
Time bar (total: 7.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 4 |
| 37.5% | 0.3% | 0.5% | 99.1% | 0% | 0% | 0% | 5 |
| 43.7% | 0.4% | 0.5% | 99.1% | 0% | 0% | 0% | 6 |
| 65.6% | 0.6% | 0.3% | 99.1% | 0% | 0% | 0% | 7 |
| 70.3% | 0.6% | 0.3% | 99.1% | 0% | 0% | 0% | 8 |
| 82% | 0.7% | 0.2% | 99.1% | 0% | 0% | 0% | 9 |
| 84.8% | 0.7% | 0.1% | 99.1% | 0% | 0% | 0% | 10 |
| 90.8% | 0.8% | 0.1% | 99.1% | 0% | 0% | 0% | 11 |
| 92.3% | 0.8% | 0.1% | 99.1% | 0% | 0% | 0% | 12 |
Compiled 31 to 23 computations (25.8% saved)
| 1.7s | 8 256× | 0 | valid |
const: 370.0ms (27.4% of total)ival-mult: 229.0ms (16.9% of total)ival-exp: 187.0ms (13.8% of total)ival-log: 152.0ms (11.2% of total)ival-<=: 129.0ms (9.5% of total)ival-add: 99.0ms (7.3% of total)ival-div: 88.0ms (6.5% of total)ival-sub: 55.0ms (4.1% of total)ival-and: 25.0ms (1.8% of total)exact: 13.0ms (1% of total)adjust: 3.0ms (0.2% of total)ival-assert: 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 | 4 | (0.00023626856273040175 0.0039528789930045605) | 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 | 4 | 4 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 1 |
| - | 4 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 1 | 0 |
| - | 4 | 5 | 246 |
| number | freq |
|---|---|
| 0 | 252 |
| 1 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 46.0ms | 512× | 0 | valid |
Compiled 161 to 40 computations (75.2% saved)
ival-add: 7.0ms (22.9% of total)ival-mult: 6.0ms (19.6% of total)ival-log: 5.0ms (16.3% of total)ival-div: 4.0ms (13.1% of total)ival-exp: 4.0ms (13.1% of total)ival-sub: 3.0ms (9.8% of total)exact: 1.0ms (3.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 83 |
| 1 | 81 | 80 |
| 2 | 196 | 79 |
| 3 | 578 | 79 |
| 4 | 1868 | 79 |
| 0 | 12 | 15 |
| 0 | 20 | 15 |
| 1 | 35 | 15 |
| 2 | 71 | 15 |
| 3 | 181 | 15 |
| 4 | 512 | 15 |
| 5 | 2769 | 15 |
| 6 | 7834 | 15 |
| 0 | 8054 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
Compiled 15 to 12 computations (20% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (+.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 | 0.030497480164287515 | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) | |
| accuracy | 0.04296875 | (+.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 | 0.10485753333832457 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 0.23828125 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 21.0ms | 256× | 0 | valid |
Compiled 73 to 14 computations (80.8% saved)
ival-mult: 3.0ms (22.3% of total)ival-log: 3.0ms (22.3% of total)ival-div: 2.0ms (14.9% of total)ival-add: 2.0ms (14.9% of total)ival-exp: 2.0ms (14.9% of total)ival-sub: 1.0ms (7.4% 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 | |
|---|---|---|---|---|
| 59.0ms | 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))) |
| 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))) |
| 2.0ms | 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))) |
| 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)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 277 | 17 | 294 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 278 | 17 | 295 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (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)) |
| ▶ | 99.7% | (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) (log.f32 (exp.f32 #s(literal 1 binary32))) #s(literal 1 binary32)) |
| 99.3% | (-.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32)) (-.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 #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)))) | |
| 99.7% | (+.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)) | |
| ▶ | 99.8% | (+.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)) |
| 99.8% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)))) | |
| 8.6% | (+.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))))) | |
| 12.8% | (+.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)))) | |
| ▶ | 8.6% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
| 99.6% | (*.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))) | |
| 6.7% | #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))) | |
| 12.8% | #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))) | |
| 3.2% | #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))) | |
| 3.0% | #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))) | |
| 8.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) | |
| 88.4% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) | |
| ▶ | 4.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 990 to 644 computations (34.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) | |
| cost-diff | 1 | (exp.f32 #s(literal 1 binary32)) | |
| cost-diff | 1 | (log.f32 (exp.f32 #s(literal 1 binary32))) | |
| cost-diff | 1 | (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) (log.f32 (exp.f32 #s(literal 1 binary32))) #s(literal 1 binary32)) | |
| cost-diff | 0 | (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) | |
| cost-diff | 0 | (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) | |
| cost-diff | 0 | (*.f32 (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 | (*.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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) | |
| cost-diff | 0 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| cost-diff | 0 | (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) | |
| cost-diff | 0 | (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) | |
| cost-diff | 0 | (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 273 |
| 0 | 56 | 263 |
| 1 | 94 | 262 |
| 2 | 161 | 262 |
| 3 | 380 | 262 |
| 4 | 1139 | 262 |
| 0 | 8280 | 262 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(+.f32 #s(literal 1 binary32) #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) |
(+.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 |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) (log.f32 (exp.f32 #s(literal 1 binary32))) #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 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(log.f32 (exp.f32 #s(literal 1 binary32))) |
(exp.f32 #s(literal 1 binary32)) |
| Outputs |
|---|
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(+.f32 #s(literal 1 binary32) #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 u v)) #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 u v)) #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 u v)) #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 u v)) |
(*.f32 u v) |
u |
v |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
(+.f32 #s(literal 1 binary32) (*.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 |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) (log.f32 (exp.f32 #s(literal 1 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)) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) |
(log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v) |
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(log.f32 (exp.f32 #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(exp.f32 #s(literal 1 binary32)) |
(E.f32) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) (log.f32 (exp.f32 #s(literal 1 binary32))) #s(literal 1 binary32)) | |
| accuracy | 0.10485753333832457 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 1.0 | (log.f32 (exp.f32 #s(literal 1 binary32))) | |
| accuracy | 23.349460092004616 | (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) | |
| accuracy | 0.030497480164287515 | (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) | |
| accuracy | 0.04296875 | (+.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 | 0.10485753333832457 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 0.23828125 | (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) | |
| accuracy | 0.04296875 | (+.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 | 0.09933004310676657 | (expm1.f32 (/.f32 #s(literal 2 binary32) v)) | |
| accuracy | 0.13153513613116363 | (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) | |
| accuracy | 30.49965529188887 | #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 | 30.489565217142474 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) | |
| accuracy | 0.00390625 | (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) | |
| accuracy | 0.030497480164287515 | (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) | |
| accuracy | 0.037441259768442016 | (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) | |
| accuracy | 0.10485753333832457 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| 104.0ms | 169× | 1 | valid |
| 20.0ms | 87× | 0 | valid |
Compiled 270 to 32 computations (88.1% saved)
adjust: 21.0ms (23.4% of total)ival-log: 15.0ms (16.7% of total)ival-add: 14.0ms (15.6% of total)ival-mult: 13.0ms (14.5% of total)ival-pow: 10.0ms (11.1% of total)ival-div: 5.0ms (5.6% of total)ival-exp: 5.0ms (5.6% of total)ival-expm1: 4.0ms (4.5% of total)ival-sub: 3.0ms (3.3% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) #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))) |
(+.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) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) (log.f32 (exp.f32 #s(literal 1 binary32))) #s(literal 1 binary32)) |
(log.f32 (exp.f32 #s(literal 1 binary32))) |
(exp.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)) |
(expm1.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) |
(/ -2 v) |
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
-2 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 2) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(- (* u (+ (* 1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2)))))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* 1/6 (* u (+ (* -6 (* v (* (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (+ (* 2 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* 1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (* 1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3)))))))))) (* 1/2 (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))))))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* 1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2)))))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(- (* u (+ (* u (+ (* 1/6 (* u (+ (* -6 (* v (* (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (+ (* 2 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* 1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (* 1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3)))))))))) (* 1/2 (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))))))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 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)))) |
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | v | @ | 0 | ((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ 1 (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (+ (* (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) v)) (log (exp 1))) 1) (log (exp 1)) (exp 1) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) v)) (- (exp (/ 2 v)) 1)) |
| 7.0ms | u | @ | inf | ((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ 1 (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (+ (* (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) v)) (log (exp 1))) 1) (log (exp 1)) (exp 1) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) v)) (- (exp (/ 2 v)) 1)) |
| 4.0ms | u | @ | -inf | ((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ 1 (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (+ (* (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) v)) (log (exp 1))) 1) (log (exp 1)) (exp 1) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) v)) (- (exp (/ 2 v)) 1)) |
| 4.0ms | u | @ | 0 | ((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ 1 (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (+ (* (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) v)) (log (exp 1))) 1) (log (exp 1)) (exp 1) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) v)) (- (exp (/ 2 v)) 1)) |
| 4.0ms | v | @ | inf | ((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ 1 (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (+ (* (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) v)) (log (exp 1))) 1) (log (exp 1)) (exp 1) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) v)) (- (exp (/ 2 v)) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 634 | 6763 |
| 1 | 2241 | 6002 |
| 0 | 8211 | 5470 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
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(/ -2 v) |
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(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
-2 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2) |
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(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* v (* (exp (/ -2 v)) (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2)))))) (- (exp (/ -2 v)) 1))) (+ (* 2 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (- (exp (/ -2 v)) 1) 3))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 3)) (pow (- (exp (/ -2 v)) 1) 3))) (+ (* 1/6 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (- (exp (/ -2 v)) 1) 3))) (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (pow (- (exp (/ -2 v)) 1) 3)))))))) u)) (* 1/2 (+ (* -1 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* 2 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2)))))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* 2 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2)))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* v (* (exp (/ -2 v)) (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2)))))) (- (exp (/ -2 v)) 1))) (+ (* 2 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (- (exp (/ -2 v)) 1) 3))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 3)) (pow (- (exp (/ -2 v)) 1) 3))) (+ (* 1/6 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (- (exp (/ -2 v)) 1) 3))) (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (pow (- (exp (/ -2 v)) 1) 3)))))))) u)) (* 1/2 (+ (* -1 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* 2 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2)))))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
1 |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(+ 1 (* v (+ (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (* 1/2 (* v (+ (* -1 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 2)) (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 2))))))) |
(+ 1 (* v (+ (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (* v (+ (* 1/6 (* v (+ (* -3 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 3)) (+ (* 2 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 3)) (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 3))))) (* 1/2 (+ (* -1 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 2)) (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 2)))))))) |
(* v (+ (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (* 1/2 (* v (+ (* -1 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 2)) (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 2)))))) |
(* v (+ (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (* v (+ (* 1/6 (* v (+ (* -3 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 3)) (+ (* 2 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 3)) (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 3))))) (* 1/2 (+ (* -1 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 2)) (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 2))))))) |
(* v (+ (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (* v (+ (* 1/2 (+ (* -1 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 2)) (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 2))) (* v (+ (* 1/24 (* v (+ (* -6 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 4)) (+ (* -4 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 4)) (+ (* -3 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 4)) (+ (* 12 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 4)) (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 4))))))) (* 1/6 (+ (* -3 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 3)) (+ (* 2 (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 3)) (pow (log (+ u (* (exp (/ -2 v)) (- 1 u)))) 3)))))))))) |
(- (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 (/ 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 (- 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) (* 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 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))))))) (pow v 2)))))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (* 1/12 (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))))))) (pow v 2))))))) |
(+ (* -2 (- 1 u)) (+ (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))))))) (pow v 2))))) |
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (* 1/12 (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))))))) (pow v 2)))))) |
(/ 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 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))) |
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))) |
(- (+ (* -1 (/ (+ (* -2 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 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* -1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))))) 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)))) (* -1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) v))) v))) |
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 u v) (pow.f32 (-.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) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 u (*.f32 v (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) #s(literal 1/3 binary32) (*.f32 (*.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) |
(-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v)) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(-.f32 (*.f32 (fma.f32 (*.f32 u (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u) (/.f32 #s(literal 2 binary32) v)) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 u (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (*.f32 (/.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))) |
-2 |
#s(literal -2 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
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(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))))) 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 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal -1/4 binary32) (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) #s(literal -1/6 binary32))) (*.f32 (fma.f32 #s(literal -1/48 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))))) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/24 binary32) (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)))))))) #s(literal 6 binary32)))) v) #s(literal -1/6 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) #s(literal -1/6 binary32))) #s(literal 2 binary32) (*.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32))) (neg.f32 v))) 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 | 35 | 185 |
| 0 | 56 | 173 |
| 1 | 224 | 173 |
| 2 | 1321 | 173 |
| 0 | 8292 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) #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))) |
(+.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) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) (log.f32 (exp.f32 #s(literal 1 binary32))) #s(literal 1 binary32)) |
(log.f32 (exp.f32 #s(literal 1 binary32))) |
(exp.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)) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
| Outputs |
|---|
(*.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #s(literal 1 binary32)) |
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))))) (*.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))))) |
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))))) (+.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))))) |
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))))) (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))))) (-.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (neg.f32 v)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (*.f32 (neg.f32 (neg.f32 v)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) v) (*.f32 (neg.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) v))) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (neg.f32 v))) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (neg.f32 v))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (pow.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))) (log.f32 (pow.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v) #s(literal -1 binary32))))) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))) |
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(/.f32 (-.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 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 #s(literal 4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal 4 binary32) v)))) (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (-.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) |
(/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal 4 binary32) v))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) (neg.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) |
(/.f32 (expm1.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) |
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) |
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) |
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) |
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) |
(+.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) |
Compiled 37 279 to 2 730 computations (92.7% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 665 | 12 | 677 |
| Fresh | 7 | 5 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 673 | 21 | 694 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (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)) |
| 99.7% | (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) (log.f32 (E.f32)) #s(literal 1 binary32)) | |
| ▶ | 99.7% | (fma.f32 (log.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) v #s(literal 1 binary32)) |
| ▶ | 96.6% | (fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
| 8.6% | (fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v))) v #s(literal 1 binary32)) | |
| 99.3% | (-.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) | |
| 99.7% | (+.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)) | |
| ✓ | 99.8% | (+.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)) |
| ▶ | 99.8% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)))) |
| 12.8% | (+.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)))) | |
| ✓ | 8.6% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
| 10.7% | (+.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 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))) #s(literal 2 binary32)))) | |
| ▶ | 10.0% | (+.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)))) |
| 12.7% | (+.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)))) | |
| 99.6% | (*.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))) | |
| 6.7% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) | |
| 8.6% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) | |
| ▶ | 88.4% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
| 3.2% | #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))) | |
| 3.0% | #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))) | |
| ✓ | 4.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 1 224 to 793 computations (35.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) | |
| cost-diff | 0 | (log.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) | |
| cost-diff | 0 | (fma.f32 (log.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) v #s(literal 1 binary32)) | |
| cost-diff | 11 | (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) | |
| cost-diff | 0 | (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) | |
| cost-diff | 0 | #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) | |
| cost-diff | 0 | (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) | |
| cost-diff | 0 | (fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) | |
| cost-diff | 0 | (-.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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (+.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)))) | |
| cost-diff | 1 | (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) | |
| cost-diff | 0 | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) | |
| cost-diff | 0 | (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u) | |
| cost-diff | 0 | (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) | |
| cost-diff | 0 | (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u))) | |
| cost-diff | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 637 |
| 0 | 104 | 637 |
| 1 | 172 | 637 |
| 2 | 368 | 637 |
| 3 | 1092 | 598 |
| 4 | 4428 | 598 |
| 0 | 8070 | 579 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)))) |
#s(literal 1 binary32) |
(*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u))) |
v |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u) |
(-.f32 #s(literal 1 binary32) (*.f32 u u)) |
(*.f32 u u) |
u |
(/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(+.f32 u #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 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)) (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)))) |
#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(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)) |
#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)))) |
(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) |
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)) |
(-.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)) |
(*.f32 #s(literal -2 binary32) u) |
#s(literal -2 binary32) |
(/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v) |
(fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) |
#s(literal 2/3 binary32) |
(/.f32 u v) |
v |
(*.f32 #s(literal 4/3 binary32) u) |
#s(literal 4/3 binary32) |
(neg.f32 v) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) |
(neg.f32 u) |
u |
(expm1.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
#s(literal 1 binary32) |
(fma.f32 (log.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) v #s(literal 1 binary32)) |
(log.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) |
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(-.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(literal 2 binary32) |
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
(/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) |
(*.f32 u u) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)))) |
(fma.f32 (log.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u)) u)) v #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u))) |
(*.f32 (log.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u)) u)) v) |
v |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) |
(log.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u)) u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u) |
(fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u)) u) |
(-.f32 #s(literal 1 binary32) (*.f32 u u)) |
(*.f32 u u) |
u |
(/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(+.f32 u #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 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)) (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(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 (/.f32 u v) (-.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)))) (neg.f32 v)))) #s(literal 2 binary32))) #s(literal 1 binary32)) |
#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))) |
#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 (/.f32 u v) (-.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)))) (neg.f32 v)))) #s(literal 2 binary32))) |
(-.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(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (*.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)))) (neg.f32 v)))) #s(literal 2 binary32)) |
#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(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (*.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)))) (neg.f32 v)))) |
(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))) |
(fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (*.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)))) (neg.f32 v))) |
#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)) |
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (*.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)))) (neg.f32 v)) |
(-.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)) |
(-.f32 (*.f32 #s(literal -2 binary32) u) (*.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)))) |
(*.f32 #s(literal -2 binary32) u) |
#s(literal -2 binary32) |
(/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v) |
(*.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32))) |
(fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) |
(*.f32 u (-.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32))) |
#s(literal 2/3 binary32) |
(/.f32 u v) |
v |
(*.f32 #s(literal 4/3 binary32) u) |
#s(literal 4/3 binary32) |
(neg.f32 v) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) v #s(literal 1 binary32)) |
(log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) |
(log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) |
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) |
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) |
(*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) |
(*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) |
(neg.f32 u) |
u |
(expm1.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
#s(literal 1 binary32) |
(fma.f32 (log.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (/.f32 (fma.f32 (neg.f32 u) u (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) v #s(literal 1 binary32)) |
(log.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) |
(log.f32 (/.f32 (fma.f32 (neg.f32 u) u (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(/.f32 (fma.f32 (neg.f32 u) u (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) |
(/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) |
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(-.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(literal 2 binary32) |
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
(/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) |
(*.f32 u u) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.037441259768442016 | (fma.f32 (log.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) v #s(literal 1 binary32)) | |
| accuracy | 0.0390625 | (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) | |
| accuracy | 0.1015625 | (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) | |
| accuracy | 0.10485753333832457 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 0.01953125 | (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) | |
| accuracy | 0.030497480164287515 | (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) | |
| accuracy | 0.037441259768442016 | (fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) | |
| accuracy | 1.1288536297478289 | #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) | |
| accuracy | 0.34375 | (*.f32 #s(literal 4/3 binary32) u) | |
| accuracy | 0.3515625 | (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) | |
| accuracy | 10.040680706811079 | #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)))) | |
| accuracy | 30.49965529188887 | #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))) | |
| accuracy | 3.7056944678354746 | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) | |
| accuracy | 0.03869879138909577 | (-.f32 #s(literal 1 binary32) (*.f32 u u)) | |
| accuracy | 0.04296875 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)))) | |
| accuracy | 0.10485753333832457 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 0.23828125 | (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u))) |
| 126.0ms | 256× | 0 | valid |
Compiled 519 to 58 computations (88.8% saved)
ival-mult: 28.0ms (26.1% of total)ival-log: 25.0ms (23.3% of total)ival-div: 20.0ms (18.7% of total)ival-add: 11.0ms (10.3% of total)ival-sub: 7.0ms (6.5% of total)const: 6.0ms (5.6% of total)ival-expm1: 4.0ms (3.7% of total)ival-exp: 2.0ms (1.9% of total)ival-pow2: 2.0ms (1.9% of total)ival-neg: 2.0ms (1.9% 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 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)))) |
(*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u))) |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
(fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) |
(+.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)))) |
#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(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)) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(fma.f32 (log.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) v #s(literal 1 binary32)) |
(log.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) |
(/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.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 1 binary32) (*.f32 u u)) |
#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)))) |
(*.f32 #s(literal 4/3 binary32) u) |
(/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) |
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) |
| Outputs |
|---|
-1 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (- 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 (exp (/ -2 v))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (- 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 (exp (/ -2 v))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (- 1 (exp (/ -2 v))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (- 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 (exp (/ -2 v))))) |
(- (* 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) |
(* u (+ 4/3 (* 2/3 (/ 1 v)))) |
(- (* 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 (- (+ (* -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)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(+ (exp (/ -2 v)) (* u (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (- (+ 1 (+ (* -2 (exp (/ -2 v))) (* u (- (exp (/ -2 v)) (+ (/ 1 (exp (/ -2 v))) (/ (* (- (* -1 (exp (/ -2 v))) 1) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))))) (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (- (+ 1 (+ (* -2 (exp (/ -2 v))) (* u (- (+ (exp (/ -2 v)) (* -1 (* u (+ (/ 1 (exp (/ -2 v))) (+ (/ 1 (pow (exp (/ -2 v)) 2)) (/ (* (- (exp (/ -2 v)) (/ (* (- (* -1 (exp (/ -2 v))) 1) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))) (- (* -1 (exp (/ -2 v))) 1)) (exp (/ -2 v)))))))) (+ (/ 1 (exp (/ -2 v))) (/ (* (- (* -1 (exp (/ -2 v))) 1) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))))) (* -1 (exp (/ -2 v)))))) |
(- (* u (+ (* 1/2 (* u (* v (+ (* -1 (/ (pow (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (- (exp (/ -2 v)) (+ (/ 1 (exp (/ -2 v))) (/ (* (- (* -1 (exp (/ -2 v))) 1) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) (exp (/ -2 v)))))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* 1/6 (* u (* v (+ (* -6 (/ (* (- (exp (/ -2 v)) (+ (/ 1 (exp (/ -2 v))) (/ (* (- (* -1 (exp (/ -2 v))) 1) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (pow (exp (/ -2 v)) 2))) (+ (* -6 (/ (+ (/ 1 (exp (/ -2 v))) (+ (/ 1 (pow (exp (/ -2 v)) 2)) (/ (* (- (exp (/ -2 v)) (/ (* (- (* -1 (exp (/ -2 v))) 1) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))) (- (* -1 (exp (/ -2 v))) 1)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* 2 (/ (pow (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3)))))))) (* 1/2 (* v (+ (* -1 (/ (pow (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (- (exp (/ -2 v)) (+ (/ 1 (exp (/ -2 v))) (/ (* (- (* -1 (exp (/ -2 v))) 1) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) (exp (/ -2 v))))))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (- (+ (* 1/2 (* u (+ (* -1 (/ (pow (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (- (exp (/ -2 v)) (+ (/ 1 (exp (/ -2 v))) (/ (* (- (* -1 (exp (/ -2 v))) 1) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) (exp (/ -2 v))))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* u (+ (* 1/6 (* u (+ (* -6 (/ (* (- (exp (/ -2 v)) (+ (/ 1 (exp (/ -2 v))) (/ (* (- (* -1 (exp (/ -2 v))) 1) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (pow (exp (/ -2 v)) 2))) (+ (* -6 (/ (+ (/ 1 (exp (/ -2 v))) (+ (/ 1 (pow (exp (/ -2 v)) 2)) (/ (* (- (exp (/ -2 v)) (/ (* (- (* -1 (exp (/ -2 v))) 1) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))) (- (* -1 (exp (/ -2 v))) 1)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* 2 (/ (pow (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))))))) (* 1/2 (+ (* -1 (/ (pow (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (- (exp (/ -2 v)) (+ (/ 1 (exp (/ -2 v))) (/ (* (- (* -1 (exp (/ -2 v))) 1) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) (exp (/ -2 v)))))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(+ (exp (/ -2 v)) (* u (- (+ 1 (+ (* -2 (exp (/ -2 v))) (* u (- (exp (/ -2 v)) (/ (* (- (* -1 (exp (/ -2 v))) 1) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (- (+ 1 (+ (* -2 (exp (/ -2 v))) (* u (- (+ (exp (/ -2 v)) (* -1 (/ (* u (* (- (exp (/ -2 v)) (/ (* (- (* -1 (exp (/ -2 v))) 1) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))) (- (* -1 (exp (/ -2 v))) 1))) (exp (/ -2 v))))) (/ (* (- (* -1 (exp (/ -2 v))) 1) (- (+ 1 (* -2 (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) (* -1 (exp (/ -2 v)))))) |
1 |
(+ 1 (* -1 (pow u 2))) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(* 4/3 u) |
(/ (pow u 2) (exp (/ -2 v))) |
(* (pow u 2) (+ (* u (+ (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2)))) (/ 1 (exp (/ -2 v))))) |
(* (pow u 2) (+ (* u (+ (* -1 (/ (* u (* (+ (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2))) (- (* -1 (exp (/ -2 v))) 1))) (exp (/ -2 v)))) (+ (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2))))) (/ 1 (exp (/ -2 v))))) |
(* (pow u 2) (+ (* u (+ (* u (- (/ (* u (* (+ (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2))) (pow (- (* -1 (exp (/ -2 v))) 1) 2))) (pow (exp (/ -2 v)) 2)) (/ (* (+ (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2))) (- (* -1 (exp (/ -2 v))) 1)) (exp (/ -2 v))))) (+ (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2))))) (/ 1 (exp (/ -2 v))))) |
(pow (exp (/ -2 v)) 2) |
(+ (* -2 (* u (pow (exp (/ -2 v)) 2))) (pow (exp (/ -2 v)) 2)) |
(+ (* u (+ (* -2 (pow (exp (/ -2 v)) 2)) (* u (pow (exp (/ -2 v)) 2)))) (pow (exp (/ -2 v)) 2)) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) |
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) |
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u)))) |
(* u (- (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (/ 1 (- (* -1 (exp (/ -2 v))) 1)))) |
(* u (- (+ (* -2 (/ (pow (exp (/ -2 v)) 2) (* u (- (* -1 (exp (/ -2 v))) 1)))) (+ (/ (exp (/ -2 v)) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2))) (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)))) (+ (/ 1 (- (* -1 (exp (/ -2 v))) 1)) (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2)))))) |
(* u (- (+ (* -2 (/ (pow (exp (/ -2 v)) 2) (* u (- (* -1 (exp (/ -2 v))) 1)))) (+ (* -1 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (- (* -1 (exp (/ -2 v))) 1) 3)))) (+ (/ (exp (/ -2 v)) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2))) (+ (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)))))) (+ (/ 1 (- (* -1 (exp (/ -2 v))) 1)) (+ (/ (* (exp (/ -2 v)) (- (* -2 (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (pow (- (* -1 (exp (/ -2 v))) 1) 2)))) (* (pow u 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2))))))) |
(* u (- (+ (* -2 (/ (pow (exp (/ -2 v)) 2) (* u (- (* -1 (exp (/ -2 v))) 1)))) (+ (* -1 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (- (* -1 (exp (/ -2 v))) 1) 3)))) (+ (/ (exp (/ -2 v)) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2))) (+ (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (- (* -1 (exp (/ -2 v))) 1))) (+ (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (- (* -1 (exp (/ -2 v))) 1) 4)))))))) (+ (/ 1 (- (* -1 (exp (/ -2 v))) 1)) (+ (/ (* (exp (/ -2 v)) (- (* -2 (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (pow (- (* -1 (exp (/ -2 v))) 1) 2)))) (* (pow u 2) (- (* -1 (exp (/ -2 v))) 1))) (+ (/ (* (exp (/ -2 v)) (- (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (/ (* (exp (/ -2 v)) (- (* -2 (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (pow (- (* -1 (exp (/ -2 v))) 1) 2)))) (- (* -1 (exp (/ -2 v))) 1)))) (* (pow u 3) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2)))))))) |
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(/ (pow (- 1 u) 2) (- 1 (* 2 u))) |
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(- 1 (* 2 (/ 1 v))) |
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(* 2 u) |
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(pow (- 1 u) 2) |
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(- (+ u (+ (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u))) |
(+ 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 (/ (+ (* -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 (/ (+ (* -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 u) (* 2 (/ u v))) v)) |
(* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* -2 u) (* 4/3 (/ u v))) v))) v)) |
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(- (+ (* -1 (/ (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (/ (pow u 2) (- 1 (* 2 u)))) |
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) v)) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (/ (pow u 2) (- 1 (* 2 u)))) |
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* -2 (/ (* (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2)))) (- 1 u)) (- 1 (* 2 u)))) (+ (* 4/3 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 32/3 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))))) (+ (* 4/3 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (* (- 1 u) (- (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))))) (- 1 (* 2 u))))))) v)) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) v)) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (/ (pow u 2) (- 1 (* 2 u)))) |
(* -1 (* v (+ (* -1 (log (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))) (* -1 (/ (+ 1 (* -1 (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) (* 4 (/ (pow (- 1 u) 2) (* (- 1 (* 2 u)) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) (* 2 (/ (pow (- 1 u) 3) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))))) v))))) |
(* -1 (* v (+ (* -1 (log (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))) (* -1 (/ (+ 1 (+ (* -1 (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) (* 4 (/ (pow (- 1 u) 2) (* (- 1 (* 2 u)) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) (* 2 (/ (pow (- 1 u) 3) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))))) (* 1/2 (/ (+ (* -1 (/ (pow (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) 2) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 2))) (* 2 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) v)))) v))))) |
(* -1 (* v (+ (* -1 (log (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))) (* -1 (/ (+ 1 (+ (* -1 (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) (* 4 (/ (pow (- 1 u) 2) (* (- 1 (* 2 u)) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) (* 2 (/ (pow (- 1 u) 3) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))))) (* -1 (/ (+ (* -1/2 (+ (* -1 (/ (pow (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) 2) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 2))) (* 2 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) (* 1/6 (/ (+ (* -6 (/ (* (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 2))) (+ (* 2 (/ (pow (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) 3) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 3))) (* 6 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* -2 (/ (* (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2)))) (- 1 u)) (- 1 (* 2 u)))) (+ (* 4/3 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 32/3 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))))) (+ (* 4/3 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (* (- 1 u) (- (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))))) (- 1 (* 2 u))))))) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) v))) v)))) v))))) |
(+ (log (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))) (* -1 (/ (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) (* 4 (/ (pow (- 1 u) 2) (* (- 1 (* 2 u)) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) (* 2 (/ (pow (- 1 u) 3) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) v))) |
(+ (log (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))) (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (/ (pow (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) 2) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 2))) (* 2 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) v)) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) (* 4 (/ (pow (- 1 u) 2) (* (- 1 (* 2 u)) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))))) (* 2 (/ (pow (- 1 u) 3) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) v))) |
(+ (log (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 2))) (+ (* 2 (/ (pow (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) 3) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 3))) (* 6 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* -2 (/ (* (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2)))) (- 1 u)) (- 1 (* 2 u)))) (+ (* 4/3 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 32/3 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))))) (+ (* 4/3 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (* (- 1 u) (- (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))))) (- 1 (* 2 u))))))) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) v)) (* 1/2 (+ (* -1 (/ (pow (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) 2) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 2))) (* 2 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))))) v)) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) (* 4 (/ (pow (- 1 u) 2) (* (- 1 (* 2 u)) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))))) (* 2 (/ (pow (- 1 u) 3) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) v))) |
(+ (* -1 (/ (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) v)) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 32/3 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (+ (* 4/3 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (* (- 1 u) (- (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))))) (- 1 (* 2 u))))))) v)) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) v)) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(+ (* -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 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (* v (pow (- 1 (* 2 u)) 3)))) (* 2 (/ (* (pow u 2) (- 1 u)) (* v (pow (- 1 (* 2 u)) 2))))) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow u 2) (- 1 (* 2 u)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (* v (pow (- 1 (* 2 u)) 3)))) (+ (* -2 (/ (* (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2)))) (- 1 u)) (* v (- 1 (* 2 u))))) (* 4/3 (/ (* (pow u 2) (- 1 u)) (* v (pow (- 1 (* 2 u)) 2)))))) (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))))) v)) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow u 2) (- 1 (* 2 u)))) |
(+ (* -1 (/ (+ (* -8 (/ (pow (- 1 u) 2) v)) (* 4 (pow (- 1 u) 2))) v)) (pow (- 1 u) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -32/3 (/ (pow (- 1 u) 2) v)) (* 8 (pow (- 1 u) 2))) v)) (* 4 (pow (- 1 u) 2))) v)) (pow (- 1 u) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 124.0ms | v | @ | 0 | ((+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u))) (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)) (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (+ (* 2/3 (/ u v)) (* 4/3 u)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (* (neg u) (- (exp (/ -2 v)) 1)) (- (/ (pow (* (- 1 u) (exp (/ -2 v))) 2) (- (* (- 1 u) (exp (/ -2 v))) u)) (/ (* u u) (- (* (- 1 u) (exp (/ -2 v))) u))) (+ (* (log (- (/ (pow (* (- 1 u) (exp (/ -2 v))) 2) (- (* (- 1 u) (exp (/ -2 v))) u)) (/ (* u u) (- (* (- 1 u) (exp (/ -2 v))) u)))) v) 1) (log (- (/ (pow (* (- 1 u) (exp (/ -2 v))) 2) (- (* (- 1 u) (exp (/ -2 v))) u)) (/ (* u u) (- (* (- 1 u) (exp (/ -2 v))) u)))) (/ (pow (* (- 1 u) (exp (/ -2 v))) 2) (- (* (- 1 u) (exp (/ -2 v))) u)) (exp (/ -2 v)) (- 1 (* u u)) (* (* u v) (- (exp (/ 2 v)) 1)) (* 4/3 u) (/ (* u u) (- (* (- 1 u) (exp (/ -2 v))) u)) (pow (* (- 1 u) (exp (/ -2 v))) 2)) |
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| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1519 | 22771 |
| 1 | 5143 | 22652 |
| 0 | 8109 | 21832 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
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(/ (pow (- 1 u) 2) (- 1 (* 2 u))) |
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(- 1 (* 2 (/ 1 v))) |
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(* 2 u) |
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(/ (pow u 2) (- 1 (* 2 u))) |
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(pow (- 1 u) 2) |
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(* -1 (* v (+ (* -1 (log (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))) (* -1 (/ (+ 1 (+ (* -1 (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) (* 4 (/ (pow (- 1 u) 2) (* (- 1 (* 2 u)) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) (* 2 (/ (pow (- 1 u) 3) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))))) (* 1/2 (/ (+ (* -1 (/ (pow (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) 2) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 2))) (* 2 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) v)))) v))))) |
(* -1 (* v (+ (* -1 (log (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))) (* -1 (/ (+ 1 (+ (* -1 (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) (* 4 (/ (pow (- 1 u) 2) (* (- 1 (* 2 u)) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) (* 2 (/ (pow (- 1 u) 3) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))))) (* -1 (/ (+ (* -1/2 (+ (* -1 (/ (pow (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) 2) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 2))) (* 2 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) (* 1/6 (/ (+ (* -6 (/ (* (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 2))) (+ (* 2 (/ (pow (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) 3) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 3))) (* 6 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* -2 (/ (* (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2)))) (- 1 u)) (- 1 (* 2 u)))) (+ (* 4/3 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 32/3 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))))) (+ (* 4/3 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (* (- 1 u) (- (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))))) (- 1 (* 2 u))))))) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) v))) v)))) v))))) |
(+ (log (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))) (* -1 (/ (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) (* 4 (/ (pow (- 1 u) 2) (* (- 1 (* 2 u)) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) (* 2 (/ (pow (- 1 u) 3) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) v))) |
(+ (log (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))) (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (/ (pow (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) 2) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 2))) (* 2 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) v)) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) (* 4 (/ (pow (- 1 u) 2) (* (- 1 (* 2 u)) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))))) (* 2 (/ (pow (- 1 u) 3) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) v))) |
(+ (log (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 2))) (+ (* 2 (/ (pow (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) 3) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 3))) (* 6 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* -2 (/ (* (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2)))) (- 1 u)) (- 1 (* 2 u)))) (+ (* 4/3 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 32/3 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))))) (+ (* 4/3 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (* (- 1 u) (- (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))))) (- 1 (* 2 u))))))) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) v)) (* 1/2 (+ (* -1 (/ (pow (- (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) 2) (pow (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))) 2))) (* 2 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))))) v)) (+ (* 2 (/ (* (pow u 2) (- 1 u)) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))) (* 4 (/ (pow (- 1 u) 2) (* (- 1 (* 2 u)) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u))))))))) (* 2 (/ (pow (- 1 u) 3) (* (pow (- 1 (* 2 u)) 2) (- (/ (pow (- 1 u) 2) (- 1 (* 2 u))) (/ (pow u 2) (- 1 (* 2 u)))))))) v))) |
(+ (* -1 (/ (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) v)) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 32/3 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (+ (* 4/3 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (* (- 1 u) (- (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))))) (- 1 (* 2 u))))))) v)) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) v)) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(+ (* -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 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (* v (pow (- 1 (* 2 u)) 3)))) (* 2 (/ (* (pow u 2) (- 1 u)) (* v (pow (- 1 (* 2 u)) 2))))) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow u 2) (- 1 (* 2 u)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (* v (pow (- 1 (* 2 u)) 3)))) (+ (* -2 (/ (* (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2)))) (- 1 u)) (* v (- 1 (* 2 u))))) (* 4/3 (/ (* (pow u 2) (- 1 u)) (* v (pow (- 1 (* 2 u)) 2)))))) (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))))) v)) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow u 2) (- 1 (* 2 u)))) |
(+ (* -1 (/ (+ (* -8 (/ (pow (- 1 u) 2) v)) (* 4 (pow (- 1 u) 2))) v)) (pow (- 1 u) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -32/3 (/ (pow (- 1 u) 2) v)) (* 8 (pow (- 1 u) 2))) v)) (* 4 (pow (- 1 u) 2))) v)) (pow (- 1 u) 2)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (neg.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 1 binary32)) |
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-2 |
#s(literal -2 binary32) |
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1 |
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(* (pow u 2) (+ (* u (+ (* -1 (/ (* u (* (+ (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2))) (- (* -1 (exp (/ -2 v))) 1))) (exp (/ -2 v)))) (+ (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2))))) (/ 1 (exp (/ -2 v))))) |
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(pow (exp (/ -2 v)) 2) |
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(* u (+ 1 (* -1 (exp (/ -2 v))))) |
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(* u (- (+ (* -2 (/ (pow (exp (/ -2 v)) 2) (* u (- (* -1 (exp (/ -2 v))) 1)))) (+ (* -1 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (- (* -1 (exp (/ -2 v))) 1) 3)))) (+ (/ (exp (/ -2 v)) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2))) (+ (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)))))) (+ (/ 1 (- (* -1 (exp (/ -2 v))) 1)) (+ (/ (* (exp (/ -2 v)) (- (* -2 (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (pow (- (* -1 (exp (/ -2 v))) 1) 2)))) (* (pow u 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2))))))) |
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(* u (- (+ (* -2 (/ (pow (exp (/ -2 v)) 2) (* u (- (* -1 (exp (/ -2 v))) 1)))) (+ (* -1 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (- (* -1 (exp (/ -2 v))) 1) 3)))) (+ (/ (exp (/ -2 v)) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2))) (+ (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (- (* -1 (exp (/ -2 v))) 1))) (+ (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (- (* -1 (exp (/ -2 v))) 1) 4)))))))) (+ (/ 1 (- (* -1 (exp (/ -2 v))) 1)) (+ (/ (* (exp (/ -2 v)) (- (* -2 (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (pow (- (* -1 (exp (/ -2 v))) 1) 2)))) (* (pow u 2) (- (* -1 (exp (/ -2 v))) 1))) (+ (/ (* (exp (/ -2 v)) (- (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (/ (* (exp (/ -2 v)) (- (* -2 (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (pow (- (* -1 (exp (/ -2 v))) 1) 2)))) (- (* -1 (exp (/ -2 v))) 1)))) (* (pow u 3) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2)))))))) |
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#s(literal 2 binary32))) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))) #s(literal 2 binary32))))) u) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))) (pow.f32 (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (log.f32 (-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 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(/ (* u (pow (exp (/ -2 v)) 2)) (- (* -1 (exp (/ -2 v))) 1)) |
(/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) u) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32))) |
(* u (- (+ (* -2 (/ (pow (exp (/ -2 v)) 2) (* u (- (* -1 (exp (/ -2 v))) 1)))) (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) u) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (-.f32 (neg.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))) u) (pow.f32 (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) #s(literal 2 binary32)))) u) |
(* u (- (+ (* -2 (/ (pow (exp (/ -2 v)) 2) (* u (- (* -1 (exp (/ -2 v))) 1)))) (+ (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)))) (+ (/ (* (exp (/ -2 v)) (- (* -2 (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (pow (- (* -1 (exp (/ -2 v))) 1) 2)))) (* (pow u 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2)))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 #s(literal -2 binary32) u) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32))) (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 u u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) #s(literal -2 binary32)) (-.f32 (neg.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 3 binary32))) (pow.f32 (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 (neg.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))) u) (pow.f32 (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) #s(literal 2 binary32))))) u) |
(* u (- (+ (* -2 (/ (pow (exp (/ -2 v)) 2) (* u (- (* -1 (exp (/ -2 v))) 1)))) (+ (* -1 (/ (* (exp (/ -2 v)) (- (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (/ (* (exp (/ -2 v)) (- (* -2 (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (pow (- (* -1 (exp (/ -2 v))) 1) 2)))) (- (* -1 (exp (/ -2 v))) 1)))) (* (pow u 3) (- (* -1 (exp (/ -2 v))) 1)))) (+ (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1))))) (+ (/ (* (exp (/ -2 v)) (- (* -2 (/ (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (pow (- (* -1 (exp (/ -2 v))) 1) 2)))) (* (pow u 2) (- (* -1 (exp (/ -2 v))) 1))) (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2)))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 (neg.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))) u) (fma.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (pow.f32 u #s(literal 3 binary32)))) (/.f32 (-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) #s(literal -2 binary32)) (-.f32 (neg.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 3 binary32))) (pow.f32 (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32))))) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32))) (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 u u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32))))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) #s(literal -2 binary32)) (-.f32 (neg.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 3 binary32))) (pow.f32 (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 (neg.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))) u) (pow.f32 (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) #s(literal 2 binary32))))) u) |
(* -1 (pow u 2)) |
(*.f32 (neg.f32 u) u) |
(* (pow u 2) (- (/ 1 (pow u 2)) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 1 binary32)) (*.f32 u u)) |
(/ u (- (* -1 (exp (/ -2 v))) 1)) |
(/.f32 u (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32))) |
(* u (+ (* -1 (/ (exp (/ -2 v)) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2)))) (/ 1 (- (* -1 (exp (/ -2 v))) 1)))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (pow.f32 (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))) u) |
(* u (- (+ (/ 1 (- (* -1 (exp (/ -2 v))) 1)) (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (- (* -1 (exp (/ -2 v))) 1) 3)))) (/ (exp (/ -2 v)) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2))))) |
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 u u)) (pow.f32 (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (pow.f32 (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) #s(literal 2 binary32)))) u) |
(* u (- (+ (* -1 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (- (* -1 (exp (/ -2 v))) 1) 4)))) (/ 1 (- (* -1 (exp (/ -2 v))) 1))) (+ (* -1 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (- (* -1 (exp (/ -2 v))) 1) 3)))) (/ (exp (/ -2 v)) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2)))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 3 binary32)) (pow.f32 (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) #s(literal 4 binary32))) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))) (fma.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 u u)) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (pow.f32 (-.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) #s(literal 2 binary32))))) u) |
(* (pow u 2) (pow (exp (/ -2 v)) 2)) |
(*.f32 (*.f32 u u) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) |
(* (pow u 2) (+ (* -2 (/ (pow (exp (/ -2 v)) 2) u)) (pow (exp (/ -2 v)) 2))) |
(*.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) u) #s(literal -2 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (*.f32 u u)) |
(* (pow u 2) (+ (* -2 (/ (pow (exp (/ -2 v)) 2) u)) (+ (/ (pow (exp (/ -2 v)) 2) (pow u 2)) (pow (exp (/ -2 v)) 2)))) |
(*.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) u) #s(literal -2 binary32) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 u u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) (*.f32 u u)) |
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(fma.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal -1 binary32) (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) v #s(literal 1 binary32)) |
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+.f32 (fma.f32 (neg.f32 (/.f32 v u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal -1 binary32) (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) v)) #s(literal 1 binary32)) |
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+.f32 (fma.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal -1 binary32) (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) v (neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 v u) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (pow.f32 (expm1.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)) v) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) u))) #s(literal 1 binary32)) |
(+ 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))))))) |
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(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) |
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(+ (* -1 (/ (- (+ (* -1 (/ (- (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) v)) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 8 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u))) (*.f32 #s(literal -2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u))) #s(literal 4 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)))))) v) #s(literal -1 binary32) (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u))) #s(literal 4 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32))))) v) #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 32/3 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (+ (* 4/3 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (* (- 1 u) (- (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))))) (- 1 (* 2 u))))))) v)) (* 8 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (+ (* 2 (/ (* (- 1 u) (- (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) (- 1 (* 2 u)))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2))))) v)) (* 4 (/ (pow (- 1 u) 2) (- 1 (* 2 u))))) (* 2 (/ (pow (- 1 u) 3) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow (- 1 u) 2) (- 1 (* 2 u)))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 32/3 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u))) (/.f32 (*.f32 #s(literal -4/3 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)))) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u))) #s(literal 4 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 #s(literal 8 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u))) (*.f32 #s(literal -2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u))) #s(literal 4 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u))))) v) #s(literal -1 binary32) (fma.f32 #s(literal 8 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u))) (*.f32 #s(literal -2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u))) #s(literal 4 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32))))))) v) #s(literal -1 binary32) (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u))) #s(literal 4 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32))))) v) #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v) #s(literal -1 binary32) #s(literal 1 binary32)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v) #s(literal -1 binary32) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)) |
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) |
(fma.f32 #s(literal 2 binary32) u (neg.f32 (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))) |
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) |
(fma.f32 #s(literal 2 binary32) u (neg.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u (neg.f32 (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v))) v))) |
(+ (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (* v (pow (- 1 (* 2 u)) 3)))) (* 2 (/ (* (pow u 2) (- 1 u)) (* v (pow (- 1 (* 2 u)) 2))))) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow u 2) (- 1 (* 2 u)))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal -4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 u u)) v) (fma.f32 (/.f32 (*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)) v)) #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32))) #s(literal -2 binary32)))) v) #s(literal -1 binary32) (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (* v (pow (- 1 (* 2 u)) 3)))) (+ (* -2 (/ (* (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2)))) (- 1 u)) (* v (- 1 (* 2 u))))) (* 4/3 (/ (* (pow u 2) (- 1 u)) (* v (pow (- 1 (* 2 u)) 2)))))) (+ (* -4 (/ (* (pow u 2) (pow (- 1 u) 2)) (pow (- 1 (* 2 u)) 3))) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2))))) v)) (* 2 (/ (* (pow u 2) (- 1 u)) (pow (- 1 (* 2 u)) 2)))) v)) (/ (pow u 2) (- 1 (* 2 u)))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 #s(literal -4 binary32) v) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 u u)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 3 binary32))) (fma.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32))) #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 u u)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 3 binary32))) #s(literal -4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) v))) #s(literal -2 binary32) (*.f32 (/.f32 #s(literal 4/3 binary32) v) (/.f32 (*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)))))) (fma.f32 (/.f32 (*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32))) #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 u u)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 3 binary32))) #s(literal -4 binary32)))) v) #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32))) #s(literal -2 binary32))) v) #s(literal -1 binary32) (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u)))) |
(+ (* -1 (/ (+ (* -8 (/ (pow (- 1 u) 2) v)) (* 4 (pow (- 1 u) 2))) v)) (pow (- 1 u) 2)) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) v) #s(literal -8 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 4 binary32))) v) #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -32/3 (/ (pow (- 1 u) 2) v)) (* 8 (pow (- 1 u) 2))) v)) (* 4 (pow (- 1 u) 2))) v)) (pow (- 1 u) 2)) |
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 4 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) v) #s(literal -32/3 binary32) (*.f32 #s(literal 8 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v))) v) #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 490 |
| 0 | 104 | 427 |
| 1 | 419 | 390 |
| 2 | 3144 | 390 |
| 0 | 8532 | 369 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)))) |
(*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u))) |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
(fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) |
(+.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)))) |
#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(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)) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) |
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(fma.f32 (log.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) v #s(literal 1 binary32)) |
(log.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) |
(/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.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 1 binary32) (*.f32 u u)) |
#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)))) |
(*.f32 #s(literal 4/3 binary32) u) |
(/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) |
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) |
| Outputs |
|---|
(/.f32 (fma.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) #s(literal 1 binary32))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))))) |
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(/.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 6 binary32)) (pow.f32 u #s(literal 6 binary32))) (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 4 binary32)) (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32))))) |
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(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) |
(-.f32 (/.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 4 binary32)) (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32))) (/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) (/.f32 (pow.f32 (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) #s(literal 2 binary32)) (/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) |
(-.f32 (/.f32 (*.f32 u u) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(-.f32 (/.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 6 binary32)) (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 4 binary32)) (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32))))) (/.f32 (pow.f32 (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) #s(literal 3 binary32)) (fma.f32 (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 4 binary32)) (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32)))))) |
(-.f32 (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32))) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (*.f32 u u)) (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(-.f32 u (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 #s(literal 1 binary32) u))) |
(-.f32 u (*.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) |
(-.f32 u (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))))) |
(-.f32 u (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (neg.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u) |
(fma.f32 (fabs.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (-.f32 (*.f32 u u) #s(literal 1 binary32)))) (fabs.f32 (-.f32 u #s(literal 1 binary32))) u) |
(fma.f32 (fabs.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)))) (fabs.f32 (fma.f32 u u (-.f32 #s(literal 1 binary32) u))) u) |
(fma.f32 (fabs.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (fabs.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u) |
(fma.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) u)) (fabs.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
(fma.f32 (fabs.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)))) (fabs.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) u) |
(fma.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (fabs.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)))) u) |
(fma.f32 (sqrt.f32 (*.f32 #s(literal 1 binary32) (neg.f32 u))) (sqrt.f32 (neg.f32 u)) (*.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (sqrt.f32 (*.f32 #s(literal 1 binary32) (neg.f32 u))) (sqrt.f32 (neg.f32 u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (sqrt.f32 (neg.f32 (neg.f32 u))) (sqrt.f32 (neg.f32 (neg.f32 u))) (*.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (sqrt.f32 (neg.f32 (neg.f32 u))) (sqrt.f32 (neg.f32 (neg.f32 u))) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (sqrt.f32 (neg.f32 u)) (sqrt.f32 (neg.f32 u)) (*.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
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(fma.f32 (sqrt.f32 u) (sqrt.f32 u) (*.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (sqrt.f32 u) (sqrt.f32 u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) u))) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
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(fma.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (fma.f32 u u (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) u) |
(fma.f32 (pow.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 1 binary32)) u) |
(fma.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 1 binary32)) u) |
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 1 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) #s(literal 1 binary32)) u) |
(fma.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (-.f32 (*.f32 u u) #s(literal 1 binary32))) (-.f32 u #s(literal 1 binary32)) u) |
(fma.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) u)) u) |
(fma.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.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)))) (fma.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (*.f32 (neg.f32 u) (/.f32 u (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) |
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(fma.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) u) |
(fma.f32 (fabs.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (fabs.f32 (-.f32 #s(literal 1 binary32) u)) u) |
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (*.f32 (neg.f32 u) (/.f32 u (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) |
(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))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (*.f32 (neg.f32 u) (/.f32 u (-.f32 (*.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) |
(fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u)) u) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (log.f32 (-.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 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u) |
(fma.f32 u #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 u #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 #s(literal 1 binary32) u (*.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 #s(literal 1 binary32) u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(+.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (fma.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) (/.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))))) |
(+.f32 (/.f32 (pow.f32 u #s(literal 3 binary32)) (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))) (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (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)))) |
(+.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (*.f32 (neg.f32 u) (/.f32 u (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
(+.f32 u (*.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
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(*.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(*.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))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) (neg.f32 (neg.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) |
(/.f32 (neg.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (neg.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) |
(neg.f32 (/.f32 (neg.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(neg.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (neg.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) |
(*.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 (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 (-.f32 (*.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 (+.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))) |
(pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) |
(+.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 (/.f32 #s(literal -2 binary32) v) #s(literal 1 binary32))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) u))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32)))) (neg.f32 (fma.f32 u u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 6 binary32)))) (neg.f32 (+.f32 (fma.f32 u u (pow.f32 u #s(literal 4 binary32))) #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32))) (fma.f32 u u #s(literal 1 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 6 binary32))) (+.f32 (fma.f32 u u (pow.f32 u #s(literal 4 binary32))) #s(literal 1 binary32))) |
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u u #s(literal 1 binary32))) (/.f32 (pow.f32 u #s(literal 4 binary32)) (fma.f32 u u #s(literal 1 binary32)))) |
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u (pow.f32 u #s(literal 4 binary32))) #s(literal 1 binary32))) (/.f32 (pow.f32 u #s(literal 6 binary32)) (+.f32 (fma.f32 u u (pow.f32 u #s(literal 4 binary32))) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 u)) u)) |
(-.f32 #s(literal 1 binary32) (*.f32 u u)) |
(fma.f32 (neg.f32 (neg.f32 u)) (neg.f32 u) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 u) (neg.f32 (neg.f32 u)) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 u) u #s(literal 1 binary32)) |
(fma.f32 u (neg.f32 u) #s(literal 1 binary32)) |
(+.f32 (*.f32 (neg.f32 u) u) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) u)) |
#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 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 v)))) |
(*.f32 #s(literal 4/3 binary32) u) |
(*.f32 u #s(literal 4/3 binary32)) |
(sqrt.f32 (*.f32 #s(literal 16/9 binary32) (*.f32 u u))) |
(fabs.f32 (neg.f32 (*.f32 #s(literal 4/3 binary32) u))) |
(fabs.f32 (*.f32 #s(literal 4/3 binary32) u)) |
(*.f32 (/.f32 (*.f32 u u) (-.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)))) (fma.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) |
(*.f32 (/.f32 (*.f32 u u) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(*.f32 (/.f32 u (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) u) |
(*.f32 (neg.f32 u) (/.f32 (neg.f32 u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(*.f32 u (/.f32 u (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(/.f32 (*.f32 (neg.f32 u) u) (neg.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(/.f32 (*.f32 u u) (neg.f32 (neg.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) |
(/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) |
(neg.f32 (/.f32 (*.f32 (neg.f32 u) u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(*.f32 (neg.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(*.f32 (pow.f32 (*.f32 (*.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 u #s(literal 1 binary32)))) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 #s(literal 1 binary32) (*.f32 u u))) #s(literal 1 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(*.f32 (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (pow.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 2 binary32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) (pow.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (-.f32 (*.f32 u u) #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 u #s(literal 1 binary32)) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 u u (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 1 binary32)) (pow.f32 (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 1 binary32))) |
(*.f32 (*.f32 (*.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 u #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 u u))) |
(*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)))) |
(*.f32 (*.f32 (*.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 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) #s(literal 2 binary32))) |
(*.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 1 binary32))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 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)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 1 binary32))) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(/.f32 (*.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (*.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) (*.f32 u u)))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) #s(literal 2 binary32)) (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 2 binary32))) |
(pow.f32 (exp.f32 #s(literal 2 binary32)) (+.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -2 binary32) v))) |
(pow.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) #s(literal 1 binary32)) |
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) |
(fabs.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) |
(+.f32 (cosh.f32 (*.f32 (+.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (+.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) |
(exp.f32 (+.f32 (+.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -2 binary32) v)) (+.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -2 binary32) v)))) |
(exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)) (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) |
(exp.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32) (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) |
(exp.f32 (fma.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) |
(exp.f32 (fma.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32) (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (*.f32 (+.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (+.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) |
Compiled 46 910 to 3 859 computations (91.8% saved)
23 alts after pruning (16 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 607 | 5 | 612 |
| Fresh | 1 | 11 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 610 | 23 | 633 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (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)) |
| 99.7% | (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) (log.f32 (E.f32)) #s(literal 1 binary32)) | |
| ✓ | 99.7% | (fma.f32 (log.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) v #s(literal 1 binary32)) |
| ✓ | 96.6% | (fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
| 88.6% | (fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) #s(approx (* (neg u) (- (exp (/ -2 v)) 1)) (*.f32 (/.f32 u v) #s(literal 2 binary32))))) v #s(literal 1 binary32)) | |
| 8.6% | (fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v))) v #s(literal 1 binary32)) | |
| 99.3% | (-.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) | |
| 99.7% | (+.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)) | |
| ✓ | 99.8% | (+.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)) |
| ▶ | 12.8% | (+.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)))) |
| ✓ | 8.6% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
| 10.7% | (+.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 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))) #s(literal 2 binary32)))) | |
| 9.7% | (+.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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) v)) (neg.f32 v)))) #s(literal 2 binary32)))) | |
| ▶ | 10.0% | (+.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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32)))) |
| 12.7% | (+.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)))) | |
| 99.6% | (*.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))) | |
| ▶ | 6.7% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
| 8.6% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) | |
| ✓ | 88.4% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
| ▶ | 99.8% | #s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))) |
| ▶ | 3.2% | #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))) |
| 3.0% | #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))) | |
| ✓ | 4.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 1 377 to 904 computations (34.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | (-.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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 2 | (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))))) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (+.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)))) | |
| cost-diff | 1 | (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)) | |
| cost-diff | 2 | (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))) | |
| cost-diff | 0 | #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) | |
| cost-diff | 0 | (-.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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32)) | |
| cost-diff | 0 | #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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32))) | |
| cost-diff | 0 | (+.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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) | |
| cost-diff | 0 | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) | |
| cost-diff | 0 | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) | |
| cost-diff | 0 | (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u) | |
| cost-diff | 0 | (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) | |
| cost-diff | 0 | (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) | |
| cost-diff | 0 | #s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 965 |
| 0 | 157 | 965 |
| 1 | 277 | 963 |
| 2 | 637 | 940 |
| 3 | 2146 | 932 |
| 0 | 8313 | 914 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.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 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.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 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) (*.f32 u u)) |
#s(literal 1 binary32) |
(*.f32 u u) |
u |
(+.f32 #s(literal 1 binary32) u) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(literal -2 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 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32)))) |
#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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32))) |
(-.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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32)) |
#s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) |
(fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v))) |
#s(literal 2 binary32) |
u |
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)) |
(-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) |
(*.f32 #s(literal -2 binary32) u) |
#s(literal -2 binary32) |
(/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v) |
#s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) |
(*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u) |
(+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) |
(/.f32 #s(literal 2/3 binary32) v) |
#s(literal 2/3 binary32) |
v |
#s(literal 4/3 binary32) |
(neg.f32 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)))) |
#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))) |
(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) u) |
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) |
(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))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
v |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 (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 (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) |
(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)) |
(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))))) |
(*.f32 #s(literal 1/3 binary32) u) |
#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)))) |
(pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) |
(-.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 |
#s(literal 3 binary32) |
(/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v))) |
(exp.f32 (/.f32 #s(literal -6 binary32) v)) |
(/.f32 #s(literal -6 binary32) v) |
#s(literal -6 binary32) |
(*.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 #s(literal -1/2 binary32) v) |
#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))) |
(pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) |
(expm1.f32 (/.f32 #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) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))) |
#s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 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 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 u))) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) |
(log.f32 (fma.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 u))) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u) |
(fma.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 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 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (fma.f32 u u #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 u))) |
(-.f32 #s(literal 1 binary32) (*.f32 u u)) |
#s(literal 1 binary32) |
(*.f32 u u) |
u |
(+.f32 #s(literal 1 binary32) u) |
(+.f32 u #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #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))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(literal -2 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 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32)))) |
(+.f32 #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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32))) #s(literal 1 binary32)) |
#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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32))) |
(-.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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32)) |
#s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) |
(fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v))) |
#s(literal 2 binary32) |
u |
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)) |
(-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) |
(*.f32 #s(literal -2 binary32) u) |
#s(literal -2 binary32) |
(/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v) |
#s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) |
(*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u) |
(+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) |
(/.f32 #s(literal 2/3 binary32) v) |
#s(literal 2/3 binary32) |
v |
#s(literal 4/3 binary32) |
(neg.f32 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(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal 1 binary32)) |
#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))) |
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) |
(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 (-.f32 #s(literal 1 binary32) u) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)))) |
(-.f32 #s(literal 1 binary32) u) |
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 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 2 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))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) |
(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)) |
(*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) |
v |
#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))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (fma.f32 (/.f32 (*.f32 (*.f32 u v) #s(literal 1/3 binary32)) (exp.f32 (/.f32 #s(literal -6 binary32) v))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (*.f32 #s(literal -1/2 binary32) v) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(-.f32 (*.f32 (fma.f32 (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (fma.f32 (/.f32 (*.f32 (*.f32 u v) #s(literal 1/3 binary32)) (exp.f32 (/.f32 #s(literal -6 binary32) v))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (*.f32 #s(literal -1/2 binary32) v) (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 (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) |
(*.f32 (fma.f32 (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (fma.f32 (/.f32 (*.f32 (*.f32 u v) #s(literal 1/3 binary32)) (exp.f32 (/.f32 #s(literal -6 binary32) v))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (*.f32 #s(literal -1/2 binary32) v) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) |
(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)) |
(fma.f32 (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (fma.f32 (/.f32 (*.f32 (*.f32 u v) #s(literal 1/3 binary32)) (exp.f32 (/.f32 #s(literal -6 binary32) v))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (*.f32 #s(literal -1/2 binary32) v) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) |
(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))))) |
(*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (fma.f32 (/.f32 (*.f32 (*.f32 u v) #s(literal 1/3 binary32)) (exp.f32 (/.f32 #s(literal -6 binary32) v))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (*.f32 #s(literal -1/2 binary32) v) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) |
(*.f32 #s(literal 1/3 binary32) u) |
#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 v (exp.f32 (/.f32 #s(literal -6 binary32) v))) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) |
(pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) |
(-.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 |
#s(literal 3 binary32) |
(/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v))) |
(exp.f32 (/.f32 #s(literal -6 binary32) v)) |
(/.f32 #s(literal -6 binary32) v) |
#s(literal -6 binary32) |
(*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) |
(*.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) v) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) |
(*.f32 #s(literal -1/2 binary32) v) |
#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))) |
(pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) |
(expm1.f32 (/.f32 #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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10502728724498238 | (exp.f32 (/.f32 #s(literal -6 binary32) v)) | |
| accuracy | 0.10984210552544038 | (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) | |
| accuracy | 3.976562561806254 | (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))))) | |
| accuracy | 6.506326936264452 | #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))) | |
| accuracy | 0.09690373016428752 | (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)) | |
| accuracy | 0.1015625 | (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) | |
| accuracy | 1.4403708809330535 | (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))) | |
| accuracy | 6.624064987237909 | #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))) | |
| accuracy | 0.07421875 | (/.f32 #s(literal 2/3 binary32) v) | |
| accuracy | 0.07421875 | (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u) | |
| accuracy | 6.6326300989921 | #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) | |
| accuracy | 6.931021674679367 | #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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32))) | |
| accuracy | 0.0 | (-.f32 #s(literal 1 binary32) u) | |
| accuracy | 0.12346613403808442 | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) | |
| accuracy | 6.9279644051307425 | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) | |
| accuracy | 0.026591230164287515 | (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) | |
| accuracy | 0.037441259768442016 | (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) | |
| accuracy | 0.10485753333832457 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 0.109375 | (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) |
| 109.0ms | 193× | 0 | exit |
| 45.0ms | 63× | 0 | valid |
Compiled 718 to 91 computations (87.3% saved)
ival-mult: 40.0ms (31% of total)ival-div: 24.0ms (18.6% of total)ival-add: 21.0ms (16.3% of total)ival-log: 9.0ms (7% of total)const: 9.0ms (7% of total)ival-exp: 6.0ms (4.7% of total)ival-sub: 6.0ms (4.7% of total)ival-pow2: 5.0ms (3.9% of total)ival-expm1: 4.0ms (3.1% of total)ival-pow: 3.0ms (2.3% of total)ival-neg: 2.0ms (1.6% 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 |
|---|
#s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.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 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) u) |
(+.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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32))) |
(-.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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32)) |
#s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 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))) |
(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) #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)))) |
#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))) |
(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))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 (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 (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) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u) |
(/.f32 #s(literal 2/3 binary32) v) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) |
(exp.f32 (/.f32 #s(literal -6 binary32) v)) |
| Outputs |
|---|
-1 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (- 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 (exp (/ -2 v))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (- 1 (exp (/ -2 v))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (- 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 (exp (/ -2 v))))) |
(- (* 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) 1) |
1 |
(+ 1 (* -1 u)) |
-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))) |
(* 2 u) |
(* u (+ 2 (* -2 u))) |
(- (* u (+ 2 (* 2 (/ 1 v)))) 2) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2) |
(* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) |
(+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (* 1/3 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 3))) (exp (/ -6 v))))) |
(- (* 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 (+ (* u (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (* 1/3 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 3))) (exp (/ -6 v)))))) (* 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)))) |
(* u (+ (* u (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (* 1/3 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 3))) (exp (/ -6 v)))))) (* v (- (exp (/ 2 v)) 1)))) |
(* u (+ 4/3 (* 2/3 (/ 1 v)))) |
(+ 1 (* -2 u)) |
(+ 1 (* u (- u 2))) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* 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 (- 2 (/ 1 u))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* 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)))) |
(* -2 (pow u 2)) |
(* (pow u 2) (- (* 2 (/ 1 u)) 2)) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2))))) |
(* 1/3 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 3))) (exp (/ -6 v)))) |
(* u (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (* u (exp (/ -4 v))))) (* 1/3 (/ (* v (pow (- 1 (exp (/ -2 v))) 3)) (exp (/ -6 v)))))) |
(* 1/3 (/ (* (pow u 3) (* v (pow (- 1 (exp (/ -2 v))) 3))) (exp (/ -6 v)))) |
(* (pow u 3) (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (* u (exp (/ -4 v))))) (* 1/3 (/ (* v (pow (- 1 (exp (/ -2 v))) 3)) (exp (/ -6 v)))))) |
(* (pow u 3) (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (* u (exp (/ -4 v))))) (+ (* 1/3 (/ (* v (pow (- 1 (exp (/ -2 v))) 3)) (exp (/ -6 v)))) (/ (* v (- (exp (/ 2 v)) 1)) (pow u 2))))) |
(* (pow u 3) (- (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (* u (exp (/ -4 v))))) (+ (* 1/3 (/ (* v (pow (- 1 (exp (/ -2 v))) 3)) (exp (/ -6 v)))) (/ (* v (- (exp (/ 2 v)) 1)) (pow u 2)))) (/ 1 (pow u 3)))) |
(pow u 2) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(+ 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))))))) |
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(+ (* 2/3 (/ u v)) (* 4/3 u)) |
2 |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | v | @ | 0 | ((+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (+ (* (log (+ (* (exp (/ -2 v)) (/ (- 1 (* u u)) (+ 1 u))) u)) v) 1) (log (+ (* (exp (/ -2 v)) (/ (- 1 (* u u)) (+ 1 u))) u)) (+ (* (exp (/ -2 v)) (/ (- 1 (* u u)) (+ 1 u))) u) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (+ (* (- 1 u) -2) 1) (- 1 u) (+ 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)) (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (+ (* (- 1 u) -2) (/ (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (/ (- 1 (* u u)) (+ 1 u)) (exp (/ -2 v)) (* (+ (/ 2/3 v) 4/3) u) (/ 2/3 v) (pow (- 1 u) 2) (* (- (exp (/ 2 v)) 1) v) (exp (/ -6 v))) |
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| 6.0ms | u | @ | -inf | ((+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (+ (* (log (+ (* (exp (/ -2 v)) (/ (- 1 (* u u)) (+ 1 u))) u)) v) 1) (log (+ (* (exp (/ -2 v)) (/ (- 1 (* u u)) (+ 1 u))) u)) (+ (* (exp (/ -2 v)) (/ (- 1 (* u u)) (+ 1 u))) u) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (+ (* (- 1 u) -2) 1) (- 1 u) (+ 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)) (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (+ (* (- 1 u) -2) (/ (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (/ (- 1 (* u u)) (+ 1 u)) (exp (/ -2 v)) (* (+ (/ 2/3 v) 4/3) u) (/ 2/3 v) (pow (- 1 u) 2) (* (- (exp (/ 2 v)) 1) v) (exp (/ -6 v))) |
| 6.0ms | u | @ | inf | ((+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (+ (* (log (+ (* (exp (/ -2 v)) (/ (- 1 (* u u)) (+ 1 u))) u)) v) 1) (log (+ (* (exp (/ -2 v)) (/ (- 1 (* u u)) (+ 1 u))) u)) (+ (* (exp (/ -2 v)) (/ (- 1 (* u u)) (+ 1 u))) u) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (+ (* (- 1 u) -2) 1) (- 1 u) (+ 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)) (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (+ (* (- 1 u) -2) (/ (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (/ (- 1 (* u u)) (+ 1 u)) (exp (/ -2 v)) (* (+ (/ 2/3 v) 4/3) u) (/ 2/3 v) (pow (- 1 u) 2) (* (- (exp (/ 2 v)) 1) v) (exp (/ -6 v))) |
| 4.0ms | v | @ | inf | ((+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (+ (* (log (+ (* (exp (/ -2 v)) (/ (- 1 (* u u)) (+ 1 u))) u)) v) 1) (log (+ (* (exp (/ -2 v)) (/ (- 1 (* u u)) (+ 1 u))) u)) (+ (* (exp (/ -2 v)) (/ (- 1 (* u u)) (+ 1 u))) u) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (+ (* (- 1 u) -2) 1) (- 1 u) (+ 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)) (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (+ (* (- 1 u) -2) (/ (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (/ (- 1 (* u u)) (+ 1 u)) (exp (/ -2 v)) (* (+ (/ 2/3 v) 4/3) u) (/ 2/3 v) (pow (- 1 u) 2) (* (- (exp (/ 2 v)) 1) v) (exp (/ -6 v))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 807 | 5880 |
| 1 | 2675 | 5612 |
| 0 | 8675 | 5203 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
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(* v (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) |
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (/ 1 v)))) |
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))) (/ 1 v))))) |
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/6 (/ (+ (* -16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))) (+ (* -8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))) (/ 1 v)))))) |
(log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) |
(+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))))) |
(+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))))) |
(+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/6 (/ (+ (* -16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))) (+ (* -8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))))) (pow v 3))) (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2)))))) |
(- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) |
(- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u))) |
(- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (+ (* 2 (/ (- 1 (pow u 2)) (* (pow v 2) (+ 1 u)))) (/ 1 (+ 1 u))))) (/ (pow u 2) (+ 1 u))) |
(- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (+ (* -4/3 (/ (- 1 (pow u 2)) (* (pow v 3) (+ 1 u)))) (+ (* 2 (/ (- 1 (pow u 2)) (* (pow v 2) (+ 1 u)))) (/ 1 (+ 1 u)))))) (/ (pow u 2) (+ 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)))))) |
(* -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))))) |
(+ (* -2 (- 1 u)) (+ (* -2 (/ (pow (- 1 u) 2) v)) (* 2 (/ (- 1 u) v)))) |
(/ (- (* 8/3 (/ u v)) (+ 2 (* 4 (/ 1 v)))) v) |
(/ (- (+ (* 1/3 (/ (- (* -24 u) (* -48 u)) (pow v 2))) (* 8/3 (/ u v))) (+ 2 (+ (* 4 (/ 1 v)) (/ 14/3 (pow v 2))))) v) |
(/ (- (+ (* 1/3 (/ (- (* -24 u) (* -48 u)) (pow v 2))) (+ (* 1/3 (/ (- (* 40 u) (+ (* -6 (- (* -24 u) (* -48 u))) (* 144 u))) (pow v 3))) (* 8/3 (/ u v)))) (+ 2 (+ (* 4 (/ 1 v)) (+ (* 4 (/ 1 (pow v 3))) (/ 14/3 (pow v 2)))))) v) |
(- (+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v)) 1) |
(- (+ (* 2 u) (+ (/ (* u (+ 4/3 (* u (- (* 8/3 u) 4)))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v))) 1) |
(- (+ (* 2 u) (+ (/ (* u (+ 2/3 (* u (- (* 1/3 (- (* -24 u) (* -48 u))) 14/3)))) (pow v 3)) (+ (/ (* u (+ 4/3 (* u (- (* 8/3 u) 4)))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v)))) 1) |
(+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v)) |
(+ (* 2 u) (+ (/ (* u (+ 4/3 (* u (- (* 8/3 u) 4)))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v))) |
(+ (* 2 u) (+ (/ (* u (+ 2/3 (* u (- (* 1/3 (- (* -24 u) (* -48 u))) 14/3)))) (pow v 3)) (+ (/ (* u (+ 4/3 (* u (- (* 8/3 u) 4)))) (pow v 2)) (/ (* u (+ 2 (* -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))))) |
(* 4/3 u) |
(+ (* 2/3 (/ u v)) (* 4/3 u)) |
2 |
(+ 2 (* 2 (/ 1 v))) |
(+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) |
(+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) |
(- 1 (* 6 (/ 1 v))) |
(- (+ 1 (/ 18 (pow v 2))) (* 6 (/ 1 v))) |
(- (+ 1 (/ 18 (pow v 2))) (+ (* 6 (/ 1 v)) (* 36 (/ 1 (pow v 3))))) |
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v))))) |
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (+ (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v)))) v))))) |
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (+ (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* -1 (/ (+ (* -1/2 (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))))) (* 1/6 (/ (+ (* -24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (+ (* 8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))))) v))) v)))) v))))) |
(+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (* -1 (/ (+ (* -1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v)) (* 2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v))) |
(+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (+ (* 8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))))) v)) (* 1/2 (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))))) v)) (* 2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v))) |
(- (+ u (+ (* -1 (/ (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u))) |
(- (+ u (+ (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u))) |
(+ 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 (/ (+ (* -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 (/ (- (* 8/3 u) 4) v))) v)) |
(* -1 (/ (+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 14/3 (* -1/3 (- (* -24 u) (* -48 u)))) v)) (* 8/3 u)) 4) v))) v)) |
(* -1 (/ (+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 14/3 (+ (* -1 (/ (- (* -1/3 (- (* -40 u) (+ (* -144 u) (* 6 (- (* -24 u) (* -48 u)))))) 4) v)) (* -1/3 (- (* -24 u) (* -48 u))))) v)) (* 8/3 u)) 4) v))) v)) |
(- (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* u (- (* 8/3 u) 4)))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (* u (+ 14/3 (* -1/3 (- (* -24 u) (* -48 u))))) 2/3)) v)) (* u (+ 4/3 (* u (- (* 8/3 u) 4))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1) |
(+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* u (- (* 8/3 u) 4)))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (* u (+ 14/3 (* -1/3 (- (* -24 u) (* -48 u))))) 2/3)) v)) (* u (+ 4/3 (* u (- (* 8/3 u) 4))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(+ 2 (* -1 (/ (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2) v))) |
(+ 1 (* -1 (/ (- 6 (* 18 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 18 (* 36 (/ 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 (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 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 (exp (/ -2 v))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (- 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 #s(literal 1/3 binary32) (*.f32 u v)) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 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))) |
(-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v)) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u) (/.f32 #s(literal 2 binary32) v)) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (- 1 (exp (/ -2 v))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (- 1 (exp (/ -2 v))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #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 (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 (+ (* -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 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 #s(literal 1/3 binary32) (*.f32 u v)) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
(- (* 2 u) 1) |
(-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 1 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
-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 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 #s(literal 1/3 binary32) (*.f32 u v)) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 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 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(* 2 u) |
(*.f32 #s(literal 2 binary32) u) |
(* u (+ 2 (* -2 u))) |
(*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) |
(- (* u (+ 2 (* 2 (/ 1 v)))) 2) |
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(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2) |
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(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #s(literal 4 binary32)) v)) (neg.f32 v)) |
(* -1 (/ (+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 14/3 (* -1/3 (- (* -24 u) (* -48 u)))) v)) (* 8/3 u)) 4) v))) v)) |
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 8/3 binary32) u (/.f32 (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32)) (neg.f32 v))) #s(literal 4 binary32)) v)) (neg.f32 v)) |
(* -1 (/ (+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 14/3 (+ (* -1 (/ (- (* -1/3 (- (* -40 u) (+ (* -144 u) (* 6 (- (* -24 u) (* -48 u)))))) 4) v)) (* -1/3 (- (* -24 u) (* -48 u))))) v)) (* 8/3 u)) 4) v))) v)) |
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 8/3 binary32) u (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (fma.f32 u #s(literal 104 binary32) (*.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -6 binary32))) #s(literal -1/3 binary32)) #s(literal 4 binary32)) v) #s(literal -1 binary32) (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32))) (neg.f32 v))) #s(literal 4 binary32)) v)) (neg.f32 v)) |
(- (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) 1) |
(-.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.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 (* u (- (* 8/3 u) 4)))) 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 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #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 (- (* u (+ 14/3 (* -1/3 (- (* -24 u) (* -48 u))))) 2/3)) v)) (* u (+ 4/3 (* u (- (* 8/3 u) 4))))) 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 (neg.f32 u) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32)) u) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #s(literal 4 binary32)) u #s(literal 4/3 binary32)) u)) (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 (* u (- (* 8/3 u) 4)))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) |
(fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #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 (- (* u (+ 14/3 (* -1/3 (- (* -24 u) (* -48 u))))) 2/3)) v)) (* u (+ 4/3 (* u (- (* 8/3 u) 4))))) 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 (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32)) u) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #s(literal 4 binary32)) u #s(literal 4/3 binary32)) u)) (neg.f32 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)) |
(+ 2 (* -1 (/ (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2) v))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal -1 binary32) #s(literal -4/3 binary32)) v) #s(literal 2 binary32)) v)) |
(+ 1 (* -1 (/ (- 6 (* 18 (/ 1 v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 6 binary32) (/.f32 #s(literal 18 binary32) v)) v)) |
(+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 18 (* 36 (/ 1 v))) v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 6 binary32) (/.f32 (-.f32 #s(literal 18 binary32) (/.f32 #s(literal 36 binary32) v)) v)) v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 633 |
| 0 | 157 | 595 |
| 1 | 641 | 587 |
| 2 | 4680 | 587 |
| 0 | 8810 | 583 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.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 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) u) |
(+.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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32))) |
(-.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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32)) |
#s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 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))) |
(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) #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)))) |
#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))) |
(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))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(-.f32 (*.f32 (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 (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) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u) |
(/.f32 #s(literal 2/3 binary32) v) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) |
(exp.f32 (/.f32 #s(literal -6 binary32) v)) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (neg.f32 v))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (neg.f32 v)) #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))) |
(/.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) |
(/.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))))) |
(-.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v)) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (neg.f32 v)))) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 1 binary32))) v #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal 1 binary32) v) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (*.f32 v #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(fma.f32 v (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) |
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(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) u)) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -1 binary32) (neg.f32 u))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) (*.f32 u u))) (+.f32 #s(literal -1 binary32) (neg.f32 u))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 #s(literal -1 binary32) (*.f32 u u))) (*.f32 (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 u)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (*.f32 (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u)) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u)) #s(literal 2 binary32))) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u)) (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal -1 binary32) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 u)))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 2 binary32)) (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 2 binary32))) |
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (-.f32 #s(literal 1 binary32) u))) |
(pow.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 1 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
(+.f32 (cosh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))))) |
(exp.f32 (+.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) (log.f32 (-.f32 #s(literal 1 binary32) u)))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) |
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) |
(*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) v) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) v) (+.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 v (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 (*.f32 v (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 (pow.f32 (cosh.f32 (/.f32 #s(literal 6 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 6 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal 6 binary32) v)) (sinh.f32 (/.f32 #s(literal -6 binary32) v)))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 6 binary32) v))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal -6 binary32) v)))) |
(-.f32 (cosh.f32 (/.f32 #s(literal 6 binary32) v)) (sinh.f32 (/.f32 #s(literal 6 binary32) v))) |
(+.f32 (sinh.f32 (/.f32 #s(literal -6 binary32) v)) (cosh.f32 (/.f32 #s(literal 6 binary32) v))) |
(+.f32 (cosh.f32 (/.f32 #s(literal 6 binary32) v)) (sinh.f32 (/.f32 #s(literal -6 binary32) v))) |
(exp.f32 (/.f32 #s(literal -6 binary32) v)) |
Compiled 41 889 to 3 936 computations (90.6% saved)
31 alts after pruning (23 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 674 | 13 | 687 |
| Fresh | 1 | 10 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 6 | 7 |
| Total | 679 | 31 | 710 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (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)) |
| 99.7% | (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) (log.f32 (E.f32)) #s(literal 1 binary32)) | |
| ✓ | 96.6% | (fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
| 88.6% | (fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) #s(approx (* (neg u) (- (exp (/ -2 v)) 1)) (*.f32 (/.f32 u v) #s(literal 2 binary32))))) v #s(literal 1 binary32)) | |
| 8.6% | (fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v))) v #s(literal 1 binary32)) | |
| 99.3% | (-.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) | |
| 99.7% | (+.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)) | |
| ✓ | 99.8% | (+.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)) |
| 12.8% | (+.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 #s(approx (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u)) v)))) | |
| 12.7% | (+.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 #s(approx (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (*.f32 #s(literal 2 binary32) u)) v)))) | |
| ✓ | 8.6% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
| 10.7% | (+.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 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))) #s(literal 2 binary32)))) | |
| 9.7% | (+.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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) v)) (neg.f32 v)))) #s(literal 2 binary32)))) | |
| ✓ | 10.0% | (+.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 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 binary32)))) |
| 12.7% | (+.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)))) | |
| 6.2% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- 1 u) -2) (/ (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) v)) (*.f32 (/.f32 (*.f32 u u) v) #s(literal -2 binary32))))) | |
| 99.6% | (*.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))) | |
| ✓ | 6.7% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
| 8.6% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) | |
| 6.7% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(approx (+ (* (- 1 u) -2) 1) (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 1 binary32)))) | |
| 6.7% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) | |
| ✓ | 88.4% | #s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
| 99.8% | #s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))) | |
| 2.8% | #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) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) 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))) | |
| 5.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 #s(approx (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) (/.f32 (-.f32 (/.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #s(literal 4 binary32)) v) #s(literal 2 binary32)) v)) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| 5.0% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 #s(approx (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 8/3 binary32) u (/.f32 (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32)) (neg.f32 v))) #s(literal 4 binary32)) v)) (neg.f32 v))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| 12.8% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) 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))) #s(literal 1 binary32))) | |
| 10.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (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 (neg.f32 u) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32)) u) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #s(literal 4 binary32)) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32))) | |
| 10.4% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #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))) | |
| 12.8% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32)) u)) #s(literal 1 binary32))) | |
| ✓ | 4.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 3 295 to 1 283 computations (61.1% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(approx (+ (* (- 1 u) -2) 1) (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- 1 u) -2) (/ (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) v)) (*.f32 (/.f32 (*.f32 u u) v) #s(literal -2 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)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32)) u)) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 #s(approx (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (*.f32 #s(literal 2 binary32) u)) 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 #s(approx (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u)) v)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) 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))) #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 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))) #s(literal 2 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 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) v)) (neg.f32 v)))) #s(literal 2 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 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 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 (-.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)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #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))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (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 (neg.f32 u) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32)) u) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #s(literal 4 binary32)) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32))) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) #s(approx (* (neg u) (- (exp (/ -2 v)) 1)) (*.f32 (/.f32 u v) #s(literal 2 binary32))))) v #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.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 (+ (* (exp (/ -2 v)) (- 1 u)) u)) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v))) v #s(literal 1 binary32)) |
#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)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 #s(approx (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) (/.f32 (-.f32 (/.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #s(literal 4 binary32)) v) #s(literal 2 binary32)) v)) u (*.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 (fma.f32 #s(approx (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 8/3 binary32) u (/.f32 (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32)) (neg.f32 v))) #s(literal 4 binary32)) v)) (neg.f32 v))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
#s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)))) |
(+.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)) |
#s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) u)) u)) v #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)) (log.f32 (E.f32)) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) (log.f32 (exp.f32 #s(literal 1 binary32))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) v #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) 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))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(-.f32 (/.f32 (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 (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 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32)))) |
(-.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (-.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))) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))) |
4 calls:
| 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))))))) |
| 11.0ms | u |
| 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 |
|---|---|---|
| 99.8% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 99.8% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 99.8% | 1 | u |
| 99.8% | 1 | v |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(approx (+ (* (- 1 u) -2) 1) (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- 1 u) -2) (/ (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) v)) (*.f32 (/.f32 (*.f32 u u) v) #s(literal -2 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)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32)) u)) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 #s(approx (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (*.f32 #s(literal 2 binary32) u)) 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 #s(approx (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u)) v)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) 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))) #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 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))) #s(literal 2 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 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) v)) (neg.f32 v)))) #s(literal 2 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 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 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 (-.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)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #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))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (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 (neg.f32 u) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32)) u) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #s(literal 4 binary32)) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32))) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) #s(approx (* (neg u) (- (exp (/ -2 v)) 1)) (*.f32 (/.f32 u v) #s(literal 2 binary32))))) v #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.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 (+ (* (exp (/ -2 v)) (- 1 u)) u)) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v))) v #s(literal 1 binary32)) |
#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)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 #s(approx (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) (/.f32 (-.f32 (/.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #s(literal 4 binary32)) v) #s(literal 2 binary32)) v)) u (*.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 (fma.f32 #s(approx (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 8/3 binary32) u (/.f32 (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32)) (neg.f32 v))) #s(literal 4 binary32)) v)) (neg.f32 v))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
#s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)))) |
(+.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)) |
| 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:
| 11.0ms | u |
| 9.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 9.0ms | v |
| 8.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 99.8% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 99.8% | 1 | u |
| 99.8% | 1 | v |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(approx (+ (* (- 1 u) -2) 1) (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- 1 u) -2) (/ (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) v)) (*.f32 (/.f32 (*.f32 u u) v) #s(literal -2 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)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32)) u)) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 #s(approx (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (*.f32 #s(literal 2 binary32) u)) 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 #s(approx (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u)) v)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) 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))) #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 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))) #s(literal 2 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 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) v)) (neg.f32 v)))) #s(literal 2 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 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 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 (-.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)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #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))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (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 (neg.f32 u) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32)) u) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #s(literal 4 binary32)) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32))) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) #s(approx (* (neg u) (- (exp (/ -2 v)) 1)) (*.f32 (/.f32 u v) #s(literal 2 binary32))))) v #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.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 (+ (* (exp (/ -2 v)) (- 1 u)) u)) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v))) v #s(literal 1 binary32)) |
#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)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 #s(approx (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) (/.f32 (-.f32 (/.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #s(literal 4 binary32)) v) #s(literal 2 binary32)) v)) u (*.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 (fma.f32 #s(approx (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 8/3 binary32) u (/.f32 (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32)) (neg.f32 v))) #s(literal 4 binary32)) v)) (neg.f32 v))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
| Outputs |
|---|
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
4 calls:
| 8.0ms | u |
| 8.0ms | v |
| 8.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 6.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 96.6% | 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))))))) |
| 96.6% | 1 | u |
| 96.6% | 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 (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(approx (+ (* (- 1 u) -2) 1) (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- 1 u) -2) (/ (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) v)) (*.f32 (/.f32 (*.f32 u u) v) #s(literal -2 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)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32)) u)) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 #s(approx (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (*.f32 #s(literal 2 binary32) u)) 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 #s(approx (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u)) v)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) 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))) #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 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))) #s(literal 2 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 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) v)) (neg.f32 v)))) #s(literal 2 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 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 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 (-.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)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #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))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (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 (neg.f32 u) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32)) u) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #s(literal 4 binary32)) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32))) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) #s(approx (* (neg u) (- (exp (/ -2 v)) 1)) (*.f32 (/.f32 u v) #s(literal 2 binary32))))) v #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.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 (+ (* (exp (/ -2 v)) (- 1 u)) u)) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v))) v #s(literal 1 binary32)) |
#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)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 #s(approx (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) (/.f32 (-.f32 (/.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #s(literal 4 binary32)) v) #s(literal 2 binary32)) v)) u (*.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 (fma.f32 #s(approx (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 8/3 binary32) u (/.f32 (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32)) (neg.f32 v))) #s(literal 4 binary32)) v)) (neg.f32 v))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
| Outputs |
|---|
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) #s(approx (* (neg u) (- (exp (/ -2 v)) 1)) (*.f32 (/.f32 u v) #s(literal 2 binary32))))) v #s(literal 1 binary32)) |
4 calls:
| 8.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 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 | u |
| 7.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 1 | u |
| 88.6% | 1 | v |
| 88.6% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 88.6% | 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))))))) |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(approx (+ (* (- 1 u) -2) 1) (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- 1 u) -2) (/ (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) v)) (*.f32 (/.f32 (*.f32 u u) v) #s(literal -2 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)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32)) u)) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 #s(approx (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (*.f32 #s(literal 2 binary32) u)) 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 #s(approx (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u)) v)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) 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))) #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 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))) #s(literal 2 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 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) v)) (neg.f32 v)))) #s(literal 2 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 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 #s(approx (+ (* 2/3 (/ u v)) (* 4/3 u)) (*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u)) v)) (neg.f32 v)))) #s(literal 2 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 (-.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)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #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))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (+ (* (* 1/3 u) (* (pow (- 1 (exp (/ -2 v))) 3) (/ v (exp (/ -6 v))))) (* (* -1/2 v) (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))))) u) (* (- (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 (neg.f32 u) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -1/3 binary32) #s(literal 14/3 binary32)) u) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 8/3 binary32) u) #s(literal 4 binary32)) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32))) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
4 calls:
| 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))))))) |
| 5.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 5.0ms | v |
| 5.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 88.4% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 88.4% | 1 | u |
| 88.4% | 1 | v |
Compiled 30 to 27 computations (10% 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 |
|---|---|---|
| 4.7% | 1 | v |
| 4.7% | 1 | u |
| 4.7% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 4.7% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
Compiled 30 to 27 computations (10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 149 |
| 1 | 104 | 149 |
| 2 | 206 | 149 |
| 3 | 519 | 149 |
| 4 | 1948 | 149 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) #s(approx (* (neg u) (- (exp (/ -2 v)) 1)) (*.f32 (/.f32 u v) #s(literal 2 binary32))))) v #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ (* (- 1 (* u u)) (/ (exp (/ -2 v)) (+ u 1))) u)))) (fma.f32 (log.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) #s(approx (* (neg u) (- (exp (/ -2 v)) 1)) (*.f32 (/.f32 u v) #s(literal 2 binary32))))) v #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 634 | 6763 |
| 1 | 2241 | 6002 |
| 0 | 8211 | 5470 |
| 0 | 337 | 2667 |
| 1 | 1090 | 2450 |
| 2 | 4482 | 2387 |
| 0 | 8293 | 2134 |
| 0 | 12 | 53 |
| 0 | 20 | 53 |
| 1 | 74 | 53 |
| 2 | 488 | 53 |
| 3 | 5268 | 53 |
| 0 | 8312 | 48 |
| 0 | 99 | 633 |
| 0 | 157 | 595 |
| 1 | 641 | 587 |
| 2 | 4680 | 587 |
| 0 | 8810 | 583 |
| 0 | 1519 | 22771 |
| 1 | 5143 | 22652 |
| 0 | 8109 | 21832 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 149 to 62 computations (58.4% saved)
Compiled 328 to 148 computations (54.9% saved)
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