
Time bar (total: 8.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0.9% | 99.1% | 0% | 0% | 0% | 4 |
| 37.5% | 0.3% | 0.5% | 99.1% | 0% | 0% | 0% | 5 |
| 43.7% | 0.4% | 0.5% | 99.1% | 0% | 0% | 0% | 6 |
| 65.6% | 0.6% | 0.3% | 99.1% | 0% | 0% | 0% | 7 |
| 70.3% | 0.6% | 0.3% | 99.1% | 0% | 0% | 0% | 8 |
| 82% | 0.7% | 0.2% | 99.1% | 0% | 0% | 0% | 9 |
| 84.8% | 0.7% | 0.1% | 99.1% | 0% | 0% | 0% | 10 |
| 90.8% | 0.8% | 0.1% | 99.1% | 0% | 0% | 0% | 11 |
| 92.3% | 0.8% | 0.1% | 99.1% | 0% | 0% | 0% | 12 |
Compiled 31 to 23 computations (25.8% saved)
| 1.3s | 8 256× | 0 | valid |
const: 222.0ms (21.8% of total)ival-<=: 160.0ms (15.7% of total)ival-log: 140.0ms (13.7% of total)ival-add: 139.0ms (13.7% of total)ival-mult: 93.0ms (9.1% of total)ival-div: 83.0ms (8.2% of total)ival-sub: 75.0ms (7.4% of total)ival-exp: 66.0ms (6.5% of total)ival-and: 23.0ms (2.3% of total)exact: 11.0ms (1.1% of total)adjust: 3.0ms (0.3% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 9 | (0.18261072039604187 0.012661966495215893) | 2 | (0.11199285835027695 0.028976432979106903) | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | #s(literal -2 binary32) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
| 0 | 0 | - | 0 | - | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal -2 binary32) v) |
| 0 | 0 | - | 0 | - | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 0 | 0 | - | 0 | - | (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f32 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | sensitivity | 9 | 4 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 2 |
| - | 9 | 245 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 1 | 1 |
| - | 9 | 5 | 240 |
| number | freq |
|---|---|
| 0 | 247 |
| 1 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 44.0ms | 512× | 0 | valid |
Compiled 161 to 40 computations (75.2% saved)
ival-log: 7.0ms (23.4% of total)ival-mult: 6.0ms (20% of total)ival-exp: 5.0ms (16.7% of total)ival-div: 4.0ms (13.3% of total)ival-add: 4.0ms (13.3% of total)ival-sub: 2.0ms (6.7% 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 |
|---|---|---|
| ▶ | 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
Compiled 15 to 12 computations (20% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) | |
| cost-diff | 0 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) | |
| cost-diff | 1 | (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) | |
| cost-diff | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 71 |
| 0 | 20 | 71 |
| 1 | 35 | 71 |
| 2 | 71 | 71 |
| 3 | 181 | 71 |
| 4 | 512 | 71 |
| 5 | 2769 | 71 |
| 6 | 7834 | 71 |
| 0 | 8054 | 66 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
#s(literal 1 binary32) |
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
v |
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
u |
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(-.f32 #s(literal 1 binary32) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) |
v |
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
u |
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04907125946961356 | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) | |
| accuracy | 0.049160009768442016 | (+.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 | 0.11351679349377324 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 0.2578125 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 22.0ms | 256× | 0 | valid |
Compiled 73 to 14 computations (80.8% saved)
ival-mult: 5.0ms (33.2% of total)ival-div: 2.0ms (13.3% of total)ival-add: 2.0ms (13.3% of total)ival-exp: 2.0ms (13.3% of total)ival-log: 2.0ms (13.3% of total)ival-sub: 1.0ms (6.6% 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 | |
|---|---|---|---|---|
| 45.0ms | 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)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 272 | 22 | 294 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 272 | 23 | 295 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
| 99.6% | (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) | |
| 99.5% | (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)) | |
| ▶ | 99.4% | (fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
| 99.3% | (/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))) | |
| 99.5% | (+.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32)) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) | |
| 99.5% | (+.f32 #s(literal 1 binary32) (*.f32 (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))))) | |
| ✓ | 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| ▶ | 2.2% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))) |
| 95.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))) | |
| 9.6% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) | |
| 12.7% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)))) | |
| 6.9% | (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) | |
| 13.5% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)))) | |
| 11.8% | (+.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 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) | |
| ▶ | 9.7% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
| 6.9% | #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))) | |
| 13.5% | #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))) | |
| 4.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| 9.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) | |
| 87.2% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) | |
| ▶ | 5.4% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 1 133 to 804 computations (29% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) | |
| cost-diff | 0 | (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32))) | |
| cost-diff | 0 | (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) | |
| cost-diff | 0 | (fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) | |
| cost-diff | 0 | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))) | |
| cost-diff | 0 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))) | |
| cost-diff | 1 | (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))) | |
| cost-diff | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))) | |
| 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 | (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) | |
| cost-diff | 0 | (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 v #s(literal 2 binary32)) | |
| cost-diff | 0 | (fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 439 |
| 0 | 78 | 436 |
| 1 | 123 | 436 |
| 2 | 230 | 436 |
| 3 | 552 | 436 |
| 4 | 1762 | 436 |
| 0 | 8275 | 430 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(/.f32 v #s(literal 2 binary32)) |
v |
#s(literal 2 binary32) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(approx (+ 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 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))) |
#s(literal 1 binary32) |
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))) |
v |
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))) |
u |
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))) |
(-.f32 #s(literal 1 binary32) u) |
#s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)) |
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) |
#s(literal 2 binary32) |
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) |
(/.f32 #s(literal 4/3 binary32) v) |
#s(literal 4/3 binary32) |
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
#s(literal 2 binary32) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32))) |
(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 |
(/.f32 v #s(literal 2 binary32)) |
| Outputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) (/.f32 v #s(literal 2 binary32)) #s(literal 1 binary32)) |
(/.f32 v #s(literal 2 binary32)) |
v |
#s(literal 2 binary32) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) |
(log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) |
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(approx (+ 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 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))) |
(fma.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))) |
(*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u) u)) v) |
v |
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))) |
(log.f32 (fma.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u) u)) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))) |
(fma.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u) u) |
u |
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))) |
(*.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)) |
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) |
#s(literal 2 binary32) |
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) |
(/.f32 #s(literal 4/3 binary32) v) |
#s(literal 4/3 binary32) |
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32) #s(literal 1 binary32)) |
#s(literal 2 binary32) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) |
(log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (/.f32 v #s(literal 2 binary32)))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32))) |
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (/.f32 v #s(literal 2 binary32))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(/.f32 v #s(literal 2 binary32)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04753876953688403 | (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32))) | |
| accuracy | 0.049160009768442016 | (fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) | |
| accuracy | 0.11351679349377324 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 23.13751922727522 | (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) | |
| accuracy | 0.10546875 | (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v) | |
| accuracy | 0.2578125 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))) | |
| accuracy | 0.34375 | (/.f32 #s(literal 4/3 binary32) v) | |
| accuracy | 30.104241656605037 | #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) | |
| accuracy | 0.03515625 | (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) | |
| accuracy | 0.049160009768442016 | (+.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 | 0.12124604932875212 | (expm1.f32 (/.f32 #s(literal 2 binary32) v)) | |
| accuracy | 30.10972532884629 | #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 | 30.263839228069333 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) | |
| accuracy | 0.04032003162065376 | (fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) | |
| accuracy | 0.046875 | (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) | |
| accuracy | 0.07223380115753779 | (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) | |
| accuracy | 0.11351679349377324 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| 146.0ms | 164× | 1 | valid |
| 37.0ms | 92× | 0 | valid |
Compiled 349 to 39 computations (88.8% saved)
ival-pow: 26.0ms (16.4% of total)ival-log: 25.0ms (15.8% of total)adjust: 20.0ms (12.6% of total)ival-exp: 19.0ms (12% of total)ival-add: 19.0ms (12% of total)ival-div: 14.0ms (8.8% of total)ival-mult: 13.0ms (8.2% of total)ival-sub: 8.0ms (5.1% of total)const: 6.0ms (3.8% of total)ival-pow2: 4.0ms (2.5% of total)ival-expm1: 3.0ms (1.9% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(/.f32 v #s(literal 2 binary32)) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) |
#s(approx (+ 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 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))) |
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))) |
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))) |
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32))) |
(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)) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
#s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) |
(/.f32 #s(literal 4/3 binary32) v) |
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v) |
| Outputs |
|---|
(+ 1 (* 1/2 (* v (log (pow (exp (/ -2 v)) 2))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (/ (* u (* v (+ 1 (* -1 (exp (/ -2 v)))))) (exp (/ -2 v))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* 1/4 (* u (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* u (+ (* 1/12 (* u (* v (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))))))) (* 1/4 (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(log (pow (exp (/ -2 v)) 2)) |
(+ (log (pow (exp (/ -2 v)) 2)) (* 2 (/ (* u (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 1/2 (* u (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))) (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))) (* u (+ (* 1/6 (* u (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))))) |
(pow (exp (/ -2 v)) 2) |
(+ (* 2 (* u (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))))) (pow (exp (/ -2 v)) 2)) |
(+ (* u (+ (* 2 (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow (exp (/ -2 v)) 2)) |
-1 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
-2 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 2) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(/ -2 v) |
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(- (* u (+ (* u (+ (* -1/4 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* -1/4 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/8 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* -1/4 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (+ (* 1/3 (* u (+ (* -3 (* v (* (+ (* -1/4 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/8 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (+ (* 1/4 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (* 6 (+ (* -1/8 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* 1/48 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (* 1/6 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3)))))))))) (* 2 (+ (* -1/4 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/8 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2)))))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* 1/2 (* u (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* 1/2 (* u (+ (* -1/4 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* -1/4 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/8 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2)))))))) (* 1/2 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1) |
(- (* u (+ (* 1/2 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* u (+ (* 1/6 (* u (+ (* -3 (* v (* (+ (* -1/4 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/8 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (+ (* 1/4 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (* 6 (+ (* -1/8 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* 1/48 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (* 1/6 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3)))))))))) (* 1/2 (+ (* -1/4 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* -1/4 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/8 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))))))))))) 1) |
(exp -1) |
(+ (exp -1) (* 1/2 (* u (* v (* (exp -1) (- (/ 1 (exp (/ -2 v))) 1)))))) |
(+ (exp -1) (* u (+ (* 1/2 (* v (* (exp -1) (- (/ 1 (exp (/ -2 v))) 1)))) (* u (* (exp -1) (+ (* -1/4 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/8 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))))))))) |
(+ (exp -1) (* u (+ (* 1/2 (* v (* (exp -1) (- (/ 1 (exp (/ -2 v))) 1)))) (* u (+ (* u (* (exp -1) (+ (* -1/8 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* 1/48 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (* 1/6 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))))) (* (exp -1) (+ (* -1/4 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/8 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2)))))))))) |
(+ 1 (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u))))))) |
(+ 1 (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ 1 (+ (* 1/4 (/ (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))) (pow u 2))) (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ 1 (+ (* 1/12 (/ (* v (+ (* -12 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 16 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))))) (pow u 3))) (+ (* 1/4 (/ (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))) (pow u 2))) (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow u 2))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (+ (* 1/6 (/ (+ (* -12 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 16 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (pow u 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow u 2))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))) |
(* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) |
(* (pow u 2) (+ (* 2 (/ (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))) u)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) |
(* (pow u 2) (+ (* 2 (/ (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))) u)) (+ (/ (pow (exp (/ -2 v)) 2) (pow u 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) |
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) |
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u)))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(+ (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 (+ (* -1/4 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 2 (/ (+ (* -1/4 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/8 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow u 2))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ 1 (+ (* -1/4 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (+ (* -3 (/ (* v (* (exp (/ -2 v)) (+ (* -1/4 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/8 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))))) (+ 1 (* -1 (exp (/ -2 v)))))) (+ (* 1/4 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 6 (+ (* -1/8 (/ (* (pow v 2) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (+ (* 1/48 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 1/6 (/ (* v (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))))))) (pow u 3))) (+ (* 2 (/ (+ (* -1/4 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/8 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow u 2))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))) |
(* 1/2 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(+ (* 1/2 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (* 1/2 (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ (* 1/2 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (+ (* 1/2 (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) (* 1/2 (/ (+ (* -1/4 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (+ (* -1/4 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/8 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))))) (pow u 2))))) |
(+ (* 1/6 (/ (+ (* -3 (/ (* v (* (exp (/ -2 v)) (+ (* -1/4 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/8 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))))) (+ 1 (* -1 (exp (/ -2 v)))))) (+ (* 1/4 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 6 (+ (* -1/8 (/ (* (pow v 2) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (+ (* 1/48 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 1/6 (/ (* v (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))))))) (pow u 3))) (+ (* 1/2 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (+ (* 1/2 (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) (* 1/2 (/ (+ (* -1/4 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (+ (* -1/4 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/8 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))))) (pow u 2)))))) |
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(exp (* -1 (- 1 u))) |
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(+ (exp (* -1 (- 1 u))) (+ (* 1/4 (/ (* (exp (* -1 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) v)) (/ (* (exp (* -1 (- 1 u))) (+ (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/12 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))))) (pow v 2)))) |
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(- 1 (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
(/ 2 v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v) |
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v) |
(/ (- 2 (* 4/3 (/ 1 v))) v) |
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(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v)) |
(* -1 (/ (- (* 4/3 (/ 1 v)) 2) v)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | v | @ | 0 | ((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (+ 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 (* 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))))) (+ (* 2 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2)))) 1) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (/ 4/3 v) (/ (- 2 (/ 4/3 v)) v)) |
| 12.0ms | v | @ | -inf | ((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (+ 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 (* 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))))) (+ (* 2 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2)))) 1) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (/ 4/3 v) (/ (- 2 (/ 4/3 v)) v)) |
| 12.0ms | v | @ | inf | ((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (+ 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 (* 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))))) (+ (* 2 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2)))) 1) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (/ 4/3 v) (/ (- 2 (/ 4/3 v)) v)) |
| 10.0ms | u | @ | 0 | ((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (+ 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 (* 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))))) (+ (* 2 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2)))) 1) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (/ 4/3 v) (/ (- 2 (/ 4/3 v)) v)) |
| 10.0ms | u | @ | inf | ((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (+ 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 (* 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))))) (+ (* 2 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2)))) 1) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (/ v 2)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (/ 4/3 v) (/ (- 2 (/ 4/3 v)) v)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1178 | 11267 |
| 1 | 4352 | 10257 |
| 0 | 8984 | 9378 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* 1/2 (* v (log (pow (exp (/ -2 v)) 2))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (/ (* u (* v (+ 1 (* -1 (exp (/ -2 v)))))) (exp (/ -2 v))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* 1/4 (* u (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* u (+ (* 1/12 (* u (* v (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))))))) (* 1/4 (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(log (pow (exp (/ -2 v)) 2)) |
(+ (log (pow (exp (/ -2 v)) 2)) (* 2 (/ (* u (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) |
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(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/4 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2)))))) (* 1/12 (/ (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3))))) (* 1/48 (/ (+ (* -1536 (pow (- 1 u) 4)) (+ (* -96 (* (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) (- 1 u))) (+ (* -12 (pow (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) 2)) (+ (* 24 (+ (* 4/3 (- 1 u)) (+ (* 4 (pow (- 1 u) 2)) (* 16/3 (pow (- 1 u) 2))))) (* 384 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (pow (- 1 u) 2))))))) v))) v)) (* -1/4 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v)))) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v)) (* 4 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v)) (* 4 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -1536 (pow (- 1 u) 4)) (+ (* -96 (* (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) (- 1 u))) (+ (* -12 (pow (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) 2)) (+ (* 24 (+ (* 4/3 (- 1 u)) (+ (* 4 (pow (- 1 u) 2)) (* 16/3 (pow (- 1 u) 2))))) (* 384 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (pow (- 1 u) 2))))))) v)) (* 1/6 (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v)) (* 4 (- 1 u))) v)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) v)) (* 4 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) v)) (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2)))) v)) (* 4 (- 1 u))) v))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))) |
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))) |
(- (+ (* -1 (/ (+ (* -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 (* -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 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3/2 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -1/48 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (+ (* -1/384 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/48 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (+ (* -1/16 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)))))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
(+ (* -1 (- 1 u)) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/16 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) v)) (* -1/4 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))) |
(+ (* -1 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3/2 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -1/48 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (+ (* -1/384 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/48 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/16 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))))) v)) (* -1/4 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))) |
(+ (exp (* -1 (- 1 u))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (- 1 u))) (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)))) v)) (* -1/4 (* (exp (* -1 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v))) |
(+ (exp (* -1 (- 1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (- 1 u))) (+ (* -1/48 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (+ (* -1/384 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/48 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))) v)) (* (exp (* -1 (- 1 u))) (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) v)) (* -1/4 (* (exp (* -1 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v)) |
(* -1 (/ (- (* 4/3 (/ 1 v)) 2) v)) |
| Outputs |
|---|
(+ 1 (* 1/2 (* v (log (pow (exp (/ -2 v)) 2))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (/ (* u (* v (+ 1 (* -1 (exp (/ -2 v)))))) (exp (/ -2 v))))) |
(fma.f32 u (*.f32 v (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* 1/4 (* u (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) u) (*.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)) v) (*.f32 v (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u (fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* u (+ (* 1/12 (* u (* v (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))))))) (* 1/4 (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/12 binary32) u) (*.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) #s(literal 4 binary32)) v) (*.f32 (*.f32 #s(literal 1/4 binary32) v) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)))) u (*.f32 v (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u (fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(log (pow (exp (/ -2 v)) 2)) |
(log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* 2 (/ (* u (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 #s(literal 2 binary32) u) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 1/2 (* u (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))) (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) u (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))) (* u (+ (* 1/6 (* u (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)) #s(literal 1/2 binary32))) u (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) u (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) |
(pow (exp (/ -2 v)) 2) |
(exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) |
(+ (* 2 (* u (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))))) (pow (exp (/ -2 v)) 2)) |
(fma.f32 (*.f32 #s(literal 2 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) |
(+ (* u (+ (* 2 (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow (exp (/ -2 v)) 2)) |
(fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) u (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) |
-1 |
#s(literal -1 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(-.f32 (*.f32 (fma.f32 (*.f32 u (*.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))) #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 |
#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 (*.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) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32)) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 u (*.f32 v (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) #s(literal 1/3 binary32) (*.f32 (*.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32)) |
(- (* 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))) |
(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 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)) |
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(- (* 1/2 (* u (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
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(exp -1) |
(exp.f32 #s(literal -1 binary32)) |
(+ (exp -1) (* 1/2 (* u (* v (* (exp -1) (- (/ 1 (exp (/ -2 v))) 1)))))) |
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(+ 1 (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u))))))) |
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(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))) |
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(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
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1 |
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(exp (* -1 (- 1 u))) |
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(- 1 (* 2 (/ 1 v))) |
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(/ 2 v) |
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(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3/2 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -1/48 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (+ (* -1/384 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/48 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (+ (* -1/16 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)))))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
(fma.f32 (/.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 #s(literal -1/32 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 3/2 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 1/32 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal -1/12 binary32))) (*.f32 (fma.f32 #s(literal -1/384 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 1/48 binary32) (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32))))) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/48 binary32) (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))))))) #s(literal 6 binary32)))) v) #s(literal -1/3 binary32) (fma.f32 (fma.f32 #s(literal 1/32 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal -1/12 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 -1/16 binary32)))) (neg.f32 v))) v) #s(literal -1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(+ (* -1 (- 1 u)) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/16 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) v)) (* -1/4 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))) |
(-.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/32 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal -1/12 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 -1/16 binary32))) v) #s(literal -1/2 binary32) (*.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 -1/4 binary32))) v)) |
(+ (* -1 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3/2 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -1/48 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (+ (* -1/384 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/48 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/16 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))))) v)) (* -1/4 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))) |
(-.f32 (neg.f32 (-.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 -1/4 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/32 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 3/2 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 1/32 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal -1/12 binary32))) (*.f32 (fma.f32 #s(literal -1/384 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 1/48 binary32) (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32))))) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/48 binary32) (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))))))) #s(literal 6 binary32)))) v) #s(literal -1/6 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal 1/32 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal -1/12 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 -1/16 binary32))) #s(literal 1/2 binary32))) (neg.f32 v))) v)) |
(+ (exp (* -1 (- 1 u))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (- 1 u))) (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)))) v)) (* -1/4 (* (exp (* -1 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v))) |
(-.f32 (exp.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (neg.f32 (exp.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (/.f32 (fma.f32 #s(literal 1/32 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal -1/12 binary32))) v) (*.f32 (*.f32 (exp.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/4 binary32))) v)) |
(+ (exp (* -1 (- 1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (- 1 u))) (+ (* -1/48 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (+ (* -1/384 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/48 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))) v)) (* (exp (* -1 (- 1 u))) (+ (* -1/12 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/32 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) v)) (* -1/4 (* (exp (* -1 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v))) |
(-.f32 (exp.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (exp.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (neg.f32 (exp.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (/.f32 (fma.f32 #s(literal -1/384 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 1/48 binary32) (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32))))) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/48 binary32) (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))))))) v) (*.f32 (fma.f32 #s(literal 1/32 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal -1/12 binary32))) (exp.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (neg.f32 v))) v)) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) |
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v)) |
(/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)) |
(* -1 (/ (- (* 4/3 (/ 1 v)) 2) v)) |
(/.f32 (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (neg.f32 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 322 |
| 0 | 78 | 319 |
| 1 | 312 | 313 |
| 2 | 2341 | 311 |
| 0 | 8409 | 303 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(/.f32 v #s(literal 2 binary32)) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) |
#s(approx (+ 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 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))) |
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))) |
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))) |
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32))) |
(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)) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
#s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) |
(/.f32 #s(literal 4/3 binary32) v) |
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v) |
| Outputs |
|---|
(/.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) (neg.f32 v))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (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 (neg.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (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 (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 (neg.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))) |
(/.f32 (-.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 (-.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)))) (pow.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))) #s(literal 2 binary32))) |
(/.f32 (fma.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) #s(literal 1 binary32))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))))) |
(/.f32 (fma.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 (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)) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)))) (*.f32 (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (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) (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 (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 (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 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 #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 #s(literal 1 binary32) (*.f32 (neg.f32 (log.f32 (sqrt.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 (sqrt.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 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v)) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)))) (/.f32 v #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)) (neg.f32 (/.f32 v #s(literal 2 binary32)))))) |
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (neg.f32 v)))) |
(fma.f32 (*.f32 #s(literal 1 binary32) v) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 v #s(literal 4 binary32))) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (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 2 binary32)) #s(literal 1 binary32))) |
(fma.f32 (+.f32 (/.f32 v #s(literal 4 binary32)) (/.f32 v #s(literal 4 binary32))) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (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 2 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (/.f32 v #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 v #s(literal 2 binary32))) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
(fma.f32 (/.f32 v #s(literal 4 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) (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 2 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 (/.f32 v #s(literal 2 binary32)) (/.f32 v #s(literal 2 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 2 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 2 binary32)) #s(literal 1 binary32))) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (sqrt.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)) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) (*.f32 (/.f32 v #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) (/.f32 v #s(literal 2 binary32)) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) |
(fma.f32 (/.f32 v #s(literal 2 binary32)) (*.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (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 2 binary32)) #s(literal 1 binary32))) |
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(fma.f32 #s(literal 2 binary32) (*.f32 (log.f32 (sqrt.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 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (/.f32 v #s(literal 4 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 2 binary32)) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) (log.f32 (sqrt.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 u (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(fma.f32 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)))) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(pow.f32 (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 1 binary32)) |
(fabs.f32 (-.f32 (/.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)))) |
(fabs.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 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (/.f32 (*.f32 u u) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(fabs.f32 (-.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 #s(literal 1 binary32) u)) u)) |
(fabs.f32 (-.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) |
(fabs.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) |
(fabs.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(+.f32 (cosh.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (sinh.f32 (log.f32 (fma.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 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 (-.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)))) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(exp.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (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)))) (neg.f32 (+.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 (-.f32 (*.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 (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) (neg.f32 (exp.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))) |
(+.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)) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))))) (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 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))) |
(/.f32 (-.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (+.f32 (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 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (*.f32 (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) (*.f32 (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (+.f32 (+.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 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) (neg.f32 (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) |
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) |
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) |
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) |
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) |
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) |
(+.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) |
#s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) |
(/.f32 #s(literal -4/3 binary32) (neg.f32 (neg.f32 (neg.f32 v)))) |
(/.f32 #s(literal -4/3 binary32) (neg.f32 v)) |
(/.f32 #s(literal 4/3 binary32) (neg.f32 (neg.f32 v))) |
(/.f32 #s(literal 4/3 binary32) v) |
(neg.f32 (/.f32 #s(literal -4/3 binary32) v)) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 4/3 binary32) v) v) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal 4/3 binary32) v) v)))) |
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 8 binary32) (pow.f32 v #s(literal 3 binary32))) (pow.f32 (/.f32 (/.f32 #s(literal 4/3 binary32) v) v) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 4/3 binary32) v) v) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal 4/3 binary32) v) v)))))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v))))) (neg.f32 (neg.f32 (neg.f32 v)))) |
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal -2 binary32) v) (*.f32 (neg.f32 v) (/.f32 #s(literal 4/3 binary32) v)))) (neg.f32 (*.f32 (neg.f32 v) v))) |
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 2 binary32) v) (*.f32 v (/.f32 #s(literal 4/3 binary32) v)))) (neg.f32 (*.f32 v v))) |
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (neg.f32 v)) (*.f32 (neg.f32 v) (neg.f32 (/.f32 #s(literal 4/3 binary32) v)))) (*.f32 v v)) |
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 (neg.f32 v) v)) (*.f32 (neg.f32 v) #s(literal -4/3 binary32))) (*.f32 (neg.f32 v) (*.f32 (neg.f32 v) v))) |
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 v v)) (*.f32 (neg.f32 v) #s(literal 4/3 binary32))) (pow.f32 (neg.f32 v) #s(literal 3 binary32))) |
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (neg.f32 v)) (*.f32 (neg.f32 (neg.f32 v)) (neg.f32 (/.f32 #s(literal 4/3 binary32) v)))) (*.f32 (neg.f32 (neg.f32 v)) (neg.f32 v))) |
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (neg.f32 v) v)) (*.f32 (neg.f32 (neg.f32 v)) #s(literal -4/3 binary32))) (*.f32 (neg.f32 (neg.f32 v)) (*.f32 (neg.f32 v) v))) |
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) v) (*.f32 (neg.f32 (neg.f32 v)) (/.f32 #s(literal 4/3 binary32) v))) (*.f32 (neg.f32 (neg.f32 v)) v)) |
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 v v)) (*.f32 (neg.f32 (neg.f32 v)) #s(literal 4/3 binary32))) (*.f32 (neg.f32 (neg.f32 v)) (*.f32 v v))) |
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (neg.f32 v)) (*.f32 v (neg.f32 (/.f32 #s(literal 4/3 binary32) v)))) (*.f32 v (neg.f32 v))) |
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (neg.f32 v) v)) (*.f32 v #s(literal -4/3 binary32))) (*.f32 v (*.f32 (neg.f32 v) v))) |
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 v v)) (*.f32 v #s(literal 4/3 binary32))) (pow.f32 v #s(literal 3 binary32))) |
(/.f32 (-.f32 #s(literal -2 binary32) (neg.f32 (/.f32 #s(literal 4/3 binary32) v))) (neg.f32 v)) |
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 4/3 binary32) v) v) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal 4/3 binary32) v) v))) |
(/.f32 (-.f32 (/.f32 #s(literal 8 binary32) (pow.f32 v #s(literal 3 binary32))) (pow.f32 (/.f32 (/.f32 #s(literal 4/3 binary32) v) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 4/3 binary32) v) v) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal 4/3 binary32) v) v))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)))) (neg.f32 (neg.f32 v))) |
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)))) (neg.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v))) |
(/.f32 (neg.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 3 binary32)))) (neg.f32 (*.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) v))) |
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) v) (*.f32 (neg.f32 v) (/.f32 #s(literal 4/3 binary32) v))) (*.f32 (neg.f32 v) v)) |
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) v) (*.f32 v (/.f32 #s(literal 4/3 binary32) v))) (*.f32 v v)) |
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32))) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) |
(/.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 3 binary32))) (*.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) v)) |
(/.f32 (neg.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v))) (neg.f32 v)) |
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v) |
(-.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal 4/3 binary32) v) v)) |
(neg.f32 (/.f32 (neg.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v))) v)) |
(neg.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v))) |
Compiled 36 059 to 3 735 computations (89.6% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 731 | 15 | 746 |
| Fresh | 10 | 7 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 744 | 25 | 769 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (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)) |
| 2.2% | (fma.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) | |
| 99.5% | (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)) | |
| ▶ | 99.6% | (fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
| 99.0% | (fma.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (/.f32 v #s(literal 4 binary32))))) #s(literal 1 binary32)) | |
| 99.4% | (fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (/.f32 v #s(literal 4 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 2 binary32)) #s(literal 1 binary32))) | |
| 99.4% | (fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32)) | |
| 99.5% | (+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) | |
| ✓ | 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 95.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))) | |
| 11.8% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.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))) v) #s(literal 1/2 binary32) (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (/.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)))) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))) | |
| 13.5% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)))) | |
| ▶ | 11.8% | (+.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 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) |
| ✓ | 9.7% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
| 12.6% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))) #s(literal 2 binary32)))) | |
| 11.6% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))) #s(literal 2 binary32)))) | |
| ▶ | 11.0% | (+.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)))) |
| 13.5% | (+.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)))) | |
| 6.9% | #s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) | |
| ▶ | 87.2% | #s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(literal 1 binary32)) |
| 11.8% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.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 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) v) #s(literal 1/6 binary32))) v) #s(literal -1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) | |
| 4.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| 9.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) | |
| ✓ | 5.4% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 1 450 to 1 018 computations (29.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 #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))) | |
| 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 #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)))) | |
| 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 | 4 | (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) | |
| cost-diff | 0 | (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) | |
| cost-diff | 0 | (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) | |
| cost-diff | 0 | (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) | |
| 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 (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(literal 1 binary32)) | |
| cost-diff | 0 | (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) v) | |
| cost-diff | 0 | #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) | |
| cost-diff | 0 | (fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 720 |
| 0 | 116 | 716 |
| 1 | 204 | 716 |
| 2 | 475 | 710 |
| 3 | 1637 | 687 |
| 4 | 6928 | 687 |
| 0 | 8091 | 658 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
#s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) |
(*.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
v |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(literal 2 binary32) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) |
#s(literal 1 binary32) |
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v))) |
(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)) |
(-.f32 #s(literal 1 binary32) u) |
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) |
(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)))) |
#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 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) |
#s(literal -24 binary32) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) |
#s(literal 8 binary32) |
(*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) |
#s(literal 16 binary32) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
#s(literal 3 binary32) |
v |
(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 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
| Outputs |
|---|
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32)) |
#s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) |
(*.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
v |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) |
(log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) |
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(literal 2 binary32) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 u #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 u #s(literal -2 binary32)) (*.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 u #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 u #s(literal -2 binary32)) (*.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 u #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 u #s(literal -2 binary32)) (*.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 u #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 u #s(literal -2 binary32)) (*.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 u #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 u #s(literal -2 binary32)) (*.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 u #s(literal -2 binary32)) (*.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 u #s(literal -2 binary32)) (*.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal -4/3 binary32)))) |
(*.f32 #s(literal -2 binary32) u) |
(*.f32 u #s(literal -2 binary32)) |
#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 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) |
(+.f32 #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 (/.f32 #s(literal -1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) v))) #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 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v))) |
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) v))) |
(fma.f32 (-.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)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) v)) |
(-.f32 #s(literal 1 binary32) u) |
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) |
(/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) v) |
(fma.f32 #s(literal -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)))) |
(fma.f32 (/.f32 #s(literal -1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) |
#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) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) v) |
(fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) |
#s(literal -24 binary32) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) |
(fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32))) |
#s(literal 8 binary32) |
(*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)) |
#s(literal 16 binary32) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
#s(literal 3 binary32) |
v |
(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)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.6768914551372828 | (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) | |
| accuracy | 6.376053095404777 | (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 | 8.226095044410974 | (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) | |
| accuracy | 29.697547624469177 | #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v))) | |
| accuracy | 0.015625 | (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) | |
| accuracy | 0.04032003162065376 | (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) | |
| accuracy | 0.04907125946961356 | (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) | |
| accuracy | 0.11351679349377324 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 0.30859375 | (*.f32 #s(literal 4/3 binary32) u) | |
| accuracy | 0.37109375 | (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) | |
| accuracy | 10.411973578877818 | #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 | 30.10972532884629 | #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 | 4.083327923381764 | #s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(literal 1 binary32)) | |
| accuracy | 0.04032003162065376 | (fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) | |
| accuracy | 0.046875 | (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) | |
| accuracy | 0.07223380115753779 | (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) | |
| accuracy | 0.11351679349377324 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| 148.0ms | 256× | 0 | valid |
Compiled 551 to 67 computations (87.8% saved)
ival-mult: 31.0ms (28.3% of total)ival-add: 18.0ms (16.4% of total)ival-div: 15.0ms (13.7% of total)const: 12.0ms (11% of total)ival-log: 11.0ms (10% of total)ival-sub: 6.0ms (5.5% of total)ival-pow2: 5.0ms (4.6% of total)ival-expm1: 3.0ms (2.7% of total)ival-pow: 3.0ms (2.7% of total)ival-exp: 2.0ms (1.8% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
#s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) |
(*.f32 #s(literal 1/2 binary32) v) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(-.f32 #s(literal 1 binary32) u) |
(fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) |
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) |
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) |
#s(approx (* (* 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) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
| Outputs |
|---|
(+ 1 (* 1/2 (* v (log (pow (exp (/ -2 v)) 2))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (/ (* u (* v (+ 1 (* -1 (exp (/ -2 v)))))) (exp (/ -2 v))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* 1/4 (* u (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* u (+ (* 1/12 (* u (* v (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))))))) (* 1/4 (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(log (pow (exp (/ -2 v)) 2)) |
(+ (log (pow (exp (/ -2 v)) 2)) (* 2 (/ (* u (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 1/2 (* u (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))) (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))) (* u (+ (* 1/6 (* u (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))))) |
(* u (+ 4/3 (* 2/3 (/ 1 v)))) |
-1 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
-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) |
(/ -2 v) |
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
1 |
(+ 1 (* -1 u)) |
(* -8 u) |
(* u (- (* 24 u) 8)) |
(* u (- (* u (+ 24 (* -16 u))) 8)) |
(* 2 u) |
(* u (+ 2 (* -2 u))) |
(pow (exp (/ -2 v)) 2) |
(+ (* 2 (* u (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))))) (pow (exp (/ -2 v)) 2)) |
(+ (* u (+ (* 2 (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow (exp (/ -2 v)) 2)) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(* 4/3 u) |
(+ 1 (* -3 u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(+ 1 (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u))))))) |
(+ 1 (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ 1 (+ (* 1/4 (/ (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))) (pow u 2))) (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ 1 (+ (* 1/12 (/ (* v (+ (* -12 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 16 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))))) (pow u 3))) (+ (* 1/4 (/ (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))) (pow u 2))) (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow u 2))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (+ (* 1/6 (/ (+ (* -12 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 16 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (pow u 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow u 2))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))) |
(+ 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))))))))) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u)))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* -16 (pow u 3)) |
(* (pow u 3) (- (* 24 (/ 1 u)) 16)) |
(* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 2))))) |
(* -2 (pow u 2)) |
(* (pow u 2) (- (* 2 (/ 1 u)) 2)) |
(* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) |
(* (pow u 2) (+ (* 2 (/ (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))) u)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) |
(* (pow u 2) (+ (* 2 (/ (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))) u)) (+ (/ (pow (exp (/ -2 v)) 2) (pow u 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2))))) |
(+ 1 (* 1/2 (* v (+ (log (pow (- (exp (/ -2 v)) 1) 2)) (* -2 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* 1/2 (* v (+ (log (pow (- (exp (/ -2 v)) 1) 2)) (* -2 (log (/ -1 u)))))))) |
(+ 1 (+ (* -1 (/ (+ (* -1/4 (/ (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* 1/2 (* v (+ (log (pow (- (exp (/ -2 v)) 1) 2)) (* -2 (log (/ -1 u)))))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* v (+ (* -12 (/ (pow (exp (/ -2 v)) 3) (pow (- (exp (/ -2 v)) 1) 3))) (* 16 (/ (pow (exp (/ -2 v)) 3) (pow (- (exp (/ -2 v)) 1) 3))))) u)) (* 1/4 (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* 1/2 (* v (+ (log (pow (- (exp (/ -2 v)) 1) 2)) (* -2 (log (/ -1 u)))))))) |
(+ (log (pow (- (exp (/ -2 v)) 1) 2)) (* -2 (log (/ -1 u)))) |
(+ (log (pow (- (exp (/ -2 v)) 1) 2)) (+ (* -2 (log (/ -1 u))) (* -2 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1)))))) |
(+ (log (pow (- (exp (/ -2 v)) 1) 2)) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ (* -1/2 (/ (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2)))) u)) (* 2 (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1)))) u)))) |
(+ (log (pow (- (exp (/ -2 v)) 1) 2)) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -12 (/ (pow (exp (/ -2 v)) 3) (pow (- (exp (/ -2 v)) 1) 3))) (* 16 (/ (pow (exp (/ -2 v)) 3) (pow (- (exp (/ -2 v)) 1) 3)))) u)) (* 1/2 (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2)))))) u)) (* 2 (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 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))))))) |
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) |
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u))))) |
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1)))))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* (pow u 3) (- 16 (* 24 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 u))) u))))) |
(* (pow u 2) (pow (- (exp (/ -2 v)) 1) 2)) |
(* (pow u 2) (+ (* -2 (/ (* (exp (/ -2 v)) (- (exp (/ -2 v)) 1)) u)) (pow (- (exp (/ -2 v)) 1) 2))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow (exp (/ -2 v)) 2) u)) (* 2 (* (exp (/ -2 v)) (- (exp (/ -2 v)) 1)))) u)) (pow (- (exp (/ -2 v)) 1) 2))) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u))))) |
(+ 1 (* 1/2 (* v (log (pow (+ u (* (exp (/ -2 v)) (- 1 u))) 2))))) |
(* 1/2 v) |
(log (pow (+ u (* (exp (/ -2 v)) (- 1 u))) 2)) |
(* 2/3 (/ u v)) |
(/ (+ (* 2/3 u) (* 4/3 (* u v))) v) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(pow (+ u (* (exp (/ -2 v)) (- 1 u))) 2) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/4 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/12 (/ (+ (* -128 (pow (- 1 u) 3)) (+ (* 6 (+ (* -8 (pow (- 1 u) 2)) (* -8/3 (- 1 u)))) (* 24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))))) (pow v 2))) (* 1/4 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v))))) |
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(+ 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))) |
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(- (+ (* -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)) |
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) v)) (* 4 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) v)) (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2)))) v)) (* 4 (- 1 u))) v))) |
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | v | @ | 0 | ((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (* 1/2 v) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (exp (/ -2 v)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (* 4/3 u) (pow (- 1 u) 3)) |
| 5.0ms | u | @ | -inf | ((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (* 1/2 v) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (exp (/ -2 v)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (* 4/3 u) (pow (- 1 u) 3)) |
| 4.0ms | u | @ | inf | ((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (* 1/2 v) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (exp (/ -2 v)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (* 4/3 u) (pow (- 1 u) 3)) |
| 4.0ms | u | @ | 0 | ((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (* 1/2 v) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (exp (/ -2 v)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (* 4/3 u) (pow (- 1 u) 3)) |
| 2.0ms | v | @ | -inf | ((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (* 1/2 v) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) -2) (* (- 1 u) 2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (exp (/ -2 v)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (* 4/3 u) (pow (- 1 u) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 812 | 5812 |
| 1 | 2801 | 5469 |
| 0 | 8777 | 5004 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* 1/2 (* v (log (pow (exp (/ -2 v)) 2))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (/ (* u (* v (+ 1 (* -1 (exp (/ -2 v)))))) (exp (/ -2 v))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* 1/4 (* u (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* u (+ (* 1/12 (* u (* v (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))))))) (* 1/4 (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(log (pow (exp (/ -2 v)) 2)) |
(+ (log (pow (exp (/ -2 v)) 2)) (* 2 (/ (* u (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 1/2 (* u (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))) (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))) (* u (+ (* 1/6 (* u (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))))) |
(* u (+ 4/3 (* 2/3 (/ 1 v)))) |
-1 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
-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) |
(/ -2 v) |
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
1 |
(+ 1 (* -1 u)) |
(* -8 u) |
(* u (- (* 24 u) 8)) |
(* u (- (* u (+ 24 (* -16 u))) 8)) |
(* 2 u) |
(* u (+ 2 (* -2 u))) |
(pow (exp (/ -2 v)) 2) |
(+ (* 2 (* u (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))))) (pow (exp (/ -2 v)) 2)) |
(+ (* u (+ (* 2 (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow (exp (/ -2 v)) 2)) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(* 4/3 u) |
(+ 1 (* -3 u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(+ 1 (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u))))))) |
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(- (+ (* -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 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) v)) (* 4 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) v)) (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2)))) v)) (* 4 (- 1 u))) v))) |
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) |
| Outputs |
|---|
(+ 1 (* 1/2 (* v (log (pow (exp (/ -2 v)) 2))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (/ (* u (* v (+ 1 (* -1 (exp (/ -2 v)))))) (exp (/ -2 v))))) |
(fma.f32 (*.f32 u v) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* 1/4 (* u (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal 1/4 binary32) v)) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)) (/.f32 (fma.f32 (neg.f32 v) (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) u (fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* u (+ (* 1/12 (* u (* v (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))))))) (* 1/4 (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/12 binary32) u) v) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 1/4 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))))) #s(literal -2 binary32))) u (/.f32 (fma.f32 (neg.f32 v) (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) u (fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(log (pow (exp (/ -2 v)) 2)) |
(log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* 2 (/ (* u (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) |
(fma.f32 (*.f32 u #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 1/2 (* u (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))) (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))) |
(fma.f32 (fma.f32 (*.f32 u #s(literal 1/2 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 -2 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) u (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) |
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))) (* u (+ (* 1/6 (* u (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 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))) #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -2 binary32))) u (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) u (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) |
(* u (+ 4/3 (* 2/3 (/ 1 v)))) |
(*.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) u) |
-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 u 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) (*.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 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) v) u) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))) #s(literal 1/3 binary32) (*.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)))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)) |
-2 |
#s(literal -2 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(-.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u 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) (*.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 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) v) u) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))) #s(literal 1/3 binary32) (*.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)))))) 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)) |
(/ -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 #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 (* -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 #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 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))) u (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u) (/.f32 #s(literal 2 binary32) v)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(* -8 u) |
(*.f32 #s(literal -8 binary32) u) |
(* u (- (* 24 u) 8)) |
(*.f32 (-.f32 (*.f32 #s(literal 24 binary32) u) #s(literal 8 binary32)) u) |
(* u (- (* u (+ 24 (* -16 u))) 8)) |
(*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u) |
(* 2 u) |
(*.f32 u #s(literal 2 binary32)) |
(* u (+ 2 (* -2 u))) |
(*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) |
(pow (exp (/ -2 v)) 2) |
(exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) |
(+ (* 2 (* u (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))))) (pow (exp (/ -2 v)) 2)) |
(fma.f32 (*.f32 (*.f32 u #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) |
(+ (* u (+ (* 2 (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow (exp (/ -2 v)) 2)) |
(fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) u (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(* 4/3 u) |
(*.f32 #s(literal 4/3 binary32) u) |
(+ 1 (* -3 u)) |
(fma.f32 #s(literal -3 binary32) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* 3 u) 3))) |
(fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) u) #s(literal 3 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) u) #s(literal 3 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u))))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) v) (-.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (*.f32 (log.f32 u) #s(literal -2 binary32))) #s(literal 1 binary32)) |
(+ 1 (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) v) (-.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (*.f32 (log.f32 u) #s(literal -2 binary32))) (fma.f32 (/.f32 v (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 1 binary32))) |
(+ 1 (+ (* 1/4 (/ (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))) (pow u 2))) (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) u) (/.f32 (*.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) #s(literal -2 binary32)) v) u) (fma.f32 (*.f32 #s(literal 1/2 binary32) v) (-.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (*.f32 (log.f32 u) #s(literal -2 binary32))) (fma.f32 (/.f32 v (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 1 binary32)))) |
(+ 1 (+ (* 1/12 (/ (* v (+ (* -12 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 16 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))))) (pow u 3))) (+ (* 1/4 (/ (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))) (pow u 2))) (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(fma.f32 (*.f32 v (/.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 3 binary32)) #s(literal 4 binary32)) (pow.f32 u #s(literal 3 binary32)))) #s(literal 1/12 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) u) (/.f32 (*.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) #s(literal -2 binary32)) v) u) (fma.f32 (*.f32 #s(literal 1/2 binary32) v) (-.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (*.f32 (log.f32 u) #s(literal -2 binary32))) (fma.f32 (/.f32 v (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 1 binary32))))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))) |
(-.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (*.f32 (log.f32 u) #s(literal -2 binary32))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(fma.f32 #s(literal -2 binary32) (-.f32 (neg.f32 (log.f32 u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) |
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow u 2))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
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(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (fma.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal 8 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -16 binary32))) #s(literal -1/4 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -1536 binary32) (fma.f32 (*.f32 #s(literal -96 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 8/3 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 8 binary32))) (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 2 binary32)) #s(literal -12 binary32) (fma.f32 (*.f32 #s(literal 1536 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u))) (pow.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 28/3 binary32) (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 24 binary32)))))) v) #s(literal 1/48 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -96 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 128 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 #s(literal 48 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) #s(literal -1/12 binary32))) (neg.f32 v))) v)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v)) (* 4 (- 1 u))) v)) |
(/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal 8 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -16 binary32))) v) #s(literal -1/2 binary32) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) u))) (neg.f32 v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v)) (* 4 (- 1 u))) v)) |
(/.f32 (fma.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -96 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 128 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 #s(literal 48 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) v) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal 8 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -16 binary32))) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -1536 (pow (- 1 u) 4)) (+ (* -96 (* (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) (- 1 u))) (+ (* -12 (pow (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) 2)) (+ (* 24 (+ (* 4/3 (- 1 u)) (+ (* 4 (pow (- 1 u) 2)) (* 16/3 (pow (- 1 u) 2))))) (* 384 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (pow (- 1 u) 2))))))) v)) (* 1/6 (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v)) (* 4 (- 1 u))) v)) |
(/.f32 (fma.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (fma.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal 8 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -16 binary32))) #s(literal 1/2 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 -1536 binary32) (fma.f32 (*.f32 #s(literal -96 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 8/3 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 8 binary32))) (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 2 binary32)) #s(literal -12 binary32) (fma.f32 (*.f32 #s(literal 1536 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u))) (pow.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 28/3 binary32) (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 24 binary32)))))) v) (*.f32 (fma.f32 (*.f32 #s(literal -96 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 128 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 #s(literal 48 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) #s(literal 1/6 binary32))) (neg.f32 v))) (neg.f32 v))) (neg.f32 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)))) |
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #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 #s(literal 2 binary32) (pow.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 (/.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) v) #s(literal 1/24 binary32) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32))) (neg.f32 v)))) v)) |
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))) |
(-.f32 (*.f32 (-.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #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))) |
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (pow.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 (/.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) v) #s(literal 1/24 binary32) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32))) (neg.f32 v)))) v)) |
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 2) |
(-.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) |
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 2) |
(-.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 v))) #s(literal 2 binary32)) |
(* -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 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) (neg.f32 v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(/.f32 (fma.f32 (-.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal -1/6 binary32) (fma.f32 #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (neg.f32 v))) (neg.f32 v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (pow.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 (/.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) v) #s(literal -1/24 binary32) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/6 binary32))) (neg.f32 v)))) (neg.f32 v))) (neg.f32 v)) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 #s(literal 1 binary32) u))) v)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.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)) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) v)) (* 4 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (*.f32 #s(literal -4 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u))) v)) v)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) v)) (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2)))) v)) (* 4 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 #s(literal 4 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal 8/3 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 8 binary32))) (neg.f32 v))) (neg.f32 v))) v)) |
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) |
(fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v))) |
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) |
(fma.f32 u #s(literal 2 binary32) (/.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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 434 |
| 0 | 116 | 430 |
| 1 | 459 | 425 |
| 2 | 3636 | 425 |
| 0 | 8145 | 417 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
#s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) |
(*.f32 #s(literal 1/2 binary32) v) |
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(-.f32 #s(literal 1 binary32) u) |
(fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) |
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) |
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) |
#s(approx (* (* 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) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
| Outputs |
|---|
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) 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) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) 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) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) 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) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))))))) |
(/.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) 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) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))))))) |
(/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) 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) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))))))) |
(-.f32 (/.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) 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) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))) #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) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)))) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v))) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))))) |
(fma.f32 (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal 2 binary32) #s(approx (/ v 2) (*.f32 #s(literal 1/2 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) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #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) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (*.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(fma.f32 #s(literal 2 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)) |
(+.f32 (/.f32 (*.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))) (fma.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) 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) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) 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) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) 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) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))) #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) (*.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))))) |
#s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) |
(*.f32 #s(literal 1/2 binary32) v) |
(*.f32 v #s(literal 1/2 binary32)) |
(log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) |
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 2 binary32)) |
(*.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)))) |
(*.f32 #s(literal 2 binary32) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) |
(-.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 u u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (log.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(-.f32 (log.f32 (*.f32 (-.f32 (*.f32 u u) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (log.f32 (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(-.f32 (log.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (log.f32 (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 (log.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (log.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (*.f32 u u)))) |
(-.f32 (log.f32 (*.f32 (fma.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 u u)))) (log.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(-.f32 (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))))) (log.f32 (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(-.f32 (log.f32 (*.f32 (fma.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 3 binary32)) (pow.f32 u #s(literal 3 binary32))))) (log.f32 (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 (log.f32 (*.f32 (fma.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 3 binary32)) (pow.f32 u #s(literal 3 binary32))))) (log.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (*.f32 u u)))) |
(-.f32 (log.f32 (pow.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)) #s(literal 2 binary32))) (log.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32)))) |
(-.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 u u)) (-.f32 (*.f32 u u) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))))) (log.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(-.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 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))))) (log.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (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)))))) |
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(+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (*.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) |
(+.f32 (*.f32 u (fma.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))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) |
(+.f32 (*.f32 (fma.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 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) u)) |
(+.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) u) (*.f32 (fma.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 (cosh.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)))) |
#s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 u #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 u #s(literal -2 binary32)) (/.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)) |
(*.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32)) (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) |
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) |
(/.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (+.f32 u #s(literal 1 binary32))) #s(literal 3 binary32))) |
(/.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal 3 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 3 binary32)) (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 3 binary32))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 3 binary32))) |
(pow.f32 (exp.f32 #s(literal 3 binary32)) (log.f32 (-.f32 #s(literal 1 binary32) u))) |
(pow.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 3/2 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) |
(+.f32 (cosh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (sinh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) |
(exp.f32 (fma.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32) (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32)))) |
(exp.f32 (fma.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u)))) |
(exp.f32 (+.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) #s(literal 3/2 binary32))) |
(exp.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) |
Compiled 42 570 to 4 623 computations (89.1% saved)
30 alts after pruning (24 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 770 | 12 | 782 |
| Fresh | 5 | 12 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 777 | 30 | 807 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (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)) |
| 2.2% | (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) u)) v #s(literal 1 binary32)) | |
| ▶ | 97.0% | (fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
| 99.5% | (fma.f32 (log.f32 (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)) | |
| ▶ | 99.6% | (fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
| ✓ | 99.6% | (fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
| 99.0% | (fma.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (/.f32 v #s(literal 4 binary32))))) #s(literal 1 binary32)) | |
| 99.4% | (fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (/.f32 v #s(literal 4 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 2 binary32)) #s(literal 1 binary32))) | |
| 99.4% | (fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32)) | |
| 99.5% | (+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) | |
| ✓ | 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 95.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))) | |
| 11.8% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 24 binary32) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v))))) | |
| 13.5% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)))) | |
| 11.8% | (+.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 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) | |
| 11.5% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 #s(literal 24 binary32) u) #s(literal 8 binary32)) u)) 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)))) | |
| 11.7% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 #s(literal -8 binary32) u)) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) | |
| ✓ | 9.7% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
| 12.6% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))) #s(literal 2 binary32)))) | |
| 11.6% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))) #s(literal 2 binary32)))) | |
| 10.9% | (+.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)))) | |
| 11.0% | (+.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)))) | |
| 13.5% | (+.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)))) | |
| ▶ | 6.9% | #s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
| ✓ | 87.2% | #s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(literal 1 binary32)) |
| ▶ | 11.8% | #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 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v))) |
| 4.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| ▶ | 9.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
| ✓ | 5.4% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 1 867 to 1 290 computations (30.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v)) | |
| cost-diff | 0 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v))) | |
| cost-diff | 2 | (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) | |
| cost-diff | 4 | (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) | |
| cost-diff | 0 | #s(approx (- 1 u) #s(literal 1 binary32)) | |
| cost-diff | 0 | (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) | |
| cost-diff | 0 | (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) | |
| cost-diff | 0 | (fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) | |
| cost-diff | 0 | (*.f32 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 1 binary32)) | |
| cost-diff | 0 | #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))) | |
| 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 (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) | |
| cost-diff | 0 | (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) | |
| cost-diff | 0 | (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) | |
| cost-diff | 0 | (fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) | |
| cost-diff | 1 | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 486 |
| 0 | 92 | 484 |
| 1 | 163 | 484 |
| 2 | 392 | 479 |
| 3 | 1466 | 467 |
| 4 | 6152 | 467 |
| 0 | 8423 | 443 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
(log.f32 (+.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 (-.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(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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) |
#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))) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(*.f32 u v) |
u |
v |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
#s(literal 1 binary32) |
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
#s(approx (- 1 u) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
u |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v))) |
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #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) #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) u) |
#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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v) |
(fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) |
(fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) |
#s(literal -24 binary32) |
(pow.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 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
#s(literal 3 binary32) |
#s(literal 16 binary32) |
(*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)) |
#s(literal 8 binary32) |
v |
#s(literal 1/6 binary32) |
(fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) |
| Outputs |
|---|
(fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) |
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(*.f32 (-.f32 #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) |
#s(literal 1 binary32) |
u |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(literal -2 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) #s(literal 1 binary32))) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) #s(literal 1 binary32)) |
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) |
(*.f32 u v) |
(*.f32 v u) |
u |
v |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
#s(literal 1 binary32) |
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
#s(approx (- 1 u) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/.f32 #s(literal -2 binary32) v) |
#s(literal -2 binary32) |
v |
u |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #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 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))) v))) |
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v)) |
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))) v)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) |
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) u) |
#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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))) v) |
(fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) |
(fma.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) v) |
(fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) |
#s(literal -24 binary32) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
#s(literal 3 binary32) |
#s(literal 16 binary32) |
(*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)) |
#s(literal 8 binary32) |
v |
#s(literal 1/6 binary32) |
(fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) |
(*.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) |
(*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.6768914551372828 | (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) | |
| accuracy | 6.376053095404777 | (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) | |
| accuracy | 8.226095044410974 | (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) | |
| accuracy | 28.222950419420545 | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v))) | |
| accuracy | 0.04032003162065376 | (fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) | |
| accuracy | 0.04907125946961356 | (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) | |
| accuracy | 0.11351679349377324 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) | |
| accuracy | 15.534753026864307 | #s(approx (- 1 u) #s(literal 1 binary32)) | |
| accuracy | 0.01171875 | (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) | |
| accuracy | 0.03515625 | (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) | |
| accuracy | 0.12124604932875212 | (expm1.f32 (/.f32 #s(literal 2 binary32) v)) | |
| accuracy | 28.883604219995114 | #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))) | |
| accuracy | 0.0 | (-.f32 #s(literal 1 binary32) u) | |
| accuracy | 0.5403263913888436 | (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) | |
| accuracy | 29.777883156645547 | #s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) | |
| accuracy | 0.02734375 | (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) | |
| accuracy | 0.04032003162065376 | (fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) | |
| accuracy | 0.04907125946961356 | (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) | |
| accuracy | 0.11351679349377324 | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| 98.0ms | 256× | 0 | valid |
Compiled 449 to 52 computations (88.4% saved)
ival-mult: 22.0ms (28% of total)ival-add: 14.0ms (17.8% of total)ival-div: 9.0ms (11.4% of total)ival-log: 7.0ms (8.9% of total)const: 6.0ms (7.6% of total)ival-sub: 5.0ms (6.4% of total)ival-pow2: 5.0ms (6.4% of total)ival-expm1: 4.0ms (5.1% of total)ival-pow: 3.0ms (3.8% of total)ival-exp: 2.0ms (2.5% of total)exact: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
(fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
(log.f32 (+.f32 (*.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))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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(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))) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(*.f32 u v) |
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
#s(approx (- 1 u) #s(literal 1 binary32)) |
(fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 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 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v))) |
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
| Outputs |
|---|
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
-1 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(/ -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)) (* -1 (* u (exp (/ -2 v))))) |
(+ 1 (* 1/2 (* v (log (pow (exp (/ -2 v)) 2))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (/ (* u (* v (+ 1 (* -1 (exp (/ -2 v)))))) (exp (/ -2 v))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* 1/4 (* u (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* u (+ (* 1/12 (* u (* v (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))))))) (* 1/4 (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(- (* 2 u) 1) |
1 |
(+ 1 (* -1 u)) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 1) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(* u v) |
(* -8 u) |
(* u (- (* 24 u) 8)) |
(* u (- (* u (+ 24 (* -16 u))) 8)) |
(* -2 u) |
(* u (- (* 2 u) 2)) |
(- (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v)))) (* 2 (/ 1 v)))) 1) |
(- (* u (- (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) (* 2 (/ 1 v)))) 1) |
(- (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 4 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))))) (* 2 (/ 1 v)))) 1) |
(+ 1 (* -3 u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(+ 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)))))))))) |
(* -1 (* u (exp (/ -2 v)))) |
(* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))) |
(+ 1 (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u))))))) |
(+ 1 (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ 1 (+ (* 1/4 (/ (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))) (pow u 2))) (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ 1 (+ (* 1/12 (/ (* v (+ (* -12 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 16 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))))) (pow u 3))) (+ (* 1/4 (/ (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))) (pow u 2))) (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(* 2 u) |
(* u (- 2 (/ 1 u))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (- (* v (- (exp (/ 2 v)) 1)) (/ 1 u))) |
(* -16 (pow u 3)) |
(* (pow u 3) (- (* 24 (/ 1 u)) 16)) |
(* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 2))))) |
(* 2 (pow u 2)) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 1 (pow u 3)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2))))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1)))))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))))) |
(+ 1 (* 1/2 (* v (+ (log (pow (- (exp (/ -2 v)) 1) 2)) (* -2 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* 1/2 (* v (+ (log (pow (- (exp (/ -2 v)) 1) 2)) (* -2 (log (/ -1 u)))))))) |
(+ 1 (+ (* -1 (/ (+ (* -1/4 (/ (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* 1/2 (* v (+ (log (pow (- (exp (/ -2 v)) 1) 2)) (* -2 (log (/ -1 u)))))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* v (+ (* -12 (/ (pow (exp (/ -2 v)) 3) (pow (- (exp (/ -2 v)) 1) 3))) (* 16 (/ (pow (exp (/ -2 v)) 3) (pow (- (exp (/ -2 v)) 1) 3))))) u)) (* 1/4 (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* 1/2 (* v (+ (log (pow (- (exp (/ -2 v)) 1) 2)) (* -2 (log (/ -1 u)))))))) |
(* -1 (* u (- (/ 1 u) 2))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)))) |
(* -1 (* (pow u 3) (- 16 (* 24 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 v)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ 1 v)) (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u))))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(* (exp (/ -2 v)) (- 1 u)) |
(+ 1 (* 1/2 (* v (log (pow (+ u (* (exp (/ -2 v)) (- 1 u))) 2))))) |
(* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (pow v 2))) |
(/ (- (* -1 (* v (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) (pow v 2)) |
(/ (- (* v (- (* v (+ 1 (* -2 (- 1 u)))) (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) (pow v 2)) |
(- (exp (/ 2 v)) 1) |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) |
(+ 1 (* -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 u) |
(- (+ 1 (* -2 (/ (- 1 u) v))) u) |
(- (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) u) |
(- (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) u) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/4 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/12 (/ (+ (* -128 (pow (- 1 u) 3)) (+ (* 6 (+ (* -8 (pow (- 1 u) 2)) (* -8/3 (- 1 u)))) (* 24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))))) (pow v 2))) (* 1/4 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v))))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/48 (/ (+ (* -1536 (pow (- 1 u) 4)) (+ (* -12 (pow (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) 2)) (+ (* 24 (+ (* 4/3 (- 1 u)) (+ (* 4 (pow (- 1 u) 2)) (* 16/3 (pow (- 1 u) 2))))) (+ (* 96 (* (+ (* -8 (pow (- 1 u) 2)) (* -8/3 (- 1 u))) (- 1 u))) (* 384 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (pow (- 1 u) 2))))))) (pow v 3))) (+ (* 1/12 (/ (+ (* -128 (pow (- 1 u) 3)) (+ (* 6 (+ (* -8 (pow (- 1 u) 2)) (* -8/3 (- 1 u)))) (* 24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))))) (pow v 2))) (* 1/4 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v)))))) |
(- (+ (* 2 u) (* 2 (/ u v))) 1) |
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1) |
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 1) |
(+ (* 2 u) (* 2 (/ u v))) |
(+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) |
(+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) |
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(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
(/ 2 v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v) |
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v) |
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(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -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))) u) |
(- (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) u) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/4 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2)))))) (* 1/12 (/ (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))) v))) v)))) |
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(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 1) |
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) |
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(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | v | @ | 0 | ((+ (* (- 1 u) (exp (/ -2 v))) u) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (* (- 1 u) (exp (/ -2 v))) (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (+ (* (- 1 u) -2) 1) (- 1 u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 1) (* (* u v) (- (exp (/ 2 v)) 1)) (* u v) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3)) |
| 5.0ms | u | @ | 0 | ((+ (* (- 1 u) (exp (/ -2 v))) u) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (* (- 1 u) (exp (/ -2 v))) (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (+ (* (- 1 u) -2) 1) (- 1 u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 1) (* (* u v) (- (exp (/ 2 v)) 1)) (* u v) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3)) |
| 4.0ms | u | @ | -inf | ((+ (* (- 1 u) (exp (/ -2 v))) u) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (* (- 1 u) (exp (/ -2 v))) (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (+ (* (- 1 u) -2) 1) (- 1 u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 1) (* (* u v) (- (exp (/ 2 v)) 1)) (* u v) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3)) |
| 3.0ms | u | @ | inf | ((+ (* (- 1 u) (exp (/ -2 v))) u) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (* (- 1 u) (exp (/ -2 v))) (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (+ (* (- 1 u) -2) 1) (- 1 u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 1) (* (* u v) (- (exp (/ 2 v)) 1)) (* u v) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3)) |
| 3.0ms | v | @ | -inf | ((+ (* (- 1 u) (exp (/ -2 v))) u) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (* (- 1 u) (exp (/ -2 v))) (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (+ (* (- 1 u) -2) 1) (- 1 u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 1) (* (* u v) (- (exp (/ 2 v)) 1)) (* u v) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 797 | 4341 |
| 1 | 2658 | 4126 |
| 0 | 8249 | 3827 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
-1 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(/ -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)) (* -1 (* u (exp (/ -2 v))))) |
(+ 1 (* 1/2 (* v (log (pow (exp (/ -2 v)) 2))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (/ (* u (* v (+ 1 (* -1 (exp (/ -2 v)))))) (exp (/ -2 v))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* 1/4 (* u (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* u (+ (* 1/12 (* u (* v (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))))))) (* 1/4 (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(- (* 2 u) 1) |
1 |
(+ 1 (* -1 u)) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 1) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(* u v) |
(* -8 u) |
(* u (- (* 24 u) 8)) |
(* u (- (* u (+ 24 (* -16 u))) 8)) |
(* -2 u) |
(* u (- (* 2 u) 2)) |
(- (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v)))) (* 2 (/ 1 v)))) 1) |
(- (* u (- (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) (* 2 (/ 1 v)))) 1) |
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(+ 1 (* -3 u)) |
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(* u (+ 1 (* -1 (exp (/ -2 v))))) |
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(* -1 (* u (exp (/ -2 v)))) |
(* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))) |
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(* 2 u) |
(* u (- 2 (/ 1 u))) |
(* -1 u) |
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(* -16 (pow u 3)) |
(* (pow u 3) (- (* 24 (/ 1 u)) 16)) |
(* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 2))))) |
(* 2 (pow u 2)) |
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(* 8/3 (/ (pow u 3) (pow v 2))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 1 (pow u 3)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2))))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
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(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 v)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ 1 v)) (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u))))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(* (exp (/ -2 v)) (- 1 u)) |
(+ 1 (* 1/2 (* v (log (pow (+ u (* (exp (/ -2 v)) (- 1 u))) 2))))) |
(* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (pow v 2))) |
(/ (- (* -1 (* v (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) (pow v 2)) |
(/ (- (* v (- (* v (+ 1 (* -2 (- 1 u)))) (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) (pow v 2)) |
(- (exp (/ 2 v)) 1) |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) |
(+ 1 (* -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 u) |
(- (+ 1 (* -2 (/ (- 1 u) v))) u) |
(- (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) u) |
(- (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) u) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/4 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/12 (/ (+ (* -128 (pow (- 1 u) 3)) (+ (* 6 (+ (* -8 (pow (- 1 u) 2)) (* -8/3 (- 1 u)))) (* 24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))))) (pow v 2))) (* 1/4 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v))))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/48 (/ (+ (* -1536 (pow (- 1 u) 4)) (+ (* -12 (pow (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) 2)) (+ (* 24 (+ (* 4/3 (- 1 u)) (+ (* 4 (pow (- 1 u) 2)) (* 16/3 (pow (- 1 u) 2))))) (+ (* 96 (* (+ (* -8 (pow (- 1 u) 2)) (* -8/3 (- 1 u))) (- 1 u))) (* 384 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (pow (- 1 u) 2))))))) (pow v 3))) (+ (* 1/12 (/ (+ (* -128 (pow (- 1 u) 3)) (+ (* 6 (+ (* -8 (pow (- 1 u) 2)) (* -8/3 (- 1 u)))) (* 24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))))) (pow v 2))) (* 1/4 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v)))))) |
(- (+ (* 2 u) (* 2 (/ u v))) 1) |
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1) |
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 1) |
(+ (* 2 u) (* 2 (/ u v))) |
(+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) |
(+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))) v)))) |
(- (+ 1 (+ (* -2 (- 1 u)) (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (pow v 2))))) (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (pow (- 1 u) 2) v)))) |
(- 1 (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
(/ 2 v) |
(/ (+ 2 (* 2 (/ 1 v))) v) |
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v) |
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v) |
(+ 1 (* -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 (- 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))) u) |
(- (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) u) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/4 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2)))))) (* 1/12 (/ (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3))))) (* 1/48 (/ (+ (* -1536 (pow (- 1 u) 4)) (+ (* -96 (* (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) (- 1 u))) (+ (* -12 (pow (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) 2)) (+ (* 24 (+ (* 4/3 (- 1 u)) (+ (* 4 (pow (- 1 u) 2)) (* 16/3 (pow (- 1 u) 2))))) (* 384 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (pow (- 1 u) 2))))))) v))) v)) (* -1/4 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v)))) |
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 1) |
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (- (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* -1 (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) v)))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v)) |
| Outputs |
|---|
(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) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
-1 |
#s(literal -1 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 v u) (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 (*.f32 (*.f32 v u) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.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)) (* -1 (* u (exp (/ -2 v))))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(+ 1 (* 1/2 (* v (log (pow (exp (/ -2 v)) 2))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (/ (* u (* v (+ 1 (* -1 (exp (/ -2 v)))))) (exp (/ -2 v))))) |
(fma.f32 u (*.f32 v (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* 1/4 (* u (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) u) (*.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)) v) (*.f32 v (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u (fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* u (+ (* 1/12 (* u (* v (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))))))) (* 1/4 (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/12 binary32) u) (*.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) #s(literal 4 binary32)) v) (*.f32 (*.f32 #s(literal 1/4 binary32) v) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)))) u (*.f32 v (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u (fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(- (* 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) |
(- (* u (* v (- (exp (/ 2 v)) 1))) 1) |
(-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(* u (* v (- (exp (/ 2 v)) 1))) |
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(* u v) |
(*.f32 v u) |
(* -8 u) |
(*.f32 #s(literal -8 binary32) u) |
(* u (- (* 24 u) 8)) |
(*.f32 (-.f32 (*.f32 #s(literal 24 binary32) u) #s(literal 8 binary32)) u) |
(* u (- (* u (+ 24 (* -16 u))) 8)) |
(*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u) |
(* -2 u) |
(*.f32 #s(literal -2 binary32) u) |
(* u (- (* 2 u) 2)) |
(*.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u) |
(- (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v)))) (* 2 (/ 1 v)))) 1) |
(-.f32 (*.f32 (-.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)) |
(- (* u (- (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) (* 2 (/ 1 v)))) 1) |
(-.f32 (*.f32 (-.f32 (fma.f32 (neg.f32 u) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)) |
(- (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 4 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))))) (* 2 (/ 1 v)))) 1) |
(-.f32 (*.f32 (-.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 (-.f32 (*.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32)) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)) |
(+ 1 (* -3 u)) |
(fma.f32 #s(literal -3 binary32) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* 3 u) 3))) |
(fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) u) #s(literal 3 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) u) #s(literal 3 binary32)) u #s(literal 1 binary32)) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(fma.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u u) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(fma.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
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(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) |
(/.f32 (-.f32 (/.f32 (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 | 56 | 316 |
| 0 | 92 | 314 |
| 1 | 383 | 309 |
| 2 | 3102 | 309 |
| 0 | 11070 | 303 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
(fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
(log.f32 (+.f32 (*.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))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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(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))) |
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)) |
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) |
(*.f32 u v) |
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
(fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
#s(approx (- 1 u) #s(literal 1 binary32)) |
(fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 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 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v))) |
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(expm1.f32 (/.f32 #s(literal 2 binary32) v)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
| Outputs |
|---|
(*.f32 (neg.f32 (sqrt.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (neg.f32 (sqrt.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) |
(*.f32 (fabs.f32 (sqrt.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (fabs.f32 (sqrt.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) |
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (sqrt.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) |
(sqrt.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) |
(/.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (*.f32 u u)) (*.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (*.f32 u u)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))) (pow.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (*.f32 u u)) #s(literal 2 binary32))) |
(/.f32 (fma.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (*.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (pow.f32 u #s(literal 3 binary32)))) (pow.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) #s(literal 2 binary32))) |
(/.f32 (fabs.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) (fabs.f32 (fma.f32 u u (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 u (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) |
(/.f32 (fabs.f32 (neg.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))))) (fabs.f32 (neg.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 (fabs.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 u u)))) (fabs.f32 (neg.f32 (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)))) |
(/.f32 (fabs.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))) (fabs.f32 (neg.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (*.f32 u u))))) |
(/.f32 (fabs.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))) (fabs.f32 (neg.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))))) |
(/.f32 (fabs.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)))) (fabs.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (fabs.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 u u))) (fabs.f32 (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))) |
(/.f32 (fabs.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32)))) (fabs.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (*.f32 u u)))) |
(/.f32 (fabs.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32)))) (fabs.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))) |
(/.f32 (exp.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))))) (exp.f32 (log.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 u u)))) (exp.f32 (log.f32 (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)))) |
(/.f32 (exp.f32 (log.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))) (exp.f32 (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (*.f32 u u))))) |
(/.f32 (exp.f32 (log.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))) (exp.f32 (log.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))))) |
(/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (fma.f32 u u (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 u (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(/.f32 (neg.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)))) (neg.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 u u))) (neg.f32 (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (*.f32 u u)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))) |
(/.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 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 u u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) |
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (*.f32 u u))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (*.f32 u u) (-.f32 u (*.f32 (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 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) 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 #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) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) 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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(pow.f32 (sqrt.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 1 binary32)) |
(fabs.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (/.f32 (*.f32 u u) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))) |
(fabs.f32 (-.f32 (/.f32 (*.f32 u u) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)))) |
(fabs.f32 (-.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 #s(literal 1 binary32) u)) u)) |
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(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 3/2 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) |
(+.f32 (cosh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (sinh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) |
(exp.f32 (fma.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32) (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32)))) |
(exp.f32 (fma.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u)))) |
(exp.f32 (+.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) #s(literal 3/2 binary32))) |
(exp.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) |
Compiled 50 245 to 4 699 computations (90.6% saved)
33 alts after pruning (24 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 849 | 11 | 860 |
| Fresh | 6 | 13 | 19 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 5 | 6 |
| Total | 857 | 33 | 890 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (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)) |
| ✓ | 97.0% | (fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
| 99.5% | (fma.f32 (log.f32 (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)) | |
| ✓ | 99.6% | (fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
| 99.0% | (fma.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (/.f32 v #s(literal 4 binary32))))) #s(literal 1 binary32)) | |
| 99.4% | (fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (/.f32 v #s(literal 4 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 2 binary32)) #s(literal 1 binary32))) | |
| 99.4% | (fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32)) | |
| 99.5% | (+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) | |
| ✓ | 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 95.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))) | |
| 11.8% | (+.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 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) | |
| 11.5% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 #s(literal 24 binary32) u) #s(literal 8 binary32)) u)) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) | |
| ✓ | 9.7% | (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) |
| 10.9% | (+.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)))) | |
| 11.0% | (+.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)))) | |
| 13.5% | (+.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)))) | |
| ✓ | 6.9% | #s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
| 6.9% | #s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 1 binary32)))) | |
| 6.9% | #s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) | |
| 19.8% | #s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u))) | |
| ✓ | 87.2% | #s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(literal 1 binary32)) |
| 11.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v))) | |
| 4.1% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) | |
| ✓ | 9.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) |
| 12.6% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))) #s(literal 1 binary32))) | |
| 11.6% | #s(approx (+ 1 (* 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 1 binary32))) | |
| 11.0% | #s(approx (+ 1 (* 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 1 binary32))) | |
| 13.5% | #s(approx (+ 1 (* 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 1 binary32))) | |
| 13.5% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) | |
| 8.5% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (fma.f32 (neg.f32 u) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) | |
| 8.7% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 (-.f32 (*.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32)) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) | |
| ✓ | 5.4% | #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Compiled 3 492 to 1 257 computations (64% 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 (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) |
#s(approx (+ 1 (* 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 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #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) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))) #s(literal 2 binary32)))) |
#s(approx (+ 1 (* 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 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 u #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.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)))) |
#s(approx (+ 1 (* 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 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 #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))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (fma.f32 (neg.f32 u) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 (-.f32 (*.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32)) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.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))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)))) |
(fma.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #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 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 #s(literal -8 binary32) u)) 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)))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 #s(literal 24 binary32) u) #s(literal 8 binary32)) u)) 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)))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) v) (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 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.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)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) |
(fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(+.f32 (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)) |
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32)) |
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(fma.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (/.f32 v #s(literal 4 binary32))))) #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 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #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 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.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 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) v) #s(literal 1/6 binary32))) v) #s(literal -1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 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 1/6 binary32) v) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 24 binary32) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #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 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/2 binary32) (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (/.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)))) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))) |
(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 #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)) (log.f32 (exp.f32 #s(literal 1 binary32))))) |
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (/.f32 v #s(literal 4 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 2 binary32)) #s(literal 1 binary32))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))) |
| Outputs |
|---|
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
4 calls:
| 20.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 17.0ms | u |
| 14.0ms | v |
| 13.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 99.6% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 99.6% | 1 | u |
| 99.6% | 1 | v |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) |
#s(approx (+ 1 (* 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 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #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) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))) #s(literal 2 binary32)))) |
#s(approx (+ 1 (* 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 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 u #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.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)))) |
#s(approx (+ 1 (* 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 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 #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))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (fma.f32 (neg.f32 u) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 (-.f32 (*.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32)) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.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))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)))) |
(fma.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #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 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 #s(literal -8 binary32) u)) 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)))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 #s(literal 24 binary32) u) #s(literal 8 binary32)) u)) 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)))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) v) (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 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.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)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) |
(fma.f32 (log.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(+.f32 (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)) |
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32)) |
| Outputs |
|---|
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
4 calls:
| 42.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 12.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 11.0ms | u |
| 11.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 99.6% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 99.6% | 1 | u |
| 99.6% | 1 | v |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) |
#s(approx (+ 1 (* 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 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #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) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))) #s(literal 2 binary32)))) |
#s(approx (+ 1 (* 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 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 u #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.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)))) |
#s(approx (+ 1 (* 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 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 #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))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (fma.f32 (neg.f32 u) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 (-.f32 (*.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32)) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.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))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)))) |
(fma.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #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 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 #s(literal -8 binary32) u)) 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)))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 #s(literal 24 binary32) u) #s(literal 8 binary32)) u)) 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)))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) v) (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 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Outputs |
|---|
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
4 calls:
| 41.0ms | u |
| 10.0ms | (*.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 |
|---|---|---|
| 97.0% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 97.0% | 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))))))) |
| 97.0% | 1 | u |
| 97.0% | 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 (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) |
#s(approx (+ 1 (* 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 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #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) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))) #s(literal 2 binary32)))) |
#s(approx (+ 1 (* 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 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 u #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.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)))) |
#s(approx (+ 1 (* 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 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 #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))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (fma.f32 (neg.f32 u) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 (-.f32 (*.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32)) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.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))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)))) |
(fma.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) u)) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #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 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 #s(literal -8 binary32) u)) 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)))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 #s(literal 24 binary32) u) #s(literal 8 binary32)) u)) 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)))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) v) (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)))) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 (-.f32 (*.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32)) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) |
4 calls:
| 56.0ms | 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 |
|---|---|---|
| 90.9% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 90.9% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 87.2% | 1 | u |
| 90.9% | 2 | v |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) |
#s(approx (+ 1 (* 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 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #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) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))) #s(literal 2 binary32)))) |
#s(approx (+ 1 (* 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 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 u #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.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)))) |
#s(approx (+ 1 (* 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 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 #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))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (fma.f32 (neg.f32 u) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (fma.f32 (neg.f32 u) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32)))) |
3 calls:
| 49.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 6.0ms | v |
| 5.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 90.8% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 90.8% | 2 | v |
Compiled 29 to 25 computations (13.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) |
#s(approx (+ 1 (* 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 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #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) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))) #s(literal 2 binary32)))) |
#s(approx (+ 1 (* 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 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 u #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.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)))) |
#s(approx (+ 1 (* 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 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 #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)))) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #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 1 binary32))) |
3 calls:
| 6.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 5.0ms | v |
| 5.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 90.5% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 90.5% | 2 | v |
Compiled 29 to 25 computations (13.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) |
#s(approx (+ 1 (* 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 1 binary32))) |
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #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) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))) #s(literal 2 binary32)))) |
#s(approx (+ 1 (* 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 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 u #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.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)))) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 1 binary32))) |
3 calls:
| 446.0ms | (+.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 |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 2 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 90.5% | 2 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 90.5% | 2 | v |
Compiled 29 to 25 computations (13.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 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 (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) #s(approx (+ (* (- 1 u) -2) 1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
3 calls:
| 3.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 3.0ms | v |
| 2.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 87.2% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 87.2% | 1 | v |
Compiled 29 to 25 computations (13.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
| Outputs |
|---|
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
4 calls:
| 33.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 1.0ms | u |
| 1.0ms | v |
| 1.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.4% | 1 | u |
| 5.4% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 5.4% | 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))))))) |
| 5.4% | 1 | v |
Compiled 30 to 27 computations (10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.16753877699375153 | 0.24359804391860962 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.16753877699375153 | 0.24359804391860962 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.24359804391860962 | 0.6386582851409912 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.24359804391860962 | 0.6386582851409912 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 453 |
| 1 | 191 | 453 |
| 2 | 411 | 445 |
| 3 | 1340 | 441 |
| 4 | 5049 | 441 |
| 1× | node limit |
| Inputs |
|---|
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 (-.f32 (*.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32)) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32))))) |
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (fma.f32 (neg.f32 u) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32))))) |
(if (<=.f32 v #s(literal 13421773/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (* 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 1 binary32)))) |
(if (<=.f32 v #s(literal 13421773/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
| Outputs |
|---|
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) |
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) |
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (fma.f32 (-.f32 (*.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32)) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32))))) |
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* (- 1 u) -2) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* (pow (- 1 u) 3) 16) (* 8 (- 1 u)))) v) 1/6) (+ (* 2 (pow (- 1 u) 2)) (* (- 1 u) -2))) v)) (-.f32 (*.f32 (-.f32 (fma.f32 (neg.f32 u) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32))))) |
(if (<=.f32 v #s(literal 13421773/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (* 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 1 binary32)))) |
(if (<=.f32 v #s(literal 13421773/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 1 binary32)))) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) |
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 53 |
| 0 | 20 | 53 |
| 1 | 74 | 53 |
| 2 | 488 | 53 |
| 3 | 5268 | 53 |
| 0 | 8312 | 48 |
| 0 | 797 | 4341 |
| 1 | 2658 | 4126 |
| 0 | 8249 | 3827 |
| 0 | 812 | 5812 |
| 1 | 2801 | 5469 |
| 0 | 8777 | 5004 |
| 0 | 337 | 2667 |
| 1 | 1090 | 2450 |
| 2 | 4482 | 2387 |
| 0 | 8293 | 2134 |
| 0 | 46 | 322 |
| 0 | 78 | 319 |
| 1 | 312 | 313 |
| 2 | 2341 | 311 |
| 0 | 8409 | 303 |
| 0 | 1178 | 11267 |
| 1 | 4352 | 10257 |
| 0 | 8984 | 9378 |
| 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× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 453 to 117 computations (74.2% saved)
Compiled 936 to 258 computations (72.4% saved)
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