
Time bar (total: 12.7s)
| 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)
| 1.1s | 8 256× | 0 | valid |
const: 244.0ms (28.5% of total)ival-mult: 122.0ms (14.2% of total)ival-exp: 94.0ms (11% of total)ival-log: 87.0ms (10.2% of total)ival-<=: 86.0ms (10% of total)ival-add: 73.0ms (8.5% of total)ival-div: 70.0ms (8.2% of total)ival-sub: 43.0ms (5% of total)ival-and: 24.0ms (2.8% of total)exact: 12.0ms (1.4% of total)ival-assert: 3.0ms (0.4% of total)| 1× | egg-herbie |
| 500× | accelerator-lowering-fma.f32 |
| 500× | accelerator-lowering-fma.f64 |
| 346× | div-sub |
| 312× | sub-neg |
| 302× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 85 |
| 1 | 67 | 75 |
| 2 | 156 | 75 |
| 3 | 387 | 75 |
| 4 | 940 | 75 |
| 5 | 1672 | 75 |
| 6 | 2270 | 75 |
| 7 | 2543 | 75 |
| 8 | 2691 | 75 |
| 9 | 2731 | 75 |
| 10 | 2759 | 75 |
| 11 | 2780 | 75 |
| 12 | 2780 | 75 |
| 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)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 3 | 4 | (0.0005585566395893693 0.012839686125516891) | 3 | (0.24015286564826965 0.027590252459049225) | (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 1 binary32) (*.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 #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 | 4 | 8 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 1 |
| - | 4 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 1 | 0 |
| - | 4 | 8 | 243 |
| number | freq |
|---|---|
| 0 | 252 |
| 1 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 512× | 0 | valid |
Compiled 180 to 52 computations (71.1% saved)
ival-mult: 9.0ms (28.1% of total)ival-add: 5.0ms (15.6% of total)ival-log: 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)ival-true: 1.0ms (3.1% of total)exact: 1.0ms (3.1% of total)ival-assert: 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 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))))))) |
| 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))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(- 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 | 99.9% | (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
| ✓ | accuracy | 99.8% | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
| ✓ | accuracy | 99.6% | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| ✓ | accuracy | 99.1% | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 24.0ms | 256× | 0 | valid |
Compiled 73 to 14 computations (80.8% saved)
ival-div: 5.0ms (30.6% of total)ival-mult: 3.0ms (18.4% of total)ival-add: 2.0ms (12.2% of total)ival-exp: 2.0ms (12.2% of total)ival-log: 2.0ms (12.2% of total)ival-sub: 1.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))> |
#<alt (+ 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))> |
#<alt (* (- 1 u) (exp (/ -2 v)))> |
| Outputs |
|---|
#<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 (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 (* 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)))> |
#<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)> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | v | @ | 0 | (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) |
| 7.0ms | v | @ | 0 | (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
| 2.0ms | u | @ | inf | (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
| 2.0ms | v | @ | 0 | (+ u (* (- 1 u) (exp (/ -2 v)))) |
| 1.0ms | v | @ | 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 | 61 |
| 1 | 61 | 61 |
| 2 | 458 | 61 |
| 3 | 4871 | 61 |
| 0 | 8714 | 55 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
(+ u (* (- 1 u) (exp (/ -2 v)))) |
(* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) |
(log (+ u (* (- 1 u) (exp (/ -2 v))))) |
(exp (/ -2 v)) |
(* (- 1 u) (exp (/ -2 v))) |
| Outputs |
|---|
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (neg.f32 (fma.f32 v (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) 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))) #s(literal 1 binary32))))) |
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32))) (neg.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32))))) |
(neg.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) (fma.f32 v (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) 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))) #s(literal 1 binary32)))) |
(neg.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #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)))) #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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32))) (neg.f32 (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32))))) |
(pow.f32 (/.f32 #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))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #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))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (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)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) 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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32))) (neg.f32 (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (*.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) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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)) (neg.f32 (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (*.f32 v v) v) #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32))))) |
(fma.f32 (exp.f32 (log.f32 v)) (exp.f32 (log.f32 (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 (exp.f32 (log.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)))) (exp.f32 (log.f32 v)) #s(literal 1 binary32)) |
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32))) (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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))) (/.f32 #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)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #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)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #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))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (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)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (fma.f32 v (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) 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))) #s(literal 1 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32))) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #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))))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 v (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) 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))) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32)))) |
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(/.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 u (*.f32 u u) #s(literal 1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) |
(/.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 #s(literal 1 binary32) u))) |
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (*.f32 u (*.f32 u u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))))) (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 u u) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))))) |
(/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 (*.f32 u u) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) |
(/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) |
(/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal -1 binary32) (*.f32 u u))) (neg.f32 (+.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (neg.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (+.f32 #s(literal 1 binary32) u))) |
(/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (log1p.f32 (*.f32 u (*.f32 u u))))) (exp.f32 (log1p.f32 (fma.f32 u u u)))) |
(/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (log1p.f32 (*.f32 u (neg.f32 u))))) (exp.f32 (log1p.f32 u))) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (log1p.f32 u))) |
(*.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u))) |
(*.f32 (+.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(*.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 #s(literal 1 binary32) (fma.f32 u u u)))) |
(*.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) |
(*.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))) |
(*.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))) |
(*.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 #s(literal 1 binary32) u)) |
(*.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))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) |
(*.f32 (exp.f32 (log1p.f32 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
| 1× | egg-herbie |
| 12 100× | accelerator-lowering-fma.f32 |
| 12 100× | accelerator-lowering-fma.f64 |
| 6 362× | +-lowering-+.f64 |
| 6 362× | +-lowering-+.f32 |
| 4 490× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 348 | 3329 |
| 1 | 979 | 3050 |
| 2 | 3105 | 2930 |
| 0 | 8179 | 2642 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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))))))) |
(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))) |
(* 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))) |
(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) |
| Outputs |
|---|
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))) |
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1 |
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(/.f32 (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 #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)))) 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 -2 binary32) (-.f32 #s(literal 1 binary32) 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 #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))) (*.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) 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 #s(literal 1 binary32) u) #s(literal 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))) (/.f32 #s(literal -1/2 binary32) v))) (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 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (neg.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))) (*.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 (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 (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)))))) (neg.f32 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)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) |
(+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) |
(+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) |
(* -1 (* u (exp (/ -2 v)))) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) |
(* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))) |
(*.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))) |
(*.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))) |
(*.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(* -1 (* u (exp (/ -2 v)))) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) |
(* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))))) |
(*.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))))) |
(*.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))))) |
(*.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(* (exp (/ -2 v)) (- 1 u)) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) |
(* (exp (/ -2 v)) (- 1 u)) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) |
(* (exp (/ -2 v)) (- 1 u)) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) |
(* (exp (/ -2 v)) (- 1 u)) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* -2 (/ (- 1 u) v))) u) |
(fma.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 #s(literal 1 binary32) u)) |
(- (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) u) |
(-.f32 (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)) u) |
(- (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) u) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -4/3 binary32) v)) (fma.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 #s(literal 1 binary32) u))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* -2 (/ (- 1 u) v))) u) |
(fma.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 #s(literal 1 binary32) u)) |
(- (+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) u) |
(-.f32 (-.f32 #s(literal 1 binary32) u) (/.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))) u) |
(-.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 u) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -4/3 binary32) (fma.f32 #s(literal 2 binary32) (neg.f32 u) #s(literal 2 binary32))) v)) v)) |
Compiled 15 784 to 1 840 computations (88.3% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 412 | 19 | 431 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 413 | 19 | 432 |
| Status | Accuracy | Program |
|---|---|---|
| 10.7% | (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)) | |
| ▶ | 99.6% | (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)) |
| 5.6% | (fma.f32 u (fma.f32 u (fma.f32 v (/.f32 (*.f32 #s(literal -1/2 binary32) (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)))) (*.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)) | |
| ▶ | 14.2% | (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))) |
| 8.2% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) | |
| 12.2% | (-.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)) | |
| 11.6% | (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (-.f32 (*.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))) v)) v)) | |
| 10.7% | (+.f32 #s(literal 1 binary32) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))) | |
| ▶ | 12.2% | (+.f32 #s(literal 1 binary32) (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 #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))))) |
| 12.2% | (+.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)))) | |
| ▶ | 10.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))) |
| 12.1% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (neg.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))) (*.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)))) | |
| 13.5% | (+.f32 #s(literal 1 binary32) (*.f32 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))) v))) | |
| 8.2% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) | |
| 98.8% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) u)))) | |
| 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)))) | |
| 96.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) | |
| 87.9% | #s(literal 1 binary32) | |
| ▶ | 5.9% | #s(literal -1 binary32) |
Compiled 1 010 to 588 computations (41.8% 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 | 128 | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 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 | 288 | (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))) |
| ✓ | 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 (-.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 | 128 | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) |
| ✓ | cost-diff | 256 | (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 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| ✓ | cost-diff | 0 | (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
| ✓ | cost-diff | 0 | (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
| ✓ | cost-diff | 0 | (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)) |
| 19 476× | accelerator-lowering-fma.f32 |
| 19 476× | accelerator-lowering-fma.f64 |
| 3 930× | +-lowering-+.f64 |
| 3 930× | +-lowering-+.f32 |
| 3 176× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 426 |
| 1 | 122 | 390 |
| 2 | 370 | 342 |
| 3 | 1328 | 326 |
| 4 | 5652 | 326 |
| 0 | 8397 | 289 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) |
v |
(log (+ (* (exp (/ -2 v)) (- 1 u)) u)) |
(+ (* (exp (/ -2 v)) (- 1 u)) u) |
(exp (/ -2 v)) |
(/ -2 v) |
-2 |
(- 1 u) |
1 |
u |
-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 (+ (* 1/6 (/ (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)))) |
1 |
(+ (* 1/6 (/ (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))) |
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) |
u |
-8 |
(* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)) |
(* (- 1 u) (- 1 u)) |
(+ (* (- 1 u) -16) 24) |
-16 |
24 |
(* v v) |
v |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(+ (* (- 1 u) -4) 4) |
-4 |
4 |
(/ 1/2 v) |
1/2 |
(+ (* -2 (neg u)) -2) |
-2 |
(neg u) |
(+ 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 |
|---|
(+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) |
(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)) |
v |
(log (+ (* (exp (/ -2 v)) (- 1 u)) u)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(+ (* (exp (/ -2 v)) (- 1 u)) u) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) 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) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
-1 |
#s(literal -1 binary32) |
(+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 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 u (neg.f32 u)) #s(literal 1 binary32)) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) |
(+ (* (- 1 u) -4) 4) |
(*.f32 u #s(literal 4 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 (+ (* 1/6 (/ (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) (fma.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))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32))) |
1 |
#s(literal 1 binary32) |
(+ (* 1/6 (/ (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))) |
(fma.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))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)))) |
1/6 |
#s(literal 1/6 binary32) |
(/ (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) (* 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))) (*.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) |
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)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) 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) |
(* v v) |
(*.f32 v v) |
v |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) |
(+ (* (- 1 u) -4) 4) |
(*.f32 u #s(literal 4 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) |
(+ (* -2 (neg u)) -2) |
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) |
-2 |
#s(literal -2 binary32) |
(neg u) |
(neg.f32 u) |
(+ 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% | (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) |
| ✓ | 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 | 99.5% | (expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
| ✓ | accuracy | 98.6% | (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
| ✓ | accuracy | 97.8% | (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 #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)))) |
| ✓ | accuracy | 81.8% | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) |
| ✓ | accuracy | 80.2% | (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 | 99.6% | (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))) |
| ✓ | accuracy | 99.4% | (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) |
| ✓ | accuracy | 98.8% | (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 | 81.8% | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) |
| ✓ | accuracy | 100.0% | (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
| ✓ | accuracy | 99.8% | (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
| ✓ | accuracy | 99.8% | (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)) |
| ✓ | accuracy | 99.6% | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| 86.0ms | 256× | 0 | valid |
Compiled 382 to 52 computations (86.4% saved)
ival-mult: 26.0ms (38.5% of total)ival-add: 13.0ms (19.2% of total)ival-log: 9.0ms (13.3% of total)ival-div: 7.0ms (10.4% of total)const: 4.0ms (5.9% of total)ival-exp: 2.0ms (3% of total)ival-expm1: 2.0ms (3% of total)ival-sub: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1)> |
#<alt (log (+ (* (exp (/ -2 v)) (- 1 u)) u))> |
#<alt (+ (* (exp (/ -2 v)) (- 1 u)) u)> |
#<alt (exp (/ -2 v))> |
#<alt (+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1))> |
#<alt (+ (* (- 1 u) -4) 4)> |
#<alt (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1)> |
#<alt (* (- 1 u) (+ (* (- 1 u) -4) 4))> |
#<alt (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))> |
#<alt (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24)))> |
#<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 (+ (* 1/6 (/ (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)))> |
#<alt (* (- 1 u) (- 1 u))> |
| Outputs |
|---|
#<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 (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 (/ -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 (+ 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 (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 (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 -1> |
#<alt (- (* u (+ 2 (* 2 (/ 1 v)))) 1)> |
#<alt (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1)> |
#<alt (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1)> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2)))))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2)))))> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))> |
#<alt (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))> |
#<alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)> |
#<alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)> |
#<alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 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)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 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)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) 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 1> |
#<alt (+ 1 (* 2 (/ u v)))> |
#<alt (+ 1 (* u (+ (* -2 (/ u v)) (* 2 (/ 1 v)))))> |
#<alt (+ 1 (* u (+ (* -2 (/ u v)) (* 2 (/ 1 v)))))> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (+ (/ 1 (pow u 2)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (+ (/ 1 (pow u 2)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (+ (/ 1 (pow u 2)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (+ (/ 1 (pow u 2)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))> |
#<alt (/ (+ v (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v)> |
#<alt (/ (+ v (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v)> |
#<alt (/ (+ v (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v)> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))> |
#<alt (+ 1 (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))> |
#<alt (+ 1 (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))> |
#<alt (+ 1 (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))> |
#<alt (+ 1 (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))> |
#<alt (* 4 u)> |
#<alt (* u (+ 4 (* -4 u)))> |
#<alt (* u (+ 4 (* -4 u)))> |
#<alt (* u (+ 4 (* -4 u)))> |
#<alt (* -4 (pow u 2))> |
#<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 (* -4 (pow u 2))> |
#<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 -2> |
#<alt (- (* u (+ 2 (* 2 (/ 1 v)))) 2)> |
#<alt (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2)> |
#<alt (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2)> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2)))))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2)))))> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))> |
#<alt (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))> |
#<alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v)> |
#<alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v)> |
#<alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v)> |
#<alt (- (* 2 u) 2)> |
#<alt (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2)> |
#<alt (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2)> |
#<alt (- (+ (* 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 (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2)> |
#<alt (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 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))> |
#<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 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 -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)> |
#<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))))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | v | @ | -inf | (+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1)) |
| 1.0ms | v | @ | -inf | (* v (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v))) |
| 1.0ms | u | @ | 0 | (* v (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v))) |
| 1.0ms | v | @ | 0 | (+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1)) |
| 1.0ms | v | @ | 0 | (+ (* 1/6 (/ (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))) |
| 1× | batch-egg-rewrite |
| 3 902× | /-lowering-/.f32 |
| 3 902× | /-lowering-/.f64 |
| 3 638× | accelerator-lowering-fma.f32 |
| 3 638× | accelerator-lowering-fma.f64 |
| 3 436× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 247 |
| 1 | 306 | 229 |
| 2 | 3127 | 223 |
| 0 | 8153 | 194 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) |
(log (+ (* (exp (/ -2 v)) (- 1 u)) u)) |
(+ (* (exp (/ -2 v)) (- 1 u)) u) |
(exp (/ -2 v)) |
(+ (* -2 (- 1 u)) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1)) |
(+ (* (- 1 u) -4) 4) |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) 1) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) |
(+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) |
(+ (* (- 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) |
(+ (* 1/6 (/ (+ (* (- 1 u) -8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))) |
(* (- 1 u) (- 1 u)) |
| Outputs |
|---|
(+.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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (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)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32))) #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 v (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.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))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (*.f32 v #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (*.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) #s(literal 1 binary32)) |
(-.f32 (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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))) (/.f32 #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)))) |
(-.f32 (/.f32 #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 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (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)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (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)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #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))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32))) (neg.f32 (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)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 (neg.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (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))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) (neg.f32 (-.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 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)) (/.f32 #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)))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.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 u (*.f32 u u) (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (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 u (*.f32 u u) (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.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 (log.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))) (neg.f32 (*.f32 u u)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.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 u (*.f32 u u) (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (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 u (*.f32 u u) (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (log.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.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 (log.f32 (fma.f32 u (*.f32 u u) (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (log.f32 (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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) u)))))) |
(-.f32 (log.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))) (neg.f32 (*.f32 u u)))) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)))) |
(-.f32 (log.f32 (neg.f32 (fma.f32 u (*.f32 u u) (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))) (log.f32 (neg.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.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 (log.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))) (neg.f32 (*.f32 u u))))) (log.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u))))) |
(-.f32 (log.f32 (-.f32 (*.f32 u u) (*.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)))))) (log.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) |
(pow.f32 (/.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.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 u (*.f32 u u) (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) #s(literal -1 binary32)) |
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(/.f32 (neg.f32 (-.f32 (*.f32 (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 (-.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)))) (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 (-.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 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (-.f32 (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 (-.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)))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))) |
(*.f32 (fma.f32 (*.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 (*.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 (-.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 (*.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 (*.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 (*.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 (*.f32 v (*.f32 v v)) (*.f32 v (*.f32 v v))))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.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 (*.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 (*.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 (*.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 (*.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 (*.f32 v v) (*.f32 v v)))))) |
(*.f32 (-.f32 (/.f32 (*.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 (*.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 (*.f32 v v) (*.f32 v v))) (*.f32 (*.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 (-.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 (-.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 (-.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)))))))) |
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 2 binary32))) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 u))) |
(+.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) u))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) |
(pow.f32 (exp.f32 (log1p.f32 (neg.f32 u))) #s(literal 2 binary32)) |
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 u))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 #s(literal 1 binary32) u))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (+.f32 #s(literal 1 binary32) u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
(*.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) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) #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 |
| 8 780× | accelerator-lowering-fma.f32 |
| 8 780× | accelerator-lowering-fma.f64 |
| 4 798× | *-lowering-*.f32 |
| 4 798× | *-lowering-*.f64 |
| 3 874× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 669 | 5406 |
| 1 | 1955 | 5136 |
| 2 | 6268 | 5092 |
| 0 | 8110 | 4568 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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))))))) |
(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)) |
(/ -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)))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
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(+ u (* (exp (/ -2 v)) (- 1 u))) |
1 |
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(+ 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))) |
(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))) |
(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))) |
-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)))) |
(* 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 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) |
(* 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)) |
-2 |
(- (* u (+ 2 (* 2 (/ 1 v)))) 2) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2) |
(* -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)) (/ 2 (pow u 2))))) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2))))) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 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 (- (* 2 u) 2))) v) |
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v) |
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v) |
(- (* 2 u) 2) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 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) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 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)))) |
-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)) |
-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) |
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 |
|---|
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 u #s(literal 2 binary32) #s(literal -1 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)) (fma.f32 u #s(literal 2 binary32) #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))))) |
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#s(literal 8 binary32) |
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#s(literal -2 binary32) |
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#s(literal -2 binary32) |
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#s(literal -1 binary32) |
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#s(literal -1 binary32) |
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(fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
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(/ (+ 2 (* 2 (/ 1 v))) v) |
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(/ 2 v) |
(/.f32 #s(literal 2 binary32) v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
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-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) (/.f32 #s(literal 2 binary32) v)) (/.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) |
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(- (* 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) |
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(* 8/3 (/ (pow u 3) (pow v 2))) |
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(* (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)))))) |
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(* (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))))))) |
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(* 8/3 (/ (pow u 3) (pow v 2))) |
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(- (* 2 u) 2) |
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(- (* 2 u) 2) |
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) |
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(- (+ (* -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) |
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1 |
#s(literal 1 binary32) |
(+ 1 (* -2 u)) |
(fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) |
(+ 1 (* u (- u 2))) |
(fma.f32 u (+.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)) |
(+ 1 (* u (- u 2))) |
(fma.f32 u (+.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)) |
(pow u 2) |
(*.f32 u u) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(*.f32 (*.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 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) u))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) u))) |
(pow u 2) |
(*.f32 u u) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u 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 44 951 to 3 287 computations (92.7% saved)
38 alts after pruning (36 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 979 | 31 | 1 010 |
| Fresh | 9 | 5 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 991 | 38 | 1 029 |
| Status | Accuracy | Program |
|---|---|---|
| 14.2% | (fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.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))) | |
| 10.7% | (fma.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u #s(literal -1 binary32)) | |
| ✓ | 99.6% | (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)) |
| 95.0% | (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #s(literal 1 binary32)) | |
| ▶ | 12.3% | (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
| 14.2% | (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) | |
| 14.1% | (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) | |
| 8.2% | (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) | |
| 14.2% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (neg.f32 u))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) | |
| 14.1% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) | |
| 8.2% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) | |
| 99.4% | (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #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))) | |
| 11.8% | (-.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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v)) | |
| 11.6% | (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (-.f32 (*.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))) v)) v)) | |
| 11.5% | (+.f32 (fma.f32 u #s(literal 2 binary32) #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 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) (*.f32 v (*.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)) (/.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)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32))) (*.f32 v v))))) | |
| ▶ | 99.5% | (+.f32 (*.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)) |
| 12.2% | (+.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #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 (-.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)))))) | |
| 11.8% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.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)))) | |
| 12.3% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) | |
| 14.1% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) | |
| 9.3% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (fma.f32 u (-.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))) | |
| 12.1% | (+.f32 #s(literal 1 binary32) (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 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))))) | |
| 10.5% | (+.f32 #s(literal 1 binary32) (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)) #s(literal -2 binary32))) | |
| ▶ | 12.1% | (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) |
| 12.2% | (+.f32 #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 (*.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))))) | |
| 12.5% | (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) | |
| 11.8% | (+.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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v))) | |
| 12.3% | (+.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 u (/.f32 #s(literal -4/3 binary32) v))) v))) | |
| 12.2% | (+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (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 (-.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)))) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u))) | |
| 2.4% | (+.f32 #s(literal 1 binary32) (*.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))))) | |
| 13.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)))) | |
| 12.1% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32)) v))) | |
| 98.8% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) u)))) | |
| 96.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) | |
| ▶ | 14.2% | (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))) |
| 11.1% | (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) | |
| ▶ | 87.9% | #s(literal 1 binary32) |
| ✓ | 5.9% | #s(literal -1 binary32) |
Compiled 1 904 to 1 139 computations (40.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 160 | (*.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))) |
| ✓ | cost-diff | 288 | (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))) |
| ✓ | cost-diff | 320 | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal -2 binary32) v) |
| ✓ | cost-diff | 0 | (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u)) |
| ✓ | cost-diff | 0 | (*.f32 u u) |
| ✓ | cost-diff | 1184 | (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 2 binary32) v) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) |
| ✓ | cost-diff | 0 | (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
| ✓ | cost-diff | 64 | (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
| ✓ | cost-diff | 0 | (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
| ✓ | cost-diff | 0 | (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) |
| ✓ | cost-diff | 64 | (+.f32 (*.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)) |
| 23 164× | accelerator-lowering-fma.f32 |
| 23 164× | accelerator-lowering-fma.f64 |
| 3 800× | +-lowering-+.f64 |
| 3 800× | +-lowering-+.f32 |
| 3 060× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 381 |
| 1 | 130 | 377 |
| 2 | 358 | 317 |
| 3 | 1179 | 299 |
| 4 | 4185 | 285 |
| 0 | 8607 | 266 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) |
(* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) |
v |
(log (+ (* (exp (/ -2 v)) (- 1 u)) u)) |
(+ (* (exp (/ -2 v)) (- 1 u)) u) |
(exp (/ -2 v)) |
(/ -2 v) |
-2 |
(- 1 u) |
1 |
u |
1 |
(+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) |
u |
(+ (+ 2 (/ 2 v)) (/ 4/3 (* v v))) |
(+ 2 (/ 2 v)) |
2 |
(/ 2 v) |
v |
(/ 4/3 (* v v)) |
4/3 |
(* v v) |
-1 |
(* (* u u) (- (/ -2 v) (/ (+ (/ 1 u) (+ -2 (/ -2 v))) u))) |
(* u u) |
u |
(- (/ -2 v) (/ (+ (/ 1 u) (+ -2 (/ -2 v))) u)) |
(/ -2 v) |
-2 |
v |
(/ (+ (/ 1 u) (+ -2 (/ -2 v))) u) |
(+ (/ 1 u) (+ -2 (/ -2 v))) |
(/ 1 u) |
1 |
(+ -2 (/ -2 v)) |
(+ 1 (+ (* 1/6 (/ (+ (* (- 1 u) -8) (* 1 (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)))) |
1 |
(+ (* 1/6 (/ (+ (* (- 1 u) -8) (* 1 (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))) |
1/6 |
(/ (+ (* (- 1 u) -8) (* 1 (+ (* (- 1 u) -16) 24))) (* v v)) |
(+ (* (- 1 u) -8) (* 1 (+ (* (- 1 u) -16) 24))) |
(- 1 u) |
u |
-8 |
(* 1 (+ (* (- 1 u) -16) 24)) |
(+ (* (- 1 u) -16) 24) |
-16 |
24 |
(* v v) |
v |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(+ (* (- 1 u) -4) 4) |
-4 |
4 |
(/ 1/2 v) |
1/2 |
(+ (* -2 (neg u)) -2) |
-2 |
(neg u) |
| Outputs |
|---|
(+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) |
(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)) |
(* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) |
(*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) |
v |
(log (+ (* (exp (/ -2 v)) (- 1 u)) u)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(+ (* (exp (/ -2 v)) (- 1 u)) u) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) 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) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
1 |
#s(literal 1 binary32) |
(+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) |
(fma.f32 u #s(literal 2 binary32) (fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) #s(literal -1 binary32))) |
u |
(+ (+ 2 (/ 2 v)) (/ 4/3 (* v v))) |
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v))) |
(+ 2 (/ 2 v)) |
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) |
2 |
#s(literal 2 binary32) |
(/ 2 v) |
(/.f32 #s(literal 2 binary32) 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) |
-1 |
#s(literal -1 binary32) |
(* (* u u) (- (/ -2 v) (/ (+ (/ 1 u) (+ -2 (/ -2 v))) u))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)) |
(* u u) |
(*.f32 u u) |
u |
(- (/ -2 v) (/ (+ (/ 1 u) (+ -2 (/ -2 v))) u)) |
(+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 #s(literal 2 binary32) v))) u)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
-2 |
#s(literal -2 binary32) |
v |
(/ (+ (/ 1 u) (+ -2 (/ -2 v))) u) |
(/.f32 (+.f32 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 1 binary32) u))) u) |
(+ (/ 1 u) (+ -2 (/ -2 v))) |
(+.f32 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 1 binary32) u))) |
(/ 1 u) |
(/.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
(+ -2 (/ -2 v)) |
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) |
(+ 1 (+ (* 1/6 (/ (+ (* (- 1 u) -8) (* 1 (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)))) |
(+.f32 (/.f32 (*.f32 u #s(literal 4 binary32)) (*.f32 v v)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))) |
1 |
#s(literal 1 binary32) |
(+ (* 1/6 (/ (+ (* (- 1 u) -8) (* 1 (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) (/.f32 (*.f32 u #s(literal 4 binary32)) (*.f32 v v))) |
1/6 |
#s(literal 1/6 binary32) |
(/ (+ (* (- 1 u) -8) (* 1 (+ (* (- 1 u) -16) 24))) (* v v)) |
(/.f32 (*.f32 u #s(literal 24 binary32)) (*.f32 v v)) |
(+ (* (- 1 u) -8) (* 1 (+ (* (- 1 u) -16) 24))) |
(*.f32 u #s(literal 24 binary32)) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
u |
-8 |
#s(literal -8 binary32) |
(* 1 (+ (* (- 1 u) -16) 24)) |
(fma.f32 u #s(literal 16 binary32) #s(literal 8 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 |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) |
(+ (* (- 1 u) -4) 4) |
(*.f32 u #s(literal 4 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) |
(+ (* -2 (neg u)) -2) |
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) |
-2 |
#s(literal -2 binary32) |
(neg u) |
(neg.f32 u) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.8% | (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))) |
| ✓ | accuracy | 98.3% | (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))) |
| ✓ | accuracy | 81.8% | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) |
| ✓ | accuracy | 81.8% | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) |
| ✓ | accuracy | 99.7% | (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) |
| ✓ | accuracy | 99.2% | (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u) |
| ✓ | accuracy | 98.6% | (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u)) |
| ✓ | accuracy | 94.0% | (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))) |
| ✓ | accuracy | 100.0% | (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) |
| ✓ | accuracy | 99.8% | (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) |
| ✓ | accuracy | 99.2% | (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
| ✓ | accuracy | 96.9% | (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
| ✓ | accuracy | 99.9% | (+.f32 (*.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)) |
| ✓ | accuracy | 99.8% | (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
| ✓ | accuracy | 99.6% | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| ✓ | accuracy | 99.1% | (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) |
| 83.0ms | 256× | 0 | valid |
Compiled 364 to 56 computations (84.6% saved)
ival-mult: 19.0ms (30.3% of total)ival-add: 16.0ms (25.5% of total)ival-div: 12.0ms (19.1% of total)const: 7.0ms (11.2% of total)ival-log: 3.0ms (4.8% of total)ival-exp: 2.0ms (3.2% of total)ival-sub: 2.0ms (3.2% of total)exact: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1)> |
#<alt (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u)))> |
#<alt (log (+ (* (exp (/ -2 v)) (- 1 u)) u))> |
#<alt (+ (* (exp (/ -2 v)) (- 1 u)) u)> |
#<alt (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)> |
#<alt (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))> |
#<alt (+ 2 (/ 2 v))> |
#<alt (/ 2 v)> |
#<alt (* (* u u) (- (/ -2 v) (/ (+ (/ 1 u) (+ -2 (/ -2 v))) u)))> |
#<alt (* u u)> |
#<alt (- (/ -2 v) (/ (+ (/ 1 u) (+ -2 (/ -2 v))) u))> |
#<alt (/ -2 v)> |
#<alt (+ (* (- 1 u) -8) (* 1 (+ (* (- 1 u) -16) 24)))> |
#<alt (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))> |
#<alt (+ (* 1/6 (/ (+ (* (- 1 u) -8) (* 1 (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)))> |
#<alt (* 1 (+ (* (- 1 u) -16) 24))> |
#<alt (exp (/ -2 v))> |
#<alt (/ 4/3 (* v v))> |
#<alt (/ (+ (/ 1 u) (+ -2 (/ -2 v))) u)> |
#<alt (+ (/ 1 u) (+ -2 (/ -2 v)))> |
#<alt (+ (* (- 1 u) -4) 4)> |
| Outputs |
|---|
#<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 (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 (/ -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 (+ 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 (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 -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 (/ 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 (/ 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 (* 2 v)) v)> |
#<alt (/ (+ 2 (* 2 v)) v)> |
#<alt (/ (+ 2 (* 2 v)) v)> |
#<alt 2> |
#<alt (+ 2 (* 2 (/ 1 v)))> |
#<alt (+ 2 (* 2 (/ 1 v)))> |
#<alt (+ 2 (* 2 (/ 1 v)))> |
#<alt 2> |
#<alt (+ 2 (* 2 (/ 1 v)))> |
#<alt (+ 2 (* 2 (/ 1 v)))> |
#<alt (+ 2 (* 2 (/ 1 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 (/ 2 v)> |
#<alt -1> |
#<alt (- (* u (+ 2 (* 2 (/ 1 v)))) 1)> |
#<alt (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1)> |
#<alt (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1)> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2)))))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2)))))> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* -1 (/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* -1 (/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)) (* 2 (/ 1 v))))> |
#<alt (/ (* (pow u 2) (- (* 2 (/ 1 u)) 2)) v)> |
#<alt (/ (+ (* (pow u 2) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) (* (pow u 2) (- (* 2 (/ 1 u)) 2))) v)> |
#<alt (/ (+ (* (pow u 2) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) (* (pow u 2) (- (* 2 (/ 1 u)) 2))) v)> |
#<alt (/ (+ (* (pow u 2) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) (* (pow u 2) (- (* 2 (/ 1 u)) 2))) v)> |
#<alt (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))> |
#<alt (+ (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))) (/ (* (pow u 2) (- (* 2 (/ 1 u)) 2)) v))> |
#<alt (+ (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))) (/ (* (pow u 2) (- (* 2 (/ 1 u)) 2)) v))> |
#<alt (+ (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))) (/ (* (pow u 2) (- (* 2 (/ 1 u)) 2)) v))> |
#<alt (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))> |
#<alt (+ (* -1 (/ (* (pow u 2) (- 2 (* 2 (/ 1 u)))) v)) (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))))> |
#<alt (+ (* -1 (/ (* (pow u 2) (- 2 (* 2 (/ 1 u)))) v)) (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))))> |
#<alt (+ (* -1 (/ (* (pow u 2) (- 2 (* 2 (/ 1 u)))) v)) (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))))> |
#<alt (pow u 2)> |
#<alt (pow u 2)> |
#<alt (pow u 2)> |
#<alt (pow u 2)> |
#<alt (pow u 2)> |
#<alt (pow u 2)> |
#<alt (pow u 2)> |
#<alt (pow u 2)> |
#<alt (pow u 2)> |
#<alt (pow u 2)> |
#<alt (pow u 2)> |
#<alt (pow u 2)> |
#<alt (/ (- (* 2 (/ 1 u)) 2) v)> |
#<alt (/ (- (+ (* 2 (/ 1 u)) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) 2) v)> |
#<alt (/ (- (+ (* 2 (/ 1 u)) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) 2) v)> |
#<alt (/ (- (+ (* 2 (/ 1 u)) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) 2) v)> |
#<alt (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))> |
#<alt (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2))))> |
#<alt (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2))))> |
#<alt (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2))))> |
#<alt (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))> |
#<alt (- (+ (* -1 (/ (- 2 (* 2 (/ 1 u))) v)) (* 2 (/ 1 u))) (/ 1 (pow u 2)))> |
#<alt (- (+ (* -1 (/ (- 2 (* 2 (/ 1 u))) v)) (* 2 (/ 1 u))) (/ 1 (pow u 2)))> |
#<alt (- (+ (* -1 (/ (- 2 (* 2 (/ 1 u))) v)) (* 2 (/ 1 u))) (/ 1 (pow u 2)))> |
#<alt (/ -1 (pow u 2))> |
#<alt (/ (- (* u (+ 2 (* 2 (/ 1 v)))) 1) (pow u 2))> |
#<alt (/ (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1) (pow u 2))> |
#<alt (/ (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1) (pow u 2))> |
#<alt (/ -2 v)> |
#<alt (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))> |
#<alt (- (* -1 (/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)) (* 2 (/ 1 v)))> |
#<alt (- (* -1 (/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)) (* 2 (/ 1 v)))> |
#<alt (/ -2 v)> |
#<alt (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))> |
#<alt (- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v)))> |
#<alt (- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 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 (/ -2 v)> |
#<alt (* 24 u)> |
#<alt (* 24 u)> |
#<alt (* 24 u)> |
#<alt (* 24 u)> |
#<alt (* 24 u)> |
#<alt (* 24 u)> |
#<alt (* 24 u)> |
#<alt (* 24 u)> |
#<alt (* 24 u)> |
#<alt (* 24 u)> |
#<alt (* 24 u)> |
#<alt (* 24 u)> |
#<alt -2> |
#<alt (- (* u (+ 2 (* 2 (/ 1 v)))) 2)> |
#<alt (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2)> |
#<alt (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2)> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2)))))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2)))))> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))> |
#<alt (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))> |
#<alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v)> |
#<alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v)> |
#<alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v)> |
#<alt (- (* 2 u) 2)> |
#<alt (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2)> |
#<alt (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2)> |
#<alt (- (+ (* 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 (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2)> |
#<alt (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2)> |
#<alt -2> |
#<alt (- (* u (+ 2 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) 2)> |
#<alt (- (* u (+ 2 (+ (* -2 (/ u v)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))) 2)> |
#<alt (- (* u (+ 2 (+ (* -2 (/ u v)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))) 2)> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2)))))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2)))))> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) u)) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) u)) (* 2 (/ 1 v))))> |
#<alt (* 1/6 (/ (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u)))) (pow v 2)))> |
#<alt (/ (+ (* 1/6 (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u))))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2))> |
#<alt (/ (+ (* 1/6 (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u))))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))))) (pow v 2))> |
#<alt (/ (+ (* 1/6 (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u))))) (* 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 (/ (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u)))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 2)> |
#<alt (- (+ (* 1/6 (/ (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u)))) (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 (/ (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u)))) v))) v)) (* 2 u)) 2)> |
#<alt (- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u)))) v))) v)) (* 2 u)) 2)> |
#<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 (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 (/ 1 (pow u 2))> |
#<alt (/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) (pow u 2))> |
#<alt (/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) (pow u 2))> |
#<alt (/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) (pow u 2))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 v))) u))> |
#<alt (/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)> |
#<alt (/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)> |
#<alt (/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 v))) u))> |
#<alt (* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u))> |
#<alt (* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u))> |
#<alt (* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u))> |
#<alt (/ -2 (* u v))> |
#<alt (/ (- (* v (- (/ 1 (pow u 2)) (* 2 (/ 1 u)))) (* 2 (/ 1 u))) v)> |
#<alt (/ (- (* v (- (/ 1 (pow u 2)) (* 2 (/ 1 u)))) (* 2 (/ 1 u))) v)> |
#<alt (/ (- (* v (- (/ 1 (pow u 2)) (* 2 (/ 1 u)))) (* 2 (/ 1 u))) v)> |
#<alt (/ (- (/ 1 u) 2) u)> |
#<alt (- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v)))))> |
#<alt (- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v)))))> |
#<alt (- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v)))))> |
#<alt (/ (- (/ 1 u) 2) u)> |
#<alt (- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v)))))> |
#<alt (- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v)))))> |
#<alt (- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v)))))> |
#<alt (/ 1 u)> |
#<alt (/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) u)> |
#<alt (/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) u)> |
#<alt (/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) u)> |
#<alt (* -1 (+ 2 (* 2 (/ 1 v))))> |
#<alt (- (/ 1 u) (+ 2 (* 2 (/ 1 v))))> |
#<alt (- (/ 1 u) (+ 2 (* 2 (/ 1 v))))> |
#<alt (- (/ 1 u) (+ 2 (* 2 (/ 1 v))))> |
#<alt (* -1 (+ 2 (* 2 (/ 1 v))))> |
#<alt (- (/ 1 u) (+ 2 (* 2 (/ 1 v))))> |
#<alt (- (/ 1 u) (+ 2 (* 2 (/ 1 v))))> |
#<alt (- (/ 1 u) (+ 2 (* 2 (/ 1 v))))> |
#<alt (/ -2 v)> |
#<alt (/ (- (* v (- (/ 1 u) 2)) 2) v)> |
#<alt (/ (- (* v (- (/ 1 u) 2)) 2) v)> |
#<alt (/ (- (* v (- (/ 1 u) 2)) 2) v)> |
#<alt (- (/ 1 u) 2)> |
#<alt (- (/ 1 u) (+ 2 (* 2 (/ 1 v))))> |
#<alt (- (/ 1 u) (+ 2 (* 2 (/ 1 v))))> |
#<alt (- (/ 1 u) (+ 2 (* 2 (/ 1 v))))> |
#<alt (- (/ 1 u) 2)> |
#<alt (- (/ 1 u) (+ 2 (* 2 (/ 1 v))))> |
#<alt (- (/ 1 u) (+ 2 (* 2 (/ 1 v))))> |
#<alt (- (/ 1 u) (+ 2 (* 2 (/ 1 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)> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | inf | (+ (* 1/6 (/ (+ (* (- 1 u) -8) (* 1 (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))) |
| 1.0ms | v | @ | 0 | (* (* u u) (- (/ -2 v) (/ (+ (/ 1 u) (+ -2 (/ -2 v))) u))) |
| 1.0ms | u | @ | inf | (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) |
| 1.0ms | u | @ | 0 | (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) |
| 1.0ms | v | @ | inf | (* (* u u) (- (/ -2 v) (/ (+ (/ 1 u) (+ -2 (/ -2 v))) u))) |
| 1× | batch-egg-rewrite |
| 4 716× | /-lowering-/.f32 |
| 4 716× | /-lowering-/.f64 |
| 4 134× | *-lowering-*.f32 |
| 4 134× | *-lowering-*.f64 |
| 3 536× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 243 |
| 1 | 351 | 241 |
| 2 | 3880 | 241 |
| 0 | 9675 | 220 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) |
(* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) |
(log (+ (* (exp (/ -2 v)) (- 1 u)) u)) |
(+ (* (exp (/ -2 v)) (- 1 u)) u) |
(+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) |
(+ (+ 2 (/ 2 v)) (/ 4/3 (* v v))) |
(+ 2 (/ 2 v)) |
(/ 2 v) |
(* (* u u) (- (/ -2 v) (/ (+ (/ 1 u) (+ -2 (/ -2 v))) u))) |
(* u u) |
(- (/ -2 v) (/ (+ (/ 1 u) (+ -2 (/ -2 v))) u)) |
(/ -2 v) |
(+ (* (- 1 u) -8) (* 1 (+ (* (- 1 u) -16) 24))) |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) |
(+ (* 1/6 (/ (+ (* (- 1 u) -8) (* 1 (+ (* (- 1 u) -16) 24))) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))) |
(* 1 (+ (* (- 1 u) -16) 24)) |
(exp (/ -2 v)) |
(/ 4/3 (* v v)) |
(/ (+ (/ 1 u) (+ -2 (/ -2 v))) u) |
(+ (/ 1 u) (+ -2 (/ -2 v))) |
(+ (* (- 1 u) -4) 4) |
| Outputs |
|---|
(+.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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (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)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32))) #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 v (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.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))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (*.f32 v #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (*.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) #s(literal 1 binary32)) |
(-.f32 (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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))) (/.f32 #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)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (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)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (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)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #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))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32))) (neg.f32 (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)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 (neg.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (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))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) (neg.f32 (-.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 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 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 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)) (/.f32 #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)))) |
(*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) |
(*.f32 v (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #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 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) |
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (*.f32 v #s(literal 1 binary32))) |
(*.f32 (*.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)) |
(neg.f32 (log.f32 (/.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))) |
(+.f32 (log.f32 (fma.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 u) u))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (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)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.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 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) 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 (fma.f32 u u (-.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) u)))))) |
(-.f32 (log.f32 (fma.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 u) u))) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)))) |
(-.f32 (log.f32 (neg.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 (neg.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))) |
(-.f32 (log.f32 (neg.f32 (fma.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 u) u)))) (log.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u))))) |
(-.f32 (log.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (log.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) |
(pow.f32 (/.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (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)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 u) u))) #s(literal -1 binary32)) |
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(/.f32 (neg.f32 (fma.f32 (+.f32 #s(literal -8 binary32) (/.f32 #s(literal -8 binary32) (*.f32 v (*.f32 v v)))) (neg.f32 u) (*.f32 (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 4 binary32)) v)) #s(literal -1 binary32)))) (neg.f32 (*.f32 (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 4 binary32)) v)) (neg.f32 u)))) |
(/.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (*.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (neg.f32 (*.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) u))) |
(/.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (neg.f32 u) (*.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))) (neg.f32 (*.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) (neg.f32 u)))) |
(/.f32 (neg.f32 (fma.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) (*.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal -8 binary32) (*.f32 v (*.f32 v v))))) (neg.f32 (fma.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (*.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -2 binary32) v)))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (-.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) u)))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 4 binary32) (*.f32 v v)))) (neg.f32 (-.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 (fma.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (*.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (-.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) |
(+.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) |
(pow.f32 (/.f32 (fma.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -64 binary32) #s(literal 64 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal -4 binary32)) (fma.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -16 binary32))) #s(literal -1 binary32)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) |
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) |
(-.f32 (/.f32 (*.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.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 16 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal -4 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -64 binary32) #s(literal 64 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal -4 binary32)) (fma.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -16 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -64 binary32) #s(literal 64 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal -4 binary32)) (fma.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -16 binary32))))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -64 binary32) #s(literal 64 binary32)) (fma.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32))))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -64 binary32) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (-.f32 (*.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32))))) |
(/.f32 (fma.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -16 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal -4 binary32))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -64 binary32) #s(literal 64 binary32))) (neg.f32 (fma.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -64 binary32) #s(literal 64 binary32))) (neg.f32 (+.f32 #s(literal 16 binary32) (-.f32 (*.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -16 binary32))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal -4 binary32)))) |
(/.f32 (-.f32 #s(literal 16 binary32) (*.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -64 binary32) #s(literal 64 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -16 binary32)))) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal -4 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 16 binary32) (*.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (-.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) |
(*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -64 binary32) #s(literal 64 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)))))) |
(*.f32 (fma.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -16 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal -4 binary32)))) |
| 1× | egg-herbie |
| 8 748× | accelerator-lowering-fma.f32 |
| 8 748× | accelerator-lowering-fma.f64 |
| 4 870× | *-lowering-*.f32 |
| 4 870× | *-lowering-*.f64 |
| 3 746× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 541 | 5917 |
| 1 | 1532 | 5650 |
| 2 | 4793 | 5444 |
| 0 | 8517 | 4996 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)))))) |
(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)) |
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(* -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)) |
(/ -2 v) |
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(- (* 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)))) |
(+ 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))) |
(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))) |
-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) |
(/ 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 (* 2 v)) v) |
(/ (+ 2 (* 2 v)) v) |
(/ (+ 2 (* 2 v)) v) |
2 |
(+ 2 (* 2 (/ 1 v))) |
(+ 2 (* 2 (/ 1 v))) |
(+ 2 (* 2 (/ 1 v))) |
2 |
(+ 2 (* 2 (/ 1 v))) |
(+ 2 (* 2 (/ 1 v))) |
(+ 2 (* 2 (/ 1 v))) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 v) |
(/ 2 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 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)) (* 2 (/ 1 v)))) |
(/ (* (pow u 2) (- (* 2 (/ 1 u)) 2)) v) |
(/ (+ (* (pow u 2) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) (* (pow u 2) (- (* 2 (/ 1 u)) 2))) v) |
(/ (+ (* (pow u 2) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) (* (pow u 2) (- (* 2 (/ 1 u)) 2))) v) |
(/ (+ (* (pow u 2) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) (* (pow u 2) (- (* 2 (/ 1 u)) 2))) v) |
(* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))) |
(+ (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))) (/ (* (pow u 2) (- (* 2 (/ 1 u)) 2)) v)) |
(+ (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))) (/ (* (pow u 2) (- (* 2 (/ 1 u)) 2)) v)) |
(+ (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))) (/ (* (pow u 2) (- (* 2 (/ 1 u)) 2)) v)) |
(* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))) |
(+ (* -1 (/ (* (pow u 2) (- 2 (* 2 (/ 1 u)))) v)) (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) |
(+ (* -1 (/ (* (pow u 2) (- 2 (* 2 (/ 1 u)))) v)) (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) |
(+ (* -1 (/ (* (pow u 2) (- 2 (* 2 (/ 1 u)))) v)) (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(/ (- (* 2 (/ 1 u)) 2) v) |
(/ (- (+ (* 2 (/ 1 u)) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) 2) v) |
(/ (- (+ (* 2 (/ 1 u)) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) 2) v) |
(/ (- (+ (* 2 (/ 1 u)) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) 2) v) |
(- (* 2 (/ 1 u)) (/ 1 (pow u 2))) |
(- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2)))) |
(- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2)))) |
(- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2)))) |
(- (* 2 (/ 1 u)) (/ 1 (pow u 2))) |
(- (+ (* -1 (/ (- 2 (* 2 (/ 1 u))) v)) (* 2 (/ 1 u))) (/ 1 (pow u 2))) |
(- (+ (* -1 (/ (- 2 (* 2 (/ 1 u))) v)) (* 2 (/ 1 u))) (/ 1 (pow u 2))) |
(- (+ (* -1 (/ (- 2 (* 2 (/ 1 u))) v)) (* 2 (/ 1 u))) (/ 1 (pow u 2))) |
(/ -1 (pow u 2)) |
(/ (- (* u (+ 2 (* 2 (/ 1 v)))) 1) (pow u 2)) |
(/ (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1) (pow u 2)) |
(/ (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1) (pow u 2)) |
(/ -2 v) |
(- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))) |
(- (* -1 (/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)) (* 2 (/ 1 v))) |
(- (* -1 (/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)) (* 2 (/ 1 v))) |
(/ -2 v) |
(- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))) |
(- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))) |
(- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))) |
(/ -2 v) |
(/ -2 v) |
(/ -2 v) |
(/ -2 v) |
(/ -2 v) |
(/ -2 v) |
(/ -2 v) |
(/ -2 v) |
(/ -2 v) |
(/ -2 v) |
(/ -2 v) |
(/ -2 v) |
(* 24 u) |
(* 24 u) |
(* 24 u) |
(* 24 u) |
(* 24 u) |
(* 24 u) |
(* 24 u) |
(* 24 u) |
(* 24 u) |
(* 24 u) |
(* 24 u) |
(* 24 u) |
-2 |
(- (* u (+ 2 (* 2 (/ 1 v)))) 2) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2) |
(* -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)) (/ 2 (pow u 2))))) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2))))) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 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 (- (* 2 u) 2))) v) |
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v) |
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v) |
(- (* 2 u) 2) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 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) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
-2 |
(- (* u (+ 2 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) 2) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))) 2) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))) 2) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2))))) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2))))) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) u)) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) u)) (* 2 (/ 1 v)))) |
(* 1/6 (/ (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u)))) (pow v 2))) |
(/ (+ (* 1/6 (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u))))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2)) |
(/ (+ (* 1/6 (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u))))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))))) (pow v 2)) |
(/ (+ (* 1/6 (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u))))) (* 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 (/ (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u)))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 2) |
(- (+ (* 1/6 (/ (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u)))) (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 (/ (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u)))) v))) v)) (* 2 u)) 2) |
(- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ 24 (+ (* -16 (- 1 u)) (* -8 (- 1 u)))) v))) v)) (* 2 u)) 2) |
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)))) |
(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)) |
(/ 1 (pow u 2)) |
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) (pow u 2)) |
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) (pow u 2)) |
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) (pow u 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 v))) u)) |
(/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u) |
(/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u) |
(/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u) |
(* -1 (/ (+ 2 (* 2 (/ 1 v))) u)) |
(* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u)) |
(* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u)) |
(* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u)) |
(/ -2 (* u v)) |
(/ (- (* v (- (/ 1 (pow u 2)) (* 2 (/ 1 u)))) (* 2 (/ 1 u))) v) |
(/ (- (* v (- (/ 1 (pow u 2)) (* 2 (/ 1 u)))) (* 2 (/ 1 u))) v) |
(/ (- (* v (- (/ 1 (pow u 2)) (* 2 (/ 1 u)))) (* 2 (/ 1 u))) v) |
(/ (- (/ 1 u) 2) u) |
(- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v))))) |
(- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v))))) |
(- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v))))) |
(/ (- (/ 1 u) 2) u) |
(- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v))))) |
(- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v))))) |
(- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v))))) |
(/ 1 u) |
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) u) |
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) u) |
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) u) |
(* -1 (+ 2 (* 2 (/ 1 v)))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(* -1 (+ 2 (* 2 (/ 1 v)))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(/ -2 v) |
(/ (- (* v (- (/ 1 u) 2)) 2) v) |
(/ (- (* v (- (/ 1 u) 2)) 2) v) |
(/ (- (* v (- (/ 1 u) 2)) 2) v) |
(- (/ 1 u) 2) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(- (/ 1 u) 2) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 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) |
| Outputs |
|---|
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 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32))) |
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-1 |
#s(literal -1 binary32) |
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-2 |
#s(literal -2 binary32) |
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8 |
#s(literal 8 binary32) |
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(* u (+ 16 (* 8 (/ 1 u)))) |
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#s(literal 1 binary32) |
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(/.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)) |
(/ 1 (pow u 2)) |
(/.f32 #s(literal 1 binary32) (*.f32 u u)) |
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) (pow u 2)) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) (pow u 2)) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) (pow u 2)) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(* -1 (/ (+ 2 (* 2 (/ 1 v))) u)) |
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) u) |
(/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(* -1 (/ (+ 2 (* 2 (/ 1 v))) u)) |
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) u) |
(* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u)) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u)) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u)) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(/ -2 (* u v)) |
(/.f32 #s(literal -2 binary32) (*.f32 v u)) |
(/ (- (* v (- (/ 1 (pow u 2)) (* 2 (/ 1 u)))) (* 2 (/ 1 u))) v) |
(fma.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) u) #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v u))) |
(/ (- (* v (- (/ 1 (pow u 2)) (* 2 (/ 1 u)))) (* 2 (/ 1 u))) v) |
(fma.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) u) #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v u))) |
(/ (- (* v (- (/ 1 (pow u 2)) (* 2 (/ 1 u)))) (* 2 (/ 1 u))) v) |
(fma.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) u) #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v u))) |
(/ (- (/ 1 u) 2) u) |
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) u) |
(- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v))))) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v))))) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v))))) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(/ (- (/ 1 u) 2) u) |
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) u) |
(- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v))))) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v))))) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v))))) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 u u)) |
(/ 1 u) |
(/.f32 #s(literal 1 binary32) u) |
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) u) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) u) |
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) u) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) u) |
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) u) |
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) u) |
(* -1 (+ 2 (* 2 (/ 1 v)))) |
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) |
(* -1 (+ 2 (* 2 (/ 1 v)))) |
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
(/ (- (* v (- (/ 1 u) 2)) 2) v) |
(fma.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v)) |
(/ (- (* v (- (/ 1 u) 2)) 2) v) |
(fma.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v)) |
(/ (- (* v (- (/ 1 u) 2)) 2) v) |
(fma.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v)) |
(- (/ 1 u) 2) |
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) |
(- (/ 1 u) 2) |
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) |
(- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) 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)) |
Compiled 40 271 to 3 440 computations (91.5% saved)
52 alts after pruning (47 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 082 | 19 | 1 101 |
| Fresh | 3 | 28 | 31 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 087 | 52 | 1 139 |
| Status | Accuracy | Program |
|---|---|---|
| 14.2% | (fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.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))) | |
| 8.4% | (fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (*.f32 u #s(literal 2 binary32))) | |
| 10.7% | (fma.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u #s(literal -1 binary32)) | |
| 94.6% | (fma.f32 v (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 (/.f32 #s(literal 1/3 binary32) (*.f32 u (*.f32 u u))) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 3 binary32)))) (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))) | |
| ✓ | 99.6% | (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)) |
| 95.0% | (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #s(literal 1 binary32)) | |
| 14.2% | (fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 binary32)) | |
| 12.3% | (fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) | |
| ▶ | 10.8% | (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
| 10.8% | (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)) | |
| 8.0% | (fma.f32 u (+.f32 (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal -8 binary32) (*.f32 v (*.f32 v v)))) (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 4 binary32)) v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) | |
| 8.0% | (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 4 binary32)) v)) (+.f32 #s(literal 8 binary32) (/.f32 #s(literal -8 binary32) (*.f32 v (*.f32 v v)))))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) | |
| 14.1% | (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) | |
| 11.4% | (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) | |
| ▶ | 8.2% | (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
| 14.2% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (neg.f32 u))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) | |
| 14.1% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) | |
| 8.2% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) | |
| 12.3% | (/.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)) | |
| ▶ | 99.4% | (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #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))) |
| 8.5% | (/.f32 (*.f32 u (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32))) (*.f32 v v)) | |
| 11.8% | (-.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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v)) | |
| 11.6% | (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.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)) (/.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)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 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)) | |
| 11.5% | (+.f32 (fma.f32 u #s(literal 2 binary32) #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 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) (*.f32 v (*.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)) (/.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)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32))) (*.f32 v v))))) | |
| 14.2% | (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v))) #s(literal 1 binary32)) | |
| ✓ | 99.5% | (+.f32 (*.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)) |
| 12.2% | (+.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #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 (-.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)))))) | |
| 12.1% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal -2 binary32))) | |
| 11.8% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.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)))) | |
| 12.3% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) | |
| 14.1% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) | |
| 9.3% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (fma.f32 u (-.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))) | |
| 12.0% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)))) #s(literal -2 binary32))) | |
| 12.1% | (+.f32 #s(literal 1 binary32) (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 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))))) | |
| 10.5% | (+.f32 #s(literal 1 binary32) (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)) #s(literal -2 binary32))) | |
| 11.6% | (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) | |
| ▶ | 12.2% | (+.f32 #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 (*.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))))) |
| 12.5% | (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) | |
| 12.3% | (+.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 u (/.f32 #s(literal -4/3 binary32) v))) v))) | |
| 12.2% | (+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (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 (-.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)))) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u))) | |
| 6.0% | (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) | |
| 2.4% | (+.f32 #s(literal 1 binary32) (*.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))))) | |
| ▶ | 13.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)))) |
| 12.1% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32)) v))) | |
| 98.8% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) u)))) | |
| 96.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) | |
| 11.1% | (*.f32 (*.f32 u u) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)) | |
| ✓ | 14.2% | (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))) |
| 11.1% | (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) | |
| 8.5% | (*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) | |
| ✓ | 87.9% | #s(literal 1 binary32) |
| ✓ | 5.9% | #s(literal -1 binary32) |
Compiled 2 394 to 1 447 computations (39.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 96 | (+.f32 #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 (*.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))))) |
| ✓ | cost-diff | 128 | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) |
| ✓ | cost-diff | 128 | (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 (*.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)))) |
| ✓ | cost-diff | 288 | (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))) |
| ✓ | cost-diff | 0 | (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) |
| ✓ | cost-diff | 0 | (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)) |
| ✓ | cost-diff | 96 | (+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)))) |
| ✓ | cost-diff | 864 | (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v))) |
| ✓ | cost-diff | 0 | (*.f32 v v) |
| ✓ | cost-diff | 0 | (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) |
| ✓ | cost-diff | 0 | (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) |
| ✓ | cost-diff | 0 | (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) |
| ✓ | cost-diff | 0 | (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)) |
| ✓ | cost-diff | 10880 | (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #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))) |
| 21 952× | accelerator-lowering-fma.f32 |
| 21 952× | accelerator-lowering-fma.f64 |
| 3 410× | +-lowering-+.f64 |
| 3 410× | +-lowering-+.f32 |
| 3 322× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 431 |
| 1 | 146 | 427 |
| 2 | 415 | 395 |
| 3 | 1199 | 363 |
| 4 | 4060 | 355 |
| 0 | 8061 | 318 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) -1) (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) -1)) |
(+ (pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) -1) |
(pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) |
(* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) |
v |
(log (+ (* (exp (/ -2 v)) (- 1 u)) u)) |
(+ (* (exp (/ -2 v)) (- 1 u)) u) |
(exp (/ -2 v)) |
(/ -2 v) |
-2 |
(- 1 u) |
1 |
u |
2 |
-1 |
(+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) -1) |
(+ (* u 2) -1) |
u |
2 |
-1 |
(+ (* u (/ (+ (* v 2) 4/3) (* v v))) -1) |
u |
(/ (+ (* v 2) 4/3) (* v v)) |
(+ (* v 2) 4/3) |
v |
2 |
4/3 |
(* v v) |
-1 |
(+ 1 (* v (+ (* u (/ (+ 2 (/ 2 v)) v)) (/ -2 v)))) |
1 |
(* v (+ (* u (/ (+ 2 (/ 2 v)) v)) (/ -2 v))) |
v |
(+ (* u (/ (+ 2 (/ 2 v)) v)) (/ -2 v)) |
u |
(/ (+ 2 (/ 2 v)) v) |
(+ 2 (/ 2 v)) |
2 |
(/ 2 v) |
(/ -2 v) |
-2 |
(+ 1 (+ (* 1/6 (/ (* u (+ (* u (+ (* u 16) -24)) 8)) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)))) |
1 |
(+ (* 1/6 (/ (* u (+ (* u (+ (* u 16) -24)) 8)) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))) |
1/6 |
(/ (* u (+ (* u (+ (* u 16) -24)) 8)) (* v v)) |
(* u (+ (* u (+ (* u 16) -24)) 8)) |
u |
(+ (* u (+ (* u 16) -24)) 8) |
(+ (* u 16) -24) |
16 |
-24 |
8 |
(* v v) |
v |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(- 1 u) |
(+ (* (- 1 u) -4) 4) |
-4 |
4 |
(/ 1/2 v) |
1/2 |
(+ (* -2 (neg u)) -2) |
-2 |
(neg u) |
| Outputs |
|---|
(/ (+ (pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) -1) (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) -1)) |
(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)) |
(+ (pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) -1) |
(+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) |
(pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) |
(* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) |
(*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) |
v |
(log (+ (* (exp (/ -2 v)) (- 1 u)) u)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(+ (* (exp (/ -2 v)) (- 1 u)) u) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) 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) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
2 |
#s(literal 2 binary32) |
-1 |
#s(literal -1 binary32) |
(+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) -1) |
(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)) |
(+ (* 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) |
(+ (* u (/ (+ (* v 2) 4/3) (* v v))) -1) |
(fma.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (/.f32 u (*.f32 v v)) #s(literal -1 binary32)) |
u |
(/ (+ (* v 2) 4/3) (* v v)) |
(/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) |
(+ (* v 2) 4/3) |
(fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) |
v |
2 |
#s(literal 2 binary32) |
4/3 |
#s(literal 4/3 binary32) |
(* v v) |
(*.f32 v v) |
-1 |
#s(literal -1 binary32) |
(+ 1 (* v (+ (* u (/ (+ 2 (/ 2 v)) v)) (/ -2 v)))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
1 |
#s(literal 1 binary32) |
(* v (+ (* u (/ (+ 2 (/ 2 v)) v)) (/ -2 v))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -2 binary32)) |
v |
(+ (* u (/ (+ 2 (/ 2 v)) v)) (/ -2 v)) |
(fma.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 u v) (/.f32 #s(literal -2 binary32) v)) |
u |
(/ (+ 2 (/ 2 v)) v) |
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) |
(+ 2 (/ 2 v)) |
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) |
2 |
#s(literal 2 binary32) |
(/ 2 v) |
(/.f32 #s(literal 2 binary32) v) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
-2 |
#s(literal -2 binary32) |
(+ 1 (+ (* 1/6 (/ (* u (+ (* u (+ (* u 16) -24)) 8)) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)))) |
(fma.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)) |
1 |
#s(literal 1 binary32) |
(+ (* 1/6 (/ (* u (+ (* u (+ (* u 16) -24)) 8)) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))) |
(fma.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -2 binary32)) |
1/6 |
#s(literal 1/6 binary32) |
(/ (* u (+ (* u (+ (* u 16) -24)) 8)) (* v v)) |
(*.f32 u (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v))) |
(* u (+ (* u (+ (* u 16) -24)) 8)) |
(*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) |
u |
(+ (* u (+ (* u 16) -24)) 8) |
(fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) |
(+ (* u 16) -24) |
(fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) |
16 |
#s(literal 16 binary32) |
-24 |
#s(literal -24 binary32) |
8 |
#s(literal 8 binary32) |
(* v v) |
(*.f32 v v) |
v |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(+ (* (- 1 u) -4) 4) |
(*.f32 u #s(literal 4 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) |
(+ (* -2 (neg u)) -2) |
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) |
-2 |
#s(literal -2 binary32) |
(neg u) |
(neg.f32 u) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)) |
| ✓ | accuracy | 98.8% | (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))) |
| ✓ | accuracy | 97.8% | (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 (*.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)))) |
| ✓ | accuracy | 81.8% | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) |
| ✓ | accuracy | 99.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)))) |
| ✓ | accuracy | 99.6% | (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) |
| ✓ | accuracy | 97.5% | (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)) |
| ✓ | accuracy | 62.2% | (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v))) |
| ✓ | accuracy | 100.0% | (*.f32 v v) |
| ✓ | accuracy | 99.8% | (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) |
| ✓ | accuracy | 99.3% | (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) |
| ✓ | accuracy | 97.0% | (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
| ✓ | accuracy | 100.0% | (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
| ✓ | accuracy | 99.7% | (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #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))) |
| ✓ | accuracy | 99.6% | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| ✓ | accuracy | 99.1% | (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) |
| ✓ | accuracy | 99.1% | (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) |
| 98.0ms | 256× | 0 | valid |
Compiled 390 to 60 computations (84.6% saved)
ival-mult: 29.0ms (37.6% of total)ival-add: 17.0ms (22% of total)ival-div: 13.0ms (16.8% of total)const: 7.0ms (9.1% of total)ival-log: 3.0ms (3.9% of total)ival-exp: 2.0ms (2.6% of total)ival-pow2: 2.0ms (2.6% of total)ival-sub: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) -1) (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) -1))> |
#<alt (+ (pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) -1)> |
#<alt (pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2)> |
#<alt (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u)))> |
#<alt (+ (* u 2) -1)> |
#<alt (+ (* u (/ (+ (* v 2) 4/3) (* v v))) -1)> |
#<alt (/ (+ (* v 2) 4/3) (* v v))> |
#<alt (+ (* v 2) 4/3)> |
#<alt (* v v)> |
#<alt (* v (+ (* u (/ (+ 2 (/ 2 v)) v)) (/ -2 v)))> |
#<alt (+ 1 (* v (+ (* u (/ (+ 2 (/ 2 v)) v)) (/ -2 v))))> |
#<alt (+ (* u (/ (+ 2 (/ 2 v)) v)) (/ -2 v))> |
#<alt (/ (+ 2 (/ 2 v)) v)> |
#<alt (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))> |
#<alt (+ (* 1/6 (/ (* u (+ (* u (+ (* u 16) -24)) 8)) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)))> |
#<alt (+ (* (- 1 u) -4) 4)> |
#<alt (+ 1 (+ (* 1/6 (/ (* u (+ (* u (+ (* u 16) -24)) 8)) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))))> |
#<alt (exp (/ -2 v))> |
#<alt (/ (* u (+ (* u (+ (* u 16) -24)) 8)) (* v v))> |
| Outputs |
|---|
#<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 (/ (- (* 4 (pow (- 1 u) 2)) 1) (- (* -2 (- 1 u)) 1))> |
#<alt (- (+ (* -2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (* v (- (* -2 (- 1 u)) 1)))) (* 4 (/ (pow (- 1 u) 2) (- (* -2 (- 1 u)) 1)))) (+ (* 1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (* v (pow (- (* -2 (- 1 u)) 1) 2)))) (/ 1 (- (* -2 (- 1 u)) 1))))> |
#<alt (- (+ (* -2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (* v (- (* -2 (- 1 u)) 1)))) (+ (* -2/3 (/ (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (- 1 u)) (* (pow v 2) (- (* -2 (- 1 u)) 1)))) (+ (* 1/4 (/ (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2) (* (pow v 2) (- (* -2 (- 1 u)) 1)))) (* 4 (/ (pow (- 1 u) 2) (- (* -2 (- 1 u)) 1)))))) (+ (* 1/6 (/ (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (- (* 4 (pow (- 1 u) 2)) 1)) (* (pow v 2) (pow (- (* -2 (- 1 u)) 1) 2)))) (+ (* 1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* -2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (- (* -2 (- 1 u)) 1))) (* 1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2))))) (* (pow v 2) (- (* -2 (- 1 u)) 1)))) (+ (* 1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (* v (pow (- (* -2 (- 1 u)) 1) 2)))) (/ 1 (- (* -2 (- 1 u)) 1))))))> |
#<alt (- (+ (* -2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (* v (- (* -2 (- 1 u)) 1)))) (+ (* -2/3 (/ (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (- 1 u)) (* (pow v 2) (- (* -2 (- 1 u)) 1)))) (+ (* -1/6 (/ (* (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (- 1 u)) (* (pow v 3) (- (* -2 (- 1 u)) 1)))) (+ (* 1/6 (/ (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* (pow v 3) (- (* -2 (- 1 u)) 1)))) (+ (* 1/4 (/ (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2) (* (pow v 2) (- (* -2 (- 1 u)) 1)))) (* 4 (/ (pow (- 1 u) 2) (- (* -2 (- 1 u)) 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)))))) (- (* 4 (pow (- 1 u) 2)) 1)) (* (pow v 3) (pow (- (* -2 (- 1 u)) 1) 2)))) (+ (* 1/6 (/ (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (- (* -2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (- (* -2 (- 1 u)) 1))) (* 1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2))))) (* (pow v 3) (- (* -2 (- 1 u)) 1)))) (+ (* 1/6 (/ (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (- (* 4 (pow (- 1 u) 2)) 1)) (* (pow v 2) (pow (- (* -2 (- 1 u)) 1) 2)))) (+ (* 1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* -2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (- (* -2 (- 1 u)) 1))) (* 1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2))))) (* (pow v 2) (- (* -2 (- 1 u)) 1)))) (+ (* 1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (* v (pow (- (* -2 (- 1 u)) 1) 2)))) (+ (* 1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (+ (* -2/3 (/ (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (- 1 u)) (- (* -2 (- 1 u)) 1))) (* 1/4 (/ (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2) (- (* -2 (- 1 u)) 1)))) (+ (* 1/6 (/ (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2))) (* 1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* -2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (- (* -2 (- 1 u)) 1))) (* 1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2))))) (- (* -2 (- 1 u)) 1)))))) (* (pow v 3) (- (* -2 (- 1 u)) 1)))) (/ 1 (- (* -2 (- 1 u)) 1)))))))))> |
#<alt (/ (- (* 4 (pow (- 1 u) 2)) 1) (- (* -2 (- 1 u)) 1))> |
#<alt (- (+ (* -1 (/ (- (* 2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (- (* -2 (- 1 u)) 1))) (* -1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2)))) v)) (* 4 (/ (pow (- 1 u) 2) (- (* -2 (- 1 u)) 1)))) (/ 1 (- (* -2 (- 1 u)) 1)))> |
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (/ (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2) (- (* -2 (- 1 u)) 1))) (* 2/3 (/ (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (- 1 u)) (- (* -2 (- 1 u)) 1)))) (+ (* -1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (- (* -2 (- 1 u)) 1))) (* -1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2))))) (- (* -2 (- 1 u)) 1))) (* -1/6 (/ (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2))))) v)) (* 2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (- (* -2 (- 1 u)) 1)))) (* -1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2)))) v)) (* 4 (/ (pow (- 1 u) 2) (- (* -2 (- 1 u)) 1)))) (/ 1 (- (* -2 (- 1 u)) 1)))> |
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/6 (/ (* (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (- 1 u)) (- (* -2 (- 1 u)) 1))) (* 1/6 (/ (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (- (* -2 (- 1 u)) 1)))) (+ (* -1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (+ (* 1/4 (/ (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2) (- (* -2 (- 1 u)) 1))) (* 2/3 (/ (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (- 1 u)) (- (* -2 (- 1 u)) 1)))) (+ (* -1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (- (* -2 (- 1 u)) 1))) (* -1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2))))) (- (* -2 (- 1 u)) 1))) (* -1/6 (/ (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2)))))) (- (* -2 (- 1 u)) 1))) (+ (* -1/6 (/ (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (- (* 2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (- (* -2 (- 1 u)) 1))) (* -1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2))))) (- (* -2 (- 1 u)) 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)))))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2)))))) v)) (+ (* 1/4 (/ (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2) (- (* -2 (- 1 u)) 1))) (* 2/3 (/ (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (- 1 u)) (- (* -2 (- 1 u)) 1))))) (+ (* -1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (- (* -2 (- 1 u)) 1))) (* -1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2))))) (- (* -2 (- 1 u)) 1))) (* -1/6 (/ (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2))))) v)) (* 2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (- (* -2 (- 1 u)) 1)))) (* -1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (pow (- (* -2 (- 1 u)) 1) 2)))) v)) (* 4 (/ (pow (- 1 u) 2) (- (* -2 (- 1 u)) 1)))) (/ 1 (- (* -2 (- 1 u)) 1)))> |
#<alt -1> |
#<alt (- (* u (- (* 4/3 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* 1/3 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1)> |
#<alt (- (* u (- (+ (* 4/3 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* u (- (* -1/3 (* (pow v 2) (+ (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (* v (pow (exp (/ -2 v)) 2)))) (pow (- (/ 1 (exp (/ -2 v))) 1) 2)))) (+ (* -1/3 (* v (* (- (* 4/3 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* 1/3 (* v (- (/ 1 (exp (/ -2 v))) 1)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* -1/6 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))) (* 1/3 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1)> |
#<alt (- (* u (- (+ (* 4/3 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* u (- (+ (* -1/3 (* (pow v 2) (+ (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (* v (pow (exp (/ -2 v)) 2)))) (pow (- (/ 1 (exp (/ -2 v))) 1) 2)))) (* u (- (* -1/3 (* (pow v 2) (+ (* -4/3 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (* v (pow (exp (/ -2 v)) 3)))) (* -1 (/ (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1)) (pow (exp (/ -2 v)) 2)))))) (+ (* -1/3 (* v (* (- (* -1/3 (* (pow v 2) (+ (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (* v (pow (exp (/ -2 v)) 2)))) (pow (- (/ 1 (exp (/ -2 v))) 1) 2)))) (+ (* -1/3 (* v (* (- (* 4/3 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* 1/3 (* v (- (/ 1 (exp (/ -2 v))) 1)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* -1/6 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))) (- (/ 1 (exp (/ -2 v))) 1)))) (+ (* 1/9 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* 1/6 (/ (* v (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (* 4/3 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* 1/3 (* v (- (/ 1 (exp (/ -2 v))) 1)))))) (pow (exp (/ -2 v)) 2)))))))) (+ (* -1/3 (* v (* (- (* 4/3 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* 1/3 (* v (- (/ 1 (exp (/ -2 v))) 1)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* -1/6 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))) (* 1/3 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1)> |
#<alt (/ (- (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) 1) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1))> |
#<alt (- (+ (* 2 (/ (* (pow v 2) (* (exp (/ -2 v)) (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (* u (* (+ 1 (* -1 (exp (/ -2 v)))) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1))))) (/ (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1))) (+ (/ 1 (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1)) (/ (* v (* (exp (/ -2 v)) (- (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) 1))) (* u (* (+ 1 (* -1 (exp (/ -2 v)))) (pow (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1) 2))))))> |
#<alt (- (+ (* 2 (/ (* (pow v 2) (* (exp (/ -2 v)) (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (* u (* (+ 1 (* -1 (exp (/ -2 v)))) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1))))) (+ (/ (* (pow v 2) (+ (* -1 (/ (* (pow (exp (/ -2 v)) 2) (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (* (pow u 2) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1))) (/ (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1)))) (+ (* -1/2 (/ (* v (* (pow (exp (/ -2 v)) 2) (- (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) 1))) (* (pow u 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1) 2))))) (+ (/ 1 (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1)) (+ (/ (* v (* (exp (/ -2 v)) (- (* 2 (/ (* (pow v 2) (* (exp (/ -2 v)) (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (* (+ 1 (* -1 (exp (/ -2 v)))) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1)))) (/ (* v (* (exp (/ -2 v)) (- (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) 1))) (* (+ 1 (* -1 (exp (/ -2 v)))) (pow (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1) 2)))))) (* (pow u 2) (* (+ 1 (* -1 (exp (/ -2 v)))) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1)))) (/ (* v (* (exp (/ -2 v)) (- (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) 1))) (* u (* (+ 1 (* -1 (exp (/ -2 v)))) (pow (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1) 2))))))))> |
#<alt (- (+ (* 2 (/ (* (pow v 2) (* (exp (/ -2 v)) (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (* u (* (+ 1 (* -1 (exp (/ -2 v)))) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1))))) (+ (/ (* (pow v 2) (+ (* -1 (/ (* (pow (exp (/ -2 v)) 2) (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (* (pow u 2) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1))) (+ (/ (* (pow v 2) (+ (* -1 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 2/3 (/ (* (pow (exp (/ -2 v)) 3) (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))))) (* (pow u 3) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1))) (/ (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1))))) (+ (* -1/2 (/ (* v (* (pow (exp (/ -2 v)) 2) (- (* 2 (/ (* (pow v 2) (* (exp (/ -2 v)) (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (* (+ 1 (* -1 (exp (/ -2 v)))) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1)))) (/ (* v (* (exp (/ -2 v)) (- (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) 1))) (* (+ 1 (* -1 (exp (/ -2 v)))) (pow (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1) 2)))))) (* (pow u 3) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1))))) (+ (* -1/2 (/ (* v (* (pow (exp (/ -2 v)) 2) (- (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) 1))) (* (pow u 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1) 2))))) (+ (* 1/3 (/ (* v (* (pow (exp (/ -2 v)) 3) (- (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) 1))) (* (pow u 3) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1) 2))))) (+ (/ 1 (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1)) (+ (/ (* v (* (exp (/ -2 v)) (- (* 2 (/ (* (pow v 2) (* (exp (/ -2 v)) (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (* (+ 1 (* -1 (exp (/ -2 v)))) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1)))) (/ (* v (* (exp (/ -2 v)) (- (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) 1))) (* (+ 1 (* -1 (exp (/ -2 v)))) (pow (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1) 2)))))) (* (pow u 2) (* (+ 1 (* -1 (exp (/ -2 v)))) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1)))) (+ (/ (* v (* (exp (/ -2 v)) (- (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) 1))) (* u (* (+ 1 (* -1 (exp (/ -2 v)))) (pow (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1) 2)))) (/ (* v (* (exp (/ -2 v)) (- (/ (* (pow v 2) (+ (* -1 (/ (* (pow (exp (/ -2 v)) 2) (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1)) (+ (* -1/2 (/ (* v (* (pow (exp (/ -2 v)) 2) (- (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) 1))) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1) 2)))) (/ (* v (* (exp (/ -2 v)) (- (* 2 (/ (* (pow v 2) (* (exp (/ -2 v)) (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (* (+ 1 (* -1 (exp (/ -2 v)))) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1)))) (/ (* v (* (exp (/ -2 v)) (- (* (pow v 2) (pow (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) 2)) 1))) (* (+ 1 (* -1 (exp (/ -2 v)))) (pow (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1) 2)))))) (* (+ 1 (* -1 (exp (/ -2 v)))) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1))))))) (* (pow u 3) (* (+ 1 (* -1 (exp (/ -2 v)))) (- (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) 1)))))))))))> |
#<alt (/ (- (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) 1) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1))> |
#<alt (- (+ (* -1 (/ (- (* 2 (/ (* (pow v 2) (* (exp (/ -2 v)) (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) (* (- (exp (/ -2 v)) 1) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1)))) (/ (* v (* (exp (/ -2 v)) (- (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) 1))) (* (- (exp (/ -2 v)) 1) (pow (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1) 2)))) u)) (/ (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1))) (/ 1 (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1)))> |
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* -1 (/ (* (pow (exp (/ -2 v)) 2) (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) (pow (- (exp (/ -2 v)) 1) 2))) (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2)))) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1)) (+ (* -1/2 (/ (* v (* (pow (exp (/ -2 v)) 2) (- (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) 1))) (* (pow (- (exp (/ -2 v)) 1) 2) (pow (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1) 2)))) (/ (* v (* (exp (/ -2 v)) (- (* 2 (/ (* (pow v 2) (* (exp (/ -2 v)) (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) (* (- (exp (/ -2 v)) 1) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1)))) (/ (* v (* (exp (/ -2 v)) (- (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) 1))) (* (- (exp (/ -2 v)) 1) (pow (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1) 2)))))) (* (- (exp (/ -2 v)) 1) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1))))) u)) (* 2 (/ (* (pow v 2) (* (exp (/ -2 v)) (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) (* (- (exp (/ -2 v)) 1) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1))))) (/ (* v (* (exp (/ -2 v)) (- (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) 1))) (* (- (exp (/ -2 v)) 1) (pow (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1) 2)))) u)) (/ (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1))) (/ 1 (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1)))> |
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* -1 (/ (pow (exp (/ -2 v)) 3) (pow (- (exp (/ -2 v)) 1) 3))) (* 2/3 (/ (* (pow (exp (/ -2 v)) 3) (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) (pow (- (exp (/ -2 v)) 1) 3))))) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1)) (+ (* -1/2 (/ (* v (* (pow (exp (/ -2 v)) 2) (- (* 2 (/ (* (pow v 2) (* (exp (/ -2 v)) (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) (* (- (exp (/ -2 v)) 1) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1)))) (/ (* v (* (exp (/ -2 v)) (- (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) 1))) (* (- (exp (/ -2 v)) 1) (pow (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1) 2)))))) (* (pow (- (exp (/ -2 v)) 1) 2) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1)))) (+ (* 1/3 (/ (* v (* (pow (exp (/ -2 v)) 3) (- (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) 1))) (* (pow (- (exp (/ -2 v)) 1) 3) (pow (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1) 2)))) (/ (* v (* (exp (/ -2 v)) (- (/ (* (pow v 2) (+ (* -1 (/ (* (pow (exp (/ -2 v)) 2) (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) (pow (- (exp (/ -2 v)) 1) 2))) (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2)))) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1)) (+ (* -1/2 (/ (* v (* (pow (exp (/ -2 v)) 2) (- (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) 1))) (* (pow (- (exp (/ -2 v)) 1) 2) (pow (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1) 2)))) (/ (* v (* (exp (/ -2 v)) (- (* 2 (/ (* (pow v 2) (* (exp (/ -2 v)) (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) (* (- (exp (/ -2 v)) 1) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1)))) (/ (* v (* (exp (/ -2 v)) (- (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) 1))) (* (- (exp (/ -2 v)) 1) (pow (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1) 2)))))) (* (- (exp (/ -2 v)) 1) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1))))))) (* (- (exp (/ -2 v)) 1) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1)))))) u)) (/ (* (pow v 2) (+ (* -1 (/ (* (pow (exp (/ -2 v)) 2) (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) (pow (- (exp (/ -2 v)) 1) 2))) (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2)))) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1))) (+ (* -1/2 (/ (* v (* (pow (exp (/ -2 v)) 2) (- (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) 1))) (* (pow (- (exp (/ -2 v)) 1) 2) (pow (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1) 2)))) (/ (* v (* (exp (/ -2 v)) (- (* 2 (/ (* (pow v 2) (* (exp (/ -2 v)) (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) (* (- (exp (/ -2 v)) 1) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1)))) (/ (* v (* (exp (/ -2 v)) (- (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) 1))) (* (- (exp (/ -2 v)) 1) (pow (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1) 2)))))) (* (- (exp (/ -2 v)) 1) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1))))) u)) (* 2 (/ (* (pow v 2) (* (exp (/ -2 v)) (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) (* (- (exp (/ -2 v)) 1) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1))))) (/ (* v (* (exp (/ -2 v)) (- (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) 1))) (* (- (exp (/ -2 v)) 1) (pow (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1) 2)))) u)) (/ (* (pow v 2) (pow (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) 2)) (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1))) (/ 1 (- (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) 1)))> |
#<alt -1> |
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#<alt 3> |
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#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2)))))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2)))))> |
#<alt (* -2 (/ (pow u 2) v))> |
#<alt (* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))> |
#<alt (* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))> |
#<alt (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))> |
#<alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v)> |
#<alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v)> |
#<alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v)> |
#<alt (- (* 2 u) 2)> |
#<alt (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2)> |
#<alt (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2)> |
#<alt (- (+ (* 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 (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2)> |
#<alt (- (+ (* 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 (* 1/6 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)))> |
#<alt (/ (+ (* 1/6 (* u (+ 8 (* u (- (* 16 u) 24))))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2))> |
#<alt (/ (+ (* 1/6 (* u (+ 8 (* u (- (* 16 u) 24))))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))))) (pow v 2))> |
#<alt (/ (+ (* 1/6 (* u (+ 8 (* u (- (* 16 u) 24))))) (* 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 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 2)> |
#<alt (- (+ (* 1/6 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (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 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) v))) v)) (* 2 u)) 2)> |
#<alt (- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) v))) v)) (* 2 u)) 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 (- (* 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 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)))> |
#<alt (/ (+ (* 1/6 (* u (+ 8 (* u (- (* 16 u) 24))))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2))> |
#<alt (/ (+ (* 1/6 (* u (+ 8 (* u (- (* 16 u) 24))))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 1))))) (pow v 2))> |
#<alt (/ (+ (* 1/6 (* u (+ 8 (* u (- (* 16 u) 24))))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 1))))) (pow v 2))> |
#<alt (- (* 2 u) 1)> |
#<alt (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 1)> |
#<alt (- (+ (* 1/6 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 1)> |
#<alt (- (+ (* 1/6 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 1)> |
#<alt (- (* 2 u) 1)> |
#<alt (- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 1)> |
#<alt (- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) v))) v)) (* 2 u)) 1)> |
#<alt (- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) v))) v)) (* 2 u)) 1)> |
#<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 (* 8 (/ u (pow v 2)))> |
#<alt (* u (+ (* -24 (/ u (pow v 2))) (* 8 (/ 1 (pow v 2)))))> |
#<alt (* u (+ (* u (- (* 16 (/ u (pow v 2))) (* 24 (/ 1 (pow v 2))))) (* 8 (/ 1 (pow v 2)))))> |
#<alt (* u (+ (* u (- (* 16 (/ u (pow v 2))) (* 24 (/ 1 (pow v 2))))) (* 8 (/ 1 (pow v 2)))))> |
#<alt (* 16 (/ (pow u 3) (pow v 2)))> |
#<alt (* (pow u 3) (- (* 16 (/ 1 (pow v 2))) (* 24 (/ 1 (* u (pow v 2))))))> |
#<alt (* (pow u 3) (- (+ (* 16 (/ 1 (pow v 2))) (/ 8 (* (pow u 2) (pow v 2)))) (/ 24 (* u (pow v 2)))))> |
#<alt (* (pow u 3) (- (+ (* 16 (/ 1 (pow v 2))) (/ 8 (* (pow u 2) (pow v 2)))) (/ 24 (* u (pow v 2)))))> |
#<alt (* 16 (/ (pow u 3) (pow v 2)))> |
#<alt (* -1 (* (pow u 3) (- (* 24 (/ 1 (* u (pow v 2)))) (* 16 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 (* u (pow v 2)))) (* 24 (/ 1 (pow v 2)))) u)) (* 16 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 (* u (pow v 2)))) (* 24 (/ 1 (pow v 2)))) u)) (* 16 (/ 1 (pow v 2))))))> |
#<alt (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))> |
#<alt (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))> |
#<alt (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))> |
#<alt (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))> |
#<alt (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))> |
#<alt (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))> |
#<alt (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))> |
#<alt (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))> |
#<alt (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))> |
#<alt (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))> |
#<alt (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))> |
#<alt (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | u | @ | inf | (/ (+ (pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) -1) (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) -1)) |
| 4.0ms | u | @ | -inf | (/ (+ (pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) -1) (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) -1)) |
| 4.0ms | v | @ | inf | (/ (+ (pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) -1) (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) -1)) |
| 3.0ms | v | @ | -inf | (/ (+ (pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) -1) (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) -1)) |
| 2.0ms | u | @ | 0 | (/ (+ (pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) -1) (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) -1)) |
| 1× | batch-egg-rewrite |
| 4 128× | /-lowering-/.f32 |
| 4 128× | /-lowering-/.f64 |
| 4 006× | *-lowering-*.f32 |
| 4 006× | *-lowering-*.f64 |
| 3 794× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 295 |
| 1 | 397 | 274 |
| 2 | 3792 | 268 |
| 0 | 9189 | 237 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) -1) (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) -1)) |
(+ (pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) -1) |
(pow (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 2) |
(* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) |
(+ (* u 2) -1) |
(+ (* u (/ (+ (* v 2) 4/3) (* v v))) -1) |
(/ (+ (* v 2) 4/3) (* v v)) |
(+ (* v 2) 4/3) |
(* v v) |
(* v (+ (* u (/ (+ 2 (/ 2 v)) v)) (/ -2 v))) |
(+ 1 (* v (+ (* u (/ (+ 2 (/ 2 v)) v)) (/ -2 v)))) |
(+ (* u (/ (+ 2 (/ 2 v)) v)) (/ -2 v)) |
(/ (+ 2 (/ 2 v)) v) |
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) |
(+ (* 1/6 (/ (* u (+ (* u (+ (* u 16) -24)) 8)) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2))) |
(+ (* (- 1 u) -4) 4) |
(+ 1 (+ (* 1/6 (/ (* u (+ (* u (+ (* u 16) -24)) 8)) (* v v))) (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)))) |
(exp (/ -2 v)) |
(/ (* u (+ (* u (+ (* u 16) -24)) 8)) (* v v)) |
| Outputs |
|---|
(neg.f32 (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)) (neg.f32 (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))))) |
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #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)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #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)))) #s(literal -1 binary32))) |
(+.f32 (*.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)) |
(pow.f32 (/.f32 #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))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #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))) #s(literal 1 binary32)) #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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (sqrt.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (sqrt.f32 (*.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 (pow.f32 (sqrt.f32 (*.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)) (pow.f32 (sqrt.f32 (*.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)) #s(literal 1 binary32)) |
(fma.f32 (exp.f32 (log.f32 v)) (exp.f32 (log.f32 (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 (exp.f32 (log.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (exp.f32 (log.f32 v)) #s(literal 1 binary32)) |
(-.f32 (*.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)) |
(/.f32 #s(literal 1 binary32) (/.f32 #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)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #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))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #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)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #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))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #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))) #s(literal 1 binary32)))) |
(/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #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))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32))) (neg.f32 (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)))) |
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 6 binary32))) (*.f32 (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)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 4 binary32)) #s(literal -1 binary32)) (*.f32 (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)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #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)))) |
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(/.f32 (neg.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v)) #s(literal 1 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))))) (neg.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (-.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 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 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 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 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) #s(literal 1 binary32))) (neg.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 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 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v)) #s(literal 1 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))) (neg.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 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 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 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 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (-.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 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 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 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 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 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 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (/.f32 (fma.f32 u (fma.f32 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 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) v))) |
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) v)) |
(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 2 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 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)) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) |
(neg.f32 (/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v (neg.f32 v)))) |
(neg.f32 (/.f32 (neg.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) (*.f32 v v))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v v) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (*.f32 v v) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (*.f32 v v) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 v (*.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (/.f32 u v))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v v) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (/.f32 u v)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 v v) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))))))) |
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 v v) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (/.f32 u v))))) |
(/.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)) |
(/.f32 (neg.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) (*.f32 v (neg.f32 v))) |
(/.f32 (*.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (/.f32 u v)) v) |
(/.f32 (neg.f32 (neg.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))))) (neg.f32 (*.f32 v (neg.f32 v)))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (/.f32 u v))) (neg.f32 v)) |
(/.f32 (*.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) #s(literal 1 binary32)) (*.f32 v v)) |
(/.f32 (*.f32 (/.f32 u v) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) v) |
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(/.f32 (neg.f32 (neg.f32 (*.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (/.f32 u v)))) (neg.f32 (neg.f32 v))) |
(/.f32 (neg.f32 (*.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) #s(literal 1 binary32))) (*.f32 v (neg.f32 v))) |
(/.f32 (neg.f32 (*.f32 (/.f32 u v) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) (neg.f32 v)) |
(*.f32 #s(literal 1 binary32) (*.f32 u (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v)))) |
(*.f32 u (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v))) |
(*.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 u (/.f32 #s(literal 1 binary32) (*.f32 v v)))) |
(*.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (/.f32 u (*.f32 v v))) |
(*.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 v v))) |
(*.f32 (neg.f32 (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 v)))) |
(*.f32 (/.f32 u v) (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) v)) |
(*.f32 (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) v) (/.f32 u v)) |
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (/.f32 u v))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) #s(literal -1 binary32))) |
(*.f32 (*.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (/.f32 u v)) (/.f32 #s(literal 1 binary32) v)) |
(*.f32 (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v)) u) |
| 1× | egg-herbie |
| 7 882× | accelerator-lowering-fma.f32 |
| 7 882× | accelerator-lowering-fma.f64 |
| 6 334× | *-lowering-*.f32 |
| 6 334× | *-lowering-*.f64 |
| 5 778× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 956 | 13792 |
| 1 | 3090 | 13081 |
| 0 | 8192 | 11874 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)))))) |
(/ (- (* 4 (pow (- 1 u) 2)) 1) (- (* -2 (- 1 u)) 1)) |
(- (+ (* -2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- 1 u)) (* v (- (* -2 (- 1 u)) 1)))) (* 4 (/ (pow (- 1 u) 2) (- (* -2 (- 1 u)) 1)))) (+ (* 1/2 (/ (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (- (* 4 (pow (- 1 u) 2)) 1)) (* v (pow (- (* -2 (- 1 u)) 1) 2)))) (/ 1 (- (* -2 (- 1 u)) 1)))) |
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3 |
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(+ (* -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)))))) |
-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))) |
-1 |
(- (* u (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 2))))) 1) |
(- (* u (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 2))))) 1) |
(- (* u (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 2))))) 1) |
(* u (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 2))))) |
(* u (- (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))) (/ 1 u))) |
(* u (- (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))) (/ 1 u))) |
(* u (- (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))) (/ 1 u))) |
(/ (* u (+ 4/3 (* 2 v))) (pow v 2)) |
(* -1 (* u (+ (* -1 (/ (+ 4/3 (* 2 v)) (pow v 2))) (/ 1 u)))) |
(* -1 (* u (+ (* -1 (/ (+ 4/3 (* 2 v)) (pow v 2))) (/ 1 u)))) |
(* -1 (* u (+ (* -1 (/ (+ 4/3 (* 2 v)) (pow v 2))) (/ 1 u)))) |
(* 4/3 (/ u (pow v 2))) |
(/ (+ (* 4/3 u) (* 2 (* u v))) (pow v 2)) |
(/ (+ (* 4/3 u) (* v (+ (* -1 v) (* 2 u)))) (pow v 2)) |
(/ (+ (* 4/3 u) (* v (+ (* -1 v) (* 2 u)))) (pow v 2)) |
-1 |
(- (* 2 (/ u v)) 1) |
(- (+ (* 4/3 (/ u (pow v 2))) (* 2 (/ u v))) 1) |
(- (+ (* 4/3 (/ u (pow v 2))) (* 2 (/ u v))) 1) |
-1 |
(- (* 2 (/ u v)) 1) |
(- (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) 1) |
(- (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) 1) |
(/ 4/3 (pow v 2)) |
(/ (+ 4/3 (* 2 v)) (pow v 2)) |
(/ (+ 4/3 (* 2 v)) (pow v 2)) |
(/ (+ 4/3 (* 2 v)) (pow v 2)) |
(/ 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) |
4/3 |
(+ 4/3 (* 2 v)) |
(+ 4/3 (* 2 v)) |
(+ 4/3 (* 2 v)) |
(* 2 v) |
(* v (+ 2 (* 4/3 (/ 1 v)))) |
(* v (+ 2 (* 4/3 (/ 1 v)))) |
(* v (+ 2 (* 4/3 (/ 1 v)))) |
(* 2 v) |
(* v (+ 2 (* 4/3 (/ 1 v)))) |
(* v (+ 2 (* 4/3 (/ 1 v)))) |
(* v (+ 2 (* 4/3 (/ 1 v)))) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(* 2 (/ u v)) |
(/ (+ (* 2 u) (* v (- (* 2 u) 2))) v) |
(/ (+ (* 2 u) (* v (- (* 2 u) 2))) v) |
(/ (+ (* 2 u) (* v (- (* 2 u) 2))) v) |
(- (* 2 u) 2) |
(- (+ (* 2 u) (* 2 (/ u v))) 2) |
(- (+ (* 2 u) (* 2 (/ u v))) 2) |
(- (+ (* 2 u) (* 2 (/ u v))) 2) |
(* -1 (+ 2 (* -2 u))) |
(+ (* -1 (+ 2 (* -2 u))) (* 2 (/ u v))) |
(+ (* -1 (+ 2 (* -2 u))) (* 2 (/ u v))) |
(+ (* -1 (+ 2 (* -2 u))) (* 2 (/ u v))) |
-2 |
(- (* u (* v (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))))) 2) |
(- (* u (* v (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))))) 2) |
(- (* u (* v (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))))) 2) |
(* u (* v (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))))) |
(* u (- (* v (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2))))) (* 2 (/ 1 u)))) |
(* u (- (* v (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2))))) (* 2 (/ 1 u)))) |
(* u (- (* v (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2))))) (* 2 (/ 1 u)))) |
(* u (+ 2 (* 2 (/ 1 v)))) |
(* -1 (* u (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (* 2 (/ 1 u))))) |
(* -1 (* u (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (* 2 (/ 1 u))))) |
(* -1 (* u (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (* 2 (/ 1 u))))) |
(* 2 (/ u v)) |
(/ (+ (* 2 u) (* v (- (* 2 u) 1))) v) |
(/ (+ (* 2 u) (* v (- (* 2 u) 1))) v) |
(/ (+ (* 2 u) (* v (- (* 2 u) 1))) v) |
(- (* 2 u) 1) |
(- (+ (* 2 u) (* 2 (/ u v))) 1) |
(- (+ (* 2 u) (* 2 (/ u v))) 1) |
(- (+ (* 2 u) (* 2 (/ u v))) 1) |
(+ 1 (* -1 (+ 2 (* -2 u)))) |
(+ 1 (+ (* -1 (+ 2 (* -2 u))) (* 2 (/ u v)))) |
(+ 1 (+ (* -1 (+ 2 (* -2 u))) (* 2 (/ u v)))) |
(+ 1 (+ (* -1 (+ 2 (* -2 u))) (* 2 (/ u v)))) |
-1 |
(- (* u (* v (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))))) 1) |
(- (* u (* v (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))))) 1) |
(- (* u (* v (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))))) 1) |
(* u (* v (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))))) |
(* u (- (* v (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2))))) (/ 1 u))) |
(* u (- (* v (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2))))) (/ 1 u))) |
(* u (- (* v (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2))))) (/ 1 u))) |
(* u (+ 2 (* 2 (/ 1 v)))) |
(* -1 (* u (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)))) |
(* -1 (* u (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)))) |
(* -1 (* u (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)))) |
(/ -2 v) |
(- (* u (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2))))) (* 2 (/ 1 v))) |
(- (* u (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2))))) (* 2 (/ 1 v))) |
(- (* u (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2))))) (* 2 (/ 1 v))) |
(* u (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2))))) |
(* u (- (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))) (* 2 (/ 1 (* u v))))) |
(* u (- (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))) (* 2 (/ 1 (* u v))))) |
(* u (- (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2)))) (* 2 (/ 1 (* u v))))) |
(/ (* u (+ 2 (* 2 (/ 1 v)))) v) |
(* -1 (* u (+ (* -1 (/ (+ 2 (* 2 (/ 1 v))) v)) (* 2 (/ 1 (* u v)))))) |
(* -1 (* u (+ (* -1 (/ (+ 2 (* 2 (/ 1 v))) v)) (* 2 (/ 1 (* u v)))))) |
(* -1 (* u (+ (* -1 (/ (+ 2 (* 2 (/ 1 v))) v)) (* 2 (/ 1 (* u v)))))) |
(* 2 (/ u (pow v 2))) |
(/ (+ (* 2 u) (* v (- (* 2 u) 2))) (pow v 2)) |
(/ (+ (* 2 u) (* v (- (* 2 u) 2))) (pow v 2)) |
(/ (+ (* 2 u) (* v (- (* 2 u) 2))) (pow v 2)) |
(/ (- (* 2 u) 2) v) |
(/ (- (+ (* 2 u) (* 2 (/ u v))) 2) v) |
(/ (- (+ (* 2 u) (* 2 (/ u v))) 2) v) |
(/ (- (+ (* 2 u) (* 2 (/ u v))) 2) v) |
(* -1 (/ (+ 2 (* -2 u)) v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v)) |
(/ 2 (pow v 2)) |
(/ (+ 2 (* 2 v)) (pow v 2)) |
(/ (+ 2 (* 2 v)) (pow v 2)) |
(/ (+ 2 (* 2 v)) (pow v 2)) |
(/ 2 v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
(/ 2 v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
-2 |
(- (* u (+ 2 (* 2 (/ 1 v)))) 2) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2) |
(* -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)) (/ 2 (pow u 2))))) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2))))) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 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 (- (* 2 u) 2))) v) |
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v) |
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v) |
(- (* 2 u) 2) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 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) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 2) |
(- (+ (* 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)))))) |
(* 1/6 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))) |
(/ (+ (* 1/6 (* u (+ 8 (* u (- (* 16 u) 24))))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2)) |
(/ (+ (* 1/6 (* u (+ 8 (* u (- (* 16 u) 24))))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))))) (pow v 2)) |
(/ (+ (* 1/6 (* u (+ 8 (* u (- (* 16 u) 24))))) (* 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 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 2) |
(- (+ (* 1/6 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (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 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) v))) v)) (* 2 u)) 2) |
(- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) v))) v)) (* 2 u)) 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 |
(- (* 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 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))) |
(/ (+ (* 1/6 (* u (+ 8 (* u (- (* 16 u) 24))))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2)) |
(/ (+ (* 1/6 (* u (+ 8 (* u (- (* 16 u) 24))))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 1))))) (pow v 2)) |
(/ (+ (* 1/6 (* u (+ 8 (* u (- (* 16 u) 24))))) (* v (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 1))))) (pow v 2)) |
(- (* 2 u) 1) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 1) |
(- (+ (* 1/6 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 1) |
(- (+ (* 1/6 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2))) (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u))) 1) |
(- (* 2 u) 1) |
(- (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) v))) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (* u (+ 8 (* u (- (* 16 u) 24)))) v))) v)) (* 2 u)) 1) |
(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))) |
(* 8 (/ u (pow v 2))) |
(* u (+ (* -24 (/ u (pow v 2))) (* 8 (/ 1 (pow v 2))))) |
(* u (+ (* u (- (* 16 (/ u (pow v 2))) (* 24 (/ 1 (pow v 2))))) (* 8 (/ 1 (pow v 2))))) |
(* u (+ (* u (- (* 16 (/ u (pow v 2))) (* 24 (/ 1 (pow v 2))))) (* 8 (/ 1 (pow v 2))))) |
(* 16 (/ (pow u 3) (pow v 2))) |
(* (pow u 3) (- (* 16 (/ 1 (pow v 2))) (* 24 (/ 1 (* u (pow v 2)))))) |
(* (pow u 3) (- (+ (* 16 (/ 1 (pow v 2))) (/ 8 (* (pow u 2) (pow v 2)))) (/ 24 (* u (pow v 2))))) |
(* (pow u 3) (- (+ (* 16 (/ 1 (pow v 2))) (/ 8 (* (pow u 2) (pow v 2)))) (/ 24 (* u (pow v 2))))) |
(* 16 (/ (pow u 3) (pow v 2))) |
(* -1 (* (pow u 3) (- (* 24 (/ 1 (* u (pow v 2)))) (* 16 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 (* u (pow v 2)))) (* 24 (/ 1 (pow v 2)))) u)) (* 16 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 (* u (pow v 2)))) (* 24 (/ 1 (pow v 2)))) u)) (* 16 (/ 1 (pow v 2)))))) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
| Outputs |
|---|
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)) |
(/ (- (* 4 (pow (- 1 u) 2)) 1) (- (* -2 (- 1 u)) 1)) |
(/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) |
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4 |
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(* -2 (- 1 u)) |
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-2 |
#s(literal -2 binary32) |
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(*.f32 u (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v))) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
(*.f32 u (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v))) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
(*.f32 u (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v))) |
(/ (* u (+ 8 (* u (- (* 16 u) 24)))) (pow v 2)) |
(*.f32 u (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)) (*.f32 v v))) |
Compiled 47 485 to 3 263 computations (93.1% saved)
60 alts after pruning (52 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 029 | 20 | 1 049 |
| Fresh | 10 | 32 | 42 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 041 | 60 | 1 101 |
| Status | Accuracy | Program |
|---|---|---|
| 14.2% | (fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.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))) | |
| 8.4% | (fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (*.f32 u #s(literal 2 binary32))) | |
| 10.7% | (fma.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u #s(literal -1 binary32)) | |
| ✓ | 99.6% | (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)) |
| 95.0% | (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #s(literal 1 binary32)) | |
| 14.2% | (fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 binary32)) | |
| 9.3% | (fma.f32 u (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (neg.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)) | |
| 12.3% | (fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) | |
| ✓ | 10.8% | (fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
| 10.8% | (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)) | |
| 8.0% | (fma.f32 u (+.f32 (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal -8 binary32) (*.f32 v (*.f32 v v)))) (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 4 binary32)) v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) | |
| 8.0% | (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 4 binary32)) v)) (+.f32 #s(literal 8 binary32) (/.f32 #s(literal -8 binary32) (*.f32 v (*.f32 v v)))))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) | |
| 14.1% | (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) | |
| 11.4% | (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) | |
| ✓ | 8.2% | (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
| 14.1% | (fma.f32 #s(literal 2 binary32) (/.f32 u v) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) | |
| 12.9% | (fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) | |
| 14.1% | (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) | |
| 14.2% | (fma.f32 #s(literal 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) | |
| 12.2% | (fma.f32 #s(literal 1/6 binary32) (*.f32 u (/.f32 (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 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))) | |
| 14.1% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) | |
| 8.2% | (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) | |
| 12.2% | (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) (*.f32 v v)) | |
| 12.3% | (/.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)) | |
| ✓ | 99.4% | (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #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))) |
| 99.4% | (/.f32 (+.f32 (*.f32 v (*.f32 v (pow.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 2 binary32)))) #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))) | |
| 8.5% | (/.f32 (*.f32 u (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32))) (*.f32 v v)) | |
| 11.1% | (/.f32 (*.f32 u #s(literal 2 binary32)) v) | |
| 99.4% | (/.f32 #s(literal 1 binary32) (/.f32 #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)))) | |
| 11.8% | (-.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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v)) | |
| 11.6% | (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.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)) (/.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)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 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)) | |
| 11.5% | (+.f32 (fma.f32 u #s(literal 2 binary32) #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 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) (*.f32 v (*.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)) (/.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)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32))) (*.f32 v v))))) | |
| ✓ | 99.5% | (+.f32 (*.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)) |
| 12.1% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal -2 binary32))) | |
| 11.8% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.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)))) | |
| 12.3% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) | |
| 14.1% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) | |
| 12.0% | (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)))) #s(literal -2 binary32))) | |
| 11.6% | (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) | |
| 12.2% | (+.f32 #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 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))) | |
| 11.9% | (+.f32 #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 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))) | |
| 12.1% | (+.f32 #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)) (*.f32 (*.f32 u u) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) (neg.f32 u)) (/.f32 #s(literal -2 binary32) v))))) | |
| 10.5% | (+.f32 #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)) #s(literal -2 binary32))) | |
| 12.5% | (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) | |
| 14.1% | (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) v)) | |
| 12.3% | (+.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 u (/.f32 #s(literal -4/3 binary32) v))) v))) | |
| 12.2% | (+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v))) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32)))) | |
| 6.0% | (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) | |
| 2.4% | (+.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)))) | |
| 13.4% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 v v)))) | |
| 12.1% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32)) v))) | |
| 98.8% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) u)))) | |
| 96.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) | |
| 11.1% | (*.f32 (*.f32 u u) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)) | |
| ✓ | 14.2% | (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))) |
| 11.1% | (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) | |
| 8.2% | (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) | |
| 20.3% | (*.f32 u #s(literal 2 binary32)) | |
| ✓ | 87.9% | #s(literal 1 binary32) |
| ✓ | 5.9% | #s(literal -1 binary32) |
Compiled 3 303 to 1 213 computations (63.3% 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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) |
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #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) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) |
(fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(/.f32 (*.f32 u (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32))) (*.f32 v v)) |
(fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) v)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) |
(fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(*.f32 (*.f32 u u) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)) |
(fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (*.f32 u #s(literal 2 binary32))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 v v)))) |
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(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (-.f32 (*.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))) v)) v)) |
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.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)) (/.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)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 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 (fma.f32 u #s(literal 2 binary32) #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 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) (*.f32 v (*.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)) (/.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)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32))) (*.f32 v v))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #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))) |
(/.f32 (+.f32 (*.f32 v (*.f32 v (pow.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 2 binary32)))) #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 u (fma.f32 u (fma.f32 v (/.f32 (*.f32 #s(literal -1/2 binary32) (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)))) (*.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)) |
(fma.f32 v (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 (/.f32 #s(literal 1/3 binary32) (*.f32 u (*.f32 u u))) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 3 binary32)))) (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))) |
| Outputs |
|---|
(+.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))))))) |
4 calls:
| 41.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 25.0ms | u |
| 24.0ms | v |
| 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 |
|---|---|---|
| 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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) |
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #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) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) |
(fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(/.f32 (*.f32 u (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32))) (*.f32 v v)) |
(fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) v)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) |
(fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(*.f32 (*.f32 u u) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)) |
(fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (*.f32 u #s(literal 2 binary32))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 v v)))) |
(+.f32 #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)) #s(literal -2 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 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(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 u #s(literal -2 binary32) (*.f32 u (/.f32 #s(literal -4/3 binary32) v))) v))) |
(+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (neg.f32 u))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (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)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 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))) 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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v)) |
(+.f32 #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 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))) |
(+.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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.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)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) |
(fma.f32 u (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (neg.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)) |
(+.f32 #s(literal 1 binary32) (*.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))))) |
(+.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 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (fma.f32 u (-.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))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) (*.f32 v v)) |
(+.f32 #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 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))) |
(fma.f32 #s(literal 1/6 binary32) (*.f32 u (/.f32 (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 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))) |
(+.f32 #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 (*.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))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v))) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32)))) |
(fma.f32 u (+.f32 (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal -8 binary32) (*.f32 v (*.f32 v v)))) (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 4 binary32)) v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #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 (-.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 #s(literal 1 binary32) (+.f32 (+.f32 (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 (-.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)))) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u))) |
(-.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) (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 u (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 4 binary32)) v)) (+.f32 #s(literal 8 binary32) (/.f32 #s(literal -8 binary32) (*.f32 v (*.f32 v v)))))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (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 #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))))) |
(+.f32 #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)) (*.f32 (*.f32 u u) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) (neg.f32 u)) (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (neg.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))) (*.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)))) |
(+.f32 #s(literal 1 binary32) (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 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))))) |
(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 #s(literal 1 binary32) (*.f32 v (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #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)) |
(+.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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) 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:
| 81.0ms | u |
| 24.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 23.0ms | v |
| 21.0ms | (+.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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) |
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #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) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) |
(fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(/.f32 (*.f32 u (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32))) (*.f32 v v)) |
(fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) v)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) |
(fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(*.f32 (*.f32 u u) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)) |
(fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (*.f32 u #s(literal 2 binary32))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 v v)))) |
(+.f32 #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)) #s(literal -2 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 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(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 u #s(literal -2 binary32) (*.f32 u (/.f32 #s(literal -4/3 binary32) v))) v))) |
(+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (neg.f32 u))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (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)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 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))) 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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v)) |
(+.f32 #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 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))) |
(+.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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.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)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) |
(fma.f32 u (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (neg.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)) |
(+.f32 #s(literal 1 binary32) (*.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))))) |
(+.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 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (fma.f32 u (-.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))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) (*.f32 v v)) |
(+.f32 #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 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))) |
(fma.f32 #s(literal 1/6 binary32) (*.f32 u (/.f32 (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 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))) |
(+.f32 #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 (*.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))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v))) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32)))) |
(fma.f32 u (+.f32 (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal -8 binary32) (*.f32 v (*.f32 v v)))) (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 4 binary32)) v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #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 (-.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 #s(literal 1 binary32) (+.f32 (+.f32 (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 (-.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)))) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u))) |
(-.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) (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 u (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 4 binary32)) v)) (+.f32 #s(literal 8 binary32) (/.f32 #s(literal -8 binary32) (*.f32 v (*.f32 v v)))))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (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 #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))))) |
(+.f32 #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)) (*.f32 (*.f32 u u) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) (neg.f32 u)) (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (neg.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))) (*.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)))) |
(+.f32 #s(literal 1 binary32) (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 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))))) |
(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 #s(literal 1 binary32) (*.f32 v (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #s(literal 1 binary32)) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
4 calls:
| 97.0ms | (+.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))))))) |
| 23.0ms | v |
| 22.0ms | u |
| 19.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 1 | u |
| 96.5% | 1 | v |
| 96.5% | 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))))))) |
| 96.5% | 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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) |
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #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) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) |
(fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(/.f32 (*.f32 u (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32))) (*.f32 v v)) |
(fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) v)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) |
(fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(*.f32 (*.f32 u u) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)) |
(fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (*.f32 u #s(literal 2 binary32))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 v v)))) |
(+.f32 #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)) #s(literal -2 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 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(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 u #s(literal -2 binary32) (*.f32 u (/.f32 #s(literal -4/3 binary32) v))) v))) |
(+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (neg.f32 u))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (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)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 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))) 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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v)) |
(+.f32 #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 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))) |
(+.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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.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)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) |
(fma.f32 u (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (neg.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)) |
(+.f32 #s(literal 1 binary32) (*.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))))) |
(+.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 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (fma.f32 u (-.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))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) (*.f32 v v)) |
(+.f32 #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 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))) |
(fma.f32 #s(literal 1/6 binary32) (*.f32 u (/.f32 (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 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))) |
(+.f32 #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 (*.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))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v))) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32)))) |
(fma.f32 u (+.f32 (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal -8 binary32) (*.f32 v (*.f32 v v)))) (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 4 binary32)) v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #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 (-.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 #s(literal 1 binary32) (+.f32 (+.f32 (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 (-.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)))) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u))) |
(-.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) (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 u (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 4 binary32)) v)) (+.f32 #s(literal 8 binary32) (/.f32 #s(literal -8 binary32) (*.f32 v (*.f32 v v)))))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (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 #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))))) |
(+.f32 #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)) (*.f32 (*.f32 u u) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) (neg.f32 u)) (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (neg.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))) (*.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)))) |
(+.f32 #s(literal 1 binary32) (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 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))))) |
(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 #s(literal 1 binary32) (*.f32 v (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v))) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
4 calls:
| 104.0ms | u |
| 22.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 21.0ms | v |
| 16.0ms | (+.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 |
|---|---|---|
| 87.9% | 1 | u |
| 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)))))) |
| 92.4% | 2 | 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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) |
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #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) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) |
(fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(/.f32 (*.f32 u (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32))) (*.f32 v v)) |
(fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) v)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) |
(fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(*.f32 (*.f32 u u) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)) |
(fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (*.f32 u #s(literal 2 binary32))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 v v)))) |
(+.f32 #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)) #s(literal -2 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 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(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 u #s(literal -2 binary32) (*.f32 u (/.f32 #s(literal -4/3 binary32) v))) v))) |
(+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (neg.f32 u))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (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)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 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))) 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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v)) |
(+.f32 #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 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))) |
(+.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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.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)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) |
(fma.f32 u (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (neg.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)) |
(+.f32 #s(literal 1 binary32) (*.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))))) |
(+.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 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (fma.f32 u (-.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))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) (*.f32 v v)) |
(+.f32 #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 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))) |
(fma.f32 #s(literal 1/6 binary32) (*.f32 u (/.f32 (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 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))) |
(+.f32 #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 (*.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))))) |
| Outputs |
|---|
(+.f32 #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 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))) |
#s(literal 1 binary32) |
2 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 | (+.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)))))) |
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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) |
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #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) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) |
(fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(/.f32 (*.f32 u (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32))) (*.f32 v v)) |
(fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) v)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) |
(fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(*.f32 (*.f32 u u) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)) |
(fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (*.f32 u #s(literal 2 binary32))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 v v)))) |
(+.f32 #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)) #s(literal -2 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 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(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 u #s(literal -2 binary32) (*.f32 u (/.f32 #s(literal -4/3 binary32) v))) v))) |
(+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (neg.f32 u))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (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)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 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))) 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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v)) |
(+.f32 #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 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))) |
(+.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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.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)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) |
(fma.f32 u (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (neg.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)) |
(+.f32 #s(literal 1 binary32) (*.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))))) |
(+.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 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (fma.f32 u (-.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))) |
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) (*.f32 v v)) |
| Outputs |
|---|
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) (*.f32 v v)) |
#s(literal 1 binary32) |
2 calls:
| 33.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 13.0ms | (+.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 |
|---|---|---|
| 92.4% | 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)))))) |
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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) |
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #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) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) |
(fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(/.f32 (*.f32 u (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32))) (*.f32 v v)) |
(fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) v)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) |
(fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(*.f32 (*.f32 u u) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)) |
(fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (*.f32 u #s(literal 2 binary32))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 v v)))) |
(+.f32 #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)) #s(literal -2 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 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(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 u #s(literal -2 binary32) (*.f32 u (/.f32 #s(literal -4/3 binary32) v))) v))) |
(+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (neg.f32 u))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (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)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 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))) 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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v)) |
(+.f32 #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 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))) |
(+.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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.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)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) |
(fma.f32 u (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (neg.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)) |
(+.f32 #s(literal 1 binary32) (*.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))))) |
(+.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 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (fma.f32 u (-.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))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (fma.f32 u (-.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))) |
#s(literal 1 binary32) |
3 calls:
| 16.0ms | (+.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 | (*.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 |
|---|---|---|
| 92.3% | 2 | v |
| 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)))))) |
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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) |
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #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) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) |
(fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(/.f32 (*.f32 u (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32))) (*.f32 v v)) |
(fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) v)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) |
(fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(*.f32 (*.f32 u u) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)) |
(fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (*.f32 u #s(literal 2 binary32))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 v v)))) |
(+.f32 #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)) #s(literal -2 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 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(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 u #s(literal -2 binary32) (*.f32 u (/.f32 #s(literal -4/3 binary32) v))) v))) |
(+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (neg.f32 u))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (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)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 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))) 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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v)) |
(+.f32 #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 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))) |
(+.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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.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)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) |
(fma.f32 u (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (neg.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)) |
(+.f32 #s(literal 1 binary32) (*.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))))) |
(+.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)))) |
| Outputs |
|---|
(fma.f32 u (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (neg.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:
| 16.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 13.0ms | (+.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 |
|---|---|---|
| 92.4% | 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)))))) |
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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) |
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #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) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) |
(fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(/.f32 (*.f32 u (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32))) (*.f32 v v)) |
(fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) v)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) |
(fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(*.f32 (*.f32 u u) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)) |
(fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (*.f32 u #s(literal 2 binary32))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 v v)))) |
(+.f32 #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)) #s(literal -2 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 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(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 u #s(literal -2 binary32) (*.f32 u (/.f32 #s(literal -4/3 binary32) v))) v))) |
(+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (neg.f32 u))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (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)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 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))) 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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v)) |
(+.f32 #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 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))) |
(+.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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.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)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 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 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) |
#s(literal 1 binary32) |
2 calls:
| 17.0ms | (*.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 |
|---|---|---|
| 92.4% | 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)))))) |
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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) |
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #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) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) |
(fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(/.f32 (*.f32 u (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32))) (*.f32 v v)) |
(fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) v)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) |
(fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(*.f32 (*.f32 u u) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)) |
(fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (*.f32 u #s(literal 2 binary32))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 v v)))) |
(+.f32 #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)) #s(literal -2 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 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(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 u #s(literal -2 binary32) (*.f32 u (/.f32 #s(literal -4/3 binary32) v))) v))) |
(+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (neg.f32 u))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (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)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 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))) 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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v)) |
(+.f32 #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 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))) |
(+.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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.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)))) |
| 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 #s(literal 2/3 binary32)) v)) (neg.f32 v))) v)) |
#s(literal 1 binary32) |
3 calls:
| 14.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 12.0ms | 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 | v |
| 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)))))) |
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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) |
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #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) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) |
(fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(/.f32 (*.f32 u (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32))) (*.f32 v v)) |
(fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) v)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) |
(fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(*.f32 (*.f32 u u) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)) |
(fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (*.f32 u #s(literal 2 binary32))) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1/2 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) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 v v)))) |
(+.f32 #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)) #s(literal -2 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 binary32) (*.f32 v v)))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(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 u #s(literal -2 binary32) (*.f32 u (/.f32 #s(literal -4/3 binary32) v))) v))) |
(+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)))) (*.f32 v v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (neg.f32 u))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (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)) #s(literal -2 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 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))) v))) |
| Outputs |
|---|
(fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
#s(literal 1 binary32) |
3 calls:
| 13.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) 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))))))) |
| 11.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) |
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #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) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) |
(fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))) |
(/.f32 (*.f32 u (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32))) (*.f32 v v)) |
(fma.f32 u (/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 4/3 binary32)) (*.f32 v v)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) v)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) |
| Outputs |
|---|
(fma.f32 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #s(literal -1 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)))))) |
| 6.0ms | 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 |
|---|---|---|
| 91.9% | 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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) |
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #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) (*.f32 (/.f32 (*.f32 u #s(literal -2 binary32)) v) u)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) |
#s(literal 1 binary32) |
3 calls:
| 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 | 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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v))) |
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)) |
| Outputs |
|---|
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)) |
#s(literal 1 binary32) |
2 calls:
| 6.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 4.0ms | (+.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 |
|---|---|---|
| 91.9% | 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 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 (*.f32 u #s(literal 2 binary32)) v) |
(fma.f32 #s(literal 2 binary32) (/.f32 u v) #s(literal -1 binary32)) |
(*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))) |
| Outputs |
|---|
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
3 calls:
| 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 | v |
| 3.0ms | (+.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 |
|---|---|---|
| 91.2% | 2 | v |
| 91.3% | 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))))))) |
| 91.3% | 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)) |
| Outputs |
|---|
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
#s(literal 1 binary32) |
2 calls:
| 3.0ms | (+.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))))))) |
| 2.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 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))))))) |
| 91.3% | 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)) |
| Outputs |
|---|
#s(literal 1 binary32) |
4 calls:
| 2.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 2.0ms | u |
| 2.0ms | v |
| 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 |
|---|---|---|
| 87.9% | 1 | u |
| 87.9% | 1 | v |
| 87.9% | 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))))))) |
| 87.9% | 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 | (+.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))))))) |
| 1.0ms | u |
| 1.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.9% | 1 | u |
| 5.9% | 1 | v |
| 5.9% | 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))))))) |
| 5.9% | 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× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335797309875488 | -0.8200287222862244 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.6335797309875488 | -0.8200287222862244 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335797309875488 | -0.8200287222862244 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335797309875488 | -0.8200287222862244 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335797309875488 | -0.8200287222862244 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335797309875488 | -0.8200287222862244 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335797309875488 | -0.8200287222862244 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335797309875488 | -0.8200287222862244 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335797309875488 | -0.8200287222862244 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335797309875488 | -0.8200287222862244 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335797309875488 | -0.8200287222862244 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335797309875488 | -0.8200287222862244 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335797309875488 | -0.8200287222862244 |
Compiled 20 to 18 computations (10% saved)
| 1× | egg-herbie |
| 64× | +-commutative_binary32 |
| 44× | *-commutative_binary32 |
| 24× | sub-neg_binary32 |
| 18× | neg-sub0_binary32 |
| 18× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 521 |
| 1 | 163 | 521 |
| 2 | 185 | 521 |
| 3 | 203 | 521 |
| 4 | 214 | 521 |
| 5 | 218 | 521 |
| 1× | saturated |
| Inputs |
|---|
(+.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))))))) |
(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)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(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) (+.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v))) #s(literal -2 binary32)) (*.f32 u #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 #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 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) 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 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) (*.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 -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (fma.f32 u (-.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))) #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 (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (neg.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)) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 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 #s(literal -2 binary32) (neg.f32 u) #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 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) (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 -1 binary32)) (fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #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 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #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 #s(literal 2 binary32) 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 2 binary32) (+.f32 u (/.f32 u 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) 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)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(literal -1 binary32) |
| Outputs |
|---|
(+.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))))))) |
(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)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(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) (+.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v))) #s(literal -2 binary32)) (*.f32 u #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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal -2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 u #s(literal 1/6 binary32)) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 v v)))) (*.f32 u #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 #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 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) 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 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) (*.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 -1 binary32)) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 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 (*.f32 u #s(literal 1/6 binary32)) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal -24 binary32)) #s(literal 8 binary32)))) (*.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 -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (fma.f32 u (-.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))) #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 (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (neg.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)) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 u #s(literal 8 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 #s(literal -2 binary32) (neg.f32 u) #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 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) (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 -1 binary32)) (fma.f32 u (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) #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 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal -1 binary32) u) #s(literal 2 binary32)) #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 u (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 u #s(literal -1 binary32)) #s(literal 2 binary32)) #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 #s(literal 2 binary32) 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 2 binary32) (+.f32 u (/.f32 u 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) 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)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(literal -1 binary32) |
| 12 100× | accelerator-lowering-fma.f32 |
| 12 100× | accelerator-lowering-fma.f64 |
| 8 780× | accelerator-lowering-fma.f32 |
| 8 780× | accelerator-lowering-fma.f64 |
| 8 748× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 541 | 5917 |
| 1 | 1532 | 5650 |
| 2 | 4793 | 5444 |
| 0 | 8517 | 4996 |
| 0 | 956 | 13792 |
| 1 | 3090 | 13081 |
| 0 | 8192 | 11874 |
| 0 | 669 | 5406 |
| 1 | 1955 | 5136 |
| 2 | 6268 | 5092 |
| 0 | 8110 | 4568 |
| 0 | 58 | 295 |
| 1 | 397 | 274 |
| 2 | 3792 | 268 |
| 0 | 9189 | 237 |
| 0 | 348 | 3329 |
| 1 | 979 | 3050 |
| 2 | 3105 | 2930 |
| 0 | 8179 | 2642 |
| 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 |
Compiled 973 to 442 computations (54.6% saved)
Compiled 1 080 to 256 computations (76.3% saved)
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