
Time bar (total: 8.4s)
| 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)
| 2.1s | 8 256× | 0 | valid |
ival-mult: 681.0ms (39.3% of total)const: 240.0ms (13.9% of total)ival-<=: 218.0ms (12.6% of total)ival-exp: 160.0ms (9.2% of total)ival-add: 138.0ms (8% of total)ival-log: 136.0ms (7.9% of total)ival-div: 69.0ms (4% of total)ival-sub: 47.0ms (2.7% of total)ival-and: 25.0ms (1.4% of total)exact: 13.0ms (0.8% of total)ival-assert: 4.0ms (0.2% of total)adjust: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | #s(literal -2 binary32) |
| 0 | 5 | (0.008342912420630455 0.004457572940737009) | 0 | - | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
| 0 | 0 | - | 0 | - | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal -2 binary32) v) |
| 0 | 0 | - | 0 | - | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 0 | 0 | - | 0 | - | (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f32 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | sensitivity | 5 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 2 |
| - | 5 | 249 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 1 | 1 |
| - | 5 | 1 | 248 |
| number | freq |
|---|---|
| 0 | 251 |
| 1 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 53.0ms | 512× | 0 | valid |
Compiled 161 to 40 computations (75.2% saved)
ival-div: 9.0ms (26.5% of total)ival-mult: 6.0ms (17.6% of total)ival-add: 5.0ms (14.7% of total)ival-log: 5.0ms (14.7% of total)ival-exp: 4.0ms (11.8% of total)ival-sub: 3.0ms (8.8% of total)exact: 1.0ms (2.9% 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 |
|---|---|---|
| ▶ | 99.5% | (+.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 | 0.04032003162065376 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 0.046684705917839735 | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) | |
| accuracy | 0.05144501953688403 | (+.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 | 0.29296875 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 26.0ms | 256× | 0 | valid |
Compiled 73 to 14 computations (80.8% saved)
ival-div: 6.0ms (32.7% of total)ival-mult: 3.0ms (16.4% of total)ival-log: 3.0ms (16.4% of total)ival-add: 2.0ms (10.9% of total)ival-exp: 2.0ms (10.9% of total)ival-sub: 2.0ms (10.9% 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 | |
|---|---|---|---|---|
| 96.0ms | 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))) |
| 7.0ms | u | @ | 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))) |
| 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))) |
| 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))) |
| 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)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 270 | 24 | 294 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 270 | 25 | 295 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (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)) | |
| 99.5% | (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)) | |
| 99.2% | (/.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))) | |
| 99.4% | (+.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)) | |
| ▶ | 99.5% | (+.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)) |
| 99.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 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))) #s(literal 3 binary32)) (pow.f32 (/.f32 (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))) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 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))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (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))) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 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 (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)))))))))) | |
| ✓ | 99.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 2.4% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 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)))))))) | |
| ▶ | 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))) |
| 2.4% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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)))))) | |
| ▶ | 10.6% | (+.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))))) |
| 12.2% | (+.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 (/.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))))) | |
| 7.8% | (+.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))))) | |
| 99.2% | (+.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))))) | |
| 14.7% | (+.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)))) | |
| 12.4% | (+.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)))) | |
| 10.7% | (+.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)))) | |
| 94.4% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) v) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)))) | |
| 7.8% | #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))) | |
| 14.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))) | |
| 6.1% | #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))) | |
| ▶ | 5.8% | #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))) |
| 10.7% | #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))) | |
| 87.2% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) | |
| ▶ | 6.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 1 839 to 1 050 computations (42.9% 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 | (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) | |
| cost-diff | 0 | (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) | |
| cost-diff | 1 | (+.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)) | |
| 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 | #s(approx (+ u (* (- 1 u) (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)))) | |
| cost-diff | 0 | (log.f32 #s(approx (+ u (* (- 1 u) (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))))) | |
| cost-diff | 0 | (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))) | |
| cost-diff | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 485 |
| 0 | 80 | 476 |
| 1 | 138 | 472 |
| 2 | 295 | 472 |
| 3 | 919 | 472 |
| 4 | 3935 | 472 |
| 0 | 8146 | 463 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))) |
#s(literal 1 binary32) |
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))) |
v |
(log.f32 #s(approx (+ u (* (- 1 u) (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))))) |
#s(approx (+ u (* (- 1 u) (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)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(-.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) v) |
#s(literal -2 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) (*.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 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) |
(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) |
u |
#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 |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))) |
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))) |
(*.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v) |
v |
(log.f32 #s(approx (+ u (* (- 1 u) (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))))) |
#s(approx (+ u (* (- 1 u) (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)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(-.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) v) |
#s(literal -2 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) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) |
(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 1 binary32) |
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) |
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) |
(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) |
u |
#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 | 0.049160009768442016 | (expm1.f32 (/.f32 #s(literal 2 binary32) v)) | |
| accuracy | 0.061108813241307514 | (exp.f32 (/.f32 #s(literal -4 binary32) v)) | |
| accuracy | 6.135908556287195 | (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 | 6.565444021770455 | #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 | 0.04032003162065376 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 0.046684705917839735 | (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) | |
| accuracy | 0.05078125 | (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) | |
| accuracy | 0.05144501953688403 | (+.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)) | |
| accuracy | 0.049160009768442016 | (expm1.f32 (/.f32 #s(literal 2 binary32) v)) | |
| accuracy | 0.05078125 | (*.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 | 0.05144501953688403 | (+.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 | 6.781432133229016 | #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 | 7.288961995542601 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) | |
| accuracy | 0.04408360241743066 | (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) | |
| accuracy | 0.046684705917839735 | (log.f32 #s(approx (+ u (* (- 1 u) (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))))) | |
| accuracy | 0.05078125 | (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))) | |
| accuracy | 0.05144501953688403 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))) |
| 63.0ms | 188× | 0 | exit |
| 19.0ms | 68× | 0 | valid |
Compiled 412 to 42 computations (89.8% saved)
ival-mult: 20.0ms (31.8% of total)ival-log: 14.0ms (22.2% of total)ival-add: 8.0ms (12.7% of total)ival-div: 6.0ms (9.5% of total)ival-exp: 4.0ms (6.4% of total)ival-expm1: 4.0ms (6.4% of total)ival-sub: 3.0ms (4.8% of total)ival-pow2: 3.0ms (4.8% of total)exact: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))) |
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))) |
(log.f32 #s(approx (+ u (* (- 1 u) (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))))) |
#s(approx (+ u (* (- 1 u) (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)))) |
#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) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) |
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) |
(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) |
(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) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(exp.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 |
(- (* 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))) |
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
(* 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)))))))))) |
(* 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 (+ 1 (* -1 (exp (/ -2 v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* u (- (exp (/ 2 v)) 1)) |
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v)))))) |
(* -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))))))) |
(* 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 (* u (- (exp (/ -2 v)) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v)))))) |
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)) u)) (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))))) |
1 |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v) |
(* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1)) |
(- (* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1))) 1) |
(* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1))) |
(- 1 (exp (/ -2 v))) |
(- (exp (/ 2 v)) 1) |
(exp (/ -4 v)) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -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)))))) |
(* -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) |
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(/ (- (* 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) |
2 |
(+ 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)))))) |
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(* 2 u) |
(+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v)) |
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(/ 2 v) |
(/ (- 2 (* 2 (/ 1 v))) v) |
(/ (- (+ 2 (/ 4/3 (pow v 2))) (* 2 (/ 1 v))) v) |
(/ (- (+ 2 (/ 4/3 (pow v 2))) (+ (* 2 (/ 1 v)) (* 2/3 (/ 1 (pow v 3))))) v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v) |
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(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v)) |
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(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
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(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v)) |
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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) |
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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)) |
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 v)) 4/3) v)) 2) v)) 2) v)) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | v | @ | 0 | ((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 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 (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (* 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) (- 1 (exp (/ -2 v))) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (exp (/ -4 v))) |
| 4.0ms | v | @ | inf | ((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 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 (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (* 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) (- 1 (exp (/ -2 v))) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (exp (/ -4 v))) |
| 4.0ms | u | @ | 0 | ((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 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 (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (* 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) (- 1 (exp (/ -2 v))) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (exp (/ -4 v))) |
| 3.0ms | u | @ | inf | ((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 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 (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (* 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) (- 1 (exp (/ -2 v))) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (exp (/ -4 v))) |
| 3.0ms | u | @ | -inf | ((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 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 (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (* 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) (- 1 (exp (/ -2 v))) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (exp (/ -4 v))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 614 | 4057 |
| 1 | 2018 | 3757 |
| 2 | 7801 | 3681 |
| 0 | 8314 | 3285 |
| 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) |
-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))) |
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(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
(* 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) |
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(* 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)))))) |
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(+ 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))))))))) |
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(* u (+ 1 (* -1 (exp (/ -2 v))))) |
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(+ (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))) |
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v)))))) |
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)) u)) (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))))) |
1 |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v) |
(* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1)) |
(- (* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1))) 1) |
(* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1))) |
(- 1 (exp (/ -2 v))) |
(- (exp (/ 2 v)) 1) |
(exp (/ -4 v)) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -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)))))) |
(* -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 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 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) |
2 |
(+ 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 (/ 4/3 (pow v 2))) (* 2 (/ 1 v))) v) |
(/ (- (+ 2 (/ 4/3 (pow v 2))) (+ (* 2 (/ 1 v)) (* 2/3 (/ 1 (pow v 3))))) 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 v))) |
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
(- 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)))) |
(+ (* -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 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 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)) |
(+ 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 (/ (- (* 2 (/ 1 v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 v)) 2) v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 v)) 4/3) v)) 2) v)) 2) 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 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) 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 #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)) 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 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (*.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)) u) #s(literal 1 binary32)) |
-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 #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)) 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 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (*.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)) 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 #s(literal -1/2 binary32) 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))) 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)) |
(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))) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)) |
(* 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 #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)) |
(- (* 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 #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)) 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 #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)) u) |
(+ 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)))))))) |
(fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) v) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 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 (/.f32 v u) u)) (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) v) (exp.f32 (/.f32 #s(literal -6 binary32) v))) (pow.f32 (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 3 binary32)))) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32))) |
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) |
(*.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) |
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(-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) 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))) |
(-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.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))))))) (neg.f32 v)))) v)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v)) |
(/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) v)) (neg.f32 v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.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 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 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 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.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))) (neg.f32 v)))) (neg.f32 v))) (neg.f32 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 (/ (+ 2 (* -2 u)) v)) |
(/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (neg.f32 v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v)) |
(/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v)) |
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (neg.f32 v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v)) |
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.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)) (neg.f32 v)) |
(+ 2 (* -1 (/ (- (* 2 u) 2) v))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))) v)) (* 2 u)) 2) v))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) 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))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) |
(- (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) 1) |
(-.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)) |
(- (+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1) |
(-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u)) (neg.f32 v))) #s(literal 1 binary32)) |
(- (+ (* -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) |
(-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 1 binary32))) |
(+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) |
(fma.f32 (neg.f32 u) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v) (*.f32 #s(literal 2 binary32) u)) |
(+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) |
(fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u)) (neg.f32 v))) |
(+ (* -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)) |
(fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v))) |
(* -1 (/ (- (* 2 (/ 1 v)) 2) v)) |
(/.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (neg.f32 v)) |
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 v)) 2) v)) 2) v)) |
(neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal -2 binary32)) v)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 v)) 4/3) v)) 2) v)) 2) v)) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) |
(/.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)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v)) |
(/.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)) |
(+ 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 (/ (- 4 (* 8 (/ 1 v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)) |
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v)) v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 377 |
| 0 | 80 | 368 |
| 1 | 312 | 364 |
| 2 | 2136 | 364 |
| 0 | 8892 | 355 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))) |
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))) |
(log.f32 #s(approx (+ u (* (- 1 u) (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))))) |
#s(approx (+ u (* (- 1 u) (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)))) |
#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) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) |
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) |
(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) |
(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) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(exp.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 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) 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 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 (*.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32))))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (neg.f32 (neg.f32 v)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (neg.f32 (neg.f32 v)))) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (neg.f32 (neg.f32 v))))) (*.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (neg.f32 (neg.f32 v)))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (neg.f32 v))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (neg.f32 v)) #s(literal 1 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)))) (*.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v))) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v))) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v))))) |
(/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)))) (*.f32 (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (neg.f32 v))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (neg.f32 v)) #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)))) |
(/.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v))))) |
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(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)))))) |
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(/.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 (+.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 (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 40 339 to 3 732 computations (90.7% saved)
42 alts after pruning (38 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 653 | 29 | 682 |
| Fresh | 10 | 9 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 665 | 42 | 707 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (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)) | |
| 99.5% | (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) | |
| ▶ | 99.6% | (fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32)) |
| 99.2% | (/.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))) | |
| 99.4% | (+.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 #s(literal 1 binary32) (+.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32)))) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32)))))) | |
| 99.4% | (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (log.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32)))) (log.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (*.f32 u u)))) v)) | |
| ✓ | 99.5% | (+.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)) |
| 2.3% | (+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 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))) (-.f32 #s(literal 1 binary32) u) u)) v)) | |
| ✓ | 99.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| ✓ | 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))) |
| 2.4% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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)))))) | |
| 11.5% | (+.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 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) | |
| 11.9% | (+.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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) | |
| 12.2% | (+.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 (/.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))))) | |
| 13.9% | (+.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 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) 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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))))) | |
| 7.8% | (+.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) u #s(literal -2 binary32)) v))))) | |
| 11.5% | (+.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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #s(literal 2 binary32)) v))))) | |
| ▶ | 12.0% | (+.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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))) |
| 12.0% | (+.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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (neg.f32 v)))))) | |
| 99.2% | (+.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))))) | |
| ▶ | 10.7% | (+.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)))) |
| 94.4% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) v) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)))) | |
| 7.8% | #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))) | |
| ▶ | 12.4% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) |
| 11.2% | #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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| 11.2% | #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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| 5.8% | #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))) | |
| 10.7% | #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))) | |
| 14.8% | #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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 binary32))) | |
| 12.0% | #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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) | |
| 11.1% | #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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32))) | |
| 12.0% | #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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) | |
| 7.8% | #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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #s(literal 2 binary32))) u) #s(literal 1 binary32))) | |
| 7.8% | #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)) #s(literal 2 binary32)) u) #s(literal 1 binary32))) | |
| 12.0% | #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) (fma.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 binary32))) | |
| 11.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32))))) | |
| 11.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 1 binary32))))) | |
| 5.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (*.f32 (fma.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 (fma.f32 (neg.f32 v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u))) (*.f32 u u)))) | |
| ▶ | 87.2% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
| ✓ | 6.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 3 652 to 2 430 computations (33.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)) | |
| cost-diff | 0 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) | |
| cost-diff | 2 | (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) | |
| cost-diff | 4 | (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))))) | |
| cost-diff | 0 | (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) | |
| cost-diff | 0 | (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (+.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)))) | |
| cost-diff | 0 | #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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))) | |
| cost-diff | 0 | (*.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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))) | |
| cost-diff | 1 | (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) | |
| cost-diff | 1 | (+.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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #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 | (fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v))) | |
| cost-diff | 0 | #s(approx (+ u (* (- 1 u) (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)))) | |
| cost-diff | 0 | (log.f32 #s(approx (+ u (* (- 1 u) (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))))) | |
| cost-diff | 0 | (fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 712 |
| 0 | 105 | 712 |
| 1 | 191 | 707 |
| 2 | 449 | 707 |
| 3 | 1569 | 686 |
| 4 | 6575 | 686 |
| 0 | 8106 | 652 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32)) |
(log.f32 #s(approx (+ u (* (- 1 u) (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))))) |
#s(approx (+ u (* (- 1 u) (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)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(-.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 |
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))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))) |
#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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))) |
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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))) |
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)) |
(/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v) |
(-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) |
#s(literal 2 binary32) |
u |
(/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v) |
(fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) |
#s(literal 4/3 binary32) |
(/.f32 u v) |
(*.f32 #s(literal 2 binary32) u) |
(+.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)))) |
#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 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) |
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(*.f32 u v) |
u |
v |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) |
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
#s(literal -2 binary32) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(/.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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v) |
(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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) |
(/.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 #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 -24 binary32) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
#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 8 binary32) |
(*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) |
#s(literal 16 binary32) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
#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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) |
| Outputs |
|---|
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32)) |
(log.f32 #s(approx (+ u (* (- 1 u) (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))))) |
#s(approx (+ u (* (- 1 u) (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)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(-.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 |
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))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))) |
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u)) #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))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))) |
(*.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)) v))) v) |
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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))) |
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)) v))) |
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)) |
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)) v)) |
(/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v) |
(/.f32 (-.f32 (fma.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)) v) |
(-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) |
(-.f32 (fma.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) |
(fma.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u)) |
#s(literal 2 binary32) |
u |
(/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v) |
(*.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32))) |
(fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) |
(*.f32 u (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32))) |
#s(literal 4/3 binary32) |
(/.f32 u v) |
(*.f32 #s(literal 2 binary32) u) |
(+.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(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) #s(literal 2 binary32))) #s(literal 1 binary32)) |
#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))) |
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) #s(literal 2 binary32))) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) |
(-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) #s(literal 2 binary32)) |
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) |
(*.f32 u v) |
(*.f32 v u) |
u |
v |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))) v))) |
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)) |
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))) v)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) |
#s(literal -2 binary32) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(/.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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))) v) |
(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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))) |
(/.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) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) v) |
(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))))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) |
#s(literal -24 binary32) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
#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)))) |
(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 8 binary32) |
(*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)) |
#s(literal 16 binary32) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
#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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.6785126953688405 | (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) | |
| accuracy | 6.108792872623244 | (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) | |
| accuracy | 7.807201651594912 | (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))))) | |
| accuracy | 28.040013537083574 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) | |
| accuracy | 0.01953125 | (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) | |
| accuracy | 0.049160009768442016 | (expm1.f32 (/.f32 #s(literal 2 binary32) v)) | |
| accuracy | 0.05144501953688403 | (+.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)))) | |
| accuracy | 29.73584021915614 | #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))) | |
| accuracy | 0.29296875 | (*.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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))) | |
| accuracy | 0.33984375 | (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) | |
| accuracy | 9.840889668420509 | #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)) | |
| accuracy | 29.976637267660887 | #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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))) | |
| accuracy | 4.104412393246311 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) | |
| accuracy | 0.04032003162065376 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 0.04408360241743066 | (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) | |
| accuracy | 0.046684705917839735 | (log.f32 #s(approx (+ u (* (- 1 u) (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))))) | |
| accuracy | 0.06707001953688403 | (fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32)) |
| 125.0ms | 256× | 0 | valid |
Compiled 539 to 58 computations (89.2% saved)
ival-add: 41.0ms (38.9% of total)ival-mult: 21.0ms (19.9% of total)ival-div: 15.0ms (14.2% of total)const: 7.0ms (6.6% of total)ival-sub: 5.0ms (4.7% of total)ival-expm1: 4.0ms (3.8% of total)ival-log: 3.0ms (2.8% of total)ival-pow: 3.0ms (2.8% of total)ival-pow2: 3.0ms (2.8% of total)ival-exp: 2.0ms (1.9% 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 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32)) |
(log.f32 #s(approx (+ u (* (- 1 u) (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))))) |
#s(approx (+ u (* (- 1 u) (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)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) 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))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))) |
(fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) |
(*.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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) 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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))) |
(+.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)))) |
#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 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) |
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(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))))) |
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) |
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
| 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)))))) |
(+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v))))) |
(* u (+ 2 (* 4/3 (/ 1 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 (* v (- (exp (/ 2 v)) 1))) 2) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(* -8 u) |
(* u (- (* 24 u) 8)) |
(* u (- (* u (+ 24 (* -16 u))) 8)) |
(* -2 u) |
(* u (- (* 2 u) 2)) |
(- (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v)))) (* 2 (/ 1 v)))) 1) |
(- (* u (- (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) (* 2 (/ 1 v)))) 1) |
(- (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 4 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))))) (* 2 (/ 1 v)))) 1) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
1 |
(+ 1 (* -3 u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(+ 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)))) |
(* u (- 1 (exp (/ -2 v)))) |
(* u (- (+ 1 (/ (exp (/ -2 v)) u)) (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))))))))) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u)))) |
(* -16 (pow u 3)) |
(* (pow u 3) (- (* 24 (/ 1 u)) 16)) |
(* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 2))))) |
(* 2 (pow u 2)) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 1 (pow u 3)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))) |
(* u (- (exp (/ 2 v)) 1)) |
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v)))))) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (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))) |
(* -1 (* u (+ (* -1 (- 1 (exp (/ -2 v)))) (* -1 (/ (exp (/ -2 v)) u))))) |
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) |
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u))))) |
(* -1 (* (pow u 3) (- 16 (* 24 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 v)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ 1 v)) (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v)))))) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(* 4/3 (/ u v)) |
(/ (+ (* 4/3 u) (* 2 (* u v))) v) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (pow v 2))) |
(/ (- (* -1 (* v (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) (pow v 2)) |
(/ (- (* v (- (* v (+ 1 (* -2 (- 1 u)))) (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) (pow v 2)) |
(- 1 (exp (/ -2 v))) |
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v) |
(- (exp (/ 2 v)) 1) |
(+ 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)))))) |
(* -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 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 (/ u v))) (* 2 (/ 1 v))) |
(- (+ 1 (+ (* -2 (/ u (pow v 2))) (+ (* 2 (/ u v)) (/ 2 (pow v 2))))) (* 2 (/ 1 v))) |
(- (+ 1 (+ (* -2 (/ u (pow v 2))) (+ (* 4/3 (/ u (pow v 3))) (+ (* 2 (/ u v)) (/ 2 (pow v 2)))))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
(* 2 u) |
(+ (* 4/3 (/ u v)) (* 2 u)) |
(* -2 (- 1 u)) |
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) |
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) |
(- (* 2 u) 2) |
(- (+ (* 2 u) (* 2 (/ u v))) 2) |
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2) |
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2) |
(+ (* 2 u) (* 2 (/ u v))) |
(+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) |
(+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))) v)))) |
(- (+ 1 (+ (* -2 (- 1 u)) (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (pow v 2))))) (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (pow (- 1 u) 2) v)))) |
(/ 2 v) |
(/ (- 2 (* 2 (/ 1 v))) v) |
(/ (- (+ 2 (/ 4/3 (pow v 2))) (* 2 (/ 1 v))) v) |
(/ (- (+ 2 (/ 4/3 (pow v 2))) (+ (* 2 (/ 1 v)) (* 2/3 (/ 1 (pow v 3))))) 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))))) |
(/ (- (* 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) |
(/ (+ 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 (/ (+ (* -1/2 (+ (* -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 u)) v))) |
(+ 1 (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (* -2 u)) v)))) v))) |
(+ 1 (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 4/3 (* -4/3 u)) 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 u) (* -4/3 (/ u v))) v)) (* 2 u)) 2) |
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 2) |
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (- (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* -1 (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) v)))) |
(* -1 (/ (- (* 2 (/ 1 v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 v)) 2) v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 v)) 4/3) v)) 2) v)) 2) v)) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) 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 (/ (+ 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 | |
|---|---|---|---|---|
| 11.0ms | v | @ | 0 | ((+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (+ (* (- 1 (exp (/ -2 v))) u) (exp (/ -2 v))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* 4/3 (/ u v)) (* 2 u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (- 1 (exp (/ -2 v))) (exp (/ -2 v)) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3)) |
| 8.0ms | u | @ | 0 | ((+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (+ (* (- 1 (exp (/ -2 v))) u) (exp (/ -2 v))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* 4/3 (/ u v)) (* 2 u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (- 1 (exp (/ -2 v))) (exp (/ -2 v)) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3)) |
| 5.0ms | u | @ | inf | ((+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (+ (* (- 1 (exp (/ -2 v))) u) (exp (/ -2 v))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* 4/3 (/ u v)) (* 2 u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (- 1 (exp (/ -2 v))) (exp (/ -2 v)) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3)) |
| 4.0ms | u | @ | -inf | ((+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (+ (* (- 1 (exp (/ -2 v))) u) (exp (/ -2 v))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* 4/3 (/ u v)) (* 2 u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (- 1 (exp (/ -2 v))) (exp (/ -2 v)) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3)) |
| 3.0ms | v | @ | inf | ((+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (+ (* (- 1 (exp (/ -2 v))) u) (exp (/ -2 v))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* 4/3 (/ u v)) (* 2 u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (- 1 (exp (/ -2 v))) (exp (/ -2 v)) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 700 | 4288 |
| 1 | 2310 | 4002 |
| 0 | 8409 | 3707 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ -2 v) |
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(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v))))) |
(* u (+ 2 (* 4/3 (/ 1 v)))) |
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(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2) |
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(- (* u (* v (- (exp (/ 2 v)) 1))) 2) |
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(* -8 u) |
(* u (- (* 24 u) 8)) |
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(* -2 u) |
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(- 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 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) |
(/ (+ 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 (/ (+ (* -1/2 (+ (* -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 u)) v))) |
(+ 1 (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (* -2 u)) v)))) v))) |
(+ 1 (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 4/3 (* -4/3 u)) 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 u) (* -4/3 (/ u v))) v)) (* 2 u)) 2) |
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 2) |
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (- (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* -1 (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) v)))) |
(* -1 (/ (- (* 2 (/ 1 v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 v)) 2) v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 v)) 4/3) v)) 2) v)) 2) v)) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) 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 (/ (+ 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 |
#s(literal -1 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(-.f32 (*.f32 (*.f32 v u) (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 #s(literal -1/2 binary32) u) (*.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 (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 -1/2 binary32) 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 (/.f32 (*.f32 (*.f32 v u) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (exp.f32 (/.f32 #s(literal -6 binary32) v))) #s(literal 1/3 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))) |
(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 #s(literal -1/2 binary32) 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)))) (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 #s(literal 1/3 binary32) u) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (*.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 -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 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(+ (exp (/ -2 v)) (* u (- 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))) |
(* u (+ 2 (* 4/3 (/ 1 v)))) |
(*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) |
-2 |
#s(literal -2 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2) |
(-.f32 (*.f32 (*.f32 v u) (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 #s(literal -1/2 binary32) u) (*.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 (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 -1/2 binary32) 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 (/.f32 (*.f32 (*.f32 v u) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (exp.f32 (/.f32 #s(literal -6 binary32) v))) #s(literal 1/3 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32)) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 2) |
(-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(* -8 u) |
(*.f32 #s(literal -8 binary32) u) |
(* u (- (* 24 u) 8)) |
(*.f32 (-.f32 (*.f32 #s(literal 24 binary32) u) #s(literal 8 binary32)) u) |
(* u (- (* u (+ 24 (* -16 u))) 8)) |
(*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u) |
(* -2 u) |
(*.f32 #s(literal -2 binary32) u) |
(* u (- (* 2 u) 2)) |
(*.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u) |
(- (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v)))) (* 2 (/ 1 v)))) 1) |
(-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)) |
(- (* u (- (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) (* 2 (/ 1 v)))) 1) |
(-.f32 (*.f32 (-.f32 (fma.f32 (neg.f32 u) (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)) |
(- (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 4 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))))) (* 2 (/ 1 v)))) 1) |
(-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)) |
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v))) |
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -3 u)) |
(fma.f32 #s(literal -3 binary32) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* 3 u) 3))) |
(fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) u) #s(literal 3 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) u) #s(literal 3 binary32)) u #s(literal 1 binary32)) |
(+ 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)))))))) |
(fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(fma.f32 (/.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 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 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 (*.f32 v (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 u u))) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) v) (exp.f32 (/.f32 #s(literal -6 binary32) v))) (pow.f32 (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 3 binary32)))) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) |
(+.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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (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 (fma.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 u u)) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) #s(literal -1/2 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (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)))) (+ (* 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 (fma.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 u u)) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) (pow.f32 (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 3 binary32))) #s(literal 1/3 binary32) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(fma.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u u) |
(* u (- 1 (exp (/ -2 v)))) |
(fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(* u (- (+ 1 (/ (exp (/ -2 v)) u)) (exp (/ -2 v)))) |
(fma.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u u) |
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) |
(*.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) |
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) |
(*.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) 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)))))))) |
(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 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (*.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) 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))))))))) |
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(/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)) (neg.f32 v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) 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 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 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 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (-.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 (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 #s(literal 1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))))) (neg.f32 v)) (*.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))))) (neg.f32 v))) (neg.f32 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 u)) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v)) |
(+ 1 (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (* -2 u)) v)))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v)) v)) |
(+ 1 (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 4/3 (* -4/3 u)) v)))) v)))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) 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))) |
(-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (*.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 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))) |
(-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.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 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32))) (neg.f32 v))) v)) |
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 2) |
(-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) |
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 2) |
(-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 v))) #s(literal 2 binary32)) |
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) |
(fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v))) |
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) |
(fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 v))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (- (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* -1 (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) v)))) |
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (*.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32))) v)) |
(* -1 (/ (- (* 2 (/ 1 v)) 2) v)) |
(/.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (neg.f32 v)) |
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 v)) 2) 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 (/ (- (* -1 (/ (- (* 2/3 (/ 1 v)) 4/3) v)) 2) v)) 2) v)) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (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)) |
(* -1 (/ (+ 2 (* -2 u)) v)) |
(/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (neg.f32 v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v)) |
(/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)) (neg.f32 v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v)) |
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)) |
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v)) |
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.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)) (neg.f32 v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) |
(/.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)) |
(* -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 | 64 | 487 |
| 0 | 105 | 487 |
| 1 | 435 | 484 |
| 2 | 3748 | 484 |
| 0 | 8109 | 467 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32)) |
(log.f32 #s(approx (+ u (* (- 1 u) (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))))) |
#s(approx (+ u (* (- 1 u) (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)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) 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))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))) |
(fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) |
(*.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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) 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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))) |
(+.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)))) |
#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 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) |
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(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))))) |
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) |
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
| Outputs |
|---|
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v))) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32))) |
(/.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v))) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)))) |
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(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 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)))) v))) v))) |
(fma.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 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)))) v))) v))) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 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)))) v))) v))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 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)))) v))) v))) |
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 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)))) v))) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 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)))) v))) v))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 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)))) v))) v))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.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 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (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 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(-.f32 (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal -2 binary32) v))) |
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (/.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 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) |
(*.f32 #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 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(/.f32 #s(literal 1 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))) |
(fma.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) |
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 (*.f32 (cosh.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 (*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 #s(literal 1 binary32) (sinh.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)) |
#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)) v)) #s(literal 2 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))) |
(*.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32)) (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) |
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) |
(/.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) |
(/.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal 3 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 3 binary32))) |
(pow.f32 (exp.f32 #s(literal 3 binary32)) (log.f32 (-.f32 #s(literal 1 binary32) u))) |
(pow.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 3/2 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) |
(+.f32 (cosh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (sinh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) |
(exp.f32 (fma.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32) (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32)))) |
(exp.f32 (fma.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u)))) |
(exp.f32 (+.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) #s(literal 3/2 binary32))) |
(exp.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) |
Compiled 26 420 to 2 883 computations (89.1% saved)
47 alts after pruning (40 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 444 | 13 | 457 |
| Fresh | 6 | 27 | 33 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 452 | 47 | 499 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (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)) | |
| ▶ | 99.5% | (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
| ✓ | 99.6% | (fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32)) |
| 94.4% | (fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) | |
| 99.2% | (/.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))) | |
| 99.4% | (+.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 #s(literal 1 binary32) (+.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32)))) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32)))))) | |
| 99.4% | (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (log.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32)))) (log.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (*.f32 u u)))) v)) | |
| ✓ | 99.5% | (+.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)) |
| ✓ | 99.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| ✓ | 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))) |
| 11.5% | (+.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 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) | |
| 11.9% | (+.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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) | |
| 12.2% | (+.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 (/.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))))) | |
| 13.9% | (+.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 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) 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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))))) | |
| 11.5% | (+.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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #s(literal 2 binary32)) v))))) | |
| 12.0% | (+.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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #s(literal 2 binary32)) v))))) | |
| 12.0% | (+.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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)))))) | |
| 10.2% | (+.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 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 #s(literal 2 binary32) u) v)) u))))) | |
| 99.2% | (+.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))))) | |
| ✓ | 10.7% | (+.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)))) |
| 12.1% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))) #s(literal 2 binary32)))) | |
| 11.6% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 v)))) #s(literal 2 binary32)))) | |
| 14.6% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 binary32)))) | |
| 10.7% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u)))) | |
| 7.8% | #s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) | |
| ▶ | 10.7% | #s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
| 94.4% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) v) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)))) | |
| 12.4% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) | |
| 11.2% | #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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| ▶ | 11.2% | #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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
| 5.8% | #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))) | |
| 14.8% | #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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 binary32))) | |
| 12.0% | #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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) | |
| 11.1% | #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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32))) | |
| ▶ | 12.0% | #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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) |
| 7.8% | #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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #s(literal 2 binary32))) u) #s(literal 1 binary32))) | |
| ▶ | 7.8% | #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)) #s(literal 2 binary32)) u) #s(literal 1 binary32))) |
| 12.0% | #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) (fma.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 binary32))) | |
| 12.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) | |
| 9.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) | |
| 11.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32))))) | |
| 11.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 1 binary32))))) | |
| 5.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (*.f32 (fma.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 (fma.f32 (neg.f32 v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u))) (*.f32 u u)))) | |
| ✓ | 87.2% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
| ✓ | 6.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 4 256 to 2 820 computations (33.7% saved)
| 1× | egg-herbie |
Found 20 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) | |
| cost-diff | 0 | (*.f32 v u) | |
| cost-diff | 0 | (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) | |
| cost-diff | 0 | (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) | |
| cost-diff | 0 | #s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) | |
| cost-diff | 0 | (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) | |
| cost-diff | 0 | (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #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 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) | |
| cost-diff | 2 | (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)) | |
| cost-diff | 0 | #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) | |
| cost-diff | 0 | (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u) | |
| cost-diff | 0 | (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u) #s(literal 1 binary32)) | |
| cost-diff | 0 | #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)) #s(literal 2 binary32)) u) #s(literal 1 binary32))) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) | |
| cost-diff | 0 | (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) | |
| cost-diff | 0 | (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) | |
| cost-diff | 0 | (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 769 |
| 0 | 116 | 761 |
| 1 | 190 | 741 |
| 2 | 412 | 736 |
| 3 | 1269 | 736 |
| 4 | 5385 | 736 |
| 0 | 8038 | 719 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(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) |
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)) #s(literal 2 binary32)) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #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)) #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)) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
u |
#s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) |
#s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) |
(+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)) |
(fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) |
(/.f32 u v) |
u |
v |
#s(literal -2 binary32) |
#s(literal 2 binary32) |
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v) |
(+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) |
(/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) |
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) |
#s(literal -4 binary32) |
#s(literal 4/3 binary32) |
#s(literal 1 binary32) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
(-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(*.f32 v u) |
v |
u |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) |
(/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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) |
#s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)) |
#s(literal 1 binary32) |
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) |
(-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) |
#s(literal 4 binary32) |
(/.f32 #s(literal 8 binary32) v) |
#s(literal 8 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) |
| Outputs |
|---|
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (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) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) 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) 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) |
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)) #s(literal 2 binary32)) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #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)) #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)) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
u |
#s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) v) #s(literal 2 binary32))) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)) |
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) v) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) |
(*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) v) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) |
#s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) v) #s(literal 2 binary32))) |
(+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)) |
(+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) v) #s(literal 2 binary32)) |
(fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) |
(/.f32 u v) |
u |
v |
#s(literal -2 binary32) |
#s(literal 2 binary32) |
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v) |
(+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) |
(/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) |
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) |
#s(literal -4 binary32) |
#s(literal 4/3 binary32) |
#s(literal 1 binary32) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) #s(literal 1 binary32))) |
(-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) #s(literal 1 binary32)) |
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) |
(*.f32 v u) |
v |
u |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(-.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) |
(*.f32 (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) |
(*.f32 (/.f32 v #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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) |
#s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)) |
#s(literal 1 binary32) |
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) |
(-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) |
#s(literal 4 binary32) |
(/.f32 #s(literal 8 binary32) v) |
#s(literal 8 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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) | |
| accuracy | 6.135908556287195 | (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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) | |
| accuracy | 6.565444021770455 | #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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| accuracy | 7.402869378488998 | #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v))) | |
| accuracy | 0.006191259768442017 | (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) | |
| accuracy | 0.01953125 | (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) | |
| accuracy | 0.049160009768442016 | (expm1.f32 (/.f32 #s(literal 2 binary32) v)) | |
| accuracy | 6.543988347511703 | #s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) | |
| accuracy | 0.078125 | (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v) | |
| accuracy | 0.15480217429718596 | (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) | |
| accuracy | 6.565444021770455 | #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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) | |
| accuracy | 7.305520721625366 | #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) | |
| accuracy | 0.01171875 | (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u) #s(literal 1 binary32)) | |
| accuracy | 0.0234375 | (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u) | |
| accuracy | 6.565444021770455 | #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)) #s(literal 2 binary32)) u) #s(literal 1 binary32))) | |
| accuracy | 7.714536260211834 | #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) | |
| accuracy | 0.0390625 | (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) | |
| accuracy | 0.04032003162065376 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 0.046684705917839735 | (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) | |
| accuracy | 0.06707001953688403 | (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)) |
| 71.0ms | 68× | 0 | valid |
| 69.0ms | 188× | 0 | exit |
Compiled 592 to 56 computations (90.5% saved)
ival-div: 61.0ms (50.9% of total)ival-mult: 19.0ms (15.8% of total)ival-add: 11.0ms (9.2% of total)ival-exp: 7.0ms (5.8% of total)ival-sub: 6.0ms (5% of total)ival-log: 5.0ms (4.2% of total)ival-expm1: 4.0ms (3.3% of total)const: 3.0ms (2.5% of total)ival-pow2: 3.0ms (2.5% of total)exact: 1.0ms (0.8% 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 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(-.f32 #s(literal 1 binary32) u) |
#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)) #s(literal 2 binary32)) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #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)) #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)) #s(literal 2 binary32)) |
(+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
(-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(*.f32 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
#s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) |
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) |
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
#s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v))) |
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)))))) |
1 |
(+ 1 (* -1 u)) |
(- (* 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)))) |
(* v (- (exp (/ 2 v)) 1)) |
(+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1))) |
(+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) |
(+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) |
(* u v) |
4/3 |
(+ 4/3 (* -4 u)) |
(/ (+ 2 (* 4/3 (/ 1 v))) v) |
(+ (* -4 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (/ 4/3 (pow 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)))))))))) |
(+ (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)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* -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)))) |
(* -1/2 (/ (* 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 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) |
(* u (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (/ 1 u))) |
(* -4 u) |
(* u (- (* 4/3 (/ 1 u)) 4)) |
(* -4 (/ u (pow v 2))) |
(* u (- (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v))) (* 4 (/ 1 (pow v 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))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)) u)) (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))))) |
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))))) |
(* -1 (* u (+ (* -1 (/ (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))) |
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)))) |
(* -1 (* u (- 4 (* 4/3 (/ 1 u))))) |
(* -1 (* u (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 2)))) u)) (* 4 (/ 1 (pow v 2)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(- (* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1))) 1) |
(* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1))) |
(* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1)) |
(/ (+ 4/3 (* -4 u)) (pow v 2)) |
(/ (+ 4/3 (+ (* -4 u) (* v (+ 2 (* -2 u))))) (pow v 2)) |
(/ (+ 4/3 (+ (* -4 u) (* v (+ 2 (+ (* -2 u) (* 2 v)))))) (pow v 2)) |
(/ (+ 4/3 (+ (* -4 u) (* 2 v))) (pow v 2)) |
(- (exp (/ 2 v)) 1) |
(exp (/ -4 v)) |
(/ -8 (pow v 2)) |
(/ (- (* 4 v) 8) (pow v 2)) |
(+ 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)))))) |
(* -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 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 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 |
(+ 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 (+ (* -4 (/ u (pow v 2))) (+ (* -2 (/ u v)) (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))))) |
(- (+ (* 2 u) (* 2 (/ u v))) 1) |
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1) |
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 1) |
(+ (* 2 u) (* 2 (/ u v))) |
(+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) |
(+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u 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))))) |
(/ 2 v) |
(/ (+ 2 (+ (* -4 (/ u v)) (* 4/3 (/ 1 v)))) 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))))) |
(/ 4 v) |
(/ (- 4 (* 8 (/ 1 v))) v) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
(* -1 (/ (+ (* -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 (/ (* 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)) |
(+ 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))) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* -4 u)) v)) (* 2 u)) 2) v))) |
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 1) |
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(* -1 (/ (- (* -1 (/ (+ 4/3 (* -4 u)) v)) 2) 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 (/ (- 4 (* 8 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) v))) |
(* -1 (/ (- (* 8 (/ 1 v)) 4) v)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | v | @ | 0 | ((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 1 (* 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) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 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) (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (* (* v u) (- (exp (/ 2 v)) 1)) (* v u) (+ (* (* 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)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (* -4 u) 4/3) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v) (- (exp (/ 2 v)) 1) (exp (/ -4 v)) (/ (- 4 (/ 8 v)) v)) |
| 9.0ms | u | @ | -inf | ((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 1 (* 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) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 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) (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (* (* v u) (- (exp (/ 2 v)) 1)) (* v u) (+ (* (* 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)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (* -4 u) 4/3) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v) (- (exp (/ 2 v)) 1) (exp (/ -4 v)) (/ (- 4 (/ 8 v)) v)) |
| 5.0ms | u | @ | inf | ((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 1 (* 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) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 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) (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (* (* v u) (- (exp (/ 2 v)) 1)) (* v u) (+ (* (* 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)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (* -4 u) 4/3) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v) (- (exp (/ 2 v)) 1) (exp (/ -4 v)) (/ (- 4 (/ 8 v)) v)) |
| 4.0ms | u | @ | 0 | ((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 1 (* 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) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 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) (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (* (* v u) (- (exp (/ 2 v)) 1)) (* v u) (+ (* (* 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)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (* -4 u) 4/3) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v) (- (exp (/ 2 v)) 1) (exp (/ -4 v)) (/ (- 4 (/ 8 v)) v)) |
| 3.0ms | v | @ | -inf | ((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 1 (* 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) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 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) (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (* (* v u) (- (exp (/ 2 v)) 1)) (* v u) (+ (* (* 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)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (* -4 u) 4/3) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v) (- (exp (/ 2 v)) 1) (exp (/ -4 v)) (/ (- 4 (/ 8 v)) v)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 650 | 3574 |
| 1 | 2155 | 3298 |
| 0 | 8472 | 2982 |
| 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) |
(/ -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)))))) |
1 |
(+ 1 (* -1 u)) |
(- (* 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)))) |
(* v (- (exp (/ 2 v)) 1)) |
(+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1))) |
(+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) |
(+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) |
(* u v) |
4/3 |
(+ 4/3 (* -4 u)) |
(/ (+ 2 (* 4/3 (/ 1 v))) v) |
(+ (* -4 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (/ 4/3 (pow 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)))))))))) |
(+ (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)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* -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)))) |
(* -1/2 (/ (* 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 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) |
(* u (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (/ 1 u))) |
(* -4 u) |
(* u (- (* 4/3 (/ 1 u)) 4)) |
(* -4 (/ u (pow v 2))) |
(* u (- (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v))) (* 4 (/ 1 (pow v 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))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)) u)) (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))))) |
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))))) |
(* -1 (* u (+ (* -1 (/ (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))) |
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)))) |
(* -1 (* u (- 4 (* 4/3 (/ 1 u))))) |
(* -1 (* u (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 2)))) u)) (* 4 (/ 1 (pow v 2)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(- (* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1))) 1) |
(* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1))) |
(* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1)) |
(/ (+ 4/3 (* -4 u)) (pow v 2)) |
(/ (+ 4/3 (+ (* -4 u) (* v (+ 2 (* -2 u))))) (pow v 2)) |
(/ (+ 4/3 (+ (* -4 u) (* v (+ 2 (+ (* -2 u) (* 2 v)))))) (pow v 2)) |
(/ (+ 4/3 (+ (* -4 u) (* 2 v))) (pow v 2)) |
(- (exp (/ 2 v)) 1) |
(exp (/ -4 v)) |
(/ -8 (pow v 2)) |
(/ (- (* 4 v) 8) (pow v 2)) |
(+ 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)))))) |
(* -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 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 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 |
(+ 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 (+ (* -4 (/ u (pow v 2))) (+ (* -2 (/ u v)) (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))))) |
(- (+ (* 2 u) (* 2 (/ u v))) 1) |
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1) |
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 1) |
(+ (* 2 u) (* 2 (/ u v))) |
(+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) |
(+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u 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))))) |
(/ 2 v) |
(/ (+ 2 (+ (* -4 (/ u v)) (* 4/3 (/ 1 v)))) 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))))) |
(/ 4 v) |
(/ (- 4 (* 8 (/ 1 v))) v) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
(* -1 (/ (+ (* -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 (/ (* 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)) |
(+ 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))) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* -4 u)) v)) (* 2 u)) 2) v))) |
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 1) |
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(* -1 (/ (- (* -1 (/ (+ 4/3 (* -4 u)) v)) 2) 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 (/ (- 4 (* 8 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) v))) |
(* -1 (/ (- (* 8 (/ 1 v)) 4) v)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(-.f32 (*.f32 (*.f32 v u) (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 #s(literal -1/2 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 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 #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 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #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))) |
(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 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 u (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #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))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (*.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 -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 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 1) |
(-.f32 (*.f32 (*.f32 v u) (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 (*.f32 v u) (/.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 v u) (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 (*.f32 v u) (/.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)) |
(*.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 (*.f32 v u) (/.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)) |
(+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) |
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) |
(fma.f32 (neg.f32 u) (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32))) |
(* u v) |
(*.f32 v u) |
4/3 |
#s(literal 4/3 binary32) |
(+ 4/3 (* -4 u)) |
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) |
(/ (+ 2 (* 4/3 (/ 1 v))) v) |
(/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) |
(+ (* -4 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) |
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #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)))))))) |
(fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
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(- (+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1) |
(-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u)) (neg.f32 v))) #s(literal 1 binary32)) |
(- (+ (* -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) |
(-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32)) |
(+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) |
(fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v) (*.f32 #s(literal 2 binary32) u)) |
(+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) |
(fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u)) (neg.f32 v))) |
(+ (* -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)) |
(fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v))) |
(+ 2 (* -1 (/ (- (* 2 u) 2) v))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v)) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))) v)) (* 2 u)) 2) v))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) 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))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* -4 u)) v)) (* 2 u)) 2) v))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v)) |
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 1) |
(-.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 1 binary32)) |
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 1) |
(-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 v))) #s(literal 1 binary32)) |
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) |
(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))) |
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) |
(fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) 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)) |
(* -1 (/ (- (* -1 (/ (+ 4/3 (* -4 u)) v)) 2) v)) |
(/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) |
(/.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)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v)) |
(/.f32 (-.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)) |
(+ 1 (* -1 (/ (- 4 (* 8 (/ 1 v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)) |
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v)) v)) |
(* -1 (/ (- (* 8 (/ 1 v)) 4) v)) |
(/.f32 (-.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) (neg.f32 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 624 |
| 0 | 116 | 616 |
| 1 | 445 | 596 |
| 2 | 3198 | 596 |
| 0 | 10240 | 584 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(-.f32 #s(literal 1 binary32) u) |
#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)) #s(literal 2 binary32)) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #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)) #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)) #s(literal 2 binary32)) |
(+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
(-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(*.f32 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
#s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) |
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) |
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
#s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v))) |
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) |
| Outputs |
|---|
(/.f32 (fma.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 3 binary32)) (+.f32 (-.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))) (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) (log.f32 (pow.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))) (*.f32 (+.f32 (-.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))) (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 #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))) (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 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) 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)) #s(literal 1 binary32)) (*.f32 (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) 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)) #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 (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) 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)) #s(literal 1 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) 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)) #s(literal 1 binary32)))) |
(/.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) (neg.f32 v))) #s(literal 3 binary32))) (+.f32 #s(literal 1 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)) (log.f32 (pow.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)))))) |
(/.f32 (neg.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))) (neg.f32 (-.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 (neg.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)))) (neg.f32 (-.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 (neg.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 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (-.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))) (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 (neg.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 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) 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)) #s(literal 1 binary32)))) |
(/.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 #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 (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)) #s(literal 1 binary32)) (+.f32 (-.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))) (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)))) |
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(/.f32 (fma.f32 #s(literal 2 binary32) v (*.f32 (neg.f32 (neg.f32 v)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) (*.f32 (neg.f32 (neg.f32 v)) v)) |
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 v v) (*.f32 (neg.f32 (neg.f32 v)) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)))) (*.f32 (neg.f32 (neg.f32 v)) (*.f32 v v))) |
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 v) (*.f32 v (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)))) (*.f32 v (neg.f32 v))) |
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (neg.f32 v) v) (*.f32 v (neg.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))))) (*.f32 v (*.f32 (neg.f32 v) v))) |
(/.f32 (fma.f32 #s(literal 2 binary32) v (*.f32 v (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) (*.f32 v v)) |
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 v v) (*.f32 v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)))) (pow.f32 v #s(literal 3 binary32))) |
(/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 v) (*.f32 (neg.f32 v) (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)))) (*.f32 v v)) |
(/.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (neg.f32 v) v) (*.f32 (neg.f32 v) (neg.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))))) (*.f32 (neg.f32 v) (*.f32 (neg.f32 v) v))) |
(/.f32 (fma.f32 #s(literal -2 binary32) v (*.f32 (neg.f32 v) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) (*.f32 (neg.f32 v) v)) |
(/.f32 (fma.f32 #s(literal -2 binary32) (*.f32 v v) (*.f32 (neg.f32 v) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)))) (pow.f32 (neg.f32 v) #s(literal 3 binary32))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) v) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)) |
(/.f32 (+.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) v) #s(literal 3 binary32)) (/.f32 #s(literal 8 binary32) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) v) (/.f32 #s(literal 2 binary32) v))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)))) (neg.f32 (neg.f32 v))) |
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) v (*.f32 v #s(literal 2 binary32))) (*.f32 v v)) |
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (neg.f32 v) (*.f32 v #s(literal -2 binary32))) (*.f32 v (neg.f32 v))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)) |
(/.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 3 binary32)) #s(literal 8 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32))) v)) |
(/.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32))) (neg.f32 v)) |
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v) |
(+.f32 (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) v) (/.f32 #s(literal 2 binary32) v)) |
(+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) v)) |
(neg.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32))) v)) |
(neg.f32 (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 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))) |
#s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v))) |
(*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)) |
(/.f32 (-.f32 #s(literal -4 binary32) (neg.f32 (/.f32 #s(literal 8 binary32) v))) (neg.f32 v)) |
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)))) (neg.f32 v)) |
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v))) v) |
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 8 binary32) v) v) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 4 binary32) v) (/.f32 (/.f32 #s(literal 8 binary32) v) v))) |
(/.f32 (-.f32 (/.f32 #s(literal 64 binary32) (pow.f32 v #s(literal 3 binary32))) (pow.f32 (/.f32 (/.f32 #s(literal 8 binary32) v) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 8 binary32) v) v) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 4 binary32) v) (/.f32 (/.f32 #s(literal 8 binary32) v) v))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)))) (neg.f32 (neg.f32 v))) |
(/.f32 (-.f32 (*.f32 #s(literal 4 binary32) v) (*.f32 v (/.f32 #s(literal 8 binary32) v))) (*.f32 v v)) |
(/.f32 (-.f32 #s(literal 16 binary32) (pow.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 2 binary32))) (*.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) |
(/.f32 (-.f32 #s(literal 64 binary32) (pow.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 3 binary32))) (*.f32 (fma.f32 (/.f32 #s(literal 8 binary32) v) (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) #s(literal 16 binary32)) v)) |
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v))) (neg.f32 v)) |
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) |
(-.f32 (/.f32 #s(literal 4 binary32) v) (/.f32 (/.f32 #s(literal 8 binary32) v) v)) |
(neg.f32 (/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v))) v)) |
(neg.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) (neg.f32 v))) |
Compiled 44 582 to 3 880 computations (91.3% saved)
51 alts after pruning (41 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 612 | 14 | 626 |
| Fresh | 8 | 27 | 35 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 622 | 51 | 673 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (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)) | |
| 99.4% | (fma.f32 (-.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 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (*.f32 u u)))) v #s(literal 1 binary32)) | |
| ✓ | 99.5% | (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
| 96.1% | (fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) | |
| 99.5% | (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) | |
| ✓ | 99.6% | (fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32)) |
| 99.2% | (/.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))) | |
| 99.4% | (+.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 #s(literal 1 binary32) (+.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32)))) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32)))))) | |
| 99.4% | (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (log.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32)))) (log.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (*.f32 u u)))) v)) | |
| ✓ | 99.5% | (+.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)) |
| ✓ | 99.5% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| ✓ | 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))) |
| 11.5% | (+.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 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v) #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))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))))) | |
| 11.5% | (+.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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #s(literal 2 binary32)) v))))) | |
| 12.0% | (+.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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #s(literal 2 binary32)) v))))) | |
| 12.0% | (+.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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)))))) | |
| 10.2% | (+.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 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 #s(literal 2 binary32) u) v)) u))))) | |
| 99.2% | (+.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))))) | |
| ✓ | 10.7% | (+.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)))) |
| 12.1% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))) #s(literal 2 binary32)))) | |
| 11.6% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 v)))) #s(literal 2 binary32)))) | |
| 14.6% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 binary32)))) | |
| 10.7% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u)))) | |
| 7.8% | #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) | |
| ✓ | 10.7% | #s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
| 11.6% | #s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 v)))) #s(literal 1 binary32))) | |
| 14.6% | #s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))) | |
| 10.7% | #s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) #s(approx (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (*.f32 (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal 1 binary32) u)) u))) | |
| 94.4% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) v) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)))) | |
| 12.4% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) | |
| 11.2% | #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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| 11.2% | #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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) v)) u) #s(literal 1 binary32))) | |
| 12.0% | #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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) v)) u) #s(literal 1 binary32))) | |
| 5.8% | #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))) | |
| 14.8% | #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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 binary32))) | |
| 12.0% | #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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) | |
| 11.1% | #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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32))) | |
| 12.4% | #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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) | |
| 7.8% | #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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #s(literal 2 binary32))) u) #s(literal 1 binary32))) | |
| 12.0% | #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32))) | |
| 12.1% | #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)))) u) #s(literal 1 binary32))) | |
| ✓ | 7.8% | #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)) #s(literal 2 binary32)) u) #s(literal 1 binary32))) |
| 11.1% | #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 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32))) | |
| 9.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) | |
| 11.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32))))) | |
| 11.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 1 binary32))))) | |
| 5.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (*.f32 (fma.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 (fma.f32 (neg.f32 v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u))) (*.f32 u u)))) | |
| ✓ | 87.2% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
| ✓ | 6.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 6 241 to 2 290 computations (63.3% 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v))))) |
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
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#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 #s(literal 1 binary32) (+.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32)))) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32)))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) v) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 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))) #s(literal 3 binary32)) (pow.f32 (/.f32 (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))) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 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))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (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))) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 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 (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)))))))))) |
| Outputs |
|---|
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32)) |
4 calls:
| 24.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 24.0ms | u |
| 18.0ms | v |
| 16.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 99.6% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 99.6% | 1 | u |
| 99.6% | 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v))))) |
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.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) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #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 (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (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)))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) #s(approx (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (*.f32 (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal 1 binary32) u)) u))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u)))) |
(+.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(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))) |
(+.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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #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 (/.f32 #s(literal 2 binary32) u) v)) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 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))) (-.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) #s(approx (exp (/ -2 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)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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)))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32))))) |
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.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)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) |
(fma.f32 (log.f32 (+.f32 (*.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 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (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 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 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))))))) |
4 calls:
| 18.0ms | v |
| 18.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 14.0ms | u |
| 14.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 99.5% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 99.5% | 1 | u |
| 99.5% | 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v))))) |
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.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) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #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 (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (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)))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) #s(approx (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (*.f32 (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal 1 binary32) u)) u))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u)))) |
(+.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(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))) |
(+.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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #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 (/.f32 #s(literal 2 binary32) u) v)) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 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))) (-.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) #s(approx (exp (/ -2 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)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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)))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32))))) |
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.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)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) |
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) |
| Outputs |
|---|
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) |
4 calls:
| 15.0ms | v |
| 13.0ms | u |
| 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 | (+.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 |
|---|---|---|
| 99.5% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 99.5% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 99.5% | 1 | u |
| 99.5% | 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v))))) |
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.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) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #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 (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (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)))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) #s(approx (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (*.f32 (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal 1 binary32) u)) u))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u)))) |
(+.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(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))) |
(+.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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #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 (/.f32 #s(literal 2 binary32) u) v)) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 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))) (-.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) #s(approx (exp (/ -2 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)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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)))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32))))) |
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.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)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) |
| 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:
| 16.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 13.0ms | v |
| 13.0ms | u |
| 11.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 99.5% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 99.5% | 1 | u |
| 99.5% | 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v))))) |
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.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) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #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 (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (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)))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) #s(approx (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (*.f32 (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal 1 binary32) u)) u))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u)))) |
(+.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(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))) |
(+.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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #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 (/.f32 #s(literal 2 binary32) u) v)) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 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))) (-.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) #s(approx (exp (/ -2 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)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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)))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32))))) |
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
| Outputs |
|---|
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
4 calls:
| 14.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 12.0ms | u |
| 12.0ms | 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 |
|---|---|---|
| 96.1% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 96.1% | 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))))))) |
| 96.1% | 1 | u |
| 96.1% | 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v))))) |
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.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) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #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 (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (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)))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) #s(approx (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (*.f32 (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal 1 binary32) u)) u))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u)))) |
(+.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(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))) |
(+.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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #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 (/.f32 #s(literal 2 binary32) u) v)) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 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))) (-.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) #s(approx (exp (/ -2 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)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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)))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32))))) |
| Outputs |
|---|
#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(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32))))) |
4 calls:
| 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))))))) |
| 12.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 11.0ms | u |
| 11.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 91.9% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 87.2% | 1 | u |
| 91.9% | 2 | 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v))))) |
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.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) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #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 (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (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)))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) #s(approx (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (*.f32 (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal 1 binary32) u)) u))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u)))) |
(+.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(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))) |
(+.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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #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 (/.f32 #s(literal 2 binary32) u) v)) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 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))) (-.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) #s(approx (exp (/ -2 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)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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)))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))) |
| Outputs |
|---|
#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(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 1 binary32))))) |
3 calls:
| 21.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 11.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 11.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 91.9% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 91.9% | 2 | 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v))))) |
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32))) |
| Outputs |
|---|
#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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32))) |
3 calls:
| 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 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 91.9% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 91.9% | 2 | 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v))))) |
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
3 calls:
| 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))))))) |
| 7.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 7.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 91.6% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 91.6% | 2 | 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v))))) |
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #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))))))) #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 |
|---|---|---|
| 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v))))) |
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 binary32))) |
| Outputs |
|---|
#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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 binary32))) |
3 calls:
| 3.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 3.0ms | v |
| 3.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 91.2% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 91.2% | 2 | 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v))))) |
(+.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))))) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
3 calls:
| 3.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 3.0ms | v |
| 3.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.1% | 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))))))) |
| 91.1% | 2 | 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
| Outputs |
|---|
#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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u) #s(literal 1 binary32))) |
3 calls:
| 2.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 2.0ms | v |
| 2.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 90.6% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 90.6% | 2 | 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)) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
3 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 | 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 |
|---|---|---|
| 87.2% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 87.2% | 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))))))) |
| 87.2% | 1 | 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 |
|---|---|---|
| 6.1% | 1 | u |
| 6.1% | 1 | v |
| 6.1% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 6.1% | 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))))))) |
Compiled 30 to 27 computations (10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.018206577748060226 | 0.16978955268859863 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.018206577748060226 | 0.16978955268859863 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.018206577748060226 | 0.16978955268859863 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.09010434150695801 | 0.12505120038986206 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.09010434150695801 | 0.12505120038986206 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.16978955268859863 | 0.1833341270685196 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.16978955268859863 | 0.1833341270685196 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.16978955268859863 | 0.1833341270685196 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 882 |
| 1 | 268 | 868 |
| 2 | 499 | 863 |
| 3 | 1214 | 863 |
| 4 | 4484 | 863 |
| 1× | node limit |
| Inputs |
|---|
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(if (<=.f32 v #s(literal 5368709/268435456 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(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32)))))) |
(if (<=.f32 v #s(literal 5368709/268435456 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(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 1 binary32)))))) |
(if (<=.f32 v #s(literal 5368709/268435456 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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #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 -13421773/268435456 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) 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 -13421773/268435456 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #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))))))) #s(literal 1 binary32))) |
(if (<=.f32 v #s(literal 3019899/16777216 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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 binary32)))) |
(if (<=.f32 v #s(literal 3019899/16777216 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))) |
(if (<=.f32 v #s(literal 3019899/16777216 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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u) #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 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(if (<=.f32 v #s(literal 5368709/268435456 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(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32)))))) |
(if (<=.f32 v #s(literal 5368709/268435456 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(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 1 binary32)))))) |
(if (<=.f32 v #s(literal 5368709/268435456 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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32)))) |
(if (<=.f32 v #s(literal 5368709/268435456 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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (+.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) (neg.f32 #s(literal 1/2 binary32))) #s(literal 2/3 binary32)) v)) #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #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 -13421773/268435456 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) 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 -13421773/268435456 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #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))))))) #s(literal 1 binary32))) |
(if (<=.f32 v #s(literal 3019899/16777216 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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 binary32)))) |
(if (<=.f32 v #s(literal 3019899/16777216 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))) |
(if (<=.f32 v #s(literal 3019899/16777216 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))))))) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))) |
(if (<=.f32 v #s(literal 3019899/16777216 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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u) #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 | 700 | 4288 |
| 1 | 2310 | 4002 |
| 0 | 8409 | 3707 |
| 0 | 48 | 377 |
| 0 | 80 | 368 |
| 1 | 312 | 364 |
| 2 | 2136 | 364 |
| 0 | 8892 | 355 |
| 0 | 614 | 4057 |
| 1 | 2018 | 3757 |
| 2 | 7801 | 3681 |
| 0 | 8314 | 3285 |
| 0 | 337 | 2667 |
| 1 | 1090 | 2450 |
| 2 | 4482 | 2387 |
| 0 | 8293 | 2134 |
| 0 | 650 | 3574 |
| 1 | 2155 | 3298 |
| 0 | 8472 | 2982 |
| 0 | 75 | 624 |
| 0 | 116 | 616 |
| 1 | 445 | 596 |
| 2 | 3198 | 596 |
| 0 | 10240 | 584 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 881 to 179 computations (79.7% saved)
Compiled 1 792 to 382 computations (78.7% saved)
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