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v)))))) |
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v)))))) |
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v)))))) |
(* u (- (exp (/ 2 v)) 1)) |
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v)))))) |
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v)))))) |
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v)))))) |
(/ -2 v) |
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v) |
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v) |
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v) |
(/ (- (* 2 u) 2) v) |
(/ (- (+ (* 2 u) (* 2 (/ u v))) 2) v) |
(/ (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2) v) |
(/ (- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2) v) |
(* -1 (/ (+ 2 (* -2 u)) v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v)) |
(- (exp (/ 2 v)) 1) |
(- (exp (/ 2 v)) 1) |
(- (exp (/ 2 v)) 1) |
(- (exp (/ 2 v)) 1) |
(/ 2 v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v) |
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v) |
(/ 2 v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v)) |
(exp (* -2 (/ (log (E)) v))) |
(exp (* -2 (/ (log (E)) v))) |
(exp (* -2 (/ (log (E)) v))) |
(exp (* -2 (/ (log (E)) v))) |
1 |
(+ 1 (* -2 (/ (log (E)) v))) |
(+ 1 (+ (* -2 (/ (log (E)) v)) (* 2 (/ (pow (log (E)) 2) (pow v 2))))) |
(+ 1 (+ (* -2 (/ (log (E)) v)) (+ (* -4/3 (/ (pow (log (E)) 3) (pow v 3))) (* 2 (/ (pow (log (E)) 2) (pow v 2)))))) |
1 |
(+ 1 (* -2 (/ (log (E)) v))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (pow (log (E)) 2) v)) (* 2 (log (E)))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow (log (E)) 3) v)) (* 2 (pow (log (E)) 2))) v)) (* 2 (log (E)))) v))) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (* v (log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u)))))) |
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) |
(+ 1 (* v (log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u)))))) |
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) |
(+ 1 (* v (log (+ u (* (exp (* -2 (/ (log (E)) v))) (- 1 u)))))) |
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) |
(+ 1 (* -2 (* (log (E)) (- 1 u)))) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(+ 1 (+ (* -2 (* (log (E)) (- 1 u))) (* 1/2 (/ (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))) v)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) |
(+ 1 (+ (* -2 (* (log (E)) (- 1 u))) (+ (* 1/6 (/ (+ (* -16 (* (pow (log (E)) 3) (pow (- 1 u) 3))) (+ (* -8 (* (pow (log (E)) 3) (- 1 u))) (* 24 (* (pow (log (E)) 3) (pow (- 1 u) 2))))) (pow v 2))) (* 1/2 (/ (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))) v))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) |
(+ 1 (+ (* -2 (* (log (E)) (- 1 u))) (+ (* 1/24 (/ (+ (* -96 (* (pow (log (E)) 4) (pow (- 1 u) 4))) (+ (* -64 (* (pow (log (E)) 4) (pow (- 1 u) 2))) (+ (* -48 (* (pow (log (E)) 4) (pow (- 1 u) 2))) (+ (* 16 (* (pow (log (E)) 4) (- 1 u))) (* 192 (* (pow (log (E)) 4) (pow (- 1 u) 3))))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (* (pow (log (E)) 3) (pow (- 1 u) 3))) (+ (* -8 (* (pow (log (E)) 3) (- 1 u))) (* 24 (* (pow (log (E)) 3) (pow (- 1 u) 2))))) (pow v 2))) (* 1/2 (/ (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))) v)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -112 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 192 binary32))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))) |
(+ 1 (* -2 (* (log (E)) (- 1 u)))) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(+ 1 (+ (* -2 (* (log (E)) (- 1 u))) (* 1/2 (/ (+ (* -4 (* (pow (log (E)) 2) (pow (- 1 u) 2))) (* 4 (* (pow (log (E)) 2) (- 1 u)))) v)))) |
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8 |
#s(literal 8 binary32) |
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#s(literal -2 binary32) |
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(fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 1) |
(fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 1) |
(fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (/ 1 u))) |
(fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (/ 1 u))) |
(fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (/ 1 u))) |
(fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)))) |
(fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)))) |
(fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)))) |
(fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) |
(* u (- (exp (/ 2 v)) 1)) |
(*.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v)))))) |
(*.f32 u (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u)))) |
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v)))))) |
(*.f32 u (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u)))) |
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v)))))) |
(*.f32 u (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u)))) |
(* u (- (exp (/ 2 v)) 1)) |
(*.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v)))))) |
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) |
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v)))))) |
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) |
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v)))))) |
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v) |
(/.f32 (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v) |
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v) |
(/.f32 (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v) |
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v) |
(/.f32 (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v) |
(/ (- (* 2 u) 2) v) |
(/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v) |
(/ (- (+ (* 2 u) (* 2 (/ u v))) 2) v) |
(/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v) |
(/ (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2) v) |
(/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)) v) |
(/ (- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2) v) |
(/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(literal -2 binary32))) v) |
(* -1 (/ (+ 2 (* -2 u)) v)) |
(/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v)) |
(/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v)) |
(/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal 4/3 binary32) v) (*.f32 u #s(literal 2 binary32))) v)) (neg.f32 v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v)) |
(/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v))) v)) (neg.f32 v)) |
(- (exp (/ 2 v)) 1) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(- (exp (/ 2 v)) 1) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(- (exp (/ 2 v)) 1) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(- (exp (/ 2 v)) 1) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/ 2 v) |
(/.f32 #s(literal 2 binary32) v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) |
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v) |
(/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) v) |
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v) |
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))))) v) |
(/ 2 v) |
(/.f32 #s(literal 2 binary32) v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) (neg.f32 v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v)) |
(exp (* -2 (/ (log (E)) v))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp (* -2 (/ (log (E)) v))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp (* -2 (/ (log (E)) v))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp (* -2 (/ (log (E)) v))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (/ (log (E)) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v)) |
(+ 1 (+ (* -2 (/ (log (E)) v)) (* 2 (/ (pow (log (E)) 2) (pow v 2))))) |
(+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) |
(+ 1 (+ (* -2 (/ (log (E)) v)) (+ (* -4/3 (/ (pow (log (E)) 3) (pow v 3))) (* 2 (/ (pow (log (E)) 2) (pow v 2)))))) |
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal -4/3 binary32) (*.f32 v (*.f32 v v))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (/ (log (E)) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v)) |
(+ 1 (* -1 (/ (+ (* -2 (/ (pow (log (E)) 2) v)) (* 2 (log (E)))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow (log (E)) 3) v)) (* 2 (pow (log (E)) 2))) v)) (* 2 (log (E)))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) v)) |
Compiled 37 525 to 2 622 computations (93% saved)
47 alts after pruning (44 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 912 | 39 | 951 |
| Fresh | 9 | 5 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 924 | 47 | 971 |
| Status | Accuracy | Program |
|---|---|---|
| 10.3% | (fma.f32 (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) v #s(literal 1 binary32)) | |
| 11.8% | (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))) | |
| 11.8% | (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal 1/6 binary32)) (*.f32 v v)))) | |
| 13.6% | (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) | |
| 10.4% | (fma.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u #s(literal -1 binary32)) | |
| ▶ | 99.5% | (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
| 5.2% | (fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)) | |
| 8.6% | (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -1 binary32)) | |
| 13.5% | (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) | |
| 11.5% | (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) | |
| 7.3% | (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) | |
| 11.8% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 (+.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1/2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1/2 binary32)))) (*.f32 v v)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) | |
| 11.8% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v))) | |
| 8.1% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32)))) | |
| 8.0% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u))))))) | |
| 11.8% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) | |
| 11.5% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u #s(literal -24 binary32) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) | |
| 11.8% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) | |
| 13.6% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) | |
| 13.6% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) | |
| 7.3% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) | |
| 8.1% | (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (*.f32 v #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) (*.f32 v v)) | |
| 11.8% | (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) (*.f32 v v)) | |
| 9.0% | (/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) | |
| 99.3% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32))))) | |
| 11.0% | (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) | |
| 11.5% | (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) | |
| 11.3% | (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) #s(literal -1/6 binary32))) (neg.f32 v))) v)) | |
| 10.4% | (+.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32)) #s(literal 1 binary32)) | |
| 11.8% | (+.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 1 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (*.f32 v #s(literal 2 binary32)))) | |
| 99.5% | (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) | |
| 13.5% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) | |
| ▶ | 11.5% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
| 11.3% | (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v)))) | |
| 10.9% | (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v))) | |
| 11.5% | (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v))) | |
| ▶ | 11.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v))) |
| ▶ | 10.9% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v))) v)) (neg.f32 v)))) |
| ✓ | 99.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v))))))) |
| ✓ | 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 10.9% | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) | |
| 4.9% | (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v (*.f32 u u))) (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u u)) (/.f32 #s(literal 4/3 binary32) (*.f32 u (*.f32 v (*.f32 v u))))))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v u)))))) | |
| 8.7% | (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) u)) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v)))) | |
| 5.0% | (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v u))) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v)))) | |
| 10.8% | (*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) | |
| ▶ | 88.4% | #s(literal 1 binary32) |
| ✓ | 5.6% | #s(literal -1 binary32) |
Compiled 2 726 to 1 564 computations (42.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 96 | (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) |
| ✓ | cost-diff | 96 | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) |
| ✓ | cost-diff | 192 | (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))) |
| ✓ | cost-diff | 512 | (*.f32 v (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v)) |
| ✓ | cost-diff | 64 | (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v))) v)) |
| ✓ | cost-diff | 64 | (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v))) v)) (neg.f32 v)) |
| ✓ | cost-diff | 96 | (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) |
| ✓ | cost-diff | 512 | (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v))) v)) (neg.f32 v))) |
| ✓ | cost-diff | 0 | (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) |
| ✓ | cost-diff | 0 | (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)) |
| ✓ | cost-diff | 96 | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) |
| ✓ | cost-diff | 0 | (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
| ✓ | cost-diff | 0 | (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
| ✓ | cost-diff | 0 | (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
| 10 942× | accelerator-lowering-fma.f32 |
| 10 942× | accelerator-lowering-fma.f64 |
| 3 536× | *-lowering-*.f32 |
| 3 536× | *-lowering-*.f64 |
| 2 678× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 658 |
| 1 | 153 | 626 |
| 2 | 420 | 579 |
| 3 | 1359 | 547 |
| 4 | 5095 | 541 |
| 0 | 8247 | 491 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) |
(log (+ (* (- 1 u) (exp (/ -2 v))) u)) |
(+ (* (- 1 u) (exp (/ -2 v))) u) |
(- 1 u) |
1 |
u |
(exp (/ -2 v)) |
(/ -2 v) |
-2 |
v |
1 |
(+ 1 (+ (* u (+ 2 (+ (/ 2 v) (/ 4/3 (* v v))))) -2)) |
1 |
(+ (* u (+ 2 (+ (/ 2 v) (/ 4/3 (* v v))))) -2) |
u |
(+ 2 (+ (/ 2 v) (/ 4/3 (* v v)))) |
2 |
(+ (/ 2 v) (/ 4/3 (* v v))) |
(/ 2 v) |
v |
(/ 4/3 (* v v)) |
4/3 |
(* v v) |
-2 |
(+ 1 (* v (/ (- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) (neg v)))) |
1 |
(* v (/ (- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) (neg v))) |
v |
(/ (- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) (neg v)) |
(- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) |
(+ (* u -2) 2) |
u |
-2 |
2 |
(/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v) |
(+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) |
(/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v)) |
(+ (* u -4/3) (* (/ u v) -2/3)) |
-4/3 |
(* (/ u v) -2/3) |
(/ u v) |
-2/3 |
(neg v) |
(+ 1 (* v (/ (+ (* 1/6 (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) (* v v))) (+ (* 1/2 (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))) (+ (* u 2) -2))) v))) |
1 |
(* v (/ (+ (* 1/6 (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) (* v v))) (+ (* 1/2 (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))) (+ (* u 2) -2))) v)) |
v |
(/ (+ (* 1/6 (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) (* v v))) (+ (* 1/2 (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))) (+ (* u 2) -2))) v) |
(+ (* 1/6 (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) (* v v))) (+ (* 1/2 (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))) (+ (* u 2) -2))) |
1/6 |
(/ (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) (* v v)) |
(+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) |
(* (- 1 u) (- 1 u)) |
(- 1 u) |
u |
(+ (* (- 1 u) -16) 24) |
-16 |
24 |
(* (- 1 u) -8) |
-8 |
(* v v) |
(+ (* 1/2 (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))) (+ (* u 2) -2)) |
1/2 |
(* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v)) |
(/ (+ (* (- 1 u) -4) 4) v) |
(+ (* (- 1 u) -4) 4) |
-4 |
4 |
(+ (* u 2) -2) |
2 |
-2 |
| Outputs |
|---|
(+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) |
(fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
(log (+ (* (- 1 u) (exp (/ -2 v))) u)) |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(+ (* (- 1 u) (exp (/ -2 v))) u) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
-2 |
#s(literal -2 binary32) |
v |
1 |
#s(literal 1 binary32) |
(+ 1 (+ (* u (+ 2 (+ (/ 2 v) (/ 4/3 (* v v))))) -2)) |
(fma.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (fma.f32 v v #s(literal 0 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
1 |
#s(literal 1 binary32) |
(+ (* u (+ 2 (+ (/ 2 v) (/ 4/3 (* v v))))) -2) |
(fma.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (fma.f32 v v #s(literal 0 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)) |
u |
(+ 2 (+ (/ 2 v) (/ 4/3 (* v v)))) |
(+.f32 (/.f32 #s(literal 4/3 binary32) (fma.f32 v v #s(literal 0 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) |
2 |
#s(literal 2 binary32) |
(+ (/ 2 v) (/ 4/3 (* v v))) |
(+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (fma.f32 v v #s(literal 0 binary32)))) |
(/ 2 v) |
(/.f32 #s(literal 2 binary32) v) |
v |
(/ 4/3 (* v v)) |
(/.f32 #s(literal 4/3 binary32) (fma.f32 v v #s(literal 0 binary32))) |
4/3 |
#s(literal 4/3 binary32) |
(* v v) |
(fma.f32 v v #s(literal 0 binary32)) |
-2 |
#s(literal -2 binary32) |
(+ 1 (* v (/ (- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) (neg v)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (/.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal -2/3 binary32) v)) v) (fma.f32 u #s(literal -2 binary32) #s(literal 0 binary32))) v)))) |
1 |
#s(literal 1 binary32) |
(* v (/ (- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) (neg v))) |
(fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (/.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal -2/3 binary32) v)) v) (fma.f32 u #s(literal -2 binary32) #s(literal 0 binary32))) v))) |
v |
(/ (- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) (neg v)) |
(/.f32 (fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (/.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal -2/3 binary32) v)) v) (fma.f32 u #s(literal -2 binary32) #s(literal 0 binary32))) v))) v) |
(- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) |
(+.f32 #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u (/.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal -2/3 binary32) v)) v) (fma.f32 u #s(literal -2 binary32) #s(literal 0 binary32))) v))) |
(+ (* u -2) 2) |
(fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) |
u |
-2 |
#s(literal -2 binary32) |
2 |
#s(literal 2 binary32) |
(/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v) |
(/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (*.f32 u (+.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 #s(literal -2/3 binary32) v)))) v)) v) |
(+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) |
(fma.f32 u #s(literal 2 binary32) (/.f32 (*.f32 u (+.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 #s(literal -2/3 binary32) v)))) v)) |
(/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v)) |
(/.f32 (*.f32 u (+.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 #s(literal -2/3 binary32) v)))) v) |
(+ (* u -4/3) (* (/ u v) -2/3)) |
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal -2/3 binary32) v))) |
-4/3 |
#s(literal -4/3 binary32) |
(* (/ u v) -2/3) |
(*.f32 (/.f32 u v) #s(literal -2/3 binary32)) |
(/ u v) |
(/.f32 u v) |
-2/3 |
#s(literal -2/3 binary32) |
(neg v) |
(neg.f32 v) |
(+ 1 (* v (/ (+ (* 1/6 (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) (* v v))) (+ (* 1/2 (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))) (+ (* u 2) -2))) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal 16 binary32) #s(literal 8 binary32)) #s(literal -8 binary32)) (/.f32 #s(literal 1/6 binary32) (fma.f32 v v #s(literal 0 binary32)))) (fma.f32 (/.f32 (fma.f32 u #s(literal 4 binary32) #s(literal 0 binary32)) v) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/2 binary32)) #s(literal -2 binary32))))) |
1 |
#s(literal 1 binary32) |
(* v (/ (+ (* 1/6 (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) (* v v))) (+ (* 1/2 (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))) (+ (* u 2) -2))) v)) |
(fma.f32 u #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal 16 binary32) #s(literal 8 binary32)) #s(literal -8 binary32)) (/.f32 #s(literal 1/6 binary32) (fma.f32 v v #s(literal 0 binary32)))) (fma.f32 (/.f32 (fma.f32 u #s(literal 4 binary32) #s(literal 0 binary32)) v) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/2 binary32)) #s(literal -2 binary32)))) |
v |
(/ (+ (* 1/6 (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) (* v v))) (+ (* 1/2 (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))) (+ (* u 2) -2))) v) |
(/.f32 (fma.f32 u #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal 16 binary32) #s(literal 8 binary32)) #s(literal -8 binary32)) (/.f32 #s(literal 1/6 binary32) (fma.f32 v v #s(literal 0 binary32)))) (fma.f32 (/.f32 (fma.f32 u #s(literal 4 binary32) #s(literal 0 binary32)) v) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/2 binary32)) #s(literal -2 binary32)))) v) |
(+ (* 1/6 (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) (* v v))) (+ (* 1/2 (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))) (+ (* u 2) -2))) |
(fma.f32 u #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal 16 binary32) #s(literal 8 binary32)) #s(literal -8 binary32)) (/.f32 #s(literal 1/6 binary32) (fma.f32 v v #s(literal 0 binary32)))) (fma.f32 (/.f32 (fma.f32 u #s(literal 4 binary32) #s(literal 0 binary32)) v) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/2 binary32)) #s(literal -2 binary32)))) |
1/6 |
#s(literal 1/6 binary32) |
(/ (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) (* v v)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal 16 binary32) #s(literal 8 binary32)) #s(literal -8 binary32))) (fma.f32 v v #s(literal 0 binary32))) |
(+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal 16 binary32) #s(literal 8 binary32)) #s(literal -8 binary32))) |
(* (- 1 u) (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
u |
(+ (* (- 1 u) -16) 24) |
(fma.f32 u #s(literal 16 binary32) #s(literal 8 binary32)) |
-16 |
#s(literal -16 binary32) |
24 |
#s(literal 24 binary32) |
(* (- 1 u) -8) |
(fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)) |
-8 |
#s(literal -8 binary32) |
(* v v) |
(fma.f32 v v #s(literal 0 binary32)) |
(+ (* 1/2 (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))) (+ (* u 2) -2)) |
(fma.f32 u #s(literal 2 binary32) (fma.f32 (/.f32 (fma.f32 u #s(literal 4 binary32) #s(literal 0 binary32)) v) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/2 binary32)) #s(literal -2 binary32))) |
1/2 |
#s(literal 1/2 binary32) |
(* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v)) |
(/.f32 (*.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)) u) v) |
(/ (+ (* (- 1 u) -4) 4) v) |
(/.f32 (fma.f32 u #s(literal 4 binary32) #s(literal 0 binary32)) v) |
(+ (* (- 1 u) -4) 4) |
(fma.f32 u #s(literal 4 binary32) #s(literal 0 binary32)) |
-4 |
#s(literal -4 binary32) |
4 |
#s(literal 4 binary32) |
(+ (* u 2) -2) |
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) |
2 |
#s(literal 2 binary32) |
-2 |
#s(literal -2 binary32) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 97.9% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
| ✓ | accuracy | 84.6% | (*.f32 v (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v)) |
| ✓ | accuracy | 81.2% | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) |
| ✓ | accuracy | 76.7% | (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))) |
| ✓ | accuracy | 99.6% | (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v))) v) |
| ✓ | accuracy | 99.6% | (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v)) |
| ✓ | accuracy | 98.6% | (*.f32 (/.f32 u v) #s(literal -2/3 binary32)) |
| ✓ | accuracy | 91.3% | (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v))) v)) (neg.f32 v))) |
| ✓ | accuracy | 99.8% | (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
| ✓ | accuracy | 99.8% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
| ✓ | accuracy | 99.3% | (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
| ✓ | accuracy | 97.2% | (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)) |
| ✓ | accuracy | 99.9% | (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
| ✓ | accuracy | 99.8% | (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
| ✓ | accuracy | 99.8% | (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
| ✓ | accuracy | 99.7% | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| 285.0ms | 256× | 0 | valid |
Compiled 595 to 67 computations (88.7% saved)
ival-mult: 112.0ms (42.6% of total)const: 103.0ms (39.2% of total)ival-add: 19.0ms (7.2% of total)ival-div: 16.0ms (6.1% of total)ival-exp: 3.0ms (1.1% of total)ival-sub: 3.0ms (1.1% of total)ival-log: 3.0ms (1.1% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1)> |
#<alt (log (+ (* (- 1 u) (exp (/ -2 v))) u))> |
#<alt (+ (* (- 1 u) (exp (/ -2 v))) u)> |
#<alt (- 1 u)> |
#<alt (+ 1 (+ (* u (+ 2 (+ (/ 2 v) (/ 4/3 (* v v))))) -2))> |
#<alt (+ (* u (+ 2 (+ (/ 2 v) (/ 4/3 (* v v))))) -2)> |
#<alt (+ 2 (+ (/ 2 v) (/ 4/3 (* v v))))> |
#<alt (+ (/ 2 v) (/ 4/3 (* v v)))> |
#<alt (* v (/ (- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) (neg v)))> |
#<alt (+ (* u -4/3) (* (/ u v) -2/3))> |
#<alt (/ (- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) (neg v))> |
#<alt (- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v))> |
#<alt (* v (/ (+ (* 1/6 (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) (* v v))) (+ (* 1/2 (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))) (+ (* u 2) -2))) v))> |
#<alt (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8))> |
#<alt (+ (* (- 1 u) -16) 24)> |
#<alt (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))> |
#<alt (exp (/ -2 v))> |
#<alt (/ 4/3 (* v v))> |
#<alt (* (/ u v) -2/3)> |
#<alt (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))> |
#<alt (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)> |
#<alt (+ (* (- 1 u) -4) 4)> |
#<alt (+ (* 1/6 (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) (* v v))) (+ (* 1/2 (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))) (+ (* u 2) -2)))> |
| Outputs |
|---|
#<alt -1> |
#<alt (- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)> |
#<alt (- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)> |
#<alt (- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)> |
#<alt (+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))> |
#<alt (+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))> |
#<alt (+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))> |
#<alt (+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt 1> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))> |
#<alt (/ -2 v)> |
#<alt (- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))> |
#<alt (- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))> |
#<alt (- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (* -2 (/ (- 1 u) v))> |
#<alt (/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)> |
#<alt (/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)> |
#<alt (/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)> |
#<alt (* -2 (/ (- 1 u) v))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))> |
#<alt (exp (/ -2 v))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (* u (+ 1 (* -1 (exp (/ -2 v)))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* -1 (* u (- (exp (/ -2 v)) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (- 1 u) v)))> |
#<alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))> |
#<alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (- 1 u) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))> |
#<alt 1> |
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#<alt (+ 1 (* -1 u))> |
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#<alt (* -1 (* u (- 1 (/ 1 u))))> |
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#<alt (- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 1)> |
#<alt (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))> |
#<alt (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (/ 1 u)))> |
#<alt (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (/ 1 u)))> |
#<alt (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (/ 1 u)))> |
#<alt (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))> |
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#<alt (* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (/ 1 u))))> |
#<alt (* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (/ 1 u))))> |
#<alt (* 4/3 (/ u (pow v 2)))> |
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#<alt (- (* 2 u) 1)> |
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#<alt (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1)> |
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#<alt (- (* 2 u) 1)> |
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#<alt -2> |
#<alt (- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2)> |
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#<alt (- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2)> |
#<alt (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))> |
#<alt (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (* 2 (/ 1 u))))> |
#<alt (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (* 2 (/ 1 u))))> |
#<alt (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (* 2 (/ 1 u))))> |
#<alt (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))> |
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#<alt (* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (* 2 (/ 1 u)))))> |
#<alt (* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (* 2 (/ 1 u)))))> |
#<alt (* 4/3 (/ u (pow v 2)))> |
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#<alt (/ (+ (* 4/3 u) (* v (+ (* 2 u) (* v (- (* 2 u) 2))))) (pow v 2))> |
#<alt (- (* 2 u) 2)> |
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#<alt (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2)> |
#<alt (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2)> |
#<alt (- (* 2 u) 2)> |
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#<alt (- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 2)> |
#<alt (- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 2)> |
#<alt (/ 4/3 (pow v 2))> |
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#<alt (/ (+ 4/3 (* v (+ 2 (* 2 v)))) (pow v 2))> |
#<alt 2> |
#<alt (+ 2 (* 2 (/ 1 v)))> |
#<alt (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))> |
#<alt (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))> |
#<alt 2> |
#<alt (+ 2 (* 2 (/ 1 v)))> |
#<alt (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))> |
#<alt (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ (+ 4/3 (* 2 v)) (pow v 2))> |
#<alt (/ (+ 4/3 (* 2 v)) (pow v 2))> |
#<alt (/ (+ 4/3 (* 2 v)) (pow v 2))> |
#<alt (/ 2 v)> |
#<alt (/ (+ 2 (* 4/3 (/ 1 v))) v)> |
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#<alt (/ (+ 2 (* 4/3 (/ 1 v))) v)> |
#<alt (/ 2 v)> |
#<alt (/ (+ 2 (* 4/3 (/ 1 v))) v)> |
#<alt (/ (+ 2 (* 4/3 (/ 1 v))) v)> |
#<alt (/ (+ 2 (* 4/3 (/ 1 v))) v)> |
#<alt (* 2/3 (/ u (pow v 3)))> |
#<alt (/ (+ (* 2/3 u) (* 4/3 (* u v))) (pow v 3))> |
#<alt (/ (+ (* 2/3 u) (* v (+ (* 4/3 u) (* 2 (* u v))))) (pow v 3))> |
#<alt (/ (+ (* 2/3 u) (* v (+ (* 4/3 u) (* v (+ (* -1 (* v (+ 2 (* -2 u)))) (* 2 u)))))) (pow v 3))> |
#<alt (* -1 (+ 2 (* -2 u)))> |
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#<alt (+ (* -1 (+ 2 (* -2 u))) (+ (* 4/3 (/ u (pow v 2))) (* 2 (/ u v))))> |
#<alt (+ (* -1 (+ 2 (* -2 u))) (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (* 2 (/ u v)))))> |
#<alt (* -1 (+ 2 (* -2 u)))> |
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#<alt (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)))> |
#<alt -2> |
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#<alt (- (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2)> |
#<alt (- (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2)> |
#<alt (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))))> |
#<alt (* u (- (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (* 2 (/ 1 u))))> |
#<alt (* u (- (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (* 2 (/ 1 u))))> |
#<alt (* u (- (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (* 2 (/ 1 u))))> |
#<alt (* u (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2)))))> |
#<alt (* -1 (* u (+ (* -1 (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))))) (* 2 (/ 1 u)))))> |
#<alt (* -1 (* u (+ (* -1 (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))))) (* 2 (/ 1 u)))))> |
#<alt (* -1 (* u (+ (* -1 (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))))) (* 2 (/ 1 u)))))> |
#<alt (* -1 (* u (+ 4/3 (* 2/3 (/ 1 v)))))> |
#<alt (* -1 (* u (+ 4/3 (* 2/3 (/ 1 v)))))> |
#<alt (* -1 (* u (+ 4/3 (* 2/3 (/ 1 v)))))> |
#<alt (* -1 (* u (+ 4/3 (* 2/3 (/ 1 v)))))> |
#<alt (* -1 (* u (+ 4/3 (* 2/3 (/ 1 v)))))> |
#<alt (* -1 (* u (+ 4/3 (* 2/3 (/ 1 v)))))> |
#<alt (* -1 (* u (+ 4/3 (* 2/3 (/ 1 v)))))> |
#<alt (* -1 (* u (+ 4/3 (* 2/3 (/ 1 v)))))> |
#<alt (* -1 (* u (+ 4/3 (* 2/3 (/ 1 v)))))> |
#<alt (* -1 (* u (+ 4/3 (* 2/3 (/ 1 v)))))> |
#<alt (* -1 (* u (+ 4/3 (* 2/3 (/ 1 v)))))> |
#<alt (* -1 (* u (+ 4/3 (* 2/3 (/ 1 v)))))> |
#<alt (* -2/3 (/ u v))> |
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#<alt (/ (+ (* -4/3 (* u v)) (* -2/3 u)) v)> |
#<alt (* -4/3 u)> |
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#<alt (* -4/3 u)> |
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#<alt (+ (* -4/3 u) (* -2/3 (/ u v)))> |
#<alt (/ -2 v)> |
#<alt (- (* u (+ (* 2/3 (/ 1 (pow v 4))) (+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* 4/3 (/ 1 (pow v 3))))))) (* 2 (/ 1 v)))> |
#<alt (- (* u (+ (* 2/3 (/ 1 (pow v 4))) (+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* 4/3 (/ 1 (pow v 3))))))) (* 2 (/ 1 v)))> |
#<alt (- (* u (+ (* 2/3 (/ 1 (pow v 4))) (+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* 4/3 (/ 1 (pow v 3))))))) (* 2 (/ 1 v)))> |
#<alt (/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) v)> |
#<alt (* u (- (+ (/ 2/3 (pow v 4)) (+ (* 2 (/ 1 v)) (+ (/ 4/3 (pow v 3)) (/ 2 (pow v 2))))) (* 2 (/ 1 (* u v)))))> |
#<alt (* u (- (+ (/ 2/3 (pow v 4)) (+ (* 2 (/ 1 v)) (+ (/ 4/3 (pow v 3)) (/ 2 (pow v 2))))) (* 2 (/ 1 (* u v)))))> |
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#<alt (/ (* u (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))))) v)> |
#<alt (* -1 (* u (+ (* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2)))) v)) (* 2 (/ 1 (* u v))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2)))) v)) (* 2 (/ 1 (* u v))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2)))) v)) (* 2 (/ 1 (* u v))))))> |
#<alt (* 2/3 (/ u (pow v 4)))> |
#<alt (/ (+ (* 2/3 u) (* 4/3 (* u v))) (pow v 4))> |
#<alt (/ (+ (* 2/3 u) (* v (+ (* 4/3 u) (* 2 (* u v))))) (pow v 4))> |
#<alt (/ (+ (* 2/3 u) (* v (+ (* 4/3 u) (* v (+ (* -1 (* v (+ 2 (* -2 u)))) (* 2 u)))))) (pow v 4))> |
#<alt (* -1 (/ (+ 2 (* -2 u)) v))> |
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#<alt (/ (+ (* -1 (+ 2 (* -2 u))) (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (* 2 (/ u v))))) v)> |
#<alt (* -1 (/ (+ 2 (* -2 u)) v))> |
#<alt (* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v))> |
#<alt (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v))> |
#<alt (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v))> |
#<alt 2> |
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#<alt (+ 2 (* -1 (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))))))> |
#<alt (+ 2 (* -1 (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))))))> |
#<alt (* -1 (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))))> |
#<alt (* u (- (* 2 (/ 1 u)) (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))))> |
#<alt (* u (- (* 2 (/ 1 u)) (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))))> |
#<alt (* u (- (* 2 (/ 1 u)) (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))))> |
#<alt (* -1 (* u (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))))))> |
#<alt (* -1 (* u (- (+ 2 (* 2 (/ 1 v))) (+ (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))) (* 2 (/ 1 u))))))> |
#<alt (* -1 (* u (- (+ 2 (* 2 (/ 1 v))) (+ (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))) (* 2 (/ 1 u))))))> |
#<alt (* -1 (* u (- (+ 2 (* 2 (/ 1 v))) (+ (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))) (* 2 (/ 1 u))))))> |
#<alt (* -2/3 (/ u (pow v 3)))> |
#<alt (/ (- (* -4/3 (* u v)) (* 2/3 u)) (pow v 3))> |
#<alt (/ (- (* v (- (* -2 (* u v)) (* 4/3 u))) (* 2/3 u)) (pow v 3))> |
#<alt (/ (- (* v (- (* v (- (* v (+ 2 (* -2 u))) (* 2 u))) (* 4/3 u))) (* 2/3 u)) (pow v 3))> |
#<alt (+ 2 (* -2 u))> |
#<alt (+ 2 (+ (* -2 u) (* -2 (/ u v))))> |
#<alt (- (+ 2 (+ (* -2 u) (* -4/3 (/ u (pow v 2))))) (* 2 (/ u v)))> |
#<alt (- (+ 2 (+ (* -2 u) (* -2/3 (/ u (pow v 3))))) (+ (* 4/3 (/ u (pow v 2))) (* 2 (/ u v))))> |
#<alt (+ 2 (* -2 u))> |
#<alt (+ 2 (+ (* -2 u) (* -2 (/ u v))))> |
#<alt (+ 2 (+ (* -2 u) (* -1 (/ (- (* 4/3 (/ u v)) (* -2 u)) v))))> |
#<alt (+ 2 (+ (* -2 u) (* -1 (/ (- (* -1 (/ (- (* -2/3 (/ u v)) (* 4/3 u)) v)) (* -2 u)) v))))> |
#<alt (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2)))> |
#<alt (/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2))> |
#<alt (/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))))) (pow v 2))> |
#<alt (/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))))) (pow v 2))> |
#<alt (- (* 2 u) 2)> |
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#<alt (- (+ (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 2)> |
#<alt (- (+ (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 2)> |
#<alt (- (* 2 u) 2)> |
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#<alt (- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) v))) v)) (* 2 u)) 2)> |
#<alt -2> |
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#<alt (* 8/3 (/ (pow u 3) (pow v 2)))> |
#<alt (* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))> |
#<alt (* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))> |
#<alt (* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (* 2 (/ 1 (pow u 3))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))))> |
#<alt (* 8/3 (/ (pow u 3) (pow v 2)))> |
#<alt (* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* 8 u)> |
#<alt (* u (+ 8 (* -24 u)))> |
#<alt (* u (+ 8 (* u (- (* 16 u) 24))))> |
#<alt (* u (+ 8 (* u (- (* 16 u) 24))))> |
#<alt (* 16 (pow u 3))> |
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#<alt (* (pow u 3) (- (+ 16 (/ 8 (pow u 2))) (* 24 (/ 1 u))))> |
#<alt (* (pow u 3) (- (+ 16 (/ 8 (pow u 2))) (* 24 (/ 1 u))))> |
#<alt (* 16 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- (* 24 (/ 1 u)) 16)))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 u)) 24) u)) 16)))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 u)) 24) u)) 16)))> |
#<alt 8> |
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#<alt (+ 8 (* 16 u))> |
#<alt (+ 8 (* 16 u))> |
#<alt (* 16 u)> |
#<alt (* u (+ 16 (* 8 (/ 1 u))))> |
#<alt (* u (+ 16 (* 8 (/ 1 u))))> |
#<alt (* u (+ 16 (* 8 (/ 1 u))))> |
#<alt (* 16 u)> |
#<alt (* u (+ 16 (* 8 (/ 1 u))))> |
#<alt (* u (+ 16 (* 8 (/ 1 u))))> |
#<alt (* u (+ 16 (* 8 (/ 1 u))))> |
#<alt (* 4 (/ u v))> |
#<alt (* u (+ (* -4 (/ u v)) (* 4 (/ 1 v))))> |
#<alt (* u (+ (* -4 (/ u v)) (* 4 (/ 1 v))))> |
#<alt (* u (+ (* -4 (/ u v)) (* 4 (/ 1 v))))> |
#<alt (* -4 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))> |
#<alt (* -4 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))> |
#<alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)> |
#<alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)> |
#<alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)> |
#<alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)> |
#<alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)> |
#<alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)> |
#<alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)> |
#<alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)> |
#<alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)> |
#<alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)> |
#<alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)> |
#<alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 v)))> |
#<alt (- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))> |
#<alt (- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 v)))> |
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))> |
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (* -2/3 (/ u v))> |
#<alt (/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v)> |
#<alt (/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v)> |
#<alt (/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v)> |
#<alt (/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v)> |
#<alt (/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v)> |
#<alt (/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v)> |
#<alt (/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v)> |
#<alt (/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v)> |
#<alt (/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v)> |
#<alt (/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v)> |
#<alt (/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v)> |
#<alt (/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v)> |
#<alt (* 2/3 (/ u (pow v 2)))> |
#<alt (/ (+ (* 2/3 u) (* 4/3 (* u v))) (pow v 2))> |
#<alt (/ (+ (* 2/3 u) (* 4/3 (* u v))) (pow v 2))> |
#<alt (/ (+ (* 2/3 u) (* 4/3 (* u v))) (pow v 2))> |
#<alt (* 4/3 (/ u v))> |
#<alt (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v)> |
#<alt (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v)> |
#<alt (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v)> |
#<alt (* 4/3 (/ u v))> |
#<alt (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v))> |
#<alt (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v))> |
#<alt (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v))> |
#<alt (/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v)> |
#<alt (/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v)> |
#<alt (/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v)> |
#<alt (/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v)> |
#<alt (/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v)> |
#<alt (/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v)> |
#<alt (/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v)> |
#<alt (/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v)> |
#<alt (* -1 (/ (* u (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2)) v))> |
#<alt (* -1 (/ (* u (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2)) v))> |
#<alt (* -1 (/ (* u (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2)) v))> |
#<alt (* -1 (/ (* u (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2)) v))> |
#<alt (* 2/3 (/ u (pow v 3)))> |
#<alt (/ (+ (* 2/3 u) (* 4/3 (* u v))) (pow v 3))> |
#<alt (/ (+ (* 2/3 u) (* v (+ (* 4/3 u) (* 2 (* u v))))) (pow v 3))> |
#<alt (/ (+ (* 2/3 u) (* v (+ (* 4/3 u) (* 2 (* u v))))) (pow v 3))> |
#<alt (* 2 (/ u v))> |
#<alt (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)> |
#<alt (/ (+ (* 2/3 (/ u (pow v 2))) (+ (* 4/3 (/ u v)) (* 2 u))) v)> |
#<alt (/ (+ (* 2/3 (/ u (pow v 2))) (+ (* 4/3 (/ u v)) (* 2 u))) v)> |
#<alt (* 2 (/ u v))> |
#<alt (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v))> |
#<alt (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v))> |
#<alt (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v))> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt -2> |
#<alt (- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2)> |
#<alt (- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2)> |
#<alt (- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 2)> |
#<alt (* 8/3 (/ (pow u 3) (pow v 2)))> |
#<alt (* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))> |
#<alt (* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))> |
#<alt (* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (* 2 (/ 1 (pow u 3))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))))> |
#<alt (* 8/3 (/ (pow u 3) (pow v 2)))> |
#<alt (* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2)))> |
#<alt (/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2))> |
#<alt (/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))))) (pow v 2))> |
#<alt (/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))))) (pow v 2))> |
#<alt (- (* 2 u) 2)> |
#<alt (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2)> |
#<alt (- (+ (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 2)> |
#<alt (- (+ (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 2)> |
#<alt (- (* 2 u) 2)> |
#<alt (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2)> |
#<alt (- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) v))) v)) (* 2 u)) 2)> |
#<alt (- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) v))) v)) (* 2 u)) 2)> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | inf | (* v (/ (- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) (neg v))) |
| 2.0ms | u | @ | -inf | (+ 1 (+ (* u (+ 2 (+ (/ 2 v) (/ 4/3 (* v v))))) -2)) |
| 1.0ms | u | @ | inf | (* v (/ (- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) (neg v))) |
| 1.0ms | u | @ | inf | (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v) |
| 1.0ms | u | @ | 0 | (* v (/ (- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) (neg v))) |
| 1× | batch-egg-rewrite |
| 4 584× | *-lowering-*.f32 |
| 4 584× | *-lowering-*.f64 |
| 3 860× | accelerator-lowering-fma.f32 |
| 3 860× | accelerator-lowering-fma.f64 |
| 3 464× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 368 |
| 1 | 408 | 356 |
| 2 | 4432 | 354 |
| 0 | 8713 | 318 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) |
(log (+ (* (- 1 u) (exp (/ -2 v))) u)) |
(+ (* (- 1 u) (exp (/ -2 v))) u) |
(- 1 u) |
(+ 1 (+ (* u (+ 2 (+ (/ 2 v) (/ 4/3 (* v v))))) -2)) |
(+ (* u (+ 2 (+ (/ 2 v) (/ 4/3 (* v v))))) -2) |
(+ 2 (+ (/ 2 v) (/ 4/3 (* v v)))) |
(+ (/ 2 v) (/ 4/3 (* v v))) |
(* v (/ (- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) (neg v))) |
(+ (* u -4/3) (* (/ u v) -2/3)) |
(/ (- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) (neg v)) |
(- (+ (* u -2) 2) (/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v)) |
(* v (/ (+ (* 1/6 (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) (* v v))) (+ (* 1/2 (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))) (+ (* u 2) -2))) v)) |
(+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) |
(+ (* (- 1 u) -16) 24) |
(* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v)) |
(exp (/ -2 v)) |
(/ 4/3 (* v v)) |
(* (/ u v) -2/3) |
(/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v)) |
(/ (+ (* u 2) (/ (+ (* u -4/3) (* (/ u v) -2/3)) (neg v))) v) |
(+ (* (- 1 u) -4) 4) |
(+ (* 1/6 (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) (* (- 1 u) -8)) (* v v))) (+ (* 1/2 (* (- 1 u) (/ (+ (* (- 1 u) -4) 4) v))) (+ (* u 2) -2))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) |
(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal -1 binary32)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) |
(fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
(fma.f32 v (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (*.f32 v #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32) #s(literal 1 binary32)) |
(-.f32 (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) (fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal -1 binary32)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) #s(literal -1 binary32)))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) #s(literal -1 binary32)) (fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal -1 binary32))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal -1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))))) |
(*.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal -1 binary32)))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u)))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (neg.f32 (*.f32 u u)))))) |
(+.f32 (log.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))))))) |
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(*.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))))) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 v (*.f32 v v))))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (*.f32 v v))) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))))) (*.f32 (*.f32 v v) (*.f32 v v)))))) |
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))))) (*.f32 (*.f32 v v) (*.f32 v v))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))))) |
| 1× | egg-herbie |
| 10 818× | accelerator-lowering-fma.f32 |
| 10 818× | accelerator-lowering-fma.f64 |
| 5 314× | +-lowering-+.f64 |
| 5 314× | +-lowering-+.f32 |
| 4 846× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 727 | 7263 |
| 1 | 2160 | 6985 |
| 2 | 7027 | 6916 |
| 0 | 8605 | 6420 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
1 |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
(/ -2 v) |
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1)))))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(* -2 (/ (- 1 u) v)) |
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v) |
(* -2 (/ (- 1 u) v)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
1 |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) |
1 |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
1 |
(+ 1 (* -1 u)) |
(+ 1 (* -1 u)) |
(+ 1 (* -1 u)) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ 1 u) 1)) |
(* -1 u) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
-1 |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 1) |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 1) |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 1) |
(* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) |
(* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (/ 1 u))) |
(* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (/ 1 u))) |
(* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (/ 1 u))) |
(* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) |
(* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (/ 1 u)))) |
(* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (/ 1 u)))) |
(* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (/ 1 u)))) |
(* 4/3 (/ u (pow v 2))) |
(/ (+ (* 4/3 u) (* 2 (* u v))) (pow v 2)) |
(/ (+ (* 4/3 u) (* v (+ (* 2 u) (* v (- (* 2 u) 1))))) (pow v 2)) |
(/ (+ (* 4/3 u) (* v (+ (* 2 u) (* v (- (* 2 u) 1))))) (pow v 2)) |
(- (* 2 u) 1) |
(- (+ (* 2 u) (* 2 (/ u v))) 1) |
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1) |
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1) |
(- (* 2 u) 1) |
(- (+ (* 2 u) (* 2 (/ u v))) 1) |
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 1) |
-2 |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2) |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2) |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2) |
(* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) |
(* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (* 2 (/ 1 u)))) |
(* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (* 2 (/ 1 u)))) |
(* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (* 2 (/ 1 u)))) |
(* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) |
(* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (* 2 (/ 1 u))))) |
(* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (* 2 (/ 1 u))))) |
(* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (* 2 (/ 1 u))))) |
(* 4/3 (/ u (pow v 2))) |
(/ (+ (* 4/3 u) (* 2 (* u v))) (pow v 2)) |
(/ (+ (* 4/3 u) (* v (+ (* 2 u) (* v (- (* 2 u) 2))))) (pow v 2)) |
(/ (+ (* 4/3 u) (* v (+ (* 2 u) (* v (- (* 2 u) 2))))) (pow v 2)) |
(- (* 2 u) 2) |
(- (+ (* 2 u) (* 2 (/ u v))) 2) |
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2) |
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2) |
(- (* 2 u) 2) |
(- (+ (* 2 u) (* 2 (/ u v))) 2) |
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 2) |
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(/ 4/3 (pow v 2)) |
(/ (+ 4/3 (* 2 v)) (pow v 2)) |
(/ (+ 4/3 (* v (+ 2 (* 2 v)))) (pow v 2)) |
(/ (+ 4/3 (* v (+ 2 (* 2 v)))) (pow v 2)) |
2 |
(+ 2 (* 2 (/ 1 v))) |
(+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) |
(+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) |
2 |
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(/ 4/3 (pow v 2)) |
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(/ 2 v) |
(/ (+ 2 (* 4/3 (/ 1 v))) v) |
(/ (+ 2 (* 4/3 (/ 1 v))) v) |
(/ (+ 2 (* 4/3 (/ 1 v))) v) |
(/ 2 v) |
(/ (+ 2 (* 4/3 (/ 1 v))) v) |
(/ (+ 2 (* 4/3 (/ 1 v))) v) |
(/ (+ 2 (* 4/3 (/ 1 v))) v) |
(* 2/3 (/ u (pow v 3))) |
(/ (+ (* 2/3 u) (* 4/3 (* u v))) (pow v 3)) |
(/ (+ (* 2/3 u) (* v (+ (* 4/3 u) (* 2 (* u v))))) (pow v 3)) |
(/ (+ (* 2/3 u) (* v (+ (* 4/3 u) (* v (+ (* -1 (* v (+ 2 (* -2 u)))) (* 2 u)))))) (pow v 3)) |
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-2 |
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(* u (- (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (* 2 (/ 1 u)))) |
(* u (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))))) |
(* -1 (* u (+ (* -1 (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))))) (* 2 (/ 1 u))))) |
(* -1 (* u (+ (* -1 (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))))) (* 2 (/ 1 u))))) |
(* -1 (* u (+ (* -1 (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))))) (* 2 (/ 1 u))))) |
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(+ (* -4/3 u) (* -2/3 (/ u v))) |
(/ -2 v) |
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(/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) v) |
(* u (- (+ (/ 2/3 (pow v 4)) (+ (* 2 (/ 1 v)) (+ (/ 4/3 (pow v 3)) (/ 2 (pow v 2))))) (* 2 (/ 1 (* u v))))) |
(* u (- (+ (/ 2/3 (pow v 4)) (+ (* 2 (/ 1 v)) (+ (/ 4/3 (pow v 3)) (/ 2 (pow v 2))))) (* 2 (/ 1 (* u v))))) |
(* u (- (+ (/ 2/3 (pow v 4)) (+ (* 2 (/ 1 v)) (+ (/ 4/3 (pow v 3)) (/ 2 (pow v 2))))) (* 2 (/ 1 (* u v))))) |
(/ (* u (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))))) v) |
(* -1 (* u (+ (* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2)))) v)) (* 2 (/ 1 (* u v)))))) |
(* -1 (* u (+ (* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2)))) v)) (* 2 (/ 1 (* u v)))))) |
(* -1 (* u (+ (* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2)))) v)) (* 2 (/ 1 (* u v)))))) |
(* 2/3 (/ u (pow v 4))) |
(/ (+ (* 2/3 u) (* 4/3 (* u v))) (pow v 4)) |
(/ (+ (* 2/3 u) (* v (+ (* 4/3 u) (* 2 (* u v))))) (pow v 4)) |
(/ (+ (* 2/3 u) (* v (+ (* 4/3 u) (* v (+ (* -1 (* v (+ 2 (* -2 u)))) (* 2 u)))))) (pow v 4)) |
(* -1 (/ (+ 2 (* -2 u)) v)) |
(/ (+ (* -1 (+ 2 (* -2 u))) (* 2 (/ u v))) v) |
(/ (+ (* -1 (+ 2 (* -2 u))) (+ (* 4/3 (/ u (pow v 2))) (* 2 (/ u v)))) v) |
(/ (+ (* -1 (+ 2 (* -2 u))) (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (* 2 (/ u v))))) v) |
(* -1 (/ (+ 2 (* -2 u)) v)) |
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(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v)) |
2 |
(+ 2 (* -1 (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))))) |
(+ 2 (* -1 (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))))) |
(+ 2 (* -1 (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))))) |
(* -1 (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))))) |
(* u (- (* 2 (/ 1 u)) (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))))) |
(* u (- (* 2 (/ 1 u)) (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))))) |
(* u (- (* 2 (/ 1 u)) (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))))) |
(* -1 (* u (- (+ 2 (* 2 (/ 1 v))) (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2)))))) |
(* -1 (* u (- (+ 2 (* 2 (/ 1 v))) (+ (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))) (* 2 (/ 1 u)))))) |
(* -1 (* u (- (+ 2 (* 2 (/ 1 v))) (+ (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))) (* 2 (/ 1 u)))))) |
(* -1 (* u (- (+ 2 (* 2 (/ 1 v))) (+ (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) (pow v 2))) (* 2 (/ 1 u)))))) |
(* -2/3 (/ u (pow v 3))) |
(/ (- (* -4/3 (* u v)) (* 2/3 u)) (pow v 3)) |
(/ (- (* v (- (* -2 (* u v)) (* 4/3 u))) (* 2/3 u)) (pow v 3)) |
(/ (- (* v (- (* v (- (* v (+ 2 (* -2 u))) (* 2 u))) (* 4/3 u))) (* 2/3 u)) (pow v 3)) |
(+ 2 (* -2 u)) |
(+ 2 (+ (* -2 u) (* -2 (/ u v)))) |
(- (+ 2 (+ (* -2 u) (* -4/3 (/ u (pow v 2))))) (* 2 (/ u v))) |
(- (+ 2 (+ (* -2 u) (* -2/3 (/ u (pow v 3))))) (+ (* 4/3 (/ u (pow v 2))) (* 2 (/ u v)))) |
(+ 2 (* -2 u)) |
(+ 2 (+ (* -2 u) (* -2 (/ u v)))) |
(+ 2 (+ (* -2 u) (* -1 (/ (- (* 4/3 (/ u v)) (* -2 u)) v)))) |
(+ 2 (+ (* -2 u) (* -1 (/ (- (* -1 (/ (- (* -2/3 (/ u v)) (* 4/3 u)) v)) (* -2 u)) v)))) |
(* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) |
(/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2)) |
(/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))))) (pow v 2)) |
(/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))))) (pow v 2)) |
(- (* 2 u) 2) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
(- (+ (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 2) |
(- (+ (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 2) |
(- (* 2 u) 2) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
(- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) v))) v)) (* 2 u)) 2) |
(- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) v))) v)) (* 2 u)) 2) |
-2 |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2) |
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2) |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 2) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (* 2 (/ 1 (pow u 3))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* 8 u) |
(* u (+ 8 (* -24 u))) |
(* u (+ 8 (* u (- (* 16 u) 24)))) |
(* u (+ 8 (* u (- (* 16 u) 24)))) |
(* 16 (pow u 3)) |
(* (pow u 3) (- 16 (* 24 (/ 1 u)))) |
(* (pow u 3) (- (+ 16 (/ 8 (pow u 2))) (* 24 (/ 1 u)))) |
(* (pow u 3) (- (+ 16 (/ 8 (pow u 2))) (* 24 (/ 1 u)))) |
(* 16 (pow u 3)) |
(* -1 (* (pow u 3) (- (* 24 (/ 1 u)) 16))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 u)) 24) u)) 16))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 u)) 24) u)) 16))) |
8 |
(+ 8 (* 16 u)) |
(+ 8 (* 16 u)) |
(+ 8 (* 16 u)) |
(* 16 u) |
(* u (+ 16 (* 8 (/ 1 u)))) |
(* u (+ 16 (* 8 (/ 1 u)))) |
(* u (+ 16 (* 8 (/ 1 u)))) |
(* 16 u) |
(* u (+ 16 (* 8 (/ 1 u)))) |
(* u (+ 16 (* 8 (/ 1 u)))) |
(* u (+ 16 (* 8 (/ 1 u)))) |
(* 4 (/ u v)) |
(* u (+ (* -4 (/ u v)) (* 4 (/ 1 v)))) |
(* u (+ (* -4 (/ u v)) (* 4 (/ 1 v)))) |
(* u (+ (* -4 (/ u v)) (* 4 (/ 1 v)))) |
(* -4 (/ (pow u 2) v)) |
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v)))) |
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v)))) |
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v)))) |
(* -4 (/ (pow u 2) v)) |
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v)))) |
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v)))) |
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v)))) |
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) |
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) |
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) |
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) |
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) |
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) |
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) |
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) |
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) |
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) |
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) |
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
1 |
(- 1 (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
1 |
(- 1 (* 2 (/ 1 v))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(* -2/3 (/ u v)) |
(/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v) |
(/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v) |
(/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v) |
(/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v) |
(/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v) |
(/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v) |
(/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v) |
(/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v) |
(/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v) |
(/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v) |
(/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v) |
(/ (* u (+ 4/3 (* 2/3 (/ 1 v)))) v) |
(* 2/3 (/ u (pow v 2))) |
(/ (+ (* 2/3 u) (* 4/3 (* u v))) (pow v 2)) |
(/ (+ (* 2/3 u) (* 4/3 (* u v))) (pow v 2)) |
(/ (+ (* 2/3 u) (* 4/3 (* u v))) (pow v 2)) |
(* 4/3 (/ u v)) |
(/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v) |
(/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v) |
(/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v) |
(* 4/3 (/ u v)) |
(* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) |
(* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) |
(* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) |
(/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v) |
(/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v) |
(/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v) |
(/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v) |
(/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v) |
(/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v) |
(/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v) |
(/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v) |
(* -1 (/ (* u (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2)) v)) |
(* -1 (/ (* u (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2)) v)) |
(* -1 (/ (* u (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2)) v)) |
(* -1 (/ (* u (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2)) v)) |
(* 2/3 (/ u (pow v 3))) |
(/ (+ (* 2/3 u) (* 4/3 (* u v))) (pow v 3)) |
(/ (+ (* 2/3 u) (* v (+ (* 4/3 u) (* 2 (* u v))))) (pow v 3)) |
(/ (+ (* 2/3 u) (* v (+ (* 4/3 u) (* 2 (* u v))))) (pow v 3)) |
(* 2 (/ u v)) |
(/ (+ (* 4/3 (/ u v)) (* 2 u)) v) |
(/ (+ (* 2/3 (/ u (pow v 2))) (+ (* 4/3 (/ u v)) (* 2 u))) v) |
(/ (+ (* 2/3 (/ u (pow v 2))) (+ (* 4/3 (/ u v)) (* 2 u))) v) |
(* 2 (/ u v)) |
(* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) |
(* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) |
(* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
-2 |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2) |
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2) |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 2) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (* 2 (/ 1 (pow u 3))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) |
(/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2)) |
(/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))))) (pow v 2)) |
(/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))))) (pow v 2)) |
(- (* 2 u) 2) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
(- (+ (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 2) |
(- (+ (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 2) |
(- (* 2 u) 2) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
(- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) v))) v)) (* 2 u)) 2) |
(- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) v))) v)) (* 2 u)) 2) |
| Outputs |
|---|
-1 |
#s(literal -1 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -1 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(fma.f32 u (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (*.f32 #s(literal -1/2 binary32) u) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32)) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(fma.f32 u (fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u v) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))))) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32)) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) #s(literal 1 binary32)) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal 1 binary32)) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (fma.f32 v (/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) #s(literal 1 binary32))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+.f32 (fma.f32 v (*.f32 #s(literal 1/3 binary32) (/.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 3 binary32)) (*.f32 u (*.f32 u u)))) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)))) (fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal 1 binary32))) |
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) #s(literal 1 binary32)) |
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (fma.f32 v (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #s(literal 1 binary32))) |
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(-.f32 (fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) #s(literal 1 binary32)) (/.f32 (fma.f32 v (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) #s(literal 1/2 binary32)) (*.f32 u (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (/.f32 (*.f32 v (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) u)) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(-.f32 (fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) #s(literal 1 binary32)) (/.f32 (fma.f32 v (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 v u)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (neg.f32 u))) u)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) |
(+ 1 (* -2 (- 1 u))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) |
(+.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -112 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 v (*.f32 v v))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))) |
(+ 1 (* -2 (- 1 u))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))) |
(-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (neg.f32 u) #s(literal 16 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)))))) v)) v)) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
(-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -112 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) v) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 16 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 4 binary32)))) (neg.f32 v))) v)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) |
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(fma.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 u (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal -2 binary32) v)) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(fma.f32 u (fma.f32 u (fma.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 (*.f32 #s(literal 1/3 binary32) u) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal -2 binary32) v)) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) |
(+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+.f32 (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) (fma.f32 #s(literal 1/3 binary32) (/.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 3 binary32)) (*.f32 u (*.f32 u u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) |
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) |
(-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1)))))) |
(-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 (neg.f32 (log.f32 (neg.f32 u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 u (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 u (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) u)) |
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#s(literal 2 binary32) |
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#s(literal -2 binary32) |
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(* u (- (+ (/ 2/3 (pow v 4)) (+ (* 2 (/ 1 v)) (+ (/ 4/3 (pow v 3)) (/ 2 (pow v 2))))) (* 2 (/ 1 (* u v))))) |
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2 |
#s(literal 2 binary32) |
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(- (* 2 u) 2) |
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(- (* 2 u) 2) |
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-2 |
#s(literal -2 binary32) |
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(*.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4/3 binary32) v) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) (/.f32 u v)) |
(/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v) |
(*.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4/3 binary32) v) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) (/.f32 u v)) |
(/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v) |
(*.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4/3 binary32) v) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) (/.f32 u v)) |
(/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v) |
(*.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4/3 binary32) v) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) (/.f32 u v)) |
(/ (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 2))) (* 4/3 (/ 1 v))))) v) |
(*.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4/3 binary32) v) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) (/.f32 u v)) |
(* -1 (/ (* u (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2)) v)) |
(neg.f32 (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) (/.f32 u v))) |
(* -1 (/ (* u (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2)) v)) |
(neg.f32 (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) (/.f32 u v))) |
(* -1 (/ (* u (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2)) v)) |
(neg.f32 (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) (/.f32 u v))) |
(* -1 (/ (* u (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2)) v)) |
(neg.f32 (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) (/.f32 u v))) |
(* 2/3 (/ u (pow v 3))) |
(/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))) |
(/ (+ (* 2/3 u) (* 4/3 (* u v))) (pow v 3)) |
(/.f32 (fma.f32 u #s(literal 2/3 binary32) (*.f32 v (*.f32 u #s(literal 4/3 binary32)))) (*.f32 v (*.f32 v v))) |
(/ (+ (* 2/3 u) (* v (+ (* 4/3 u) (* 2 (* u v))))) (pow v 3)) |
(/.f32 (fma.f32 u #s(literal 2/3 binary32) (*.f32 v (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))))) (*.f32 v (*.f32 v v))) |
(/ (+ (* 2/3 u) (* v (+ (* 4/3 u) (* 2 (* u v))))) (pow v 3)) |
(/.f32 (fma.f32 u #s(literal 2/3 binary32) (*.f32 v (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))))) (*.f32 v (*.f32 v v))) |
(* 2 (/ u v)) |
(/.f32 (*.f32 u #s(literal 2 binary32)) v) |
(/ (+ (* 4/3 (/ u v)) (* 2 u)) v) |
(/.f32 (fma.f32 u (/.f32 #s(literal 4/3 binary32) v) (*.f32 u #s(literal 2 binary32))) v) |
(/ (+ (* 2/3 (/ u (pow v 2))) (+ (* 4/3 (/ u v)) (* 2 u))) v) |
(*.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4/3 binary32) v) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) (/.f32 u v)) |
(/ (+ (* 2/3 (/ u (pow v 2))) (+ (* 4/3 (/ u v)) (* 2 u))) v) |
(*.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4/3 binary32) v) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) (/.f32 u v)) |
(* 2 (/ u v)) |
(/.f32 (*.f32 u #s(literal 2 binary32)) v) |
(* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) |
(/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) (neg.f32 v)) |
(* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) |
(/.f32 (fma.f32 u #s(literal -2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)) v) u)) (neg.f32 v)) |
(* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) |
(/.f32 (fma.f32 u #s(literal -2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)) v) u)) (neg.f32 v)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
-2 |
#s(literal -2 binary32) |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2) |
(fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)) |
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2) |
(fma.f32 u (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -2 binary32)) |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 2) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (fma.f32 u (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -2 binary32)) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(/.f32 (*.f32 (*.f32 #s(literal 8/3 binary32) (*.f32 u u)) u) (*.f32 v v)) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 u v))) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 u (*.f32 u (*.f32 v v)))) (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) (*.f32 u u))))) (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 u v)) (/.f32 #s(literal 4 binary32) (*.f32 u (*.f32 v v)))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (* 2 (/ 1 (pow u 3))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 u (*.f32 u (*.f32 v v)))) (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) (*.f32 u u)))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 u v))) (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 u v)) (/.f32 #s(literal 4 binary32) (*.f32 u (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 u u))))))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(/.f32 (*.f32 (*.f32 #s(literal 8/3 binary32) (*.f32 u u)) u) (*.f32 v v)) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u v)) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 u (*.f32 v v))) (/.f32 #s(literal -8/3 binary32) (*.f32 v v)))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u v)) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 u (*.f32 v v))) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v)))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (/.f32 (+.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) u)) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v)))) |
(* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32))) (*.f32 v v)) |
(/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2)) |
(/.f32 (fma.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)))) (*.f32 v v)) |
(/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))))) (pow v 2)) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)))) (*.f32 v v)) |
(/ (+ (* 1/6 (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))))) (pow v 2)) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)))) (*.f32 v v)) |
(- (* 2 u) 2) |
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) |
(- (+ (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 2) |
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
(- (+ (* 1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 2) |
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
(- (* 2 u) 2) |
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) |
(- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) v))) v)) (* 2 u)) 2) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal -2 binary32)))) v)) |
(- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -8 (- 1 u)) (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) v))) v)) (* 2 u)) 2) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal -2 binary32)))) v)) |
Compiled 51 382 to 5 081 computations (90.1% saved)
61 alts after pruning (57 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 217 | 31 | 1 248 |
| Fresh | 13 | 26 | 39 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 234 | 61 | 1 295 |
| Status | Accuracy | Program |
|---|---|---|
| 8.1% | (fma.f32 (fma.f32 (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32)) | |
| 10.3% | (fma.f32 (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) v #s(literal 1 binary32)) | |
| 11.6% | (fma.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v) v #s(literal 1 binary32)) | |
| 11.8% | (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))) | |
| 11.8% | (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal 1/6 binary32)) (*.f32 v v)))) | |
| ▶ | 11.5% | (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
| 10.4% | (fma.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u #s(literal -1 binary32)) | |
| ✓ | 99.5% | (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
| 96.3% | (fma.f32 (log.f32 (fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) | |
| ▶ | 99.6% | (fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
| 5.2% | (fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)) | |
| 8.6% | (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -1 binary32)) | |
| 13.5% | (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) | |
| ▶ | 7.3% | (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
| 11.8% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) | |
| 11.5% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u #s(literal -24 binary32) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) | |
| 11.8% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) | |
| 13.6% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) | |
| 13.6% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) | |
| 7.3% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) | |
| 11.8% | (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) (*.f32 v v)) | |
| 11.5% | (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) | |
| 8.3% | (/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) | |
| 9.0% | (/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) | |
| 99.3% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32))))) | |
| 11.5% | (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) | |
| 11.0% | (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) | |
| 11.3% | (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) #s(literal -1/6 binary32))) (neg.f32 v))) v)) | |
| 10.4% | (+.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32)) #s(literal 1 binary32)) | |
| 11.8% | (+.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 1 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (*.f32 v #s(literal 2 binary32)))) | |
| 99.5% | (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) | |
| 8.6% | (+.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -2 binary32))) | |
| 10.4% | (+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) | |
| 10.4% | (+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) | |
| 10.9% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) | |
| 11.5% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) | |
| 13.5% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) | |
| 10.9% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) | |
| 11.3% | (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v)))) | |
| 8.0% | (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #s(literal -4 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal 2 binary32)))) | |
| 11.0% | (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))) | |
| 11.8% | (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)))) (*.f32 v v))) | |
| 10.9% | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 u (/.f32 #s(literal -2/3 binary32) v))) v)) v))) v) v)) | |
| 11.8% | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) v)) | |
| 10.9% | (+.f32 #s(literal 1 binary32) (/.f32 v (neg.f32 (/.f32 v (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 u (/.f32 #s(literal -2/3 binary32) v))) v)) v)))))) | |
| 10.9% | (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)) v) u)) v))) | |
| ▶ | 2.3% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u)))) |
| 8.7% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (/.f32 (+.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) u)) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v))))) | |
| 11.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 2 binary32) #s(literal 2 binary32))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v) #s(literal 1/2 binary32))))) v))) | |
| 11.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v))) | |
| 11.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u #s(literal -24 binary32) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v))) | |
| ▶ | 11.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)))) (*.f32 v v)) v))) |
| 10.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v v))) v)) (neg.f32 v)))) | |
| 10.9% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) (/.f32 u v)))) (neg.f32 v)))) | |
| ✓ | 99.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v))))))) |
| 10.9% | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) | |
| 8.3% | (*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) | |
| 8.3% | (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) | |
| 10.8% | (*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) | |
| ✓ | 88.4% | #s(literal 1 binary32) |
| ✓ | 5.6% | #s(literal -1 binary32) |
Compiled 3 329 to 1 965 computations (41% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 160 | (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)))) (*.f32 v v)) v)) |
| ✓ | cost-diff | 192 | (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32))) |
| ✓ | cost-diff | 192 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) |
| ✓ | cost-diff | 192 | (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)))) (*.f32 v v)) v) |
| ✓ | cost-diff | 0 | (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u)) |
| ✓ | cost-diff | 0 | (*.f32 u (*.f32 u u)) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u))) |
| ✓ | cost-diff | 64 | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u)))) |
| ✓ | cost-diff | 0 | (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 2 binary32) v) |
| ✓ | cost-diff | 0 | (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) |
| ✓ | cost-diff | 0 | (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
| ✓ | cost-diff | 0 | (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) |
| ✓ | cost-diff | 0 | (fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
| ✓ | cost-diff | 64 | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
| 20 196× | accelerator-lowering-fma.f32 |
| 20 196× | accelerator-lowering-fma.f64 |
| 3 348× | +-lowering-+.f64 |
| 3 348× | +-lowering-+.f32 |
| 3 126× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 616 |
| 1 | 144 | 603 |
| 2 | 387 | 531 |
| 3 | 1413 | 493 |
| 4 | 7843 | 493 |
| 0 | 8034 | 456 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) |
(log (+ (* (- 1 u) (exp (/ -2 v))) u)) |
(+ (* (- 1 u) (exp (/ -2 v))) u) |
(* (- 1 u) (exp (/ -2 v))) |
(- 1 u) |
1 |
u |
(exp (/ -2 v)) |
(/ -2 v) |
-2 |
v |
(+ (* u 2) -1) |
u |
2 |
-1 |
(+ (* (+ (/ 2 v) (+ (/ 4/3 (* v v)) 2)) u) -1) |
(+ (/ 2 v) (+ (/ 4/3 (* v v)) 2)) |
(/ 2 v) |
2 |
v |
(+ (/ 4/3 (* v v)) 2) |
(/ 4/3 (* v v)) |
4/3 |
(* v v) |
u |
-1 |
(+ 1 (* (* u (* u u)) (- (/ 8/3 (* v v)) (/ (+ (/ 2 v) (/ 4 (* v v))) u)))) |
1 |
(* (* u (* u u)) (- (/ 8/3 (* v v)) (/ (+ (/ 2 v) (/ 4 (* v v))) u))) |
(* u (* u u)) |
u |
(* u u) |
(- (/ 8/3 (* v v)) (/ (+ (/ 2 v) (/ 4 (* v v))) u)) |
(/ 8/3 (* v v)) |
8/3 |
(* v v) |
v |
(/ (+ (/ 2 v) (/ 4 (* v v))) u) |
(+ (/ 2 v) (/ 4 (* v v))) |
(/ 2 v) |
2 |
(/ 4 (* v v)) |
4 |
(+ 1 (* v (/ (/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) v))) |
1 |
(* v (/ (/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) v)) |
v |
(/ (/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) v) |
(/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) |
(+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) |
(+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2))) |
(+ (* u 2) -2) |
u |
2 |
-2 |
(* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)) |
(+ (* (- 1 u) -4) 4) |
(- 1 u) |
-4 |
4 |
(* (- 1 u) 1/2) |
1/2 |
(+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3)) |
(* (- 1 u) (- 1 u)) |
(* (+ (* (- 1 u) -16) 24) 1/6) |
(+ (* (- 1 u) -16) 24) |
-16 |
24 |
1/6 |
(+ (* -4/3 (neg u)) -4/3) |
-4/3 |
(neg u) |
(* v v) |
| Outputs |
|---|
(+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) |
(fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
(log (+ (* (- 1 u) (exp (/ -2 v))) u)) |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(+ (* (- 1 u) (exp (/ -2 v))) u) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(* (- 1 u) (exp (/ -2 v))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
-2 |
#s(literal -2 binary32) |
v |
(+ (* u 2) -1) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
u |
2 |
#s(literal 2 binary32) |
-1 |
#s(literal -1 binary32) |
(+ (* (+ (/ 2 v) (+ (/ 4/3 (* v v)) 2)) u) -1) |
(fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(+ (/ 2 v) (+ (/ 4/3 (* v v)) 2)) |
(+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) |
(/ 2 v) |
(/.f32 #s(literal 2 binary32) v) |
2 |
#s(literal 2 binary32) |
v |
(+ (/ 4/3 (* v v)) 2) |
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(/ 4/3 (* v v)) |
(/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
4/3 |
#s(literal 4/3 binary32) |
(* v v) |
(*.f32 v v) |
u |
-1 |
#s(literal -1 binary32) |
(+ 1 (* (* u (* u u)) (- (/ 8/3 (* v v)) (/ (+ (/ 2 v) (/ 4 (* v v))) u)))) |
(fma.f32 u (*.f32 (fma.f32 u u #s(literal 0 binary32)) (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) u))) #s(literal 1 binary32)) |
1 |
#s(literal 1 binary32) |
(* (* u (* u u)) (- (/ 8/3 (* v v)) (/ (+ (/ 2 v) (/ 4 (* v v))) u))) |
(*.f32 u (*.f32 (fma.f32 u u #s(literal 0 binary32)) (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) u)))) |
(* u (* u u)) |
(*.f32 u (fma.f32 u u #s(literal 0 binary32))) |
u |
(* u u) |
(fma.f32 u u #s(literal 0 binary32)) |
(- (/ 8/3 (* v v)) (/ (+ (/ 2 v) (/ 4 (* v v))) u)) |
(+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) u)) |
(/ 8/3 (* v v)) |
(/.f32 #s(literal 8/3 binary32) (*.f32 v v)) |
8/3 |
#s(literal 8/3 binary32) |
(* v v) |
(*.f32 v v) |
v |
(/ (+ (/ 2 v) (/ 4 (* v v))) u) |
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u) |
(+ (/ 2 v) (/ 4 (* v v))) |
(+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) |
(/ 2 v) |
(/.f32 #s(literal 2 binary32) v) |
2 |
#s(literal 2 binary32) |
(/ 4 (* v v)) |
(/.f32 #s(literal 4 binary32) (*.f32 v v)) |
4 |
#s(literal 4 binary32) |
(+ 1 (* v (/ (/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) v))) |
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8/3 binary32) #s(literal 4 binary32)) #s(literal -4/3 binary32)) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1 binary32)) |
1 |
#s(literal 1 binary32) |
(* v (/ (/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) v)) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8/3 binary32) #s(literal 4 binary32)) #s(literal -4/3 binary32)) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))))) #s(literal 1 binary32)) (*.f32 v v)) |
v |
(/ (/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) v) |
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8/3 binary32) #s(literal 4 binary32)) #s(literal -4/3 binary32)) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))))) (*.f32 v (*.f32 v v))) |
(/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) |
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8/3 binary32) #s(literal 4 binary32)) #s(literal -4/3 binary32)) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))))) (*.f32 v v)) |
(+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8/3 binary32) #s(literal 4 binary32)) #s(literal -4/3 binary32)) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))))) |
(+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2))) |
(fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) |
(+ (* u 2) -2) |
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) |
u |
2 |
#s(literal 2 binary32) |
-2 |
#s(literal -2 binary32) |
(* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)) |
(*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) |
(+ (* (- 1 u) -4) 4) |
(fma.f32 u #s(literal 4 binary32) #s(literal 0 binary32)) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
-4 |
#s(literal -4 binary32) |
4 |
#s(literal 4 binary32) |
(* (- 1 u) 1/2) |
(fma.f32 u #s(literal -1/2 binary32) #s(literal 1/2 binary32)) |
1/2 |
#s(literal 1/2 binary32) |
(+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8/3 binary32) #s(literal 4 binary32)) #s(literal -4/3 binary32))) |
(* (- 1 u) (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
(* (+ (* (- 1 u) -16) 24) 1/6) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8/3 binary32) #s(literal 4 binary32)) |
(+ (* (- 1 u) -16) 24) |
(fma.f32 u #s(literal 16 binary32) #s(literal 8 binary32)) |
-16 |
#s(literal -16 binary32) |
24 |
#s(literal 24 binary32) |
1/6 |
#s(literal 1/6 binary32) |
(+ (* -4/3 (neg u)) -4/3) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) |
-4/3 |
#s(literal -4/3 binary32) |
(neg u) |
(neg.f32 u) |
(* v v) |
(*.f32 v v) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.7% | (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
| ✓ | accuracy | 85.0% | (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)))) (*.f32 v v)) v)) |
| ✓ | accuracy | 81.4% | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) |
| ✓ | accuracy | 79.3% | (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32))) |
| ✓ | accuracy | 99.3% | (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) |
| ✓ | accuracy | 99.3% | (*.f32 u (*.f32 u u)) |
| ✓ | accuracy | 92.8% | (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u))) |
| ✓ | accuracy | 52.0% | (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u)) |
| ✓ | accuracy | 100.0% | (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) |
| ✓ | accuracy | 99.8% | (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) |
| ✓ | accuracy | 99.3% | (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
| ✓ | accuracy | 97.2% | (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
| ✓ | accuracy | 100.0% | (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
| ✓ | accuracy | 100.0% | (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
| ✓ | accuracy | 99.9% | (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) |
| ✓ | accuracy | 99.8% | (fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
| ✓ | accuracy | 99.7% | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| 107.0ms | 247× | 0 | valid |
| 11.0ms | 9× | 5 | exit |
Compiled 574 to 65 computations (88.7% saved)
ival-mult: 28.0ms (29.8% of total)ival-add: 25.0ms (26.6% of total)const: 13.0ms (13.8% of total)ival-div: 13.0ms (13.8% of total)ival-neg: 3.0ms (3.2% of total)ival-sub: 3.0ms (3.2% of total)ival-log: 3.0ms (3.2% of total)adjust: 2.0ms (2.1% of total)ival-exp: 2.0ms (2.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (- 1 u) (exp (/ -2 v))) u)> |
#<alt (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1)> |
#<alt (log (+ (* (- 1 u) (exp (/ -2 v))) u))> |
#<alt (* (- 1 u) (exp (/ -2 v)))> |
#<alt (+ (* u 2) -1)> |
#<alt (+ (* (+ (/ 2 v) (+ (/ 4/3 (* v v)) 2)) u) -1)> |
#<alt (+ (/ 2 v) (+ (/ 4/3 (* v v)) 2))> |
#<alt (/ 2 v)> |
#<alt (+ (/ 4/3 (* v v)) 2)> |
#<alt (+ 1 (* (* u (* u u)) (- (/ 8/3 (* v v)) (/ (+ (/ 2 v) (/ 4 (* v v))) u))))> |
#<alt (* (* u (* u u)) (- (/ 8/3 (* v v)) (/ (+ (/ 2 v) (/ 4 (* v v))) u)))> |
#<alt (* u (* u u))> |
#<alt (- (/ 8/3 (* v v)) (/ (+ (/ 2 v) (/ 4 (* v v))) u))> |
#<alt (/ (/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) v)> |
#<alt (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2))> |
#<alt (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))> |
#<alt (* v (/ (/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) v))> |
#<alt (exp (/ -2 v))> |
#<alt (/ 4/3 (* v v))> |
#<alt (/ 8/3 (* v v))> |
#<alt (+ (* (- 1 u) -4) 4)> |
#<alt (* (- 1 u) (- 1 u))> |
| Outputs |
|---|
#<alt (exp (/ -2 v))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (* u (+ 1 (* -1 (exp (/ -2 v)))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* -1 (* u (- (exp (/ -2 v)) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (- 1 u) v)))> |
#<alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))> |
#<alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (- 1 u) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))> |
#<alt -1> |
#<alt (- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)> |
#<alt (- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)> |
#<alt (- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)> |
#<alt (+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))> |
#<alt (+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))> |
#<alt (+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))> |
#<alt (+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt 1> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))> |
#<alt (/ -2 v)> |
#<alt (- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))> |
#<alt (- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))> |
#<alt (- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (* -2 (/ (- 1 u) v))> |
#<alt (/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)> |
#<alt (/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)> |
#<alt (/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)> |
#<alt (* -2 (/ (- 1 u) v))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))> |
#<alt (exp (/ -2 v))> |
#<alt (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))> |
#<alt (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))> |
#<alt (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))> |
#<alt (* -1 (* u (exp (/ -2 v))))> |
#<alt (* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))> |
#<alt (* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))> |
#<alt (* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))> |
#<alt (* -1 (* u (exp (/ -2 v))))> |
#<alt (* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u)))))> |
#<alt (* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u)))))> |
#<alt (* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u)))))> |
#<alt (* (exp (/ -2 v)) (- 1 u))> |
#<alt (* (exp (/ -2 v)) (- 1 u))> |
#<alt (* (exp (/ -2 v)) (- 1 u))> |
#<alt (* (exp (/ -2 v)) (- 1 u))> |
#<alt (- 1 u)> |
#<alt (- (+ 1 (* -2 (/ (- 1 u) v))) u)> |
#<alt (- (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) u)> |
#<alt (- (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) u)> |
#<alt (- 1 u)> |
#<alt (- (+ 1 (* -2 (/ (- 1 u) v))) u)> |
#<alt (- (+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) u)> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) u)> |
#<alt -1> |
#<alt (- (* 2 u) 1)> |
#<alt (- (* 2 u) 1)> |
#<alt (- (* 2 u) 1)> |
#<alt (* 2 u)> |
#<alt (* u (- 2 (/ 1 u)))> |
#<alt (* u (- 2 (/ 1 u)))> |
#<alt (* u (- 2 (/ 1 u)))> |
#<alt (* 2 u)> |
#<alt (* -1 (* u (- (/ 1 u) 2)))> |
#<alt (* -1 (* u (- (/ 1 u) 2)))> |
#<alt (* -1 (* u (- (/ 1 u) 2)))> |
#<alt (* 4/3 (/ u (pow v 2)))> |
#<alt (/ (+ (* 4/3 u) (* 2 (* u v))) (pow v 2))> |
#<alt (/ (+ (* 4/3 u) (* v (+ (* 2 u) (* v (- (* 2 u) 1))))) (pow v 2))> |
#<alt (/ (+ (* 4/3 u) (* v (+ (* 2 u) (* v (- (* 2 u) 1))))) (pow v 2))> |
#<alt (- (* 2 u) 1)> |
#<alt (- (+ (* 2 u) (* 2 (/ u v))) 1)> |
#<alt (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1)> |
#<alt (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1)> |
#<alt (- (* 2 u) 1)> |
#<alt (- (+ (* 2 u) (* 2 (/ u v))) 1)> |
#<alt (- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 1)> |
#<alt (- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 1)> |
#<alt -1> |
#<alt (- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 1)> |
#<alt (- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 1)> |
#<alt (- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 1)> |
#<alt (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))> |
#<alt (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (/ 1 u)))> |
#<alt (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (/ 1 u)))> |
#<alt (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (/ 1 u)))> |
#<alt (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))> |
#<alt (* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (/ 1 u))))> |
#<alt (* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (/ 1 u))))> |
#<alt (* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (/ 1 u))))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ (+ 4/3 (* 2 v)) (pow v 2))> |
#<alt (/ (+ 4/3 (* v (+ 2 (* 2 v)))) (pow v 2))> |
#<alt (/ (+ 4/3 (* v (+ 2 (* 2 v)))) (pow v 2))> |
#<alt 2> |
#<alt (+ 2 (* 2 (/ 1 v)))> |
#<alt (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))> |
#<alt (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))> |
#<alt 2> |
#<alt (+ 2 (* 2 (/ 1 v)))> |
#<alt (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))> |
#<alt (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))> |
#<alt (/ 2 v)> |
#<alt (/ 2 v)> |
#<alt (/ 2 v)> |
#<alt (/ 2 v)> |
#<alt (/ 2 v)> |
#<alt (/ 2 v)> |
#<alt (/ 2 v)> |
#<alt (/ 2 v)> |
#<alt (/ 2 v)> |
#<alt (/ 2 v)> |
#<alt (/ 2 v)> |
#<alt (/ 2 v)> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ (+ 4/3 (* 2 (pow v 2))) (pow v 2))> |
#<alt (/ (+ 4/3 (* 2 (pow v 2))) (pow v 2))> |
#<alt (/ (+ 4/3 (* 2 (pow v 2))) (pow v 2))> |
#<alt 2> |
#<alt (+ 2 (* 4/3 (/ 1 (pow v 2))))> |
#<alt (+ 2 (* 4/3 (/ 1 (pow v 2))))> |
#<alt (+ 2 (* 4/3 (/ 1 (pow v 2))))> |
#<alt 2> |
#<alt (+ 2 (* 4/3 (/ 1 (pow v 2))))> |
#<alt (+ 2 (* 4/3 (/ 1 (pow v 2))))> |
#<alt (+ 2 (* 4/3 (/ 1 (pow v 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* (pow u 2) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))> |
#<alt (+ 1 (* (pow u 2) (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2))))))> |
#<alt (+ 1 (* (pow u 2) (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2))))))> |
#<alt (* 8/3 (/ (pow u 3) (pow v 2)))> |
#<alt (* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))> |
#<alt (* (pow u 3) (- (+ (/ 1 (pow u 3)) (* 8/3 (/ 1 (pow v 2)))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))> |
#<alt (* (pow u 3) (- (+ (/ 1 (pow u 3)) (* 8/3 (/ 1 (pow v 2)))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))> |
#<alt (* 8/3 (/ (pow u 3) (pow v 2)))> |
#<alt (* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (/ 1 (pow u 2))) u)) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (/ 1 (pow u 2))) u)) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) (pow v 2))> |
#<alt (/ (+ (* -2 (* (pow u 2) v)) (* (pow u 3) (- 8/3 (* 4 (/ 1 u))))) (pow v 2))> |
#<alt (/ (+ (* v (+ v (* -2 (pow u 2)))) (* (pow u 3) (- 8/3 (* 4 (/ 1 u))))) (pow v 2))> |
#<alt (/ (+ (* v (+ v (* -2 (pow u 2)))) (* (pow u 3) (- 8/3 (* 4 (/ 1 u))))) (pow v 2))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (pow u 2) v)))> |
#<alt (+ 1 (+ (* -2 (/ (pow u 2) v)) (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) (pow v 2))))> |
#<alt (+ 1 (+ (* -2 (/ (pow u 2) v)) (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) (pow v 2))))> |
#<alt 1> |
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#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) (* 2 (pow u 2))) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) (* 2 (pow u 2))) v)))> |
#<alt (* -1 (* (pow u 2) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))> |
#<alt (* (pow u 2) (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2)))))> |
#<alt (* (pow u 2) (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2)))))> |
#<alt (* (pow u 2) (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2)))))> |
#<alt (* 8/3 (/ (pow u 3) (pow v 2)))> |
#<alt (* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))> |
#<alt (* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))> |
#<alt (* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))> |
#<alt (* 8/3 (/ (pow u 3) (pow v 2)))> |
#<alt (* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) (pow v 2))> |
#<alt (/ (+ (* -2 (* (pow u 2) v)) (* (pow u 3) (- 8/3 (* 4 (/ 1 u))))) (pow v 2))> |
#<alt (/ (+ (* -2 (* (pow u 2) v)) (* (pow u 3) (- 8/3 (* 4 (/ 1 u))))) (pow v 2))> |
#<alt (/ (+ (* -2 (* (pow u 2) v)) (* (pow u 3) (- 8/3 (* 4 (/ 1 u))))) (pow v 2))> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (/ (+ (* -2 (pow u 2)) (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) v)> |
#<alt (/ (+ (* -2 (pow u 2)) (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) v)> |
#<alt (/ (+ (* -2 (pow u 2)) (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) v)> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) (* 2 (pow u 2))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) (* 2 (pow u 2))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) (* 2 (pow u 2))) v))> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (/ (- 8/3 (* 4 (/ 1 u))) (pow v 2))> |
#<alt (/ (- (+ 8/3 (* -2 (/ v u))) (* 4 (/ 1 u))) (pow v 2))> |
#<alt (/ (- (+ 8/3 (* -2 (/ v u))) (* 4 (/ 1 u))) (pow v 2))> |
#<alt (/ (- (+ 8/3 (* -2 (/ v u))) (* 4 (/ 1 u))) (pow v 2))> |
#<alt (/ -2 (* u v))> |
#<alt (/ (- (* 8/3 (/ 1 v)) (+ (* 2 (/ 1 u)) (/ 4 (* u v)))) v)> |
#<alt (/ (- (* 8/3 (/ 1 v)) (+ (* 2 (/ 1 u)) (/ 4 (* u v)))) v)> |
#<alt (/ (- (* 8/3 (/ 1 v)) (+ (* 2 (/ 1 u)) (/ 4 (* u v)))) v)> |
#<alt (/ -2 (* u v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- 8/3 (* 4 (/ 1 u))) v)) (* 2 (/ 1 u))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- 8/3 (* 4 (/ 1 u))) v)) (* 2 (/ 1 u))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- 8/3 (* 4 (/ 1 u))) v)) (* 2 (/ 1 u))) v))> |
#<alt (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u))> |
#<alt (/ (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)> |
#<alt (/ (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)> |
#<alt (/ (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)> |
#<alt (/ 8/3 (pow v 2))> |
#<alt (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))> |
#<alt (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))> |
#<alt (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))> |
#<alt (/ 8/3 (pow v 2))> |
#<alt (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))> |
#<alt (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))> |
#<alt (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))> |
#<alt (/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (* 4/3 u)) 4/3) (pow v 3))> |
#<alt (/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (+ (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) (* 4/3 u))) 4/3) (pow v 3))> |
#<alt (/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (+ (* 4/3 u) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2)))))) 4/3) (pow v 3))> |
#<alt (/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (+ (* 4/3 u) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2)))))) 4/3) (pow v 3))> |
#<alt (/ (- (* 2 u) 2) v)> |
#<alt (/ (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) v)> |
#<alt (/ (- (+ (* 1/6 (/ (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (+ (* 4/3 (/ u (pow v 2))) (* 2 u)))) (+ 2 (/ 4/3 (pow v 2)))) v)> |
#<alt (/ (- (+ (* 1/6 (/ (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (+ (* 4/3 (/ u (pow v 2))) (* 2 u)))) (+ 2 (/ 4/3 (pow v 2)))) v)> |
#<alt (/ (- (* 2 u) 2) v)> |
#<alt (* -1 (/ (+ (* -1 (- (* 2 u) 2)) (* -1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) v))> |
#<alt (* -1 (/ (+ (* -1 (- (* 2 u) 2)) (* -1 (/ (- (+ (* 1/6 (/ (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)) v)) (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* 4/3 (/ u v)))) (* 4/3 (/ 1 v))) v))) v))> |
#<alt (* -1 (/ (+ (* -1 (- (* 2 u) 2)) (* -1 (/ (- (+ (* 1/6 (/ (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)) v)) (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* 4/3 (/ u v)))) (* 4/3 (/ 1 v))) v))) v))> |
#<alt (/ -2 v)> |
#<alt (- (* u (+ (* 4/3 (/ 1 (pow v 3))) (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))))) (* 2 (/ 1 v)))> |
#<alt (- (* u (+ (* -1 (* u (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))))) (+ (* 4/3 (/ 1 (pow v 3))) (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2))))))) (* 2 (/ 1 v)))> |
#<alt (- (* u (+ (* 4/3 (/ 1 (pow v 3))) (+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* u (- (* 8/3 (/ u (pow v 3))) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))))))))) (* 2 (/ 1 v)))> |
#<alt (* 8/3 (/ (pow u 3) (pow v 3)))> |
#<alt (* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))) u)) (* 8/3 (/ 1 (pow v 3)))))> |
#<alt (* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 2 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 3)))) (* 8/3 (/ 1 (pow v 3)))))) (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3))))))> |
#<alt (* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 2 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 3)))) (* 8/3 (/ 1 (pow v 3)))))) (+ (* 2 (/ 1 (* (pow u 3) v))) (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3)))))))> |
#<alt (* 8/3 (/ (pow u 3) (pow v 3)))> |
#<alt (* -1 (* (pow u 3) (- (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3)))) (* 8/3 (/ 1 (pow v 3))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (+ (/ 4/3 (* u (pow v 3))) (+ (/ 2 (* u v)) (/ 2 (* u (pow v 2))))) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) u)) (* 8/3 (/ 1 (pow v 3))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (* u v))) (+ (* 4/3 (/ 1 (pow v 3))) (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))))) u)) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) u)) (* 8/3 (/ 1 (pow v 3))))))> |
#<alt (* 2 u)> |
#<alt (* u (+ 2 (* -2 u)))> |
#<alt (* u (+ 2 (* -2 u)))> |
#<alt (* u (+ 2 (* -2 u)))> |
#<alt (* -2 (pow u 2))> |
#<alt (* (pow u 2) (- (* 2 (/ 1 u)) 2))> |
#<alt (* (pow u 2) (- (* 2 (/ 1 u)) 2))> |
#<alt (* (pow u 2) (- (* 2 (/ 1 u)) 2))> |
#<alt (* -2 (pow u 2))> |
#<alt (* (pow u 2) (- (* 2 (/ 1 u)) 2))> |
#<alt (* (pow u 2) (- (* 2 (/ 1 u)) 2))> |
#<alt (* (pow u 2) (- (* 2 (/ 1 u)) 2))> |
#<alt (* 4/3 u)> |
#<alt (* u (+ 4/3 (* -4 u)))> |
#<alt (* u (+ 4/3 (* u (- (* 8/3 u) 4))))> |
#<alt (* u (+ 4/3 (* u (- (* 8/3 u) 4))))> |
#<alt (* 8/3 (pow u 3))> |
#<alt (* (pow u 3) (- 8/3 (* 4 (/ 1 u))))> |
#<alt (* (pow u 3) (- (+ 8/3 (/ 4/3 (pow u 2))) (* 4 (/ 1 u))))> |
#<alt (* (pow u 3) (- (+ 8/3 (/ 4/3 (pow u 2))) (* 4 (/ 1 u))))> |
#<alt (* 8/3 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- (* 4 (/ 1 u)) 8/3)))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 4/3 (/ 1 u)) 4) u)) 8/3)))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 4/3 (/ 1 u)) 4) u)) 8/3)))> |
#<alt (/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (* 4/3 u)) 4/3) (pow v 2))> |
#<alt (/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (+ (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) (* 4/3 u))) 4/3) (pow v 2))> |
#<alt (/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (+ (* 4/3 u) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2)))))) 4/3) (pow v 2))> |
#<alt (/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (+ (* 4/3 u) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2)))))) 4/3) (pow v 2))> |
#<alt (- (* 2 u) 2)> |
#<alt (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2)> |
#<alt (- (+ (* 1/6 (/ (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (+ (* 4/3 (/ u (pow v 2))) (* 2 u)))) (+ 2 (/ 4/3 (pow v 2))))> |
#<alt (- (+ (* 1/6 (/ (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (+ (* 4/3 (/ u (pow v 2))) (* 2 u)))) (+ 2 (/ 4/3 (pow v 2))))> |
#<alt (- (* 2 u) 2)> |
#<alt (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2)> |
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (* 4/3 u)) 4/3) v)) (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v)) (* 2 u)) 2)> |
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (* 4/3 u)) 4/3) v)) (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v)) (* 2 u)) 2)> |
#<alt -2> |
#<alt (- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2)> |
#<alt (- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2)> |
#<alt (- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 2)> |
#<alt (* 8/3 (/ (pow u 3) (pow v 2)))> |
#<alt (* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))> |
#<alt (* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))> |
#<alt (* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (* 2 (/ 1 (pow u 3))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))))> |
#<alt (* 8/3 (/ (pow u 3) (pow v 2)))> |
#<alt (* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 v)))> |
#<alt (- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))> |
#<alt (- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 v)))> |
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))> |
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 4/3 (pow v 2))> |
#<alt (/ 8/3 (pow v 2))> |
#<alt (/ 8/3 (pow v 2))> |
#<alt (/ 8/3 (pow v 2))> |
#<alt (/ 8/3 (pow v 2))> |
#<alt (/ 8/3 (pow v 2))> |
#<alt (/ 8/3 (pow v 2))> |
#<alt (/ 8/3 (pow v 2))> |
#<alt (/ 8/3 (pow v 2))> |
#<alt (/ 8/3 (pow v 2))> |
#<alt (/ 8/3 (pow v 2))> |
#<alt (/ 8/3 (pow v 2))> |
#<alt (/ 8/3 (pow v 2))> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt 1> |
#<alt (+ 1 (* -2 u))> |
#<alt (+ 1 (* u (- u 2)))> |
#<alt (+ 1 (* u (- u 2)))> |
#<alt (pow u 2)> |
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))> |
#<alt (pow u 2)> |
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))> |
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (/ (/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) v) |
| 1.0ms | v | @ | -inf | (/ (/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) v) |
| 1.0ms | u | @ | 0 | (/ (/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) v) |
| 1.0ms | u | @ | -inf | (+ 1 (* (* u (* u u)) (- (/ 8/3 (* v v)) (/ (+ (/ 2 v) (/ 4 (* v v))) u)))) |
| 1.0ms | u | @ | -inf | (/ (/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) v) |
| 1× | batch-egg-rewrite |
| 4 428× | *-lowering-*.f32 |
| 4 428× | *-lowering-*.f64 |
| 4 282× | accelerator-lowering-fma.f32 |
| 4 282× | accelerator-lowering-fma.f64 |
| 3 234× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 316 |
| 1 | 398 | 309 |
| 2 | 4202 | 309 |
| 0 | 8182 | 277 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (- 1 u) (exp (/ -2 v))) u) |
(+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) |
(log (+ (* (- 1 u) (exp (/ -2 v))) u)) |
(* (- 1 u) (exp (/ -2 v))) |
(+ (* u 2) -1) |
(+ (* (+ (/ 2 v) (+ (/ 4/3 (* v v)) 2)) u) -1) |
(+ (/ 2 v) (+ (/ 4/3 (* v v)) 2)) |
(/ 2 v) |
(+ (/ 4/3 (* v v)) 2) |
(+ 1 (* (* u (* u u)) (- (/ 8/3 (* v v)) (/ (+ (/ 2 v) (/ 4 (* v v))) u)))) |
(* (* u (* u u)) (- (/ 8/3 (* v v)) (/ (+ (/ 2 v) (/ 4 (* v v))) u))) |
(* u (* u u)) |
(- (/ 8/3 (* v v)) (/ (+ (/ 2 v) (/ 4 (* v v))) u)) |
(/ (/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) v) |
(* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)) |
(+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3)) |
(* v (/ (/ (+ (* v (+ (* v (+ (* u 2) -2)) (* (+ (* (- 1 u) -4) 4) (* (- 1 u) 1/2)))) (+ (* (* (- 1 u) (- 1 u)) (* (+ (* (- 1 u) -16) 24) 1/6)) (+ (* -4/3 (neg u)) -4/3))) (* v v)) v)) |
(exp (/ -2 v)) |
(/ 4/3 (* v v)) |
(/ 8/3 (* v v)) |
(+ (* (- 1 u) -4) 4) |
(* (- 1 u) (- 1 u)) |
| Outputs |
|---|
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
(pow.f32 (/.f32 (fma.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) u))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 u #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(-.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (/.f32 (*.f32 u u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) u)))) |
(/.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u))) (fma.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))))) |
(/.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u))) (fma.f32 u u (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u)))) (neg.f32 (fma.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) u))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) |
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(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) #s(literal 2 binary32))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) |
(*.f32 (exp.f32 (log1p.f32 (neg.f32 u))) (exp.f32 (log1p.f32 (neg.f32 u)))) |
| 1× | egg-herbie |
| 8 920× | accelerator-lowering-fma.f32 |
| 8 920× | accelerator-lowering-fma.f64 |
| 5 428× | +-lowering-+.f64 |
| 5 428× | +-lowering-+.f32 |
| 5 086× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 712 | 6382 |
| 1 | 2139 | 6084 |
| 2 | 7034 | 6041 |
| 0 | 8523 | 5657 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
1 |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) |
1 |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
-1 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
1 |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
(/ -2 v) |
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1)))))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(* -2 (/ (- 1 u) v)) |
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v) |
(* -2 (/ (- 1 u) v)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))) |
(+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))) |
(+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))) |
(* -1 (* u (exp (/ -2 v)))) |
(* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))) |
(* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))) |
(* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))) |
(* -1 (* u (exp (/ -2 v)))) |
(* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))))) |
(* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))))) |
(* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))))) |
(* (exp (/ -2 v)) (- 1 u)) |
(* (exp (/ -2 v)) (- 1 u)) |
(* (exp (/ -2 v)) (- 1 u)) |
(* (exp (/ -2 v)) (- 1 u)) |
(- 1 u) |
(- (+ 1 (* -2 (/ (- 1 u) v))) u) |
(- (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) u) |
(- (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) u) |
(- 1 u) |
(- (+ 1 (* -2 (/ (- 1 u) v))) u) |
(- (+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) u) |
(- (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) u) |
-1 |
(- (* 2 u) 1) |
(- (* 2 u) 1) |
(- (* 2 u) 1) |
(* 2 u) |
(* u (- 2 (/ 1 u))) |
(* u (- 2 (/ 1 u))) |
(* u (- 2 (/ 1 u))) |
(* 2 u) |
(* -1 (* u (- (/ 1 u) 2))) |
(* -1 (* u (- (/ 1 u) 2))) |
(* -1 (* u (- (/ 1 u) 2))) |
(* 4/3 (/ u (pow v 2))) |
(/ (+ (* 4/3 u) (* 2 (* u v))) (pow v 2)) |
(/ (+ (* 4/3 u) (* v (+ (* 2 u) (* v (- (* 2 u) 1))))) (pow v 2)) |
(/ (+ (* 4/3 u) (* v (+ (* 2 u) (* v (- (* 2 u) 1))))) (pow v 2)) |
(- (* 2 u) 1) |
(- (+ (* 2 u) (* 2 (/ u v))) 1) |
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1) |
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1) |
(- (* 2 u) 1) |
(- (+ (* 2 u) (* 2 (/ u v))) 1) |
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 1) |
-1 |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 1) |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 1) |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 1) |
(* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) |
(* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (/ 1 u))) |
(* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (/ 1 u))) |
(* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) (/ 1 u))) |
(* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) |
(* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (/ 1 u)))) |
(* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (/ 1 u)))) |
(* -1 (* u (+ (* -1 (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) (/ 1 u)))) |
(/ 4/3 (pow v 2)) |
(/ (+ 4/3 (* 2 v)) (pow v 2)) |
(/ (+ 4/3 (* v (+ 2 (* 2 v)))) (pow v 2)) |
(/ (+ 4/3 (* v (+ 2 (* 2 v)))) (pow v 2)) |
2 |
(+ 2 (* 2 (/ 1 v))) |
(+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) |
(+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) |
2 |
(+ 2 (* 2 (/ 1 v))) |
(+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) |
(+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 4/3 (pow v 2)) |
(/ (+ 4/3 (* 2 (pow v 2))) (pow v 2)) |
(/ (+ 4/3 (* 2 (pow v 2))) (pow v 2)) |
(/ (+ 4/3 (* 2 (pow v 2))) (pow v 2)) |
2 |
(+ 2 (* 4/3 (/ 1 (pow v 2)))) |
(+ 2 (* 4/3 (/ 1 (pow v 2)))) |
(+ 2 (* 4/3 (/ 1 (pow v 2)))) |
2 |
(+ 2 (* 4/3 (/ 1 (pow v 2)))) |
(+ 2 (* 4/3 (/ 1 (pow v 2)))) |
(+ 2 (* 4/3 (/ 1 (pow v 2)))) |
1 |
(+ 1 (* -1 (* (pow u 2) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))) |
(+ 1 (* (pow u 2) (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2)))))) |
(+ 1 (* (pow u 2) (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2)))))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 3) (- (+ (/ 1 (pow u 3)) (* 8/3 (/ 1 (pow v 2)))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))) |
(* (pow u 3) (- (+ (/ 1 (pow u 3)) (* 8/3 (/ 1 (pow v 2)))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (/ 1 (pow u 2))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (/ 1 (pow u 2))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) (pow v 2)) |
(/ (+ (* -2 (* (pow u 2) v)) (* (pow u 3) (- 8/3 (* 4 (/ 1 u))))) (pow v 2)) |
(/ (+ (* v (+ v (* -2 (pow u 2)))) (* (pow u 3) (- 8/3 (* 4 (/ 1 u))))) (pow v 2)) |
(/ (+ (* v (+ v (* -2 (pow u 2)))) (* (pow u 3) (- 8/3 (* 4 (/ 1 u))))) (pow v 2)) |
1 |
(+ 1 (* -2 (/ (pow u 2) v))) |
(+ 1 (+ (* -2 (/ (pow u 2) v)) (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) (pow v 2)))) |
(+ 1 (+ (* -2 (/ (pow u 2) v)) (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) (pow v 2)))) |
1 |
(+ 1 (* -2 (/ (pow u 2) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) (* 2 (pow u 2))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) (* 2 (pow u 2))) v))) |
(* -1 (* (pow u 2) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) |
(* (pow u 2) (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2))))) |
(* (pow u 2) (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2))))) |
(* (pow u 2) (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2))))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) (pow v 2)) |
(/ (+ (* -2 (* (pow u 2) v)) (* (pow u 3) (- 8/3 (* 4 (/ 1 u))))) (pow v 2)) |
(/ (+ (* -2 (* (pow u 2) v)) (* (pow u 3) (- 8/3 (* 4 (/ 1 u))))) (pow v 2)) |
(/ (+ (* -2 (* (pow u 2) v)) (* (pow u 3) (- 8/3 (* 4 (/ 1 u))))) (pow v 2)) |
(* -2 (/ (pow u 2) v)) |
(/ (+ (* -2 (pow u 2)) (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) v) |
(/ (+ (* -2 (pow u 2)) (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) v) |
(/ (+ (* -2 (pow u 2)) (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) v) |
(* -2 (/ (pow u 2) v)) |
(* -1 (/ (+ (* -1 (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) (* 2 (pow u 2))) v)) |
(* -1 (/ (+ (* -1 (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) (* 2 (pow u 2))) v)) |
(* -1 (/ (+ (* -1 (/ (* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) v)) (* 2 (pow u 2))) v)) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(/ (- 8/3 (* 4 (/ 1 u))) (pow v 2)) |
(/ (- (+ 8/3 (* -2 (/ v u))) (* 4 (/ 1 u))) (pow v 2)) |
(/ (- (+ 8/3 (* -2 (/ v u))) (* 4 (/ 1 u))) (pow v 2)) |
(/ (- (+ 8/3 (* -2 (/ v u))) (* 4 (/ 1 u))) (pow v 2)) |
(/ -2 (* u v)) |
(/ (- (* 8/3 (/ 1 v)) (+ (* 2 (/ 1 u)) (/ 4 (* u v)))) v) |
(/ (- (* 8/3 (/ 1 v)) (+ (* 2 (/ 1 u)) (/ 4 (* u v)))) v) |
(/ (- (* 8/3 (/ 1 v)) (+ (* 2 (/ 1 u)) (/ 4 (* u v)))) v) |
(/ -2 (* u v)) |
(* -1 (/ (+ (* -1 (/ (- 8/3 (* 4 (/ 1 u))) v)) (* 2 (/ 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (- 8/3 (* 4 (/ 1 u))) v)) (* 2 (/ 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (- 8/3 (* 4 (/ 1 u))) v)) (* 2 (/ 1 u))) v)) |
(* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) |
(/ (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u) |
(/ (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u) |
(/ (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u) |
(/ 8/3 (pow v 2)) |
(+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))) |
(+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))) |
(+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))) |
(/ 8/3 (pow v 2)) |
(+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))) |
(+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))) |
(+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))) |
(/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (* 4/3 u)) 4/3) (pow v 3)) |
(/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (+ (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) (* 4/3 u))) 4/3) (pow v 3)) |
(/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (+ (* 4/3 u) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2)))))) 4/3) (pow v 3)) |
(/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (+ (* 4/3 u) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2)))))) 4/3) (pow v 3)) |
(/ (- (* 2 u) 2) v) |
(/ (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) v) |
(/ (- (+ (* 1/6 (/ (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (+ (* 4/3 (/ u (pow v 2))) (* 2 u)))) (+ 2 (/ 4/3 (pow v 2)))) v) |
(/ (- (+ (* 1/6 (/ (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (+ (* 4/3 (/ u (pow v 2))) (* 2 u)))) (+ 2 (/ 4/3 (pow v 2)))) v) |
(/ (- (* 2 u) 2) v) |
(* -1 (/ (+ (* -1 (- (* 2 u) 2)) (* -1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) v)) |
(* -1 (/ (+ (* -1 (- (* 2 u) 2)) (* -1 (/ (- (+ (* 1/6 (/ (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)) v)) (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* 4/3 (/ u v)))) (* 4/3 (/ 1 v))) v))) v)) |
(* -1 (/ (+ (* -1 (- (* 2 u) 2)) (* -1 (/ (- (+ (* 1/6 (/ (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)) v)) (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* 4/3 (/ u v)))) (* 4/3 (/ 1 v))) v))) v)) |
(/ -2 v) |
(- (* u (+ (* 4/3 (/ 1 (pow v 3))) (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))))) (* 2 (/ 1 v))) |
(- (* u (+ (* -1 (* u (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))))) (+ (* 4/3 (/ 1 (pow v 3))) (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2))))))) (* 2 (/ 1 v))) |
(- (* u (+ (* 4/3 (/ 1 (pow v 3))) (+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* u (- (* 8/3 (/ u (pow v 3))) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))))))))) (* 2 (/ 1 v))) |
(* 8/3 (/ (pow u 3) (pow v 3))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))) u)) (* 8/3 (/ 1 (pow v 3))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 2 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 3)))) (* 8/3 (/ 1 (pow v 3)))))) (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3)))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 2 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 3)))) (* 8/3 (/ 1 (pow v 3)))))) (+ (* 2 (/ 1 (* (pow u 3) v))) (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3))))))) |
(* 8/3 (/ (pow u 3) (pow v 3))) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3)))) (* 8/3 (/ 1 (pow v 3)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (+ (/ 4/3 (* u (pow v 3))) (+ (/ 2 (* u v)) (/ 2 (* u (pow v 2))))) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) u)) (* 8/3 (/ 1 (pow v 3)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (* u v))) (+ (* 4/3 (/ 1 (pow v 3))) (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))))) u)) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) u)) (* 8/3 (/ 1 (pow v 3)))))) |
(* 2 u) |
(* u (+ 2 (* -2 u))) |
(* u (+ 2 (* -2 u))) |
(* u (+ 2 (* -2 u))) |
(* -2 (pow u 2)) |
(* (pow u 2) (- (* 2 (/ 1 u)) 2)) |
(* (pow u 2) (- (* 2 (/ 1 u)) 2)) |
(* (pow u 2) (- (* 2 (/ 1 u)) 2)) |
(* -2 (pow u 2)) |
(* (pow u 2) (- (* 2 (/ 1 u)) 2)) |
(* (pow u 2) (- (* 2 (/ 1 u)) 2)) |
(* (pow u 2) (- (* 2 (/ 1 u)) 2)) |
(* 4/3 u) |
(* u (+ 4/3 (* -4 u))) |
(* u (+ 4/3 (* u (- (* 8/3 u) 4)))) |
(* u (+ 4/3 (* u (- (* 8/3 u) 4)))) |
(* 8/3 (pow u 3)) |
(* (pow u 3) (- 8/3 (* 4 (/ 1 u)))) |
(* (pow u 3) (- (+ 8/3 (/ 4/3 (pow u 2))) (* 4 (/ 1 u)))) |
(* (pow u 3) (- (+ 8/3 (/ 4/3 (pow u 2))) (* 4 (/ 1 u)))) |
(* 8/3 (pow u 3)) |
(* -1 (* (pow u 3) (- (* 4 (/ 1 u)) 8/3))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 4/3 (/ 1 u)) 4) u)) 8/3))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 4/3 (/ 1 u)) 4) u)) 8/3))) |
(/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (* 4/3 u)) 4/3) (pow v 2)) |
(/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (+ (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) (* 4/3 u))) 4/3) (pow v 2)) |
(/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (+ (* 4/3 u) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2)))))) 4/3) (pow v 2)) |
(/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (+ (* 4/3 u) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2)))))) 4/3) (pow v 2)) |
(- (* 2 u) 2) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
(- (+ (* 1/6 (/ (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (+ (* 4/3 (/ u (pow v 2))) (* 2 u)))) (+ 2 (/ 4/3 (pow v 2)))) |
(- (+ (* 1/6 (/ (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2)) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (+ (* 4/3 (/ u (pow v 2))) (* 2 u)))) (+ 2 (/ 4/3 (pow v 2)))) |
(- (* 2 u) 2) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
(- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (* 4/3 u)) 4/3) v)) (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v)) (* 2 u)) 2) |
(- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/6 (* (+ 24 (* -16 (- 1 u))) (pow (- 1 u) 2))) (* 4/3 u)) 4/3) v)) (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v)) (* 2 u)) 2) |
-2 |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2) |
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2) |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 2) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (* 2 (/ 1 (pow u 3))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
1 |
(- 1 (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
1 |
(- 1 (* 2 (/ 1 v))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 4/3 (pow v 2)) |
(/ 8/3 (pow v 2)) |
(/ 8/3 (pow v 2)) |
(/ 8/3 (pow v 2)) |
(/ 8/3 (pow v 2)) |
(/ 8/3 (pow v 2)) |
(/ 8/3 (pow v 2)) |
(/ 8/3 (pow v 2)) |
(/ 8/3 (pow v 2)) |
(/ 8/3 (pow v 2)) |
(/ 8/3 (pow v 2)) |
(/ 8/3 (pow v 2)) |
(/ 8/3 (pow v 2)) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
1 |
(+ 1 (* -2 u)) |
(+ 1 (* u (- u 2))) |
(+ 1 (* u (- u 2))) |
(pow u 2) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(pow u 2) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u)))) |
| Outputs |
|---|
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(*.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(fma.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(fma.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(fma.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(*.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal -1 binary32) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 u)) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(*.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal -1 binary32) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 u)) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(*.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal -1 binary32) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 u)) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (/ (- 1 u) v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32)) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v v)) #s(literal 1 binary32))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)) (*.f32 v (*.f32 v v)))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (/ (- 1 u) v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32)) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -4/3 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)) |
-1 |
#s(literal -1 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(fma.f32 u (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (*.f32 #s(literal -1/2 binary32) u) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32)) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(fma.f32 u (fma.f32 u (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 v (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))))) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32)) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) #s(literal 1 binary32)) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal 1 binary32)) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (fma.f32 v (/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) #s(literal 1 binary32))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+.f32 (fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (fma.f32 v (/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) #s(literal 1 binary32))) (*.f32 v (*.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u (*.f32 u u))) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 3 binary32))))) |
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) #s(literal 1 binary32)) |
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (fma.f32 v (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #s(literal 1 binary32))) |
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (*.f32 (*.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) u))) |
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1 |
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(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2) |
(fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)) |
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2) |
(fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -2 binary32)) |
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 2) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 u (+.f32 (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal -4 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -2 binary32)) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v)))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v (*.f32 u u))) (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v (*.f32 u u)))) (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) (*.f32 u u)))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v u))))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (* 2 (/ 1 (pow u 3))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v (*.f32 u u)))) (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) (*.f32 u u)))) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v (*.f32 u u))) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v u))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 u u)))))))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v u))) (/.f32 #s(literal -8/3 binary32) (*.f32 v v)))) (-.f32 #s(literal 0 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v u))) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v)))))) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v)))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) (/.f32 (+.f32 (+.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 2 binary32) u)) u)) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v)))) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
1 |
#s(literal 1 binary32) |
(- 1 (* 2 (/ 1 v))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v)) |
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v))) |
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))))) |
1 |
#s(literal 1 binary32) |
(- 1 (* 2 (/ 1 v))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v)) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)) |
(/ 4/3 (pow v 2)) |
(/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
(/ 4/3 (pow v 2)) |
(/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
(/ 4/3 (pow v 2)) |
(/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
(/ 4/3 (pow v 2)) |
(/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
(/ 4/3 (pow v 2)) |
(/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
(/ 4/3 (pow v 2)) |
(/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
(/ 4/3 (pow v 2)) |
(/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
(/ 4/3 (pow v 2)) |
(/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
(/ 4/3 (pow v 2)) |
(/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
(/ 4/3 (pow v 2)) |
(/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
(/ 4/3 (pow v 2)) |
(/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
(/ 4/3 (pow v 2)) |
(/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
(/ 8/3 (pow v 2)) |
(/.f32 #s(literal 8/3 binary32) (*.f32 v v)) |
(/ 8/3 (pow v 2)) |
(/.f32 #s(literal 8/3 binary32) (*.f32 v v)) |
(/ 8/3 (pow v 2)) |
(/.f32 #s(literal 8/3 binary32) (*.f32 v v)) |
(/ 8/3 (pow v 2)) |
(/.f32 #s(literal 8/3 binary32) (*.f32 v v)) |
(/ 8/3 (pow v 2)) |
(/.f32 #s(literal 8/3 binary32) (*.f32 v v)) |
(/ 8/3 (pow v 2)) |
(/.f32 #s(literal 8/3 binary32) (*.f32 v v)) |
(/ 8/3 (pow v 2)) |
(/.f32 #s(literal 8/3 binary32) (*.f32 v v)) |
(/ 8/3 (pow v 2)) |
(/.f32 #s(literal 8/3 binary32) (*.f32 v v)) |
(/ 8/3 (pow v 2)) |
(/.f32 #s(literal 8/3 binary32) (*.f32 v v)) |
(/ 8/3 (pow v 2)) |
(/.f32 #s(literal 8/3 binary32) (*.f32 v v)) |
(/ 8/3 (pow v 2)) |
(/.f32 #s(literal 8/3 binary32) (*.f32 v v)) |
(/ 8/3 (pow v 2)) |
(/.f32 #s(literal 8/3 binary32) (*.f32 v v)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
(* 4 u) |
(*.f32 u #s(literal 4 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 u)) |
(fma.f32 #s(literal -2 binary32) u #s(literal 1 binary32)) |
(+ 1 (* u (- u 2))) |
(fma.f32 u (+.f32 #s(literal -2 binary32) u) #s(literal 1 binary32)) |
(+ 1 (* u (- u 2))) |
(fma.f32 u (+.f32 #s(literal -2 binary32) u) #s(literal 1 binary32)) |
(pow u 2) |
(*.f32 u u) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(*.f32 u (*.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))) |
(pow u 2) |
(*.f32 u u) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(*.f32 u (*.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u)))) |
(*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) u))) |
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u)))) |
(*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) u))) |
Compiled 30 749 to 2 957 computations (90.4% saved)
62 alts after pruning (56 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 865 | 16 | 881 |
| Fresh | 12 | 40 | 52 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 880 | 62 | 942 |
| Status | Accuracy | Program |
|---|---|---|
| 8.1% | (fma.f32 (fma.f32 (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32)) | |
| 10.3% | (fma.f32 (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) v #s(literal 1 binary32)) | |
| 11.6% | (fma.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v) v #s(literal 1 binary32)) | |
| 11.5% | (fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) | |
| 10.4% | (fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) | |
| 11.8% | (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))) | |
| 10.4% | (fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) | |
| 11.8% | (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal 1/6 binary32)) (*.f32 v v)))) | |
| 13.5% | (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) | |
| 10.4% | (fma.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u #s(literal -1 binary32)) | |
| 3.0% | (fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) | |
| ✓ | 99.5% | (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
| ✓ | 99.6% | (fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
| 96.3% | (fma.f32 (log.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) | |
| 5.2% | (fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)) | |
| 8.6% | (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -1 binary32)) | |
| ✓ | 7.3% | (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
| 11.8% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) | |
| 11.5% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u #s(literal -24 binary32) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) | |
| 11.8% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) | |
| 5.7% | (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) | |
| 13.6% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) | |
| 13.6% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) | |
| 7.3% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) | |
| 11.8% | (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) (*.f32 v v)) | |
| 11.5% | (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) | |
| 8.3% | (/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) | |
| 99.3% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32))))) | |
| 11.5% | (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) | |
| 11.0% | (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) | |
| 11.3% | (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) #s(literal -1/6 binary32))) (neg.f32 v))) v)) | |
| 10.4% | (+.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32)) #s(literal 1 binary32)) | |
| 99.5% | (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) | |
| 8.6% | (+.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -2 binary32))) | |
| 10.9% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) | |
| 11.5% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) | |
| 13.5% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) | |
| 11.3% | (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v)))) | |
| 11.8% | (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 2 binary32)))) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)))) (*.f32 v v))) | |
| 8.0% | (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #s(literal -4 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal 2 binary32)))) | |
| 11.0% | (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))) | |
| 10.9% | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 u (/.f32 #s(literal -2/3 binary32) v))) v)) v))) v) v)) | |
| 3.0% | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 (*.f32 u u) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) u)))) (*.f32 v v))) | |
| 10.9% | (+.f32 #s(literal 1 binary32) (/.f32 v (neg.f32 (/.f32 v (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 u (/.f32 #s(literal -2/3 binary32) v))) v)) v)))))) | |
| 10.9% | (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)) v) u)) v))) | |
| 11.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 2 binary32)))) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)))) (*.f32 v (*.f32 v v))))) | |
| 11.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v))) | |
| 11.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u #s(literal -24 binary32) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v))) | |
| 11.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)))) (*.f32 v v)) v))) | |
| 11.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32)))) (*.f32 v v)) v))) | |
| 11.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4/3 binary32)))) (*.f32 v v)) v))) | |
| 10.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v v))) v)) (neg.f32 v)))) | |
| 10.9% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) (/.f32 u v)))) (neg.f32 v)))) | |
| ✓ | 99.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v))))))) |
| 10.9% | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) | |
| 8.3% | (*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) | |
| 8.3% | (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) | |
| 7.3% | (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) | |
| 10.8% | (*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) | |
| 19.7% | (*.f32 u #s(literal 2 binary32)) | |
| ✓ | 88.4% | #s(literal 1 binary32) |
| ✓ | 5.6% | #s(literal -1 binary32) |
Compiled 4 376 to 1 475 computations (66.3% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 (*.f32 u u) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) u)))) (*.f32 v v))) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)) v) u)) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v v))) v)) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) (/.f32 u v)))) (neg.f32 v)))) |
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(+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (fma.f32 (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (/.f32 (+.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) u)) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v (*.f32 u u))) (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u u)) (/.f32 #s(literal 4/3 binary32) (*.f32 u (*.f32 v (*.f32 v u))))))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v u)))))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 (+.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1/2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1/2 binary32)))) (*.f32 v v)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) |
(fma.f32 (log.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) |
(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v))))))) |
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) #s(literal -1/6 binary32))) (neg.f32 v))) v)) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v)))) |
(fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32))))) |
| Outputs |
|---|
(fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
4 calls:
| 41.0ms | u |
| 32.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 31.0ms | v |
| 25.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | u |
| 99.6% | 1 | v |
| 99.6% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 99.6% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
Compiled 38 to 27 computations (28.9% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 (*.f32 u u) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) u)))) (*.f32 v v))) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)) v) u)) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v v))) v)) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) (/.f32 u v)))) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u #s(literal -24 binary32) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v))) v)) (neg.f32 v)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 u (/.f32 #s(literal -2/3 binary32) v))) v)) v))) v) v)) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (*.f32 v #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) (*.f32 v v)) |
(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))) |
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(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) |
(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32)) |
| Outputs |
|---|
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) |
4 calls:
| 123.0ms | v |
| 32.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 29.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 26.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | u |
| 99.5% | 1 | v |
| 99.5% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 99.5% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
Compiled 38 to 27 computations (28.9% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 (*.f32 u u) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) u)))) (*.f32 v v))) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)) v) u)) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v v))) v)) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) (/.f32 u v)))) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u #s(literal -24 binary32) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v))) v)) (neg.f32 v)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 u (/.f32 #s(literal -2/3 binary32) v))) v)) v))) v) v)) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (*.f32 v #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) (*.f32 v v)) |
(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4/3 binary32)))) (*.f32 v v)) v))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal 1/6 binary32)) (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (/.f32 v (neg.f32 (/.f32 v (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 u (/.f32 #s(literal -2/3 binary32) v))) v)) v)))))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32)))) (*.f32 v v)) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u #s(literal -24 binary32) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v))) |
(+.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 1 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (*.f32 v #s(literal 2 binary32)))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 2 binary32)))) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)))) (*.f32 v v))) |
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)))) (*.f32 v v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)))) (*.f32 v v)) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 2 binary32)))) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)))) (*.f32 v (*.f32 v v))))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) v)) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v))) |
(fma.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)))) (*.f32 v v)) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))))) (*.f32 v v)))) v))) |
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)) |
(fma.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))) |
(+.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v u))) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 2 binary32) #s(literal 2 binary32))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v) #s(literal 1/2 binary32))))) v))) |
(fma.f32 (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #s(literal -4 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal 2 binary32)))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) u)) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (fma.f32 (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (/.f32 (+.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) u)) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v (*.f32 u u))) (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u u)) (/.f32 #s(literal 4/3 binary32) (*.f32 u (*.f32 v (*.f32 v u))))))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v u)))))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 (+.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1/2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1/2 binary32)))) (*.f32 v v)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) |
(fma.f32 (log.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
| Outputs |
|---|
(fma.f32 (log.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
4 calls:
| 27.0ms | u |
| 27.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 25.0ms | v |
| 23.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 1 | u |
| 96.3% | 1 | v |
| 96.3% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 96.3% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
Compiled 38 to 27 computations (28.9% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 (*.f32 u u) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) u)))) (*.f32 v v))) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
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(+.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v u))) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 2 binary32) #s(literal 2 binary32))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v) #s(literal 1/2 binary32))))) v))) |
(fma.f32 (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #s(literal -4 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal 2 binary32)))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) u)) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (fma.f32 (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (/.f32 (+.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) u)) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v v))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v (*.f32 u u))) (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u u)) (/.f32 #s(literal 4/3 binary32) (*.f32 u (*.f32 v (*.f32 v u))))))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v u)))))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 (+.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1/2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1/2 binary32)))) (*.f32 v v)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) |
| Outputs |
|---|
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 2 binary32)))) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)))) (*.f32 v (*.f32 v v))))) |
4 calls:
| 26.0ms | v |
| 24.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 24.0ms | u |
| 22.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 1 | u |
| 92.6% | 2 | v |
| 92.6% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 92.6% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
Compiled 38 to 27 computations (28.9% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 (*.f32 u u) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) u)))) (*.f32 v v))) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)) v) u)) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v v))) v)) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) (/.f32 u v)))) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u #s(literal -24 binary32) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v))) v)) (neg.f32 v)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 u (/.f32 #s(literal -2/3 binary32) v))) v)) v))) v) v)) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (*.f32 v #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) (*.f32 v v)) |
(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4/3 binary32)))) (*.f32 v v)) v))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal 1/6 binary32)) (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (/.f32 v (neg.f32 (/.f32 v (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 u (/.f32 #s(literal -2/3 binary32) v))) v)) v)))))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32)))) (*.f32 v v)) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u #s(literal -24 binary32) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v))) |
(+.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 1 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (*.f32 v #s(literal 2 binary32)))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 2 binary32)))) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)))) (*.f32 v v))) |
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)))) (*.f32 v v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -4/3 binary32) (neg.f32 u) #s(literal -4/3 binary32)))) (*.f32 v v)) v))) |
| Outputs |
|---|
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32)))) (*.f32 v v)) v))) |
1 calls:
| 18.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 2 | v |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 (*.f32 u u) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) u)))) (*.f32 v v))) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)) v) u)) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v v))) v)) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) (/.f32 u v)))) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u #s(literal -24 binary32) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v))) v)) (neg.f32 v)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 u (/.f32 #s(literal -2/3 binary32) v))) v)) v))) v) v)) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (*.f32 v #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) (*.f32 v v)) |
(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4/3 binary32)))) (*.f32 v v)) v))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal 1/6 binary32)) (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (/.f32 v (neg.f32 (/.f32 v (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 u (/.f32 #s(literal -2/3 binary32) v))) v)) v)))))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32)))) |
| Outputs |
|---|
#s(literal 1 binary32) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal 1/6 binary32)) (*.f32 v v)))) |
3 calls:
| 45.0ms | v |
| 30.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 16.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 92.5% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 92.5% | 2 | v |
Compiled 35 to 25 computations (28.6% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 (*.f32 u u) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) u)))) (*.f32 v v))) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)) v) u)) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v v))) v)) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) (/.f32 u v)))) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u #s(literal -24 binary32) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v))) v)) (neg.f32 v)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 u (/.f32 #s(literal -2/3 binary32) v))) v)) v))) v) v)) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (*.f32 v #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) (*.f32 v v)) |
(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4/3 binary32)))) (*.f32 v v)) v))) |
| Outputs |
|---|
#s(literal 1 binary32) |
(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))) |
3 calls:
| 23.0ms | v |
| 15.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 15.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 92.5% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 92.5% | 2 | v |
Compiled 35 to 25 computations (28.6% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 (*.f32 u u) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) u)))) (*.f32 v v))) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)) v) u)) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v v))) v)) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) (/.f32 u v)))) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u #s(literal -24 binary32) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v))) v)) (neg.f32 v)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 u (/.f32 #s(literal -2/3 binary32) v))) v)) v))) v) v)) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (*.f32 v #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal 1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) (*.f32 v v)) |
| Outputs |
|---|
#s(literal 1 binary32) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
1 calls:
| 17.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 2 | v |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 (*.f32 u u) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) u)))) (*.f32 v v))) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)) v) u)) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v v))) v)) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) (/.f32 u v)))) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u #s(literal -24 binary32) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 (/.f32 u v) #s(literal -2/3 binary32))) (neg.f32 v))) v)) (neg.f32 v)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (*.f32 u (/.f32 #s(literal -2/3 binary32) v))) v)) v))) v) v)) |
| Outputs |
|---|
#s(literal 1 binary32) |
(fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -1 binary32)) |
3 calls:
| 15.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 14.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 14.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 92.4% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 92.4% | 2 | v |
Compiled 35 to 25 computations (28.6% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 (*.f32 u u) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) u)))) (*.f32 v v))) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)) v) u)) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v v))) v)) (neg.f32 v)))) |
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
| Outputs |
|---|
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
3 calls:
| 15.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 13.0ms | v |
| 11.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 92.3% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 92.3% | 2 | v |
Compiled 35 to 25 computations (28.6% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 (*.f32 u u) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) u)))) (*.f32 v v))) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)) v) u)) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v v))) v)) (neg.f32 v)))) |
| Outputs |
|---|
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) |
#s(literal 1 binary32) |
3 calls:
| 12.0ms | v |
| 12.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 12.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 2 | v |
| 92.2% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 92.2% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
Compiled 35 to 25 computations (28.6% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 (*.f32 u u) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) u)))) (*.f32 v v))) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) |
#s(literal 1 binary32) |
3 calls:
| 11.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 11.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 10.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | v |
| 92.1% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 92.1% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
Compiled 35 to 25 computations (28.6% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) |
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u (/.f32 #s(literal -4/3 binary32) v) (*.f32 u #s(literal -2 binary32))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) v) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 (*.f32 u u) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) u)))) (*.f32 v v))) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u)))))) |
| Outputs |
|---|
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) |
#s(literal 1 binary32) |
3 calls:
| 10.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 10.0ms | v |
| 10.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | v |
| 92.1% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 92.1% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
Compiled 35 to 25 computations (28.6% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) u #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
| Outputs |
|---|
(fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) |
#s(literal 1 binary32) |
2 calls:
| 10.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 7.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 92.1% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) |
| Outputs |
|---|
(fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
#s(literal 1 binary32) |
2 calls:
| 12.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 7.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 92.1% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) |
#s(literal 1 binary32) |
3 calls:
| 7.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 7.0ms | v |
| 6.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 2 | v |
| 92.1% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 92.1% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
Compiled 35 to 25 computations (28.6% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) |
(*.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(fma.f32 (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v v)) |
(/.f32 (fma.f32 u (*.f32 v #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 v v)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))) |
| Outputs |
|---|
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
#s(literal 1 binary32) |
3 calls:
| 28.0ms | v |
| 6.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 5.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 2 | v |
| 91.9% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 91.9% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
Compiled 35 to 25 computations (28.6% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 u #s(literal 2 binary32)) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
| Outputs |
|---|
#s(literal 1 binary32) |
4 calls:
| 31.0ms | v |
| 3.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 3.0ms | u |
| 2.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 1 | u |
| 88.4% | 1 | v |
| 88.4% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 88.4% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
Compiled 38 to 27 computations (28.9% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal -1 binary32) |
| Outputs |
|---|
#s(literal -1 binary32) |
4 calls:
| 1.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 1.0ms | u |
| 1.0ms | v |
| 1.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.6% | 1 | v |
| 5.6% | 1 | u |
| 5.6% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 5.6% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
Compiled 38 to 27 computations (28.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.26117751002311707 | 0.34348511695861816 |
Compiled 20 to 17 computations (15% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.26117751002311707 | 0.34348511695861816 |
Compiled 20 to 17 computations (15% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.26117751002311707 | 0.34348511695861816 |
Compiled 20 to 17 computations (15% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.26117751002311707 | 0.34348511695861816 |
Compiled 20 to 17 computations (15% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.26117751002311707 | 0.34348511695861816 |
Compiled 20 to 17 computations (15% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.26117751002311707 | 0.34348511695861816 |
Compiled 20 to 17 computations (15% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.4728761911392212 | -0.9944527745246887 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9944527745246887 | -0.7391913533210754 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9944527745246887 | -0.7391913533210754 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.4728761911392212 | -0.9944527745246887 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.4728761911392212 | -0.9944527745246887 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.4728761911392212 | -0.9944527745246887 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.4728761911392212 | -0.9944527745246887 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.4728761911392212 | -0.9944527745246887 |
Compiled 20 to 18 computations (10% saved)
| 1× | egg-herbie |
| 62× | +-commutative_binary32 |
| 60× | *-commutative_binary32 |
| 30× | sub-neg_binary32 |
| 22× | neg-sub0_binary32 |
| 22× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 567 |
| 1 | 198 | 567 |
| 2 | 226 | 567 |
| 3 | 249 | 567 |
| 4 | 264 | 567 |
| 5 | 269 | 567 |
| 1× | saturated |
| Inputs |
|---|
(fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 2 binary32)))) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)))) (*.f32 v (*.f32 v v)))))) |
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32)))) (*.f32 v v)) v)))) |
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal 1/6 binary32)) (*.f32 v v))))) |
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))))) |
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -1 binary32))) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) #s(literal 1 binary32)) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -13421773/16777216 binary32)) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) #s(literal 1 binary32)) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -13421773/16777216 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) #s(literal 1 binary32)) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) #s(literal 1 binary32)) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) #s(literal 1 binary32)) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) #s(literal 1 binary32)) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) #s(literal 1 binary32)) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(literal -1 binary32) |
| Outputs |
|---|
(fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) v #s(literal 1 binary32)) |
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32))) (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 2 binary32)))) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)))) (*.f32 v (*.f32 v v)))))) |
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32)))) (*.f32 v v)) v)))) |
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal 1/6 binary32)) (*.f32 v v))))) |
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (*.f32 v v))))) |
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))))) |
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal 2 binary32))) #s(literal -1 binary32))) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 binary32)) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))) #s(literal 1 binary32)) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -13421773/16777216 binary32)) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)) #s(literal 1 binary32)) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -13421773/16777216 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (*.f32 v v)))) #s(literal -2 binary32))) #s(literal 1 binary32)) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) v)) #s(literal 1 binary32)) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32)) #s(literal 1 binary32)) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (fma.f32 (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) u #s(literal -1 binary32)) #s(literal 1 binary32)) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v))) #s(literal -2 binary32))) #s(literal 1 binary32)) |
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(literal -1 binary32) |
| 11 468× | accelerator-lowering-fma.f32 |
| 11 468× | accelerator-lowering-fma.f64 |
| 10 818× | accelerator-lowering-fma.f32 |
| 10 818× | accelerator-lowering-fma.f64 |
| 9 564× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 53 |
| 1 | 61 | 53 |
| 2 | 458 | 53 |
| 3 | 4873 | 53 |
| 0 | 8713 | 48 |
| 0 | 678 | 5823 |
| 1 | 2082 | 5438 |
| 2 | 6294 | 5393 |
| 0 | 8086 | 4795 |
| 0 | 712 | 6382 |
| 1 | 2139 | 6084 |
| 2 | 7034 | 6041 |
| 0 | 8523 | 5657 |
| 0 | 337 | 3014 |
| 1 | 935 | 2793 |
| 2 | 3014 | 2668 |
| 0 | 8317 | 2386 |
| 0 | 63 | 368 |
| 1 | 408 | 356 |
| 2 | 4432 | 354 |
| 0 | 8713 | 318 |
| 0 | 46 | 239 |
| 1 | 293 | 222 |
| 2 | 2869 | 216 |
| 0 | 9372 | 186 |
| 0 | 727 | 7263 |
| 1 | 2160 | 6985 |
| 2 | 7027 | 6916 |
| 0 | 8605 | 6420 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 051 to 494 computations (53% saved)
Compiled 1 172 to 316 computations (73% saved)
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