
Time bar (total: 8.6s)
| 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)
| 1.4s | 8 256× | 0 | valid |
const: 277.0ms (26.2% of total)ival-<=: 137.0ms (13% of total)ival-mult: 130.0ms (12.3% of total)ival-log: 114.0ms (10.8% of total)ival-add: 112.0ms (10.6% of total)ival-div: 84.0ms (8% of total)ival-exp: 79.0ms (7.5% of total)ival-sub: 76.0ms (7.2% of total)ival-and: 27.0ms (2.6% of total)exact: 14.0ms (1.3% of total)ival-assert: 4.0ms (0.4% of total)adjust: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 2 | (0.9278642535209656 0.010467279702425003) | 1 | (0.00020720642351079732 0.05762661248445511) | (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 | 1 | (0.9943726062774658 6.606470281647174e-19) | 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 | 2 | 4 |
log.f32 | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 1 |
| - | 3 | 252 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 3 | 4 | 248 |
| number | freq |
|---|---|
| 0 | 253 |
| 1 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 50.0ms | 512× | 0 | valid |
Compiled 161 to 40 computations (75.2% saved)
ival-log: 7.0ms (20.9% of total)ival-div: 6.0ms (17.9% of total)ival-add: 6.0ms (17.9% of total)ival-mult: 6.0ms (17.9% of total)ival-exp: 4.0ms (11.9% of total)ival-sub: 3.0ms (8.9% of total)exact: 1.0ms (3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 83 |
| 1 | 81 | 80 |
| 2 | 196 | 79 |
| 3 | 578 | 79 |
| 4 | 1868 | 79 |
| 0 | 12 | 15 |
| 0 | 20 | 15 |
| 1 | 35 | 15 |
| 2 | 71 | 15 |
| 3 | 181 | 15 |
| 4 | 512 | 15 |
| 5 | 2769 | 15 |
| 6 | 7834 | 15 |
| 0 | 8054 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 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))))))) |
| 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 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
Compiled 15 to 12 computations (20% saved)
Compiled 0 to 2 computations (-∞% 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 15 to 12 computations (20% 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 | 1 | (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) | |
| cost-diff | 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))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 71 |
| 0 | 20 | 71 |
| 1 | 35 | 71 |
| 2 | 71 | 71 |
| 3 | 181 | 71 |
| 4 | 512 | 71 |
| 5 | 2769 | 71 |
| 6 | 7834 | 71 |
| 0 | 8054 | 66 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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))))))) |
#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)))))) |
v |
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
u |
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(-.f32 #s(literal 1 binary32) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 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 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) |
v |
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
u |
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.040983801157537796 | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) | |
| accuracy | 0.060878759768442016 | (+.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 | 0.09761545026701576 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 0.29296875 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 28.0ms | 256× | 0 | valid |
Compiled 73 to 14 computations (80.8% saved)
ival-add: 4.0ms (22.8% of total)ival-log: 4.0ms (22.8% of total)ival-mult: 3.0ms (17.1% of total)ival-div: 2.0ms (11.4% of total)ival-exp: 2.0ms (11.4% of total)ival-sub: 1.0ms (5.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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))))))) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| Outputs |
|---|
-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) |
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 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) |
(/ -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))) |
(+ 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)))))))))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* 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))))))))) |
(+ (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)))))))))) |
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* 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 (- (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)))) |
1 |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(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) 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)))))) |
(* -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) 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) |
(- 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 (+ (* -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 (* -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))) |
(+ (* -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))) |
(* -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)) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 58.0ms | v | @ | 0 | ((+ 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))) |
| 4.0ms | u | @ | -inf | ((+ 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))) |
| 3.0ms | v | @ | inf | ((+ 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))) |
| 2.0ms | u | @ | inf | ((+ 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))) |
| 2.0ms | v | @ | -inf | ((+ 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 337 | 2667 |
| 1 | 1090 | 2450 |
| 2 | 4482 | 2387 |
| 0 | 8293 | 2134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 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) |
(/ -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))) |
(+ 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)))))))))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* 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))))))))) |
(+ (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)))))))))) |
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* 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 (- (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)))) |
1 |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(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) 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)))))) |
(* -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) 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) |
(- 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 (+ (* -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 (* -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))) |
(+ (* -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))) |
(* -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)) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
-2 |
#s(literal -2 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32)) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) |
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal -2 binary32) v)) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 u (exp.f32 (/.f32 #s(literal -6 binary32) v)))) #s(literal 1/3 binary32) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal -1/2 binary32))) u (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal -2 binary32) v)) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(fma.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
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1 |
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(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) 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)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (fma.f32 #s(literal 24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/6 binary32)) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) 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))))) |
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/24 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (fma.f32 #s(literal 24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/6 binary32)) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v))) |
(* -2 (/ (- 1 u) v)) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)) |
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v) |
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v) |
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (fma.f32 #s(literal 24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/6 binary32)) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v) |
(/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/24 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (fma.f32 #s(literal 24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/6 binary32)) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v))) v) |
(- 1 (* 2 (/ 1 v))) |
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v)) |
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) |
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) v) #s(literal 1 binary32)) |
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
(-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) v) #s(literal 1 binary32)) (/.f32 #s(literal 4/3 binary32) (pow.f32 v #s(literal 3 binary32)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))) |
(-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) #s(literal 1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) v) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) #s(literal 1/6 binary32))) v))) v)) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 #s(literal 1 binary32) u))) v)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (neg.f32 v))) 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))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) 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))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))))) v))) 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 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) 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) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) #s(literal 1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) 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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) v) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) #s(literal 1/6 binary32))) v))) v)) (neg.f32 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 53 |
| 0 | 20 | 53 |
| 1 | 74 | 53 |
| 2 | 488 | 53 |
| 3 | 5268 | 53 |
| 0 | 8312 | 48 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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))))))) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| Outputs |
|---|
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) #s(literal 2 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)) v (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32)))) (+.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (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)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32)))) |
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(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32)))) (fma.f32 (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)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))) |
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(-.f32 (log.f32 (fma.f32 (neg.f32 u) u (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (log.f32 (+.f32 (neg.f32 u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))) |
(-.f32 (log.f32 (+.f32 (neg.f32 (pow.f32 u #s(literal 3 binary32))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))) (log.f32 (neg.f32 (fma.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))))) |
(-.f32 (log.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 6 binary32)))) (log.f32 (*.f32 (+.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 4 binary32))) (pow.f32 u #s(literal 4 binary32))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))) |
(-.f32 (log.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 6 binary32)))) (log.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (fma.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 9 binary32)) (pow.f32 u #s(literal 9 binary32)))) (log.f32 (*.f32 (+.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 6 binary32)) (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (pow.f32 u #s(literal 6 binary32))) (fma.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))))) |
(-.f32 (log.f32 (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (log.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))) |
(-.f32 (log.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))) (log.f32 (fma.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u)))) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32) (log.f32 (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))) |
(fma.f32 #s(literal 1 binary32) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (log.f32 (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))) |
(+.f32 (log.f32 (/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (-.f32 (pow.f32 u #s(literal 4 binary32)) (pow.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))))) (log.f32 (-.f32 (*.f32 u u) (*.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))) |
(+.f32 (log.f32 (/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 u #s(literal 6 binary32))))) (log.f32 (fma.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.f32 u u)) (pow.f32 u #s(literal 4 binary32))))) |
(+.f32 (log.f32 (/.f32 (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) |
(+.f32 (log.f32 (/.f32 (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))))) (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (*.f32 u u)))) |
(+.f32 (log.f32 (fma.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (fma.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))))) |
(+.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (log.f32 (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (-.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))) |
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32)) |
(/.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 2 binary32)) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))) (neg.f32 (-.f32 (cosh.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v))))) #s(literal 4 binary32)) |
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 4 binary32)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)))) |
(/.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(/.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (-.f32 (cosh.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) |
(-.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (/.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) |
(-.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) |
(pow.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(+.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))))) (/.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(+.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) |
(+.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
Compiled 13 430 to 1 449 computations (89.2% saved)
24 alts after pruning (24 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 270 | 24 | 294 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 271 | 24 | 295 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.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)) | |
| ▶ | 99.7% | (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)) |
| 99.3% | (fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) | |
| 99.3% | (/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))) | |
| ▶ | 99.3% | (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))) |
| 99.5% | (+.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32)) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))))) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) | |
| 4.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (fma.f32 (neg.f32 u) u (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (log.f32 (+.f32 (neg.f32 u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))))) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) u)))) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))))) | |
| ▶ | 9.6% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
| 12.9% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)))) | |
| 7.6% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) | |
| 13.6% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)))) | |
| 11.2% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) | |
| 9.6% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) | |
| 99.5% | (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32)))) (fma.f32 (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)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))) | |
| 7.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) | |
| 4.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| ▶ | 4.5% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
| 9.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) | |
| 87.9% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) | |
| ▶ | 5.5% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 1 326 to 888 computations (33% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) | |
| cost-diff | 0 | (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) | |
| cost-diff | 0 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| cost-diff | 2 | (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) | |
| cost-diff | 0 | (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) | |
| cost-diff | 0 | (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)) | |
| cost-diff | 0 | (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))) | |
| cost-diff | 0 | (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)) | |
| cost-diff | 0 | #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) | |
| cost-diff | 0 | (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))) | |
| cost-diff | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) | |
| cost-diff | 0 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 407 |
| 0 | 75 | 400 |
| 1 | 121 | 396 |
| 2 | 259 | 396 |
| 3 | 848 | 396 |
| 4 | 3799 | 396 |
| 0 | 8470 | 391 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
#s(literal 1 binary32) |
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))) |
v |
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) |
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
u |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.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) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
(-.f32 #s(literal 1 binary32) u) |
u |
(neg.f32 v) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) |
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
(*.f32 u #s(literal -1/2 binary32)) |
u |
#s(literal -1/2 binary32) |
(*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) |
(/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) |
(pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) |
(expm1.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
#s(literal 2 binary32) |
(exp.f32 (/.f32 #s(literal -4 binary32) v)) |
(/.f32 #s(literal -4 binary32) v) |
#s(literal -4 binary32) |
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 1 binary32) |
| Outputs |
|---|
(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 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v) |
v |
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) |
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
u |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (neg.f32 v)))) |
#s(literal 1 binary32) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))) |
(log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (neg.f32 v))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)) |
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (neg.f32 v)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
(-.f32 #s(literal 1 binary32) u) |
u |
(neg.f32 v) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 1 binary32))) |
(-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(-.f32 (*.f32 (*.f32 u v) (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 1 binary32)) |
(*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) |
(*.f32 (*.f32 u v) (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) |
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
(*.f32 (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) v) |
(*.f32 u #s(literal -1/2 binary32)) |
(*.f32 #s(literal -1/2 binary32) u) |
u |
#s(literal -1/2 binary32) |
(*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) |
(*.f32 (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) |
(/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) |
(pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) |
(expm1.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
#s(literal 2 binary32) |
(exp.f32 (/.f32 #s(literal -4 binary32) v)) |
(/.f32 #s(literal -4 binary32) v) |
#s(literal -4 binary32) |
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 1 binary32) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09650848522316578 | (expm1.f32 (/.f32 #s(literal 2 binary32) v)) | |
| accuracy | 0.13967517734132437 | (exp.f32 (/.f32 #s(literal -4 binary32) v)) | |
| accuracy | 5.160142102348617 | (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) | |
| accuracy | 6.491177586753774 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| accuracy | 0.060878759768442016 | (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))) | |
| accuracy | 0.06823880085870934 | (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)) | |
| accuracy | 0.09761545026701576 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 2.4322099330417317 | (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))) | |
| accuracy | 0.060878759768442016 | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) | |
| accuracy | 0.0859375 | (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))) | |
| accuracy | 0.09650848522316578 | (expm1.f32 (/.f32 #s(literal 2 binary32) v)) | |
| accuracy | 6.626476729291923 | #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) | |
| accuracy | 6.98625983854426 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) | |
| accuracy | 0.01953125 | (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) | |
| accuracy | 0.040983801157537796 | (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) | |
| accuracy | 0.041347509768442016 | (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)) | |
| accuracy | 0.09761545026701576 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| 66.0ms | 192× | 0 | exit |
| 28.0ms | 64× | 0 | valid |
Compiled 389 to 43 computations (88.9% saved)
ival-mult: 21.0ms (29.3% of total)ival-log: 11.0ms (15.3% of total)ival-div: 8.0ms (11.2% of total)ival-add: 8.0ms (11.2% of total)ival-exp: 5.0ms (7% of total)ival-pow: 5.0ms (7% of total)ival-expm1: 4.0ms (5.6% of total)ival-sub: 4.0ms (5.6% of total)ival-pow2: 4.0ms (5.6% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(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)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))) |
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) |
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)) |
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(exp.f32 (/.f32 #s(literal -4 binary32) v)) |
| Outputs |
|---|
-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) |
(/ -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))) |
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 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) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
(- (* u (- (* -1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))) (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1) |
(- (* u (- (* u (- (* -1/6 (* u (+ (* -2 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (+ (* 6 (* v (* (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3)))))))))) (* 1/2 (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))) (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1) |
2 |
(+ 2 (* -1 (* u (* v (- (/ 1 (exp (/ -2 v))) 1))))) |
(+ 2 (* u (+ (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* 1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))))) |
(+ 2 (* u (+ (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* u (+ (* 1/6 (* u (+ (* -2 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (+ (* 6 (* v (* (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3)))))))))) (* 1/2 (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))))))) |
(exp 2) |
(+ (exp 2) (* -1 (* u (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))))) |
(+ (exp 2) (* u (+ (* -1 (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))) (* u (* (exp 2) (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))) |
(+ (exp 2) (* u (+ (* -1 (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))) (* u (+ (* u (* (exp 2) (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))))))) (* (exp 2) (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))))) |
(* v (- (exp (/ 2 v)) 1)) |
(+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1))) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 1) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))) 1) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(* u (+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 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)))))))))) |
(+ (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)))))))))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* 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))))))))) |
(* u (- (exp (/ 2 v)) 1)) |
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v)))))) |
(- 1 (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))) |
(- (+ 1 (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))) |
(- (+ 1 (* -1/2 (/ (+ (* -1 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))))) (pow u 2)))) (+ (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (* -1 (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(- (+ 1 (* -1/6 (/ (+ (* -2 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (+ (* 6 (+ (* -1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (+ (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* -1/6 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))))) (* 6 (/ (* v (* (exp (/ -2 v)) (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))))) (+ 1 (* -1 (exp (/ -2 v)))))))) (pow u 3)))) (+ (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) (* 1/2 (/ (+ (* -1 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))))) (pow u 2)))))) |
(* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(+ (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (* -1 (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) (* 1/2 (/ (+ (* -1 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))))) (pow u 2))))) |
(+ (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) (+ (* 1/6 (/ (+ (* -2 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (+ (* 6 (+ (* -1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (+ (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* -1/6 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))))) (* 6 (/ (* v (* (exp (/ -2 v)) (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))))) (+ 1 (* -1 (exp (/ -2 v)))))))) (pow u 3))) (* 1/2 (/ (+ (* -1 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))))) (pow u 2)))))) |
(exp (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))) |
(+ (exp (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))) (* -1 (/ (* v (* (exp (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))) (exp (/ -2 v)))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ (exp (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))) (+ (* -1 (/ (* v (* (exp (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))) (exp (/ -2 v)))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) (/ (* (exp (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))) (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))) (pow u 2)))) |
(+ (exp (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))) (+ (* -1 (/ (* v (* (exp (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))) (exp (/ -2 v)))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) (+ (/ (* (exp (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))) (+ (* -1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (+ (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* -1/6 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))))) (pow u 3)) (/ (* (exp (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))) (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))) (pow u 2))))) |
(* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) |
(* u (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u))) |
(* -1/2 (/ (* (pow u 2) (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) |
(* (pow u 2) (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u))) |
(* (pow u 2) (- (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)) (/ 1 (pow u 2)))) |
(+ 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 (- (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)))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* 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)))))) |
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(+ 2 (* -1 (/ (- (* 2 u) 2) v))) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))) v)) (* 2 u)) 2) v))) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (+ (* -1 (/ (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3) v)) (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* 2 u)) 2) v))) |
(- (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3)) v)) (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1) |
(+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3)) v)) (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) |
(* -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)) |
(+ 1 (* -1 (/ (- 4 (* 8 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) v))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | v | @ | 0 | ((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 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)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (- (exp (/ 2 v)) 1) (exp (/ -4 v))) |
| 8.0ms | u | @ | inf | ((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 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)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (- (exp (/ 2 v)) 1) (exp (/ -4 v))) |
| 7.0ms | u | @ | -inf | ((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 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)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (- (exp (/ 2 v)) 1) (exp (/ -4 v))) |
| 6.0ms | u | @ | 0 | ((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 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)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (- (exp (/ 2 v)) 1) (exp (/ -4 v))) |
| 6.0ms | v | @ | inf | ((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 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)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (- (exp (/ 2 v)) 1) (exp (/ -4 v))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 995 | 9681 |
| 1 | 3609 | 9374 |
| 0 | 9029 | 8433 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
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(/ -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))) |
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(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
-2 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2) |
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2 |
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(exp 2) |
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(- (+ 1 (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) (* 2 (- 1 u))) |
(- (+ 1 (* -1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2)))) (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u)))) |
(- (+ 1 (* -1/6 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -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))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) (pow v 3)))) (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (+ (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2))) (* 2 (- 1 u))))) |
(* 2 (- 1 u)) |
(+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) |
(+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (+ (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2))) (* 2 (- 1 u)))) |
(+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (+ (* 1/6 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -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))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2))) (* 2 (- 1 u))))) |
(exp (* 2 (- 1 u))) |
(+ (exp (* 2 (- 1 u))) (* -1/2 (/ (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) v))) |
(+ (exp (* 2 (- 1 u))) (+ (* -1/2 (/ (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) v)) (/ (* (exp (* 2 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)))) (pow v 2)))) |
(+ (exp (* 2 (- 1 u))) (+ (* -1/2 (/ (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) v)) (+ (/ (* (exp (* 2 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)))) (pow v 2)) (/ (* (exp (* 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))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -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 (+ (* -2 (/ u v)) (* 2 (/ 1 v)))) |
(+ 2 (+ (* -2 (/ u v)) (+ (* -1/2 (/ (- (* -8 u) (* -16 u)) (pow v 2))) (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))))) |
(+ 2 (+ (* -2 (/ u v)) (+ (* -1/2 (/ (- (* -8 u) (* -16 u)) (pow v 2))) (+ (* -1/2 (/ (- (* 28/3 u) (+ (* -4 (- (* -8 u) (* -16 u))) (* 32 u))) (pow v 3))) (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2)))))))) |
(- (* 2 u) 1) |
(- (+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v)) 1) |
(- (+ (* 2 u) (+ (/ (* u (+ 4/3 (* -1/2 (- (* -8 u) (* -16 u))))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v))) 1) |
(- (+ (* 2 u) (+ (/ (* u (+ 2/3 (* -1/2 (- (* 28/3 u) (+ (* -4 (- (* -8 u) (* -16 u))) (* 32 u)))))) (pow v 3)) (+ (/ (* u (+ 4/3 (* -1/2 (- (* -8 u) (* -16 u))))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v)))) 1) |
(* 2 u) |
(+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v)) |
(+ (* 2 u) (+ (/ (* u (+ 4/3 (* -1/2 (- (* -8 u) (* -16 u))))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v))) |
(+ (* 2 u) (+ (/ (* u (+ 2/3 (* -1/2 (- (* 28/3 u) (+ (* -4 (- (* -8 u) (* -16 u))) (* 32 u)))))) (pow v 3)) (+ (/ (* u (+ 4/3 (* -1/2 (- (* -8 u) (* -16 u))))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v)))) |
(/ 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) |
(- 1 (* 4 (/ 1 v))) |
(- (+ 1 (/ 8 (pow v 2))) (* 4 (/ 1 v))) |
(- (+ 1 (/ 8 (pow v 2))) (+ (* 4 (/ 1 v)) (* 32/3 (/ 1 (pow v 3))))) |
(+ 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 (/ (+ (* -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)) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) 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))) |
(* -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)) |
(- (+ 1 (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 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))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 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))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v))) |
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 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))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))) v)) (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v))) |
(+ 2 (* -1 (/ (- (* 2 u) 2) v))) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))) v)) (* 2 u)) 2) v))) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (+ (* -1 (/ (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3) v)) (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* 2 u)) 2) v))) |
(- (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3)) v)) (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1) |
(+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3)) v)) (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) |
(* -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)) |
(+ 1 (* -1 (/ (- 4 (* 8 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) v))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 u v) (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 u (*.f32 v (pow.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) #s(literal 1/3 binary32) (*.f32 (*.f32 v (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) |
(-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v)) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(-.f32 (*.f32 (fma.f32 (*.f32 u (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u) (/.f32 #s(literal 2 binary32) v)) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 u (pow.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (*.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -1/2 binary32))) u (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u) (/.f32 #s(literal 2 binary32) v)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(fma.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) u (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
-2 |
#s(literal -2 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 u v) (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32)) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 u (*.f32 v (pow.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) #s(literal 1/3 binary32) (*.f32 (*.f32 v (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32)) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
(-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v)) |
(- (* u (- (* -1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))) (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1) |
(-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u) (fma.f32 (neg.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 v v) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v) (*.f32 v (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))))) #s(literal 2 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))) u) #s(literal 1 binary32)) |
(- (* u (- (* u (- (* -1/6 (* u (+ (* -2 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (+ (* 6 (* v (* (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3)))))))))) (* 1/2 (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))) (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1) |
(-.f32 (*.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) u) (fma.f32 #s(literal 6 binary32) (fma.f32 (*.f32 v (*.f32 #s(literal 1/2 binary32) (fma.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v) (*.f32 v (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))))) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (fma.f32 (*.f32 (*.f32 v v) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (fma.f32 (*.f32 v (pow.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))))) (*.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)) #s(literal -2 binary32))) (*.f32 #s(literal -1/2 binary32) (fma.f32 (neg.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 v v) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v) (*.f32 v (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))))) #s(literal 2 binary32))))) u) (*.f32 (neg.f32 v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (* u (* v (- (/ 1 (exp (/ -2 v))) 1))))) |
(fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) |
(+ 2 (* u (+ (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* 1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))))) |
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(+ 2 (* u (+ (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* u (+ (* 1/6 (* u (+ (* -2 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (+ (* 6 (* v (* (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3)))))))))) (* 1/2 (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))))))) |
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(exp 2) |
(exp.f32 #s(literal 2 binary32)) |
(+ (exp 2) (* -1 (* u (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))))) |
(fma.f32 (neg.f32 u) (*.f32 (*.f32 v (exp.f32 #s(literal 2 binary32))) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 #s(literal 2 binary32))) |
(+ (exp 2) (* u (+ (* -1 (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))) (* u (* (exp 2) (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))) |
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(+ (exp 2) (* u (+ (* -1 (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))) (* u (+ (* u (* (exp 2) (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))))))) (* (exp 2) (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))))) |
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(* v (- (exp (/ 2 v)) 1)) |
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) |
(+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1))) |
(fma.f32 (*.f32 u (*.f32 v (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 1) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))) 1) |
(-.f32 (*.f32 (fma.f32 (*.f32 u (*.f32 v (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(* u (+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))) |
(*.f32 (fma.f32 (*.f32 u (*.f32 v (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(fma.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 u))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+.f32 (fma.f32 (/.f32 v (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 u))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v)) #s(literal 1 binary32)) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) v) (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 (/.f32 v (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 u))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v))) #s(literal 1 binary32)) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) v) (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 (*.f32 v (pow.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (fma.f32 (/.f32 v (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 u))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v)))) #s(literal 1 binary32)) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) |
(+.f32 (neg.f32 (neg.f32 (log.f32 u))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+.f32 (+.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (neg.f32 (neg.f32 (log.f32 u)))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 u))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (fma.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 u u)) (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 u))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 (pow.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)))))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) u) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) u) |
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) |
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1 |
#s(literal 1 binary32) |
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(exp (* 2 (- 1 u))) |
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(- (* 2 u) 1) |
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(- (+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v)) 1) |
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(+ 1 (* -1 (/ (- 4 (* 8 (/ 1 v))) v))) |
(fma.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) #s(literal -1 binary32) #s(literal 1 binary32)) |
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) v))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v) #s(literal -1 binary32) #s(literal 4 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 297 |
| 0 | 75 | 288 |
| 1 | 286 | 284 |
| 2 | 1923 | 284 |
| 0 | 9064 | 279 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))) |
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) |
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)) |
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(exp.f32 (/.f32 #s(literal -4 binary32) v)) |
| Outputs |
|---|
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (*.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v) (*.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (neg.f32 (neg.f32 v)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 (neg.f32 v)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (*.f32 (neg.f32 (neg.f32 v)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 v)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))))) |
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))))))) |
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(pow.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)) (*.f32 (/.f32 (neg.f32 v) #s(literal 2 binary32)) #s(literal 1 binary32))) |
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(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 v #s(literal -1 binary32))) |
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 v) #s(literal 2 binary32))) #s(literal 1 binary32))) |
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(fma.f32 (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) v) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(fma.f32 (/.f32 (fabs.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) v) (/.f32 (fabs.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(fma.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) v) (/.f32 (*.f32 v (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(fma.f32 (/.f32 (*.f32 u u) v) (/.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) v) (/.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(fma.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) v) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (*.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(fma.f32 (/.f32 u v) (/.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v (-.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(fma.f32 (/.f32 v (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (/.f32 (expm1.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) |
(fma.f32 (*.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) u) #s(literal -1/2 binary32) (*.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) v)) |
(fma.f32 (*.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) u) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) v)) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) u (*.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) v)) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
(fma.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) v (*.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) v)) |
(fma.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u)) v (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
(fma.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 #s(literal -1/2 binary32) u) (*.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) v)) |
(fma.f32 (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 #s(literal -1/2 binary32) u) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
(fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 v (*.f32 #s(literal -1/2 binary32) u)) (*.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) v)) |
(fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 v (*.f32 #s(literal -1/2 binary32) u)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) v)) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v)) (*.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) v)) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) |
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(fma.f32 u (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (*.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) v)) |
(fma.f32 u (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
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(/.f32 (neg.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (-.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) |
(/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal 4 binary32) v))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) (neg.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) |
(/.f32 (expm1.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) |
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) |
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) |
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) |
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) |
(+.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) |
(*.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(*.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (neg.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v))))) |
(*.f32 (fabs.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (fabs.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v))))) |
(*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v))) (sqrt.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)))) |
(*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (fma.f32 (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 (*.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(/.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) (cosh.f32 (/.f32 #s(literal -4 binary32) v)))))) |
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -4 binary32) v)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal 2 binary32)) |
(/.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -4 binary32) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal 2 binary32)) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) (sinh.f32 (/.f32 #s(literal -4 binary32) v))))))) |
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -4 binary32) v))))) #s(literal 4 binary32)) |
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -4 binary32) v))))) #s(literal 4 binary32)) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) (sinh.f32 (/.f32 #s(literal -4 binary32) v)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v)))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 4 binary32) v))) |
(-.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v)))) (/.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))))) |
(-.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) (sinh.f32 (/.f32 #s(literal 4 binary32) v))) |
(fma.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))) |
(pow.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) |
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) |
(fabs.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v))) |
(+.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32)) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) (sinh.f32 (/.f32 #s(literal -4 binary32) v)))))) (/.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32)) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) (sinh.f32 (/.f32 #s(literal -4 binary32) v))))))) |
(+.f32 (cosh.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (sinh.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) |
(+.f32 (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) (cosh.f32 (/.f32 #s(literal -4 binary32) v))) |
(+.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) (sinh.f32 (/.f32 #s(literal -4 binary32) v))) |
(exp.f32 (/.f32 #s(literal -4 binary32) v)) |
(exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) |
Compiled 50 351 to 4 184 computations (91.7% saved)
38 alts after pruning (35 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 783 | 27 | 810 |
| Fresh | 11 | 8 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 796 | 38 | 834 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.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)) |
| 99.6% | (fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) | |
| ✓ | 99.7% | (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)) |
| 95.2% | (fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) | |
| 7.6% | (fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32)) | |
| 9.6% | (fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) | |
| 99.3% | (fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) | |
| 99.3% | (/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) | |
| 99.2% | (/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) | |
| ▶ | 94.7% | (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))) |
| ▶ | 9.6% | (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
| 99.5% | (+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) | |
| 4.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (fma.f32 (neg.f32 u) u (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (log.f32 (+.f32 (neg.f32 u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))))) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))))) | |
| ✓ | 9.6% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
| 11.1% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) | |
| 10.7% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) | |
| ▶ | 12.7% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
| 7.6% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) | |
| 12.8% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v)))))) | |
| 11.2% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) | |
| 10.7% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) | |
| 9.5% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u))))) | |
| 99.5% | (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32)))) (fma.f32 (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)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))) | |
| 7.6% | #s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) | |
| 9.6% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) | |
| ▶ | 87.9% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
| 4.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| 9.9% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v) #s(literal -1 binary32) #s(literal 4 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| 9.9% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| 4.5% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))) | |
| 9.9% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) | |
| 10.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) | |
| 13.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32))) | |
| 13.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32))) | |
| 7.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) | |
| ✓ | 5.5% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 2 753 to 1 838 computations (33.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) | |
| cost-diff | 0 | (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)) | |
| cost-diff | 0 | (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))) | |
| cost-diff | 0 | (neg.f32 (*.f32 u v)) | |
| cost-diff | 0 | (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) | |
| cost-diff | 0 | #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)) | |
| cost-diff | 0 | #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))) | |
| cost-diff | 0 | (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))) | |
| cost-diff | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) | |
| cost-diff | 0 | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) | |
| cost-diff | 0 | (pow.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 | (log.f32 (pow.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 v #s(literal 2 binary32)) | |
| cost-diff | 0 | (fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 410 |
| 0 | 86 | 407 |
| 1 | 127 | 407 |
| 2 | 235 | 407 |
| 3 | 647 | 407 |
| 4 | 2116 | 407 |
| 0 | 8401 | 405 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.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 v #s(literal 2 binary32)) |
v |
#s(literal 2 binary32) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
#s(literal 1 binary32) |
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))) |
v |
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))) |
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)) |
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) |
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v) |
(+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
u |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) |
(fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) |
(neg.f32 (*.f32 u v)) |
(*.f32 u v) |
u |
v |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))) |
#s(literal 1 binary32) |
(log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))) |
(pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)) |
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) |
(neg.f32 u) |
u |
(expm1.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
(neg.f32 v) |
| Outputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.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 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) (/.f32 v #s(literal 2 binary32)) #s(literal 1 binary32)) |
(/.f32 v #s(literal 2 binary32)) |
v |
#s(literal 2 binary32) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) |
(log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) |
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))) v) |
v |
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))) |
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)) |
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) |
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v) |
(+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
u |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (-.f32 #s(literal 2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v))))) |
#s(literal 1 binary32) |
#s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) |
#s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (-.f32 #s(literal 2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v)))) |
(fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) |
(-.f32 #s(literal 2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v))) |
(neg.f32 (*.f32 u v)) |
(*.f32 (neg.f32 v) u) |
(*.f32 u v) |
u |
v |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (neg.f32 v)))) |
#s(literal 1 binary32) |
(log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))) |
(log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (neg.f32 v))) |
(pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)) |
(pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (neg.f32 v)) |
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) |
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) |
(*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) |
(*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) |
(neg.f32 u) |
u |
(expm1.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
(neg.f32 v) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.060878759768442016 | (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))) | |
| accuracy | 0.06823880085870934 | (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)) | |
| accuracy | 1.5985324927535505 | #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) | |
| accuracy | 23.74806856120007 | (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))) | |
| accuracy | 0.01953125 | (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) | |
| accuracy | 0.060878759768442016 | (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) | |
| accuracy | 0.09650848522316578 | (expm1.f32 (/.f32 #s(literal 2 binary32) v)) | |
| accuracy | 30.07115712985894 | #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) | |
| accuracy | 0.14453125 | (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v) | |
| accuracy | 0.29296875 | (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))) | |
| accuracy | 14.32842378177185 | #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) | |
| accuracy | 30.3146589265313 | #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))) | |
| accuracy | 3.8676010984977185 | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) | |
| accuracy | 0.03515625 | (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) | |
| accuracy | 0.041347509768442016 | (fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.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)) | |
| accuracy | 0.09761545026701576 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 0.10967506092597981 | (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) |
| 141.0ms | 174× | 1 | valid |
| 25.0ms | 82× | 0 | valid |
Compiled 312 to 42 computations (86.5% saved)
adjust: 23.0ms (18.9% of total)ival-add: 21.0ms (17.2% of total)ival-mult: 19.0ms (15.6% of total)ival-log: 18.0ms (14.8% of total)ival-div: 11.0ms (9% of total)ival-pow: 10.0ms (8.2% of total)ival-expm1: 6.0ms (4.9% of total)ival-sub: 4.0ms (3.3% of total)ival-pow2: 4.0ms (3.3% of total)ival-neg: 3.0ms (2.5% of total)ival-exp: 2.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.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 v #s(literal 2 binary32)) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))) |
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))) |
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
#s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) |
(fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) |
(neg.f32 (*.f32 u v)) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))) |
(log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))) |
(pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)) |
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) |
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
| Outputs |
|---|
(+ 1 (* 1/2 (* v (log (pow (exp (/ -2 v)) 2))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (/ (* u (* v (+ 1 (* -1 (exp (/ -2 v)))))) (exp (/ -2 v))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* 1/4 (* u (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* u (+ (* 1/12 (* u (* v (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))))))) (* 1/4 (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(log (pow (exp (/ -2 v)) 2)) |
(+ (log (pow (exp (/ -2 v)) 2)) (* 2 (/ (* u (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 1/2 (* u (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))) (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))) (* u (+ (* 1/6 (* u (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))))) |
(pow (exp (/ -2 v)) 2) |
(+ (* 2 (* u (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))))) (pow (exp (/ -2 v)) 2)) |
(+ (* u (+ (* 2 (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow (exp (/ -2 v)) 2)) |
-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) |
-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) |
(/ -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))) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
(- (* u (- (* -1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))) (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1) |
(- (* u (- (* u (- (* -1/6 (* u (+ (* -2 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (+ (* 6 (* v (* (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3)))))))))) (* 1/2 (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))) (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1) |
2 |
(+ 2 (* -1 (* u (* v (- (/ 1 (exp (/ -2 v))) 1))))) |
(+ 2 (* u (+ (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* 1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))))) |
(+ 2 (* u (+ (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* u (+ (* 1/6 (* u (+ (* -2 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (+ (* 6 (* v (* (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3)))))))))) (* 1/2 (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))))))) |
(+ 2 (* -1 (* u (* v (- (exp (/ 2 v)) 1))))) |
(* -1 (* u v)) |
(exp 2) |
(+ (exp 2) (* -1 (* u (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))))) |
(+ (exp 2) (* u (+ (* -1 (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))) (* u (* (exp 2) (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))) |
(+ (exp 2) (* u (+ (* -1 (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))) (* u (+ (* u (* (exp 2) (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))))))) (* (exp 2) (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))))) |
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+ 1 (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u))))))) |
(+ 1 (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ 1 (+ (* 1/4 (/ (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))) (pow u 2))) (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ 1 (+ (* 1/12 (/ (* v (+ (* -12 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 16 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))))) (pow u 3))) (+ (* 1/4 (/ (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))) (pow u 2))) (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow u 2))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (+ (* 1/6 (/ (+ (* -12 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 16 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (pow u 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow u 2))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))) |
(* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) |
(* (pow u 2) (+ (* 2 (/ (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))) u)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) |
(* (pow u 2) (+ (* 2 (/ (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))) u)) (+ (/ (pow (exp (/ -2 v)) 2) (pow u 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) |
(+ 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)))))))))) |
(* 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))))))))) |
(+ (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)))))))))) |
(* u (- (exp (/ 2 v)) 1)) |
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v)))))) |
(- 1 (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))) |
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(/ (+ (* -4 (- 1 u)) (+ (* 1/6 (/ (+ (* -128 (pow (- 1 u) 3)) (+ (* 6 (+ (* -8 (pow (- 1 u) 2)) (* -8/3 (- 1 u)))) (* 24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))))) (pow v 2))) (* 1/2 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v)))) v) |
(/ (+ (* -4 (- 1 u)) (+ (* 1/24 (/ (+ (* -1536 (pow (- 1 u) 4)) (+ (* -12 (pow (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) 2)) (+ (* 24 (+ (* 4/3 (- 1 u)) (+ (* 4 (pow (- 1 u) 2)) (* 16/3 (pow (- 1 u) 2))))) (+ (* 96 (* (+ (* -8 (pow (- 1 u) 2)) (* -8/3 (- 1 u))) (- 1 u))) (* 384 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (pow (- 1 u) 2))))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -128 (pow (- 1 u) 3)) (+ (* 6 (+ (* -8 (pow (- 1 u) 2)) (* -8/3 (- 1 u)))) (* 24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))))) (pow v 2))) (* 1/2 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v))))) v) |
(+ 1 (* -4 (/ (- 1 u) v))) |
(+ 1 (+ (* -4 (/ (- 1 u) v)) (+ (* 4 (/ (- 1 u) (pow v 2))) (* 4 (/ (pow (- 1 u) 2) (pow v 2)))))) |
(+ 1 (+ (* -8 (/ (pow (- 1 u) 2) (pow v 3))) (+ (* -4 (/ (- 1 u) v)) (+ (* -8/3 (/ (- 1 u) (pow v 3))) (+ (* 4 (/ (- 1 u) (pow v 2))) (* 4 (/ (pow (- 1 u) 2) (pow v 2)))))))) |
(+ 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)))))) |
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(+ (* -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) 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 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 (- 1 u))) |
(- (+ 1 (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) (* 2 (- 1 u))) |
(- (+ 1 (* -1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2)))) (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u)))) |
(- (+ 1 (* -1/6 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -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))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) (pow v 3)))) (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (+ (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2))) (* 2 (- 1 u))))) |
(* 2 (- 1 u)) |
(+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) |
(+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (+ (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2))) (* 2 (- 1 u)))) |
(+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (+ (* 1/6 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -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))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2))) (* 2 (- 1 u))))) |
(+ 2 (* -2 u)) |
(+ 2 (+ (* -2 u) (* -2 (/ u v)))) |
(+ 2 (+ (* -2 u) (+ (* -2 (/ u v)) (* -4/3 (/ u (pow v 2)))))) |
(+ 2 (+ (* -2 u) (+ (* -2 (/ u v)) (+ (* -4/3 (/ u (pow v 2))) (* -2/3 (/ u (pow v 3))))))) |
(exp (* 2 (- 1 u))) |
(+ (exp (* 2 (- 1 u))) (* -1/2 (/ (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) v))) |
(+ (exp (* 2 (- 1 u))) (+ (* -1/2 (/ (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) v)) (/ (* (exp (* 2 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)))) (pow v 2)))) |
(+ (exp (* 2 (- 1 u))) (+ (* -1/2 (/ (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) v)) (+ (/ (* (exp (* 2 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)))) (pow v 2)) (/ (* (exp (* 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))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))) (pow v 3))))) |
(+ 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 (* 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))))) |
(/ 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) |
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(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3))))) (* 1/48 (/ (+ (* -1536 (pow (- 1 u) 4)) (+ (* -96 (* (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) (- 1 u))) (+ (* -12 (pow (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) 2)) (+ (* 24 (+ (* 4/3 (- 1 u)) (+ (* 4 (pow (- 1 u) 2)) (* 16/3 (pow (- 1 u) 2))))) (* 384 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (pow (- 1 u) 2))))))) v))) v)) (* -1/4 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v)))) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v)) (* 4 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v)) (* 4 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -1536 (pow (- 1 u) 4)) (+ (* -96 (* (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) (- 1 u))) (+ (* -12 (pow (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) 2)) (+ (* 24 (+ (* 4/3 (- 1 u)) (+ (* 4 (pow (- 1 u) 2)) (* 16/3 (pow (- 1 u) 2))))) (* 384 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (pow (- 1 u) 2))))))) v)) (* 1/6 (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v)) (* 4 (- 1 u))) v)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) v)) (* 4 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) v)) (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2)))) v)) (* 4 (- 1 u))) v))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
(+ (* -2 (- 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))) |
(* -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)) |
(* -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)) |
(- (+ 1 (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 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))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 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))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) |
(+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) |
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v))) |
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 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))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))) v)) (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) 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)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | v | @ | 0 | ((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (neg (* u v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (/ (+ (/ 2 v) 2) v) (- (exp (/ 2 v)) 1)) |
| 9.0ms | u | @ | inf | ((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (neg (* u v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (/ (+ (/ 2 v) 2) v) (- (exp (/ 2 v)) 1)) |
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| 6.0ms | v | @ | inf | ((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (neg (* u v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (/ (+ (/ 2 v) 2) v) (- (exp (/ 2 v)) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1195 | 11429 |
| 1 | 4419 | 10251 |
| 0 | 8212 | 9388 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(+ (* -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) 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 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 (- 1 u))) |
(- (+ 1 (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) (* 2 (- 1 u))) |
(- (+ 1 (* -1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2)))) (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u)))) |
(- (+ 1 (* -1/6 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -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))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) (pow v 3)))) (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (+ (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2))) (* 2 (- 1 u))))) |
(* 2 (- 1 u)) |
(+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) |
(+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (+ (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2))) (* 2 (- 1 u)))) |
(+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (+ (* 1/6 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -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))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2))) (* 2 (- 1 u))))) |
(+ 2 (* -2 u)) |
(+ 2 (+ (* -2 u) (* -2 (/ u v)))) |
(+ 2 (+ (* -2 u) (+ (* -2 (/ u v)) (* -4/3 (/ u (pow v 2)))))) |
(+ 2 (+ (* -2 u) (+ (* -2 (/ u v)) (+ (* -4/3 (/ u (pow v 2))) (* -2/3 (/ u (pow v 3))))))) |
(exp (* 2 (- 1 u))) |
(+ (exp (* 2 (- 1 u))) (* -1/2 (/ (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) v))) |
(+ (exp (* 2 (- 1 u))) (+ (* -1/2 (/ (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) v)) (/ (* (exp (* 2 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)))) (pow v 2)))) |
(+ (exp (* 2 (- 1 u))) (+ (* -1/2 (/ (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) v)) (+ (/ (* (exp (* 2 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)))) (pow v 2)) (/ (* (exp (* 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))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))) (pow v 3))))) |
(+ 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 (* 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))))) |
(/ 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) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/4 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2)))))) (* 1/12 (/ (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3))))) (* 1/48 (/ (+ (* -1536 (pow (- 1 u) 4)) (+ (* -96 (* (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) (- 1 u))) (+ (* -12 (pow (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) 2)) (+ (* 24 (+ (* 4/3 (- 1 u)) (+ (* 4 (pow (- 1 u) 2)) (* 16/3 (pow (- 1 u) 2))))) (* 384 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (pow (- 1 u) 2))))))) v))) v)) (* -1/4 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v)))) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v)) (* 4 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v)) (* 4 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -1536 (pow (- 1 u) 4)) (+ (* -96 (* (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) (- 1 u))) (+ (* -12 (pow (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) 2)) (+ (* 24 (+ (* 4/3 (- 1 u)) (+ (* 4 (pow (- 1 u) 2)) (* 16/3 (pow (- 1 u) 2))))) (* 384 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (pow (- 1 u) 2))))))) v)) (* 1/6 (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v)) (* 4 (- 1 u))) v)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) v)) (* 4 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) v)) (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2)))) v)) (* 4 (- 1 u))) v))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
(+ (* -2 (- 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))) |
(* -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)) |
(* -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)) |
(- (+ 1 (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 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))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 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))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) |
(+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) |
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v))) |
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 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))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))) v)) (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) 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)) |
| Outputs |
|---|
(+ 1 (* 1/2 (* v (log (pow (exp (/ -2 v)) 2))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (/ (* u (* v (+ 1 (* -1 (exp (/ -2 v)))))) (exp (/ -2 v))))) |
(+.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 u (*.f32 v (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* 1/4 (* u (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(+.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) u) (*.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)) v) (*.f32 v (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u (*.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))) #s(literal 1 binary32)) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* u (+ (* 1/12 (* u (* v (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))))))) (* 1/4 (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(+.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/12 binary32) u) (*.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) #s(literal 4 binary32)) v) (*.f32 (*.f32 #s(literal 1/4 binary32) v) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)))) u (*.f32 v (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u (*.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))) #s(literal 1 binary32)) |
(log (pow (exp (/ -2 v)) 2)) |
(log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* 2 (/ (* u (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 #s(literal 2 binary32) u) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 1/2 (* u (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))) (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) u (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))) (* u (+ (* 1/6 (* u (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)) #s(literal 1/2 binary32))) u (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) u (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) |
(pow (exp (/ -2 v)) 2) |
(exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) |
(+ (* 2 (* u (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))))) (pow (exp (/ -2 v)) 2)) |
(fma.f32 (*.f32 #s(literal 2 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) |
(+ (* u (+ (* 2 (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow (exp (/ -2 v)) 2)) |
(fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) u (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) |
-1 |
#s(literal -1 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
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(- (* 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) |
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-2 |
#s(literal -2 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
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(- (* 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) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 u (*.f32 v (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) #s(literal 1/3 binary32) (*.f32 (*.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) |
(-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v)) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(-.f32 (*.f32 (fma.f32 (*.f32 u (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u) (/.f32 #s(literal 2 binary32) v)) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 u (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))) u (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u) (/.f32 #s(literal 2 binary32) v)) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
(-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v)) |
(- (* u (- (* -1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))) (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1) |
(-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u) (fma.f32 (neg.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 v v) (*.f32 (fma.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v) (*.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))) #s(literal 1 binary32))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(- (* u (- (* u (- (* -1/6 (* u (+ (* -2 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (+ (* 6 (* v (* (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3)))))))))) (* 1/2 (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))) (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) u) (fma.f32 #s(literal 6 binary32) (fma.f32 (*.f32 v (*.f32 #s(literal 1/2 binary32) (fma.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (fma.f32 (*.f32 (*.f32 v v) (/.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (fma.f32 (*.f32 v (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))))) (*.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)) #s(literal -2 binary32))) (*.f32 #s(literal -1/2 binary32) (fma.f32 (neg.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 v v) (*.f32 (fma.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v) (*.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))) #s(literal 1 binary32))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (* u (* v (- (/ 1 (exp (/ -2 v))) 1))))) |
(-.f32 #s(literal 2 binary32) (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) |
(+ 2 (* u (+ (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* 1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) (fma.f32 (neg.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 v v) (*.f32 (fma.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v) (*.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))) #s(literal 1 binary32))) (*.f32 (neg.f32 v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u #s(literal 2 binary32)) |
(+ 2 (* u (+ (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* u (+ (* 1/6 (* u (+ (* -2 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (+ (* 6 (* v (* (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3)))))))))) (* 1/2 (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 #s(literal 6 binary32) (fma.f32 (*.f32 v (*.f32 #s(literal 1/2 binary32) (fma.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (fma.f32 (*.f32 (*.f32 v v) (/.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (fma.f32 (*.f32 v (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))))) (*.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)) #s(literal -2 binary32))) (*.f32 (fma.f32 (neg.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 v v) (*.f32 (fma.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v) (*.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))) #s(literal 1 binary32))) #s(literal 1/2 binary32))) u (*.f32 (neg.f32 v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u #s(literal 2 binary32)) |
(+ 2 (* -1 (* u (* v (- (exp (/ 2 v)) 1))))) |
(-.f32 #s(literal 2 binary32) (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) |
(* -1 (* u v)) |
(*.f32 (neg.f32 v) u) |
(exp 2) |
(exp.f32 #s(literal 2 binary32)) |
(+ (exp 2) (* -1 (* u (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))))) |
(-.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (*.f32 u v) (*.f32 (exp.f32 #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))) |
(+ (exp 2) (* u (+ (* -1 (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))) (* u (* (exp 2) (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))) |
(fma.f32 (fma.f32 (*.f32 u (exp.f32 #s(literal 2 binary32))) (*.f32 #s(literal 1/2 binary32) (fma.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))) (*.f32 (neg.f32 v) (*.f32 (exp.f32 #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))) u (exp.f32 #s(literal 2 binary32))) |
(+ (exp 2) (* u (+ (* -1 (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))) (* u (+ (* u (* (exp 2) (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))))))) (* (exp 2) (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 u (exp.f32 #s(literal 2 binary32))) (fma.f32 (*.f32 (*.f32 v v) (/.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (fma.f32 (*.f32 v (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)) #s(literal -1/6 binary32)))) (*.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (fma.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))))) u (*.f32 (neg.f32 v) (*.f32 (exp.f32 #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))) u (exp.f32 #s(literal 2 binary32))) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
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(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 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))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -3 binary32) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal 1/6 binary32))) (fma.f32 (fma.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/48 binary32) (fma.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32))))) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) #s(literal 1/24 binary32)))) #s(literal 6 binary32) (*.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/4 binary32)))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal 1/6 binary32))) #s(literal 2 binary32) (*.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) #s(literal -1/4 binary32))))) (neg.f32 v)) (*.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/2 binary32))) v)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u))) |
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal 1/6 binary32))) #s(literal 2 binary32) (*.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) #s(literal -1/4 binary32))) v) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))))) (neg.f32 v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 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))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 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))) |
(fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -3 binary32) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal 1/6 binary32))) (fma.f32 (fma.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/48 binary32) (fma.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32))))) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) #s(literal 1/24 binary32)))) #s(literal 6 binary32) (*.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/4 binary32)))) v) #s(literal -1/6 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal 1/6 binary32))) #s(literal 2 binary32) (*.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 v))) |
(+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) |
(+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) |
(+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) |
(+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32)) |
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v))) |
(-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal 1/6 binary32))) v) (*.f32 (*.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/2 binary32))) v)) |
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 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))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))) v)) (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v))) |
(-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/48 binary32) (fma.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32))))) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) #s(literal 1/24 binary32)))) v) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal 1/6 binary32))) (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 v))) v)) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 #s(literal 1 binary32) u))) v)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u))) (neg.f32 v))) 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)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) |
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v)) |
(/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 341 |
| 0 | 86 | 338 |
| 1 | 303 | 334 |
| 2 | 2143 | 334 |
| 0 | 8830 | 331 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.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 v #s(literal 2 binary32)) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))) |
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))) |
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
#s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) |
(fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) |
(neg.f32 (*.f32 u v)) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))) |
(log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))) |
(pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)) |
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) |
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
| Outputs |
|---|
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) #s(literal 1 binary32))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) |
(/.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))))) |
(-.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v)) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)))) (/.f32 v #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (neg.f32 v)))) |
(fma.f32 (*.f32 (/.f32 v #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 v #s(literal 2 binary32))) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (*.f32 v #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) (*.f32 (/.f32 v #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) (/.f32 v #s(literal 2 binary32)) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) |
(fma.f32 (/.f32 v #s(literal 2 binary32)) (*.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(fma.f32 #s(literal 2 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (/.f32 v #s(literal 2 binary32))) #s(literal 1 binary32)) |
(fma.f32 v (/.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)) |
(fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
(+.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))))) |
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#s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) |
(/.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal 2 binary32) v) v))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)))) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) (/.f32 #s(literal 2 binary32) v)))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) #s(literal -2 binary32)))) (neg.f32 (neg.f32 (neg.f32 v)))) |
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) (neg.f32 v) (*.f32 v #s(literal -2 binary32)))) (neg.f32 (*.f32 v (neg.f32 v)))) |
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) v (*.f32 v #s(literal 2 binary32)))) (neg.f32 (*.f32 v v))) |
(/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) (neg.f32 (neg.f32 v)) (*.f32 v #s(literal 2 binary32))) (*.f32 v (neg.f32 (neg.f32 v)))) |
(/.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (neg.f32 v) (*.f32 (neg.f32 v) #s(literal -2 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (neg.f32 (neg.f32 v)) (*.f32 (neg.f32 v) #s(literal 2 binary32))) (*.f32 (neg.f32 v) (neg.f32 (neg.f32 v)))) |
(/.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) v (*.f32 (neg.f32 v) #s(literal 2 binary32))) (*.f32 (neg.f32 v) v)) |
(/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 v) (*.f32 (*.f32 (neg.f32 v) v) #s(literal -2 binary32))) (*.f32 (*.f32 (neg.f32 v) v) (neg.f32 v))) |
(/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 (neg.f32 v)) (*.f32 (*.f32 (neg.f32 v) v) #s(literal 2 binary32))) (*.f32 (*.f32 (neg.f32 v) v) (neg.f32 (neg.f32 v)))) |
(/.f32 (fma.f32 #s(literal -2 binary32) v (*.f32 (*.f32 (neg.f32 v) v) #s(literal 2 binary32))) (*.f32 (*.f32 (neg.f32 v) v) v)) |
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 v) (*.f32 (*.f32 v v) #s(literal -2 binary32))) (pow.f32 (neg.f32 v) #s(literal 3 binary32))) |
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 v)) (*.f32 (*.f32 v v) #s(literal 2 binary32))) (*.f32 (*.f32 v v) (neg.f32 (neg.f32 v)))) |
(/.f32 (fma.f32 #s(literal 2 binary32) v (*.f32 (*.f32 v v) #s(literal 2 binary32))) (pow.f32 v #s(literal 3 binary32))) |
(/.f32 (fma.f32 #s(literal -2 binary32) v (*.f32 (neg.f32 v) (/.f32 #s(literal 2 binary32) v))) (*.f32 (neg.f32 v) v)) |
(/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 v) (*.f32 (neg.f32 v) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v)) |
(/.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (neg.f32 v) v) (*.f32 (neg.f32 v) #s(literal -2 binary32))) (*.f32 (neg.f32 v) (*.f32 (neg.f32 v) v))) |
(/.f32 (fma.f32 #s(literal -2 binary32) (*.f32 v v) (*.f32 (neg.f32 v) #s(literal 2 binary32))) (pow.f32 (neg.f32 v) #s(literal 3 binary32))) |
(/.f32 (fma.f32 #s(literal 2 binary32) v (*.f32 (neg.f32 (neg.f32 v)) (/.f32 #s(literal 2 binary32) v))) (*.f32 (neg.f32 (neg.f32 v)) v)) |
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 v) (*.f32 (neg.f32 (neg.f32 v)) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 (neg.f32 v)) (neg.f32 v))) |
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (neg.f32 v) v) (*.f32 (neg.f32 (neg.f32 v)) #s(literal -2 binary32))) (*.f32 (neg.f32 (neg.f32 v)) (*.f32 (neg.f32 v) v))) |
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 v v) (*.f32 (neg.f32 (neg.f32 v)) #s(literal 2 binary32))) (*.f32 (neg.f32 (neg.f32 v)) (*.f32 v v))) |
(/.f32 (fma.f32 #s(literal 2 binary32) v (*.f32 v (/.f32 #s(literal 2 binary32) v))) (*.f32 v v)) |
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 v) (*.f32 v (/.f32 #s(literal -2 binary32) v))) (*.f32 v (neg.f32 v))) |
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (neg.f32 v) v) (*.f32 v #s(literal -2 binary32))) (*.f32 v (*.f32 (neg.f32 v) v))) |
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 v v) (*.f32 v #s(literal 2 binary32))) (pow.f32 v #s(literal 3 binary32))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) |
(/.f32 (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) (/.f32 #s(literal 2 binary32) v))))) |
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) #s(literal -2 binary32))) (neg.f32 (neg.f32 v))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))) |
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) (neg.f32 (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v)) v))) |
(/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) (neg.f32 v) (*.f32 v #s(literal -2 binary32))) (*.f32 v (neg.f32 v))) |
(/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) v (*.f32 v #s(literal 2 binary32))) (*.f32 v v)) |
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) |
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v)) v)) |
(/.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) #s(literal -2 binary32)) (neg.f32 v)) |
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v) |
(-.f32 (/.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) (/.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))) |
(-.f32 (/.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) (/.f32 #s(literal 4 binary32) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))) |
(-.f32 (/.f32 (/.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) v) (/.f32 (/.f32 #s(literal 4 binary32) (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) v)) |
(+.f32 (/.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 3 binary32)) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) (/.f32 #s(literal 2 binary32) v))))) (/.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) (/.f32 #s(literal 2 binary32) v)))))) |
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) (neg.f32 v)) (*.f32 v (neg.f32 v))) (/.f32 (*.f32 v #s(literal -2 binary32)) (*.f32 v (neg.f32 v)))) |
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) v) (*.f32 v v)) (/.f32 (*.f32 v #s(literal 2 binary32)) (*.f32 v v))) |
(+.f32 (/.f32 #s(literal 8 binary32) (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v)) v)) (/.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v)) v))) |
(+.f32 (/.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v)) v)) (/.f32 #s(literal 8 binary32) (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v)) v))) |
(+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v))) v) (/.f32 (/.f32 #s(literal 8 binary32) (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v))) v)) |
(+.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) (/.f32 #s(literal 2 binary32) v)) |
(+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal 2 binary32) v) v)) |
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) #s(literal -2 binary32)) v)) |
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (neg.f32 v))) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (/.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -4 binary32) v)))) (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (-.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) |
(/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -4 binary32) v))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))) (neg.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) |
(/.f32 (expm1.f32 (/.f32 #s(literal -4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) |
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) |
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) |
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) |
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) |
(+.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) |
Compiled 38 290 to 3 394 computations (91.1% saved)
35 alts after pruning (29 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 648 | 7 | 655 |
| Fresh | 8 | 22 | 30 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 658 | 35 | 693 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) |
| 99.6% | (fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 #s(approx (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (neg.f32 u))) u) #s(literal -1 binary32) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 u u)))) #s(literal 1 binary32)) | |
| ▶ | 99.6% | (fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
| ✓ | 99.7% | (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)) |
| 95.2% | (fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) | |
| 99.7% | (fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.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)) | |
| 9.6% | (fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) | |
| 99.3% | (fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) | |
| 99.3% | (/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) | |
| 99.2% | (/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) | |
| ✓ | 94.7% | (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))) |
| ✓ | 9.6% | (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
| 13.6% | (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) | |
| 7.6% | (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))))) | |
| 11.4% | (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) | |
| 10.8% | (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32))))) | |
| 99.5% | (+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) | |
| 4.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (fma.f32 (neg.f32 u) u (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (log.f32 (+.f32 (neg.f32 u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))))) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))))) | |
| ✓ | 9.6% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
| ▶ | 10.7% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
| 11.2% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) | |
| 9.5% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u))))) | |
| 99.5% | (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32)))) (fma.f32 (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)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))) | |
| 9.6% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) | |
| ✓ | 87.9% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
| 4.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| 9.9% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v) #s(literal -1 binary32) #s(literal 4 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| 9.9% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| ▶ | 4.5% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))) |
| 9.9% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) | |
| 10.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) | |
| ▶ | 7.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
| ✓ | 5.5% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 2 519 to 1 659 computations (34.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) | |
| cost-diff | 0 | (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) | |
| cost-diff | 0 | (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)) | |
| cost-diff | 0 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))) | |
| cost-diff | 0 | (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u) | |
| cost-diff | 0 | (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) | |
| cost-diff | 0 | (fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) | |
| cost-diff | 2 | (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) | |
| cost-diff | 0 | (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))) | |
| cost-diff | 1 | (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) | |
| cost-diff | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) | |
| cost-diff | 2 | (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) | |
| cost-diff | 0 | (*.f32 #s(literal 2 binary32) u) | |
| cost-diff | 0 | #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) | |
| cost-diff | 0 | (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)) | |
| cost-diff | 0 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) | |
| cost-diff | 0 | (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) | |
| cost-diff | 0 | (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) | |
| cost-diff | 0 | (/.f32 v #s(literal 2 binary32)) | |
| cost-diff | 0 | (fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 844 |
| 0 | 134 | 824 |
| 1 | 241 | 802 |
| 2 | 582 | 802 |
| 3 | 1953 | 802 |
| 4 | 7488 | 794 |
| 0 | 8110 | 793 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) |
(/.f32 v #s(literal 2 binary32)) |
v |
#s(literal 2 binary32) |
(log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) |
(*.f32 u u) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
(exp.f32 (/.f32 #s(literal -4 binary32) v)) |
(/.f32 #s(literal -4 binary32) v) |
#s(literal -4 binary32) |
(-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
(-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)) |
#s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) |
(*.f32 #s(literal 2 binary32) u) |
#s(literal 2 binary32) |
u |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
#s(literal 1 binary32) |
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))) |
v |
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) |
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)) |
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) |
(/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)) |
(-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) |
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) |
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) |
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) |
#s(literal 2 binary32) |
(/.f32 #s(literal 2/3 binary32) (*.f32 v v)) |
#s(literal 2/3 binary32) |
(*.f32 v v) |
(/.f32 #s(literal 4/3 binary32) v) |
#s(literal 4/3 binary32) |
(neg.f32 v) |
u |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) |
#s(literal 1 binary32) |
(exp.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
v |
(-.f32 #s(literal 1 binary32) u) |
u |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)) |
(*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) |
(*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) |
v |
(fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) |
(pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) |
(expm1.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
#s(literal 2 binary32) |
(exp.f32 (/.f32 #s(literal -4 binary32) v)) |
(/.f32 #s(literal -4 binary32) v) |
#s(literal -4 binary32) |
(*.f32 #s(literal -1/2 binary32) u) |
#s(literal -1/2 binary32) |
u |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 1 binary32) |
| Outputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (/.f32 (*.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (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 v #s(literal 2 binary32)) #s(literal 1 binary32)) |
(/.f32 v #s(literal 2 binary32)) |
v |
#s(literal 2 binary32) |
(log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(log.f32 (/.f32 (*.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (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 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(/.f32 (*.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (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 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) |
(*.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) |
(-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) |
(*.f32 u u) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) |
(*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
(exp.f32 (/.f32 #s(literal -4 binary32) v)) |
(/.f32 #s(literal -4 binary32) v) |
#s(literal -4 binary32) |
(-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(-.f32 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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 u #s(literal 2 binary32))) #s(literal 1 binary32))) |
(-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)) |
(-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 u #s(literal 2 binary32))) #s(literal 1 binary32)) |
#s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) |
#s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 u #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) u) |
(*.f32 u #s(literal 2 binary32)) |
#s(literal 2 binary32) |
u |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v) |
v |
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) |
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) |
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)) |
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)) |
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) |
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) |
(/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)) |
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) |
(-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) |
(-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) #s(literal 2 binary32)) |
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) |
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) |
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) |
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) |
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) |
(+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 #s(literal 2/3 binary32) (*.f32 v v)) |
#s(literal 2/3 binary32) |
(*.f32 v v) |
(/.f32 #s(literal 4/3 binary32) v) |
#s(literal 4/3 binary32) |
(neg.f32 v) |
u |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (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)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
#s(literal 1 binary32) |
(exp.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
v |
(-.f32 #s(literal 1 binary32) u) |
u |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 1 binary32))) |
(-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)) |
(-.f32 (*.f32 (*.f32 u v) (fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 1 binary32)) |
(*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) |
(*.f32 (*.f32 u v) (fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) |
(*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) |
(*.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) v) |
v |
(fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) |
(pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) |
(expm1.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
#s(literal 2 binary32) |
(exp.f32 (/.f32 #s(literal -4 binary32) v)) |
(/.f32 #s(literal -4 binary32) v) |
#s(literal -4 binary32) |
(*.f32 #s(literal -1/2 binary32) u) |
#s(literal -1/2 binary32) |
u |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 1 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09650848522316578 | (expm1.f32 (/.f32 #s(literal 2 binary32) v)) | |
| accuracy | 0.13967517734132437 | (exp.f32 (/.f32 #s(literal -4 binary32) v)) | |
| accuracy | 5.163384582811734 | (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) | |
| accuracy | 6.491177586753774 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))) | |
| accuracy | 0.0390625 | (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) | |
| accuracy | 0.040983801157537796 | (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) | |
| accuracy | 0.041347509768442016 | (fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) | |
| accuracy | 0.0926022352231658 | (exp.f32 (/.f32 #s(literal 2 binary32) v)) | |
| accuracy | 0.0859375 | (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))) | |
| accuracy | 0.08822250976844201 | (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) | |
| accuracy | 6.295639734963601 | #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) | |
| accuracy | 6.626476729291923 | #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) | |
| accuracy | 0.0 | (*.f32 #s(literal 2 binary32) u) | |
| accuracy | 0.0078125 | (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)) | |
| accuracy | 6.491177586753774 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) | |
| accuracy | 7.399030363183099 | #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) | |
| accuracy | 0.0703125 | (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) | |
| accuracy | 0.09761545026701576 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 0.13967517734132437 | (exp.f32 (/.f32 #s(literal -4 binary32) v)) | |
| accuracy | 0.14453125 | (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
| 104.0ms | 192× | 0 | exit |
| 31.0ms | 64× | 0 | valid |
Compiled 700 to 70 computations (90% saved)
ival-div: 30.0ms (27% of total)ival-mult: 28.0ms (25.2% of total)ival-add: 16.0ms (14.4% of total)ival-log: 8.0ms (7.2% of total)ival-sub: 7.0ms (6.3% of total)ival-exp: 6.0ms (5.4% of total)const: 6.0ms (5.4% of total)ival-pow2: 5.0ms (4.5% of total)ival-expm1: 4.0ms (3.6% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) |
(/.f32 v #s(literal 2 binary32)) |
(log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
(-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)) |
#s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) |
(*.f32 #s(literal 2 binary32) u) |
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) |
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)) |
(*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) |
(*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
(exp.f32 (/.f32 #s(literal -4 binary32) v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) |
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) |
(/.f32 #s(literal 2/3 binary32) (*.f32 v v)) |
(exp.f32 (/.f32 #s(literal 2 binary32) v)) |
(fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
| Outputs |
|---|
-1 |
(- (* 1/2 (* u (* v (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))))))) 1) |
(- (* u (+ (* 1/4 (* u (* v (+ (* -1 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 2) (pow (exp (/ -4 v)) 2))) (* 2 (/ (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v)))))))) (* 1/2 (* v (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))))) 1) |
(- (* u (+ (* 1/2 (* v (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))) (* u (+ (* 1/12 (* u (* v (+ (* -6 (/ (* (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v)))))) (pow (exp (/ -4 v)) 2))) (+ (* 2 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 3) (pow (exp (/ -4 v)) 3))) (* 6 (/ (- (* -1 (/ (* (+ 1 (* -1 (exp (/ -2 v)))) (- 1 (exp (/ -4 v)))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v))))))))) (* 1/4 (* v (+ (* -1 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 2) (pow (exp (/ -4 v)) 2))) (* 2 (/ (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v))))))))))) 1) |
(/ -4 v) |
(- (* u (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))))) (* 4 (/ 1 v))) |
(- (* u (- (+ (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* 1/2 (* u (+ (* -1 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 2) (pow (exp (/ -4 v)) 2))) (* 2 (/ (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v)))))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))))) (* 4 (/ 1 v))) |
(- (* u (- (+ (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* u (+ (* 1/6 (* u (+ (* -6 (/ (* (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v)))))) (pow (exp (/ -4 v)) 2))) (+ (* 2 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 3) (pow (exp (/ -4 v)) 3))) (* 6 (/ (- (* -1 (/ (* (+ 1 (* -1 (exp (/ -2 v)))) (- 1 (exp (/ -4 v)))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v)))))))) (* 1/2 (+ (* -1 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 2) (pow (exp (/ -4 v)) 2))) (* 2 (/ (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v))))))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))))) (* 4 (/ 1 v))) |
(exp (/ -4 v)) |
(+ (exp (/ -4 v)) (* u (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
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(+ (log (/ (- (pow u 2) (pow (- 1 u) 2)) (- (* 2 u) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (pow (- (* 2 u) 1) 2) (* (- (+ (* -8 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -8 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1))))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) (- (* 2 u) 1))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))))) (pow (- (pow u 2) (pow (- 1 u) 2)) 2))) (+ (* 2 (/ (* (pow (- (* 2 u) 1) 3) (pow (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))) 3)) (pow (- (pow u 2) (pow (- 1 u) 2)) 3))) (* 6 (/ (* (- (* 2 u) 1) (- (+ (* -16 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (+ (* -32/3 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -8 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (* 4/3 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -8 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -8 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1))))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) (- (* 2 u) 1))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))))) (- (* 2 u) 1))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) (- (* 2 u) 1))) (* -4/3 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))))) (- (pow u 2) (pow (- 1 u) 2)))))) v)) (* 1/2 (+ (* -1 (/ (* (pow (- (* 2 u) 1) 2) (pow (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))) 2)) (pow (- (pow u 2) (pow (- 1 u) 2)) 2))) (* 2 (/ (* (- (* 2 u) 1) (- (+ (* -8 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -8 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1))))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) (- (* 2 u) 1))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))))) (- (pow u 2) (pow (- 1 u) 2))))))) v)) (/ (* (- (* 2 u) 1) (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) (- (pow u 2) (pow (- 1 u) 2)))) v))) |
(- (+ (* -1 (/ (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))) v)) (/ (pow u 2) (- (* 2 u) 1))) (/ (pow (- 1 u) 2) (- (* 2 u) 1))) |
(- (+ (* -1 (/ (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -1 (/ (- (+ (* -8 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -8 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1))))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) (- (* 2 u) 1))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) v)) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1))))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))) v)) (/ (pow u 2) (- (* 2 u) 1))) (/ (pow (- 1 u) 2) (- (* 2 u) 1))) |
(- (+ (* -1 (/ (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -1 (/ (- (+ (* -8 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -8 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (+ (* -1 (/ (- (+ (* -16 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (+ (* -32/3 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -8 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (* 4/3 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -8 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -8 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1))))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) (- (* 2 u) 1))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))))) (- (* 2 u) 1))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) (- (* 2 u) 1))) (* -4/3 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))))) v)) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) (- (* 2 u) 1))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) v)) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1))))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))) v)) (/ (pow u 2) (- (* 2 u) 1))) (/ (pow (- 1 u) 2) (- (* 2 u) 1))) |
(+ 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 (- (* 2 u) 2)) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3)) v)) (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1) |
(+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3)) v)) (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) |
(* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) 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))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(+ 1 (* -1 (+ 2 (* -2 u)))) |
(+ 1 (+ (* -1 (+ 2 (* -2 u))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))) v)))) |
(+ 1 (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u)))))) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (+ 2 (+ (* -4 u) (* 2 u))))) (+ (* 2 (pow (+ 2 (* -2 u)) 3)) (* 6 (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u))))))) v))) v)))) |
(+ 1 (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (* (+ 2 (* -2 u)) (+ 2 (+ (* -4 u) (* 2 u))))) (+ (* 2 (pow (+ 2 (* -2 u)) 3)) (* 6 (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u)))))))) (* 1/24 (/ (+ (* -24 (* (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u)))) (+ 2 (* -2 u)))) (+ (* -12 (pow (+ 2 (+ (* -4 u) (* 2 u))) 2)) (+ (* -6 (pow (+ 2 (* -2 u)) 4)) (+ (* 24 (* (pow (+ 2 (* -2 u)) 2) (+ 2 (+ (* -4 u) (* 2 u))))) (* 24 (+ 2/3 (+ (* -8/3 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (+ (* 2/3 u) (* 2 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u))))))))))))) v))) v)) (* -1/2 (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))))) v)))) |
(* -1 (/ (+ 2 (* -2 u)) v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))) v)))) v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (+ 2 (+ (* -4 u) (* 2 u))))) (+ (* 2 (pow (+ 2 (* -2 u)) 3)) (* 6 (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u))))))) v)) (* 1/2 (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))))) v)))) v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (* (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u)))) (+ 2 (* -2 u)))) (+ (* -12 (pow (+ 2 (+ (* -4 u) (* 2 u))) 2)) (+ (* -6 (pow (+ 2 (* -2 u)) 4)) (+ (* 24 (* (pow (+ 2 (* -2 u)) 2) (+ 2 (+ (* -4 u) (* 2 u))))) (* 24 (+ 2/3 (+ (* -8/3 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (+ (* 2/3 u) (* 2 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u))))))))))))) v)) (* 1/6 (+ (* -6 (* (+ 2 (* -2 u)) (+ 2 (+ (* -4 u) (* 2 u))))) (+ (* 2 (pow (+ 2 (* -2 u)) 3)) (* 6 (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u))))))))) v)) (* 1/2 (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))))) v)))) v)) |
(+ 1 (* -1 (/ (+ 2 (* -2 u)) v))) |
(+ 1 (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (+ (* -4 u) (* 2 u))) v)))) v))) |
(+ 1 (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (+ (* -4 u) (+ (* -1 (/ (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u)))) v)) (* 2 u)))) v)))) v))) |
(- (+ (* -1 (/ (+ (* -1 (* u (+ 2 (* -2 u)))) (/ (* u (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3)) v)) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1 (* u (+ 2 (* -2 u)))) (* -1 (/ (+ (* -1 (* u (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3))) (/ (* u (+ 2/3 (* -1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))))) v)) v))) v)) (* 2 u)) 1) |
(+ (* -1 (/ (+ (* -1 (* u (+ 2 (* -2 u)))) (/ (* u (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3)) v)) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -1 (* u (+ 2 (* -2 u)))) (* -1 (/ (+ (* -1 (* u (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3))) (/ (* u (+ 2/3 (* -1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))))) v)) v))) v)) (* 2 u)) |
(+ 2 (* -1 (/ (- (+ (* -1 (+ 2 (* -2 u))) (* -1/2 (/ (- (* 8 u) (* 16 u)) v))) (* 4/3 (/ 1 v))) v))) |
(+ 2 (* -1 (/ (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -1 (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3)) (+ (* -1/2 (/ (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u))) v)) (* 2/3 (/ 1 v)))) v))) v))) |
(+ 1 (* -1 (/ (- 4 (* 8 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) 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)) |
(* -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)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* -2 u)) v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3) v)))) v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (- (+ (* -1 (/ (+ 2/3 (* -1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u))))) v)) (* -1/2 (- (* 8 u) (* 16 u)))) 4/3) v)))) v)) 2) v)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
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| 28.0ms | u | @ | 0 | ((+ (* (/ v 2) (log (/ (* (+ (* (- 1 u) (exp (/ -2 v))) u) (- (* u u) (* (pow (- 1 u) 2) (exp (/ -4 v))))) (- u (* (- 1 u) (exp (/ -2 v))))))) 1) (/ v 2) (log (/ (* (+ (* (- 1 u) (exp (/ -2 v))) u) (- (* u u) (* (pow (- 1 u) 2) (exp (/ -4 v))))) (- u (* (- 1 u) (exp (/ -2 v)))))) (/ (* (+ (* (- 1 u) (exp (/ -2 v))) u) (- (* u u) (* (pow (- 1 u) 2) (exp (/ -4 v))))) (- u (* (- 1 u) (exp (/ -2 v))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (* 2 u) (+ (+ 2 (/ 2/3 (* v v))) (/ 4/3 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (/ (+ (+ 2 (/ 2/3 (* v v))) (/ 4/3 v)) (neg v)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/ 1 (exp (/ 2 v))) (+ (* (log (+ (* (/ 1 (exp (/ 2 v))) (- 1 u)) u)) v) 1) (log (+ (* (/ 1 (exp (/ 2 v))) (- 1 u)) u)) (+ (* (/ 1 (exp (/ 2 v))) (- 1 u)) u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (* v (+ (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) (* -1/2 u)) (- (exp (/ 2 v)) 1))) u) 1) (* (* v (+ (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) (* -1/2 u)) (- (exp (/ 2 v)) 1))) u) (* v (+ (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) (* -1/2 u)) (- (exp (/ 2 v)) 1))) (pow (- 1 u) 2) (exp (/ -4 v)) (exp (/ -2 v)) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (- (exp (/ 2 v)) 1) (/ 2/3 (* v v)) (exp (/ 2 v)) (+ (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) (* -1/2 u)) (- (exp (/ 2 v)) 1)) (- (exp (/ 2 v)) 1)) |
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| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1599 | 23883 |
| 1 | 5712 | 22404 |
| 0 | 8259 | 21146 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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2 |
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(- (+ (* -1 (/ (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))) v)) (/ (pow u 2) (- (* 2 u) 1))) (/ (pow (- 1 u) 2) (- (* 2 u) 1))) |
(- (+ (* -1 (/ (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -1 (/ (- (+ (* -8 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -8 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1))))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) (- (* 2 u) 1))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) v)) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1))))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))) v)) (/ (pow u 2) (- (* 2 u) 1))) (/ (pow (- 1 u) 2) (- (* 2 u) 1))) |
(- (+ (* -1 (/ (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -1 (/ (- (+ (* -8 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -8 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (+ (* -1 (/ (- (+ (* -16 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (+ (* -32/3 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -8 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (* 4/3 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -8 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (+ (* -8 (/ (pow (- 1 u) 3) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1))))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) (- (* 2 u) 1))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))))) (- (* 2 u) 1))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) (- (* 2 u) 1))) (* -4/3 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))))) v)) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))))) (+ (* -2 (/ (* (- 1 u) (- (+ (* -4 (/ (pow (- 1 u) 2) (- (* 2 u) 1))) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1)))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) (- (* 2 u) 1))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2))))) v)) (* 2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (- (* 2 u) 1))))) (* -2 (/ (* (- 1 u) (- (pow u 2) (pow (- 1 u) 2))) (pow (- (* 2 u) 1) 2)))) v)) (/ (pow u 2) (- (* 2 u) 1))) (/ (pow (- 1 u) 2) (- (* 2 u) 1))) |
(+ 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)))) |
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(- (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3)) v)) (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1) |
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3)) v)) (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) |
(* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) 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))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(+ 1 (* -1 (+ 2 (* -2 u)))) |
(+ 1 (+ (* -1 (+ 2 (* -2 u))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))) v)))) |
(+ 1 (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u)))))) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (+ 2 (+ (* -4 u) (* 2 u))))) (+ (* 2 (pow (+ 2 (* -2 u)) 3)) (* 6 (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u))))))) v))) v)))) |
(+ 1 (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (* (+ 2 (* -2 u)) (+ 2 (+ (* -4 u) (* 2 u))))) (+ (* 2 (pow (+ 2 (* -2 u)) 3)) (* 6 (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u)))))))) (* 1/24 (/ (+ (* -24 (* (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u)))) (+ 2 (* -2 u)))) (+ (* -12 (pow (+ 2 (+ (* -4 u) (* 2 u))) 2)) (+ (* -6 (pow (+ 2 (* -2 u)) 4)) (+ (* 24 (* (pow (+ 2 (* -2 u)) 2) (+ 2 (+ (* -4 u) (* 2 u))))) (* 24 (+ 2/3 (+ (* -8/3 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (+ (* 2/3 u) (* 2 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u))))))))))))) v))) v)) (* -1/2 (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))))) v)))) |
(* -1 (/ (+ 2 (* -2 u)) v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))) v)))) v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (+ 2 (+ (* -4 u) (* 2 u))))) (+ (* 2 (pow (+ 2 (* -2 u)) 3)) (* 6 (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u))))))) v)) (* 1/2 (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))))) v)))) v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (* (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u)))) (+ 2 (* -2 u)))) (+ (* -12 (pow (+ 2 (+ (* -4 u) (* 2 u))) 2)) (+ (* -6 (pow (+ 2 (* -2 u)) 4)) (+ (* 24 (* (pow (+ 2 (* -2 u)) 2) (+ 2 (+ (* -4 u) (* 2 u))))) (* 24 (+ 2/3 (+ (* -8/3 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (+ (* 2/3 u) (* 2 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u))))))))))))) v)) (* 1/6 (+ (* -6 (* (+ 2 (* -2 u)) (+ 2 (+ (* -4 u) (* 2 u))))) (+ (* 2 (pow (+ 2 (* -2 u)) 3)) (* 6 (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u))))))))) v)) (* 1/2 (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))))) v)))) v)) |
(+ 1 (* -1 (/ (+ 2 (* -2 u)) v))) |
(+ 1 (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (+ (* -4 u) (* 2 u))) v)))) v))) |
(+ 1 (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (+ (* -4 u) (+ (* -1 (/ (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u)))) v)) (* 2 u)))) v)))) v))) |
(- (+ (* -1 (/ (+ (* -1 (* u (+ 2 (* -2 u)))) (/ (* u (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3)) v)) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1 (* u (+ 2 (* -2 u)))) (* -1 (/ (+ (* -1 (* u (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3))) (/ (* u (+ 2/3 (* -1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))))) v)) v))) v)) (* 2 u)) 1) |
(+ (* -1 (/ (+ (* -1 (* u (+ 2 (* -2 u)))) (/ (* u (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3)) v)) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -1 (* u (+ 2 (* -2 u)))) (* -1 (/ (+ (* -1 (* u (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3))) (/ (* u (+ 2/3 (* -1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))))) v)) v))) v)) (* 2 u)) |
(+ 2 (* -1 (/ (- (+ (* -1 (+ 2 (* -2 u))) (* -1/2 (/ (- (* 8 u) (* 16 u)) v))) (* 4/3 (/ 1 v))) v))) |
(+ 2 (* -1 (/ (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -1 (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3)) (+ (* -1/2 (/ (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u))) v)) (* 2/3 (/ 1 v)))) v))) v))) |
(+ 1 (* -1 (/ (- 4 (* 8 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) 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)) |
(* -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)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* -2 u)) v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3) v)))) v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (- (+ (* -1 (/ (+ 2/3 (* -1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u))))) v)) (* -1/2 (- (* 8 u) (* 16 u)))) 4/3) v)))) v)) 2) v)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary32) |
(- (* 1/2 (* u (* v (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))))))) 1) |
(-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u) (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -6 binary32) v))) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v)) #s(literal 1 binary32)) |
(- (* u (+ (* 1/4 (* u (* v (+ (* -1 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 2) (pow (exp (/ -4 v)) 2))) (* 2 (/ (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v)))))))) (* 1/2 (* v (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))))) 1) |
(-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) u) (*.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 2 binary32) (neg.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -4 binary32) v) #s(literal 2 binary32)))))) v) (*.f32 (*.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -6 binary32) v))) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) u) #s(literal 1 binary32)) |
(- (* u (+ (* 1/2 (* v (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))) (* u (+ (* 1/12 (* u (* v (+ (* -6 (/ (* (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v)))))) (pow (exp (/ -4 v)) 2))) (+ (* 2 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 3) (pow (exp (/ -4 v)) 3))) (* 6 (/ (- (* -1 (/ (* (+ 1 (* -1 (exp (/ -2 v)))) (- 1 (exp (/ -4 v)))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v))))))))) (* 1/4 (* v (+ (* -1 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 2) (pow (exp (/ -4 v)) 2))) (* 2 (/ (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v))))))))))) 1) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/12 binary32) u) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (*.f32 (/.f32 #s(literal -4 binary32) v) #s(literal 2 binary32))))) #s(literal -6 binary32) (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 6 binary32) (*.f32 (pow.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 3 binary32)) 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(/ -4 v) |
(/.f32 #s(literal -4 binary32) v) |
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(exp (/ -4 v)) |
(exp.f32 (/.f32 #s(literal -4 binary32) v)) |
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(neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -4 binary32) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) 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)) |
(neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal -1/6 binary32) (*.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -4 binary32) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/2 binary32))) v))) 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)) |
(neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -4 binary32) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 #s(literal -64 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal -48 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))))) v) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/6 binary32))) v))) v))) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) |
(neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v)) |
(neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) v)) #s(literal 2 binary32)) v)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))) |
(fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* -2 u)) v)) 2) v)) |
(neg.f32 (/.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) #s(literal 2 binary32)) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3) v)))) v)) 2) v)) |
(neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(literal -8 binary32) u) #s(literal -1/2 binary32)) #s(literal 4/3 binary32))) v)) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (- (+ (* -1 (/ (+ 2/3 (* -1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u))))) v)) (* -1/2 (- (* 8 u) (* 16 u)))) 4/3) v)))) v)) 2) v)) |
(neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal -1/2 binary32) (neg.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) v))) #s(literal 4/3 binary32)) v))) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 605 |
| 0 | 134 | 586 |
| 1 | 501 | 569 |
| 2 | 4074 | 569 |
| 0 | 8121 | 568 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) |
(/.f32 v #s(literal 2 binary32)) |
(log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
(-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)) |
#s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) |
(*.f32 #s(literal 2 binary32) u) |
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) |
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)) |
(*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) |
(*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
(exp.f32 (/.f32 #s(literal -4 binary32) v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) |
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) |
(/.f32 #s(literal 2/3 binary32) (*.f32 v v)) |
(exp.f32 (/.f32 #s(literal 2 binary32) v)) |
(fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
| Outputs |
|---|
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)))) (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 1 binary32))) |
(/.f32 (+.f32 (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 2 binary32)) (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)))) (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 2 binary32)) (-.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 1 binary32)))) |
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(fma.f32 #s(literal -1/2 binary32) (*.f32 u (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(fma.f32 u (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal -1/2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(+.f32 (/.f32 (pow.f32 (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal 3 binary32)) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (pow.f32 (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (pow.f32 (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(+.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) (neg.f32 (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) |
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) |
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) |
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) |
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) |
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) |
(+.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) |
Compiled 50 914 to 4 294 computations (91.6% saved)
39 alts after pruning (31 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 655 | 11 | 666 |
| Fresh | 4 | 20 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 662 | 39 | 701 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 #s(approx (pow (- 1 u) 2) (fma.f32 (-.f32 u #s(literal 2 binary32)) u #s(literal 1 binary32))) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) | |
| 99.6% | (fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 #s(approx (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (neg.f32 u))) u) #s(literal -1 binary32) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 u u)))) #s(literal 1 binary32)) | |
| 99.7% | (fma.f32 (log.f32 (fma.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) | |
| ✓ | 99.6% | (fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
| 95.1% | (fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) | |
| 91.8% | (fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) | |
| 94.1% | (fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) | |
| ✓ | 99.7% | (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)) |
| 95.2% | (fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) | |
| 9.6% | (fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) | |
| 10.7% | (fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) | |
| 99.3% | (fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) | |
| 99.3% | (/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) | |
| 99.2% | (/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) | |
| 99.4% | (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (neg.f32 (/.f32 v #s(literal 2 binary32)))))) | |
| ✓ | 94.7% | (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))) |
| ✓ | 9.6% | (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
| 13.6% | (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) | |
| 7.6% | (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))))) | |
| 11.4% | (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) | |
| 10.8% | (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32))))) | |
| 99.5% | (+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))))) | |
| ✓ | 9.6% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
| 10.7% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) | |
| 11.2% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) | |
| 9.5% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u))))) | |
| 99.5% | (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32)))) (fma.f32 (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)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))) | |
| 9.6% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) | |
| ✓ | 87.9% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
| 4.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| ✓ | 4.5% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))) |
| 9.9% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v) #s(literal -1 binary32) #s(literal 4 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))) | |
| 9.9% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))) | |
| 9.9% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) | |
| 10.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) | |
| 7.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32))) | |
| ✓ | 5.5% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 3 966 to 1 480 computations (62.7% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
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(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32)))) (fma.f32 (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)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) |
| Outputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) |
4 calls:
| 70.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 16.0ms | u |
| 16.0ms | v |
| 15.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 99.7% | 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))))))) |
| 99.7% | 1 | u |
| 99.7% | 1 | v |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) |
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)))) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) 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)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) |
(+.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 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))))) |
(+.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32)) |
(+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))) |
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.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 (log.f32 (fma.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.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) (*.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.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 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) u)))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v) #s(literal -1 binary32) #s(literal 4 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v) #s(literal -1 binary32) #s(literal 4 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 #s(approx (pow (- 1 u) 2) (fma.f32 (-.f32 u #s(literal 2 binary32)) u #s(literal 1 binary32))) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.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 v (-.f32 (log.f32 (fma.f32 (neg.f32 u) u (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (log.f32 (+.f32 (neg.f32 u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))))) |
| Outputs |
|---|
(fma.f32 (log.f32 (fma.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
4 calls:
| 98.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 16.0ms | u |
| 16.0ms | 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 |
|---|---|---|
| 99.7% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 99.7% | 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))))))) |
| 99.7% | 1 | u |
| 99.7% | 1 | v |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) |
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)))) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) 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)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) |
(+.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 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))))) |
(+.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32)) |
(+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))) |
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.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)) |
| Outputs |
|---|
(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)) |
4 calls:
| 13.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 12.0ms | u |
| 11.0ms | v |
| 10.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 99.7% | 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))))))) |
| 99.7% | 1 | u |
| 99.7% | 1 | v |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) |
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)))) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
| Outputs |
|---|
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
4 calls:
| 9.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 9.0ms | u |
| 9.0ms | v |
| 8.0ms | (+.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 |
|---|---|---|
| 95.2% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 95.2% | 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))))))) |
| 95.2% | 1 | u |
| 95.2% | 1 | v |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) |
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)))) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
| Outputs |
|---|
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
4 calls:
| 12.0ms | u |
| 9.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 9.0ms | v |
| 8.0ms | (+.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 |
|---|---|---|
| 95.1% | 1 | v |
| 95.1% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 95.1% | 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))))))) |
| 95.1% | 1 | u |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) |
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)))) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
| Outputs |
|---|
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
4 calls:
| 12.0ms | v |
| 9.0ms | u |
| 9.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 7.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 94.1% | 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))))))) |
| 94.1% | 1 | u |
| 94.1% | 1 | v |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) |
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)))) |
| Outputs |
|---|
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
4 calls:
| 9.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 8.0ms | u |
| 8.0ms | v |
| 7.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 91.8% | 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))))))) |
| 91.8% | 1 | u |
| 91.8% | 1 | v |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) |
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
4 calls:
| 38.0ms | (+.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))))))) |
| 8.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 7.0ms | v |
| 7.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 1 | u |
| 91.6% | 2 | v |
| 91.7% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 91.7% | 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))))))) |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) |
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
3 calls:
| 12.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 6.0ms | v |
| 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 |
|---|---|---|
| 91.4% | 2 | v |
| 91.5% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 91.5% | 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))))))) |
Compiled 29 to 25 computations (13.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) |
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v)))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
| Outputs |
|---|
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
3 calls:
| 4.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 4.0ms | 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 |
|---|---|---|
| 91.3% | 2 | 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)))))) |
| 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))))))) |
Compiled 29 to 25 computations (13.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) |
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v)))))) |
| Outputs |
|---|
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
3 calls:
| 4.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 4.0ms | 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 |
|---|---|---|
| 87.9% | 1 | v |
| 91.1% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 91.1% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
Compiled 29 to 25 computations (13.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))))) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
3 calls:
| 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))))))) |
| 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 |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 1 | 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)))))) |
| 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))))))) |
Compiled 29 to 25 computations (13.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
4 calls:
| 1.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 1.0ms | u |
| 1.0ms | v |
| 1.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.5% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 5.5% | 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))))))) |
| 5.5% | 1 | u |
| 5.5% | 1 | v |
Compiled 30 to 27 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.36910414695739746 | 0.46802085638046265 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.36910414695739746 | 0.46802085638046265 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.36910414695739746 | 0.46802085638046265 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.36910414695739746 | 0.46802085638046265 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 588 |
| 1 | 252 | 582 |
| 2 | 451 | 582 |
| 3 | 1013 | 582 |
| 4 | 3640 | 582 |
| 1× | node limit |
| Inputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (-.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)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
| Outputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (-.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)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) (neg.f32 #s(literal 1/2 binary32))) #s(literal 2/3 binary32)) v)) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1195 | 11429 |
| 1 | 4419 | 10251 |
| 0 | 8212 | 9388 |
| 0 | 53 | 341 |
| 0 | 86 | 338 |
| 1 | 303 | 334 |
| 2 | 2143 | 334 |
| 0 | 8830 | 331 |
| 0 | 82 | 605 |
| 0 | 134 | 586 |
| 1 | 501 | 569 |
| 2 | 4074 | 569 |
| 0 | 8121 | 568 |
| 0 | 995 | 9681 |
| 1 | 3609 | 9374 |
| 0 | 9029 | 8433 |
| 0 | 1599 | 23883 |
| 1 | 5712 | 22404 |
| 0 | 8259 | 21146 |
| 0 | 45 | 297 |
| 0 | 75 | 288 |
| 1 | 286 | 284 |
| 2 | 1923 | 284 |
| 0 | 9064 | 279 |
| 0 | 337 | 2667 |
| 1 | 1090 | 2450 |
| 2 | 4482 | 2387 |
| 0 | 8293 | 2134 |
| 0 | 12 | 53 |
| 0 | 20 | 53 |
| 1 | 74 | 53 |
| 2 | 488 | 53 |
| 3 | 5268 | 53 |
| 0 | 8312 | 48 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 588 to 166 computations (71.8% saved)
Compiled 1 206 to 356 computations (70.5% saved)
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