
Time bar (total: 10.8s)
| 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 32 to 22 computations (31.3% saved)
...c/correct-round.rkt:119:19: 25.0ms (31.9% of total)ival-<=: 9.0ms (11.5% of total)ival-mult: 8.0ms (10.2% of total)ival-log: 8.0ms (10.2% of total)ival-add: 7.0ms (8.9% of total)ival-exp: 7.0ms (8.9% of total)ival-div: 5.0ms (6.4% of total)ival-sub: 4.0ms (5.1% of total)ival-and: 3.0ms (3.8% of total)const: 3.0ms (3.8% of total)backward-pass: 0.0ms (0% of total)| 1.7s | 8256× | 0 | valid |
...c/correct-round.rkt:119:19: 332.0ms (24.8% of total)ival-add: 209.0ms (15.6% of total)ival-log: 159.0ms (11.9% of total)ival-mult: 152.0ms (11.3% of total)ival-exp: 146.0ms (10.9% of total)ival-<=: 140.0ms (10.4% of total)ival-div: 86.0ms (6.4% of total)ival-sub: 58.0ms (4.3% of total)ival-and: 40.0ms (3% of total)const: 13.0ms (1% of total)backward-pass: 4.0ms (0.3% of total)| 2× | egg-herbie |
| 2004× | sum5-define |
| 1758× | fmsub-define |
| 1750× | sum5-define |
| 1688× | fnmsub-define |
| 1626× | sum3-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 100 |
| 1 | 76 | 82 |
| 2 | 187 | 78 |
| 3 | 565 | 78 |
| 4 | 1688 | 78 |
| 5 | 4915 | 78 |
| 0 | 12 | 15 |
| 1 | 20 | 13 |
| 2 | 34 | 13 |
| 3 | 64 | 13 |
| 4 | 138 | 13 |
| 5 | 270 | 13 |
| 6 | 464 | 13 |
| 7 | 866 | 13 |
| 8 | 2825 | 13 |
| 9 | 3635 | 13 |
| 10 | 3884 | 13 |
| 11 | 3900 | 13 |
| 0 | 3900 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
| Outputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Inputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
(+ 1 (* v (log (+ (neg u) (* (- 1 (neg u)) (exp (/ -2 v))))))) |
(+ 1 (* (neg v) (log (+ u (* (- 1 u) (exp (/ -2 (neg v)))))))) |
(neg (+ 1 (* v (log (+ (neg u) (* (- 1 (neg u)) (exp (/ -2 v)))))))) |
(neg (+ 1 (* (neg v) (log (+ u (* (- 1 u) (exp (/ -2 (neg v))))))))) |
(+ 1 (* u (log (+ v (* (- 1 v) (exp (/ -2 u))))))) |
| Outputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
(fma v (log (fma (- 1 u) (exp (/ -2 v)) u)) 1) |
(+ 1 (* v (log (+ (neg u) (* (- 1 (neg u)) (exp (/ -2 v))))))) |
(fmsub v (log (fnmsub (exp (/ -2 v)) (- -1 u) u)) -1) |
(+ 1 (* (neg v) (log (+ u (* (- 1 u) (exp (/ -2 (neg v)))))))) |
(fnmsub v (log (fma (- 1 u) (exp (/ 2 v)) u)) -1) |
(neg (+ 1 (* v (log (+ (neg u) (* (- 1 (neg u)) (exp (/ -2 v)))))))) |
(fnmsub v (log (fnmsub (exp (/ -2 v)) (- -1 u) u)) 1) |
(neg (+ 1 (* (neg v) (log (+ u (* (- 1 u) (exp (/ -2 (neg v))))))))) |
(fmsub v (log (fma (- 1 u) (exp (/ 2 v)) u)) 1) |
(+ 1 (* u (log (+ v (* (- 1 v) (exp (/ -2 u))))))) |
(fma u (log (fma (- 1 v) (exp (/ -2 u)) v)) 1) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 5 | (1.005754620564403e-5 0.011616162024438381) | 1 | (0.002086027292534709 0.030021291226148605) | (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))) |
| 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 #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 | - | (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 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | #s(literal -2 binary32) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u) |
| 118.0ms | 512× | 0 | valid |
Compiled 165 to 38 computations (77% saved)
ival-mult: 10.0ms (27.7% of total)ival-log: 7.0ms (19.4% of total)ival-add: 6.0ms (16.6% of total)ival-div: 5.0ms (13.9% of total)ival-exp: 4.0ms (11.1% of total)ival-sub: 3.0ms (8.3% of total)const: 1.0ms (2.8% of total)backward-pass: 0.0ms (0% of total)Compiled 17 to 12 computations (29.4% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
| ✓ | 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 | 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))))))) |
| 2004× | sum5-define |
| 1100× | sum4-define |
| 986× | sum3-define |
| 640× | fnmadd-define |
| 548× | fma-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 71 |
| 1 | 20 | 66 |
| 2 | 34 | 66 |
| 3 | 64 | 66 |
| 4 | 138 | 66 |
| 5 | 270 | 66 |
| 6 | 464 | 66 |
| 7 | 866 | 66 |
| 8 | 2825 | 66 |
| 9 | 3635 | 66 |
| 10 | 3884 | 66 |
| 11 | 3900 | 66 |
| 0 | 3900 | 66 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
1 |
(* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) |
v |
(log (+ u (* (- 1 u) (exp (/ -2 v))))) |
(+ u (* (- 1 u) (exp (/ -2 v)))) |
u |
(* (- 1 u) (exp (/ -2 v))) |
(- 1 u) |
(exp (/ -2 v)) |
(/ -2 v) |
-2 |
| Outputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
1 |
#s(literal 1 binary32) |
(* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) |
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
v |
(log (+ u (* (- 1 u) (exp (/ -2 v))))) |
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(+ u (* (- 1 u) (exp (/ -2 v)))) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
u |
(* (- 1 u) (exp (/ -2 v))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
-2 |
#s(literal -2 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (+.f32 #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 | 99.9% | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
| ✓ | accuracy | 99.8% | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| ✓ | accuracy | 99.2% | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 47.0ms | 256× | 0 | valid |
Compiled 74 to 13 computations (82.4% saved)
ival-log: 10.0ms (41% of total)ival-mult: 4.0ms (16.4% of total)ival-add: 3.0ms (12.3% of total)ival-sub: 2.0ms (8.2% of total)ival-div: 2.0ms (8.2% of total)ival-exp: 2.0ms (8.2% of total)const: 1.0ms (4.1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))> |
#<alt (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))> |
#<alt (log (+ u (* (- 1 u) (exp (/ -2 v)))))> |
#<alt (+ u (* (- 1 u) (exp (/ -2 v))))> |
#<alt (exp (/ -2 v))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))> |
#<alt -1> |
#<alt (- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)> |
#<alt (- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)> |
#<alt (- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)> |
#<alt (+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))> |
#<alt (+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))> |
#<alt (+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))> |
#<alt (+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))> |
#<alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))> |
#<alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))> |
#<alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))> |
#<alt (* -2 (- 1 u))> |
#<alt (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))> |
#<alt (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
#<alt (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))> |
#<alt (* -2 (- 1 u))> |
#<alt (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))> |
#<alt (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))> |
#<alt (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))> |
#<alt -2> |
#<alt (- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)> |
#<alt (- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)> |
#<alt (- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)> |
#<alt (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))> |
#<alt (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))> |
#<alt (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))> |
#<alt (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))> |
#<alt (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))> |
#<alt (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))> |
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))> |
#<alt (/ -2 v)> |
#<alt (- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))> |
#<alt (- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))> |
#<alt (- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (* -2 (/ (- 1 u) v))> |
#<alt (/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)> |
#<alt (/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)> |
#<alt (/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)> |
#<alt (* -2 (/ (- 1 u) v))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))> |
#<alt (exp (/ -2 v))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (* u (+ 1 (* -1 (exp (/ -2 v)))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* -1 (* u (- (exp (/ -2 v)) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (- 1 u) v)))> |
#<alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))> |
#<alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (- 1 u) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 v)))> |
#<alt (- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))> |
#<alt (- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 v)))> |
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))> |
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | v | @ | 0 | (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) |
| 7.0ms | v | @ | 0 | (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
| 2.0ms | u | @ | inf | (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
| 1.0ms | v | @ | inf | (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
| 1.0ms | v | @ | -inf | (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
| 1× | batch-egg-rewrite |
| 2892× | *-lowering-*.f32 |
| 2892× | *-lowering-*.f64 |
| 1974× | /-lowering-/.f32 |
| 1974× | /-lowering-/.f64 |
| 1640× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 53 |
| 1 | 61 | 48 |
| 2 | 493 | 48 |
| 3 | 5650 | 48 |
| 0 | 8162 | 48 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) |
(* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) |
(log (+ u (* (- 1 u) (exp (/ -2 v))))) |
(+ u (* (- 1 u) (exp (/ -2 v)))) |
(exp (/ -2 v)) |
| Outputs |
|---|
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (*.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)))))))) |
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))))) |
(neg.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 v (*.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32))))))) |
(neg.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.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) (exp.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) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) |
(+.f32 (/.f32 #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)))))))) (neg.f32 (/.f32 (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.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) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))))) |
(pow.f32 (/.f32 #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)))))))) #s(literal -1 binary32)) |
(fma.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)) |
(fma.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(fma.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32) #s(literal 1 binary32)) |
(-.f32 (/.f32 #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 (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.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) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))))) |
(-.f32 (/.f32 (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32)) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #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 #s(literal 1 binary32) (/.f32 (/.f32 #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)))))))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (+.f32 (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32)) #s(literal -1 binary32)))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 v (*.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.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) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #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 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (*.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32))))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 9 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (*.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 6 binary32)) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32)))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 6 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (*.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32)) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 4 binary32)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32)) #s(literal -1 binary32)) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.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) (-.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 (-.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))))))) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.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) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 9 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 6 binary32)) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 v (*.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32))))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 v (*.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32))))))) |
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(/.f32 (*.f32 (+.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))))) #s(literal 1 binary32)) (+.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) |
(/.f32 (*.f32 (-.f32 (*.f32 u u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u)))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 9 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))))) (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))) (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))) (*.f32 u (*.f32 u u)))))) |
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))))) (-.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))))) |
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (+.f32 (*.f32 u (*.f32 u (*.f32 u u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (+.f32 (*.f32 u u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))))))) |
(/.f32 (*.f32 (-.f32 (*.f32 u (*.f32 u (*.f32 u u))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (+.f32 (*.f32 u u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))))) |
(*.f32 #s(literal 1 binary32) (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(*.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 #s(literal 1 binary32) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(*.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.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 (+.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))))) |
(*.f32 (+.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) (*.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))))) |
(*.f32 (+.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) (/.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))))) |
(*.f32 (-.f32 (*.f32 u u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))))) (/.f32 #s(literal 1 binary32) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(*.f32 (neg.f32 (+.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))))) |
(*.f32 (neg.f32 (-.f32 (*.f32 u u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) (+.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (-.f32 (*.f32 u u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))))) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))))) (-.f32 (*.f32 u u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))))) (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(*.f32 (/.f32 (+.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))))) (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (pow.f32 (*.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)) #s(literal 3 binary32)))) (+.f32 (*.f32 u (*.f32 u (*.f32 u u))) (*.f32 (*.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 (*.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 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))))) (-.f32 (*.f32 u (*.f32 u (*.f32 u u))) (pow.f32 (*.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)) #s(literal 2 binary32)))) (-.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))) |
(*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))))) (-.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))))) (+.f32 (*.f32 u u) (*.f32 (*.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 (/.f32 #s(literal -2 binary32) v)) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) v))) |
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) v)) |
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v)) |
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 #s(literal -2 binary32) v)) |
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)) |
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) |
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) |
| 1× | egg-herbie |
| 4816× | +-lowering-+.f64 |
| 4816× | +-lowering-+.f32 |
| 3822× | *-lowering-*.f32 |
| 3822× | *-lowering-*.f64 |
| 1608× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 337 | 2792 |
| 1 | 1020 | 2470 |
| 2 | 3645 | 2333 |
| 0 | 8363 | 2333 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
-1 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
(* -2 (- 1 u)) |
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) |
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) |
(* -2 (- 1 u)) |
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) |
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))) |
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))) |
-2 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2) |
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) |
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) |
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))) |
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(/ -2 v) |
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1)))))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(* -2 (/ (- 1 u) v)) |
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v) |
(* -2 (/ (- 1 u) v)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
1 |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) |
1 |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
1 |
(- 1 (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
1 |
(- 1 (* 2 (/ 1 v))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))) |
(+ 1 (* -2 (- 1 u))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) 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))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)))))) (*.f32 v 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)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)))))) (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) (*.f32 v (*.f32 v v))))) |
(+ 1 (* -2 (- 1 u))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) 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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) 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)))) |
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v)) |
-1 |
#s(literal -1 binary32) |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(+.f32 #s(literal -1 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u))) |
(- (* 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 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) (*.f32 #s(literal -1/2 binary32) u))))) |
(- (* 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 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 v u) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))))))))) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)))) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) (*.f32 u u))) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+.f32 (*.f32 v (+.f32 (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) (*.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u (*.f32 u u))) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) (/.f32 v (*.f32 u u)))) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))))) |
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))))) |
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 u (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))))) (/.f32 (*.f32 v (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) u) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) 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))))))) |
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(* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) |
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(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log.f32 (+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log.f32 (+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log.f32 (+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) |
(* -2 (/ (- 1 u) v)) |
(/.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) v) |
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v) |
(/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 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 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)))))) (*.f32 v 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 (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)))))) (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) (*.f32 v (*.f32 v v)))) v) |
(* -2 (/ (- 1 u) v)) |
(/.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) v) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v)) |
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal -1/2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (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 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 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 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) #s(literal -1/24 binary32)) v) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))))) v)) v)) (neg.f32 v)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(*.f32 u (+.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(*.f32 u (+.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(*.f32 u (+.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(*.f32 (+.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (neg.f32 u)) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(*.f32 (+.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (neg.f32 u)) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(*.f32 (+.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (neg.f32 u)) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) v)) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) v))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) |
(+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) v) (+.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -4/3 binary32) v))) #s(literal 1 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) v)) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) v)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)) v)) v)) v)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
1 |
#s(literal 1 binary32) |
(- 1 (* 2 (/ 1 v))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v)) |
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)) v)) |
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)) v)) (/.f32 #s(literal -4/3 binary32) (*.f32 v (*.f32 v v)))) |
1 |
#s(literal 1 binary32) |
(- 1 (* 2 (/ 1 v))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v)) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)) v)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) v)) |
Compiled 11176 to 1091 computations (90.2% saved)
26 alts after pruning (25 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 245 | 25 | 270 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 245 | 26 | 271 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
| 99.4% | (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 v (*.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)))))) | |
| 99.5% | (/.f32 #s(literal 1 binary32) (/.f32 #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))))))))) | |
| 10.1% | (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v)) | |
| 10.8% | (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) v)) v)) | |
| 13.2% | (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) | |
| ▶ | 10.1% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) |
| 10.8% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) v)) v))) | |
| 9.9% | (+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)))))) (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) (*.f32 v (*.f32 v v))))) | |
| 13.2% | (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) | |
| 8.9% | (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)))) | |
| 10.0% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) #s(literal -1/24 binary32)) v) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))))) v)) v)) (neg.f32 v)))) | |
| 10.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))))) v)) (neg.f32 v)))) | |
| ▶ | 12.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
| 6.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) v))) | |
| 96.8% | (+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (-.f32 (*.f32 u u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))))) (log.f32 (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) | |
| ▶ | 99.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) |
| 99.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))))) | |
| ✓ | 99.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 96.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) | |
| 6.6% | (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) | |
| 8.9% | (+.f32 #s(literal -1 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u))) | |
| 3.4% | (+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) (*.f32 #s(literal -1/2 binary32) u))))) | |
| 3.5% | (+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 v u) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))))))))) | |
| 88.8% | #s(literal 1 binary32) | |
| ▶ | 4.8% | #s(literal -1 binary32) |
Compiled 1823 to 1040 computations (43% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
| ✓ | cost-diff | 0 | (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
| ✓ | cost-diff | 0 | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
| ✓ | cost-diff | 3136 | (fma.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
| ✓ | cost-diff | 64 | (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v)) |
| ✓ | cost-diff | 128 | (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))) |
| ✓ | cost-diff | 128 | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) |
| ✓ | cost-diff | 128 | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v)) |
| ✓ | cost-diff | 128 | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) |
| ✓ | cost-diff | 128 | (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) |
| ✓ | cost-diff | 128 | (*.f32 v (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v)) |
| ✓ | 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 | (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) |
| ✓ | cost-diff | 3136 | (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
| 2940× | *-lowering-*.f32 |
| 2940× | *-lowering-*.f64 |
| 2528× | +-lowering-+.f64 |
| 2528× | +-lowering-+.f32 |
| 1858× | fma-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 862 |
| 1 | 158 | 837 |
| 2 | 495 | 774 |
| 3 | 2081 | 710 |
| 0 | 8510 | 710 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* v (log (+ (* (- 1 u) (exp (/ -2 v))) u)))) |
1 |
(* v (log (+ (* (- 1 u) (exp (/ -2 v))) u))) |
v |
(log (+ (* (- 1 u) (exp (/ -2 v))) u)) |
(+ (* (- 1 u) (exp (/ -2 v))) u) |
(- 1 u) |
u |
(exp (/ -2 v)) |
(/ -2 v) |
-2 |
-1 |
(+ 1 (* v (/ (+ (* -2 (- 1 u)) (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v))) v))) |
1 |
(* v (/ (+ (* -2 (- 1 u)) (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v))) v)) |
v |
(/ (+ (* -2 (- 1 u)) (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v))) v) |
(+ (* -2 (- 1 u)) (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v))) |
(* -2 (- 1 u)) |
-2 |
(- 1 u) |
u |
(* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(+ (* (- 1 u) -4) 4) |
(* (- 1 u) -4) |
-4 |
4 |
(/ 1/2 v) |
1/2 |
(+ 1 (- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v)) v))) |
1 |
(- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v)) v)) |
(* -2 (- 1 u)) |
-2 |
(- 1 u) |
u |
(/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v)) v) |
(- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v)) |
(* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(+ (* (- 1 u) -4) 4) |
(* (- 1 u) -4) |
-4 |
4 |
-1/2 |
(/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v) |
(+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) |
(* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) |
(+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) |
(* (- 1 u) 8) |
8 |
(* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) |
(* (- 1 u) (- 1 u)) |
(+ (* (- 1 u) 16) -24) |
(* (- 1 u) 16) |
16 |
-24 |
-1/6 |
(/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v) |
(* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) |
1/24 |
(+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16))) |
(* -96 (pow (- 1 u) 4)) |
-96 |
(pow (- 1 u) 4) |
(+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)) |
(* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) |
(+ -112 (* (- 1 u) 192)) |
-112 |
(* (- 1 u) 192) |
192 |
v |
(+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) |
(log (+ u (* (- 1 u) (exp (/ -2 v))))) |
(+ u (* (- 1 u) (exp (/ -2 v)))) |
u |
(* (- 1 u) (exp (/ -2 v))) |
(- 1 u) |
1 |
(exp (/ -2 v)) |
(/ -2 v) |
-2 |
v |
| Outputs |
|---|
(+ 1 (* v (log (+ (* (- 1 u) (exp (/ -2 v))) u)))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
1 |
#s(literal 1 binary32) |
(* v (log (+ (* (- 1 u) (exp (/ -2 v))) u))) |
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
v |
(log (+ (* (- 1 u) (exp (/ -2 v))) u)) |
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(+ (* (- 1 u) (exp (/ -2 v))) u) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
u |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
-2 |
#s(literal -2 binary32) |
-1 |
#s(literal -1 binary32) |
(+ 1 (* v (/ (+ (* -2 (- 1 u)) (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (*.f32 u #s(literal 2 binary32)) v)))) |
1 |
#s(literal 1 binary32) |
(* v (/ (+ (* -2 (- 1 u)) (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v))) v)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (*.f32 u #s(literal 2 binary32)) v))) |
v |
(/ (+ (* -2 (- 1 u)) (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v))) v) |
(*.f32 (+.f32 #s(literal -2 binary32) (/.f32 (*.f32 u #s(literal 2 binary32)) v)) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) |
(+ (* -2 (- 1 u)) (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (*.f32 u #s(literal 2 binary32)) v))) |
(* -2 (- 1 u)) |
(+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) |
-2 |
#s(literal -2 binary32) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
u |
(* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 u #s(literal 2 binary32))) v) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(*.f32 u (-.f32 #s(literal 4 binary32) (*.f32 u #s(literal 4 binary32)))) |
(+ (* (- 1 u) -4) 4) |
(*.f32 u #s(literal 4 binary32)) |
(* (- 1 u) -4) |
(+.f32 #s(literal -4 binary32) (*.f32 u #s(literal 4 binary32))) |
-4 |
#s(literal -4 binary32) |
4 |
#s(literal 4 binary32) |
(/ 1/2 v) |
(/.f32 #s(literal 1/2 binary32) v) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1 (- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v)) v))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (*.f32 u #s(literal 2 binary32)) v))) (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32))))) #s(literal 1/6 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 1/24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32))))))) v)) v) v))) |
1 |
#s(literal 1 binary32) |
(- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v)) v)) |
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 (*.f32 u #s(literal 2 binary32)) v))) (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32))))) #s(literal 1/6 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 1/24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32))))))) v)) v) v)) |
(* -2 (- 1 u)) |
(+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) |
-2 |
#s(literal -2 binary32) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
u |
(/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v)) v) |
(/.f32 (+.f32 (*.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) u) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32))))) #s(literal 1/6 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 1/24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32))))))) v)) v)) v) |
(- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v)) |
(+.f32 (*.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) u) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32))))) #s(literal 1/6 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 1/24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32))))))) v)) v)) |
(* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) |
(*.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) u) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(*.f32 u (-.f32 #s(literal 4 binary32) (*.f32 u #s(literal 4 binary32)))) |
(+ (* (- 1 u) -4) 4) |
(*.f32 u #s(literal 4 binary32)) |
(* (- 1 u) -4) |
(+.f32 #s(literal -4 binary32) (*.f32 u #s(literal 4 binary32))) |
-4 |
#s(literal -4 binary32) |
4 |
#s(literal 4 binary32) |
-1/2 |
#s(literal -1/2 binary32) |
(/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v) |
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -4/3 binary32) (*.f32 (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 1/24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32))))))) v)) v) |
(+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -4/3 binary32) (*.f32 (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 1/24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32))))))) v)) |
(* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -4/3 binary32) (*.f32 (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))))) |
(+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32))))) |
(* (- 1 u) 8) |
(+.f32 #s(literal 8 binary32) (*.f32 u #s(literal -8 binary32))) |
8 |
#s(literal 8 binary32) |
(* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32))) |
(* (- 1 u) (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
(+ (* (- 1 u) 16) -24) |
(+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)) |
(* (- 1 u) 16) |
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) |
16 |
#s(literal 16 binary32) |
-24 |
#s(literal -24 binary32) |
-1/6 |
#s(literal -1/6 binary32) |
(/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v) |
(/.f32 (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 1/24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32))))))) v) |
(* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) |
(+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 1/24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32))))))) |
1/24 |
#s(literal 1/24 binary32) |
(+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16))) |
(+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32)))))) |
(* -96 (pow (- 1 u) 4)) |
(*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) |
-96 |
#s(literal -96 binary32) |
(pow (- 1 u) 4) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) |
(+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32))))) |
(* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32)))) |
(+ -112 (* (- 1 u) 192)) |
(+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32)) |
-112 |
#s(literal -112 binary32) |
(* (- 1 u) 192) |
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)) |
192 |
#s(literal 192 binary32) |
v |
(+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 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))))))) |
(log (+ u (* (- 1 u) (exp (/ -2 v))))) |
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(+ u (* (- 1 u) (exp (/ -2 v)))) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
u |
(* (- 1 u) (exp (/ -2 v))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
-2 |
#s(literal -2 binary32) |
v |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
| ✓ | accuracy | 99.9% | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
| ✓ | accuracy | 99.8% | (fma.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
| ✓ | accuracy | 99.8% | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| ✓ | accuracy | 97.5% | (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) |
| ✓ | accuracy | 82.2% | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) |
| ✓ | accuracy | 81.2% | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) |
| ✓ | accuracy | 72.8% | (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) |
| ✓ | accuracy | 99.4% | (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) |
| ✓ | accuracy | 99.0% | (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v)) |
| ✓ | accuracy | 82.2% | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) |
| ✓ | accuracy | 59.6% | (*.f32 v (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v)) |
| ✓ | accuracy | 99.9% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) |
| ✓ | accuracy | 99.9% | (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) |
| ✓ | accuracy | 99.8% | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| ✓ | accuracy | 99.2% | (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) |
| 232.0ms | 256× | 0 | valid |
Compiled 995 to 62 computations (93.8% saved)
ival-mult: 33.0ms (31.9% of total)ival-add: 18.0ms (17.4% of total)ival-div: 12.0ms (11.6% of total)compiled-spec: 10.0ms (9.7% of total)ival-log: 9.0ms (8.7% of total)...c/correct-round.rkt:119:19: 8.0ms (7.7% of total)ival-sub: 4.0ms (3.9% of total)ival-exp: 3.0ms (2.9% of total)ival-pow: 3.0ms (2.9% of total)const: 2.0ms (1.9% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (- 1 u) (exp (/ -2 v))) u)> |
#<alt (+ 1 (* v (log (+ (* (- 1 u) (exp (/ -2 v))) u))))> |
#<alt (* v (log (+ (* (- 1 u) (exp (/ -2 v))) u)))> |
#<alt (log (+ (* (- 1 u) (exp (/ -2 v))) u))> |
#<alt (* v (/ (+ (* -2 (- 1 u)) (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v))) v))> |
#<alt (+ (* -2 (- 1 u)) (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)))> |
#<alt (+ (* (- 1 u) -4) 4)> |
#<alt (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v))> |
#<alt (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)))> |
#<alt (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16))> |
#<alt (- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v)) v))> |
#<alt (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1)> |
#<alt (log (+ u (* (- 1 u) (exp (/ -2 v)))))> |
#<alt (+ u (* (- 1 u) (exp (/ -2 v))))> |
#<alt (* (- 1 u) (exp (/ -2 v)))> |
#<alt (exp (/ -2 v))> |
#<alt (* (- 1 u) (+ (* (- 1 u) -4) 4))> |
#<alt (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))> |
#<alt (pow (- 1 u) 4)> |
| Outputs |
|---|
#<alt (exp (/ -2 v))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (* u (+ 1 (* -1 (exp (/ -2 v)))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* -1 (* u (- (exp (/ -2 v)) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (- 1 u) v)))> |
#<alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))> |
#<alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (- 1 u) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))> |
#<alt 1> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))> |
#<alt -1> |
#<alt (- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)> |
#<alt (- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)> |
#<alt (- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)> |
#<alt (+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))> |
#<alt (+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))> |
#<alt (+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))> |
#<alt (+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))> |
#<alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))> |
#<alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))> |
#<alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))> |
#<alt (* -2 (- 1 u))> |
#<alt (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))> |
#<alt (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
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#<alt (+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))> |
#<alt 1> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))> |
#<alt (/ -2 v)> |
#<alt (- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))> |
#<alt (- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))> |
#<alt (- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))> |
#<alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))> |
#<alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (log (+ u (* (exp (/ -2 v)) (- 1 u))))> |
#<alt (* -2 (/ (- 1 u) v))> |
#<alt (/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)> |
#<alt (/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)> |
#<alt (/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)> |
#<alt (* -2 (/ (- 1 u) v))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))> |
#<alt (exp (/ -2 v))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))> |
#<alt (* u (+ 1 (* -1 (exp (/ -2 v)))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))> |
#<alt (* -1 (* u (- (exp (/ -2 v)) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt (+ u (* (exp (/ -2 v)) (- 1 u)))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (- 1 u) v)))> |
#<alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))> |
#<alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (- 1 u) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))> |
#<alt (exp (/ -2 v))> |
#<alt (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))> |
#<alt (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))> |
#<alt (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))> |
#<alt (* -1 (* u (exp (/ -2 v))))> |
#<alt (* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))> |
#<alt (* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))> |
#<alt (* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))> |
#<alt (* -1 (* u (exp (/ -2 v))))> |
#<alt (* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u)))))> |
#<alt (* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u)))))> |
#<alt (* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u)))))> |
#<alt (* (exp (/ -2 v)) (- 1 u))> |
#<alt (* (exp (/ -2 v)) (- 1 u))> |
#<alt (* (exp (/ -2 v)) (- 1 u))> |
#<alt (* (exp (/ -2 v)) (- 1 u))> |
#<alt (- 1 u)> |
#<alt (- (+ 1 (* -2 (/ (- 1 u) v))) u)> |
#<alt (- (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) u)> |
#<alt (- (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) u)> |
#<alt (- 1 u)> |
#<alt (- (+ 1 (* -2 (/ (- 1 u) v))) u)> |
#<alt (- (+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) u)> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) u)> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt (exp (/ -2 v))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 v)))> |
#<alt (- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))> |
#<alt (- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 v)))> |
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))> |
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))> |
#<alt (* 4 u)> |
#<alt (* u (+ 4 (* -4 u)))> |
#<alt (* u (+ 4 (* -4 u)))> |
#<alt (* u (+ 4 (* -4 u)))> |
#<alt (* -4 (pow u 2))> |
#<alt (* (pow u 2) (- (* 4 (/ 1 u)) 4))> |
#<alt (* (pow u 2) (- (* 4 (/ 1 u)) 4))> |
#<alt (* (pow u 2) (- (* 4 (/ 1 u)) 4))> |
#<alt (* -4 (pow u 2))> |
#<alt (* (pow u 2) (- (* 4 (/ 1 u)) 4))> |
#<alt (* (pow u 2) (- (* 4 (/ 1 u)) 4))> |
#<alt (* (pow u 2) (- (* 4 (/ 1 u)) 4))> |
#<alt (* 16 u)> |
#<alt (* u (+ 16 (* -112 u)))> |
#<alt (* u (+ 16 (* u (- (* 192 u) 112))))> |
#<alt (* u (+ 16 (* u (- (* u (+ 192 (* -96 u))) 112))))> |
#<alt (* -96 (pow u 4))> |
#<alt (* (pow u 4) (- (* 192 (/ 1 u)) 96))> |
#<alt (* (pow u 4) (- (* 192 (/ 1 u)) (+ 96 (/ 112 (pow u 2)))))> |
#<alt (* (pow u 4) (- (+ (* 192 (/ 1 u)) (* 16 (/ 1 (pow u 3)))) (+ 96 (/ 112 (pow u 2)))))> |
#<alt (* -96 (pow u 4))> |
#<alt (* (pow u 4) (- (* 192 (/ 1 u)) 96))> |
#<alt (* (pow u 4) (- (* -1 (/ (- (* 112 (/ 1 u)) 192) u)) 96))> |
#<alt (* (pow u 4) (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 u)) 112) u)) 192) u)) 96))> |
#<alt 1> |
#<alt (+ 1 (* -4 u))> |
#<alt (+ 1 (* u (- (* 6 u) 4)))> |
#<alt (+ 1 (* u (- (* u (+ 6 (* -4 u))) 4)))> |
#<alt (pow u 4)> |
#<alt (* (pow u 4) (- 1 (* 4 (/ 1 u))))> |
#<alt (* (pow u 4) (- (+ 1 (/ 6 (pow u 2))) (* 4 (/ 1 u))))> |
#<alt (* (pow u 4) (- (+ 1 (/ 6 (pow u 2))) (+ (* 4 (/ 1 u)) (* 4 (/ 1 (pow u 3))))))> |
#<alt (pow u 4)> |
#<alt (* (pow u 4) (- 1 (* 4 (/ 1 u))))> |
#<alt (* (pow u 4) (+ 1 (* -1 (/ (- 4 (* 6 (/ 1 u))) u))))> |
#<alt (* (pow u 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 4 (/ 1 u))) u))) u))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | u | @ | inf | (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) |
| 2.0ms | u | @ | inf | (- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v)) v)) |
| 1.0ms | u | @ | 0 | (- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v)) v)) |
| 1.0ms | u | @ | -inf | (- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v)) v)) |
| 1.0ms | v | @ | inf | (- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v)) v)) |
| 1× | batch-egg-rewrite |
| 3764× | *-lowering-*.f32 |
| 3764× | *-lowering-*.f64 |
| 1670× | pow-lowering-pow.f64 |
| 1670× | pow-lowering-pow.f32 |
| 1470× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 289 |
| 1 | 367 | 280 |
| 2 | 3791 | 280 |
| 0 | 8135 | 280 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (- 1 u) (exp (/ -2 v))) u) |
(+ 1 (* v (log (+ (* (- 1 u) (exp (/ -2 v))) u)))) |
(* v (log (+ (* (- 1 u) (exp (/ -2 v))) u))) |
(log (+ (* (- 1 u) (exp (/ -2 v))) u)) |
(* v (/ (+ (* -2 (- 1 u)) (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v))) v)) |
(+ (* -2 (- 1 u)) (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v))) |
(+ (* (- 1 u) -4) 4) |
(* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) |
(+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) |
(+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)) |
(- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16)))) v)) v)) v)) |
(+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) |
(log (+ u (* (- 1 u) (exp (/ -2 v))))) |
(+ u (* (- 1 u) (exp (/ -2 v)))) |
(* (- 1 u) (exp (/ -2 v))) |
(exp (/ -2 v)) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(+ (* -96 (pow (- 1 u) 4)) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* (- 1 u) 16))) |
(pow (- 1 u) 4) |
| Outputs |
|---|
(+.f32 u (*.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) |
(pow.f32 (/.f32 (+.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) (+.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))))) #s(literal -1 binary32)) |
(pow.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 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (+.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (-.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)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) #s(literal -1 binary32)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) |
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) |
(-.f32 (/.f32 (*.f32 u u) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) (+.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (+.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (-.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))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)))) |
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(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal -884736 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))))))) (neg.f32 (+.f32 (*.f32 #s(literal 9216 binary32) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 9216 binary32) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))))))))) (neg.f32 (-.f32 (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))))))))) |
(/.f32 (+.f32 (pow.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) #s(literal 3 binary32)) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) #s(literal 4096 binary32))) (+.f32 (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 256 binary32)) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))))))) (*.f32 #s(literal 9216 binary32) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 (-.f32 (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 256 binary32))) (-.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) |
(*.f32 (+.f32 (*.f32 #s(literal -884736 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))))))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 9216 binary32) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))))) |
(*.f32 (-.f32 (*.f32 #s(literal 9216 binary32) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))))))))) |
(exp.f32 (*.f32 #s(literal 4 binary32) (log1p.f32 (neg.f32 u)))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 (log1p.f32 (neg.f32 u)))) #s(literal 4 binary32))) |
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 2 binary32)) #s(literal 2 binary32))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) |
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (log1p.f32 (neg.f32 u))) #s(literal 4 binary32)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u)))) #s(literal 4 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 4 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) #s(literal 4 binary32))) |
| 1× | egg-herbie |
| 4676× | *-lowering-*.f32 |
| 4676× | *-lowering-*.f64 |
| 3954× | +-lowering-+.f64 |
| 3954× | +-lowering-+.f32 |
| 1568× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 706 | 7646 |
| 1 | 2320 | 6778 |
| 0 | 8289 | 6778 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
1 |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) |
1 |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
1 |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))) |
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(/ -2 v) |
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(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
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-2 |
(- (* u (+ 2 (* 2 (/ 1 v)))) 2) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2))))) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2))))) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v)))) |
-2 |
(- (* u (+ 2 (* 2 (/ 1 v)))) 2) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2) |
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2) |
(* -2 (/ (pow u 2) v)) |
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(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2))))) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v)))) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
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(/ (+ (* -2 (* v (- 1 u))) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v) |
(* -2 (- 1 u)) |
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(+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 2 (/ u v)) |
(* u (+ (* -2 (/ u v)) (* 2 (/ 1 v)))) |
(* u (+ (* -2 (/ u v)) (* 2 (/ 1 v)))) |
(* u (+ (* -2 (/ u v)) (* 2 (/ 1 v)))) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v)))) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v)))) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) |
(* -8 u) |
(* u (- (* 24 u) 8)) |
(* u (- (* u (+ 24 (* -16 u))) 8)) |
(* u (- (* u (+ 24 (* -16 u))) 8)) |
(* -16 (pow u 3)) |
(* (pow u 3) (- (* 24 (/ 1 u)) 16)) |
(* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 2))))) |
(* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 2))))) |
(* -16 (pow u 3)) |
(* -1 (* (pow u 3) (- 16 (* 24 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 u))) u))))) |
96 |
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(+ 96 (* u (- (* 464 u) 368))) |
(+ 96 (* u (- (* u (+ 464 (* -192 u))) 368))) |
(* -192 (pow u 3)) |
(* (pow u 3) (- (* 464 (/ 1 u)) 192)) |
(* (pow u 3) (- (* 464 (/ 1 u)) (+ 192 (/ 368 (pow u 2))))) |
(* (pow u 3) (- (+ (* 464 (/ 1 u)) (* 96 (/ 1 (pow u 3)))) (+ 192 (/ 368 (pow u 2))))) |
(* -192 (pow u 3)) |
(* -1 (* (pow u 3) (- 192 (* 464 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 192 (* -1 (/ (- 464 (* 368 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 192 (* -1 (/ (+ 464 (* -1 (/ (- 368 (* 96 (/ 1 u))) u))) u))))) |
-2 |
(- (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2) |
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (+ (* 4 (/ 1 (pow v 2))) (* 14/3 (/ 1 (pow v 3))))))) (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))))) 2) |
(- (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* u (+ (* 8/3 (/ 1 (pow v 2))) (* 8 (/ 1 (pow v 3))))) (+ (* 2 (/ 1 v)) (+ (* 4 (/ 1 (pow v 2))) (* 14/3 (/ 1 (pow v 3)))))))))))) 2) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* (pow u 4) (- (+ (/ 8/3 (* u (pow v 2))) (/ 8 (* u (pow v 3)))) (* 4 (/ 1 (pow v 3))))) |
(* (pow u 4) (- (+ (* -1 (/ (+ (* 2 (/ 1 v)) (+ (* 4 (/ 1 (pow v 2))) (* 14/3 (/ 1 (pow v 3))))) (pow u 2))) (+ (/ 8/3 (* u (pow v 2))) (/ 8 (* u (pow v 3))))) (* 4 (/ 1 (pow v 3))))) |
(* (pow u 4) (- (+ (/ 2/3 (* (pow u 3) (pow v 3))) (+ (* 2 (/ 1 (pow u 3))) (+ (/ 4/3 (* (pow u 3) (pow v 2))) (+ (/ 2 (* (pow u 3) v)) (+ (/ 8/3 (* u (pow v 2))) (/ 8 (* u (pow v 3)))))))) (+ (* 4 (/ 1 (pow v 3))) (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4 (/ 1 (* (pow u 2) (pow v 2)))) (* 14/3 (/ 1 (* (pow u 2) (pow v 3))))))))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* (pow u 4) (- (+ (/ 8/3 (* u (pow v 2))) (/ 8 (* u (pow v 3)))) (* 4 (/ 1 (pow v 3))))) |
(* (pow u 4) (- (* -1 (/ (- (+ (/ 2 (* u v)) (+ (/ 4 (* u (pow v 2))) (/ 14/3 (* u (pow v 3))))) (+ (* 8/3 (/ 1 (pow v 2))) (* 8 (/ 1 (pow v 3))))) u)) (* 4 (/ 1 (pow v 3))))) |
(* (pow u 4) (- (* -1 (/ (- (* -1 (/ (- (+ (/ 2/3 (* u (pow v 3))) (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v))))) (+ (* 2 (/ 1 v)) (+ (* 4 (/ 1 (pow v 2))) (* 14/3 (/ 1 (pow v 3)))))) u)) (+ (* 8/3 (/ 1 (pow v 2))) (* 8 (/ 1 (pow v 3))))) u)) (* 4 (/ 1 (pow v 3))))) |
(* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* 16 (- 1 u)) (* (pow (- 1 u) 2) (- (* 192 (- 1 u)) 112)))) (pow v 3))) |
(/ (+ (* -1/6 (* v (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* 16 (- 1 u)) (* (pow (- 1 u) 2) (- (* 192 (- 1 u)) 112)))))) (pow v 3)) |
(/ (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* 16 (- 1 u)) (* (pow (- 1 u) 2) (- (* 192 (- 1 u)) 112))))) (* v (+ (* -1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24)))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))))) (pow v 3)) |
(/ (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* 16 (- 1 u)) (* (pow (- 1 u) 2) (- (* 192 (- 1 u)) 112))))) (* v (+ (* -1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24)))) (* v (- (* -2 (* v (- 1 u))) (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))))))) (pow v 3)) |
(* -2 (- 1 u)) |
(+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) |
(- (+ (* -2 (- 1 u)) (* -1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) (pow v 2)))) (* -1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) |
(- (+ (* -2 (- 1 u)) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* 16 (- 1 u)) (* (pow (- 1 u) 2) (- (* 192 (- 1 u)) 112)))) (pow v 3)))) (+ (* -1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) (pow v 2))))) |
(* -2 (- 1 u)) |
(+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) |
(+ (* -2 (- 1 u)) (* -1 (/ (- (* 1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) v)) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v))) |
(+ (* -2 (- 1 u)) (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* 16 (- 1 u)) (* (pow (- 1 u) 2) (- (* 192 (- 1 u)) 112)))) v)) (* 1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) v)) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v))) |
-1 |
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) |
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) |
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) |
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) |
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) |
1 |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) |
(/ -2 v) |
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) |
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) |
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1)))))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(log (+ u (* (exp (/ -2 v)) (- 1 u)))) |
(* -2 (/ (- 1 u) v)) |
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v) |
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v) |
(* -2 (/ (- 1 u) v)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v)) |
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
1 |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) |
1 |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
(exp (/ -2 v)) |
(+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))) |
(+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))) |
(+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))) |
(* -1 (* u (exp (/ -2 v)))) |
(* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))) |
(* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))) |
(* u (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))) |
(* -1 (* u (exp (/ -2 v)))) |
(* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))))) |
(* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))))) |
(* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))))) |
(* (exp (/ -2 v)) (- 1 u)) |
(* (exp (/ -2 v)) (- 1 u)) |
(* (exp (/ -2 v)) (- 1 u)) |
(* (exp (/ -2 v)) (- 1 u)) |
(- 1 u) |
(- (+ 1 (* -2 (/ (- 1 u) v))) u) |
(- (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) u) |
(- (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) u) |
(- 1 u) |
(- (+ 1 (* -2 (/ (- 1 u) v))) u) |
(- (+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) u) |
(- (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) u) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
1 |
(- 1 (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
1 |
(- 1 (* 2 (/ 1 v))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(* 4 u) |
(* u (+ 4 (* -4 u))) |
(* u (+ 4 (* -4 u))) |
(* u (+ 4 (* -4 u))) |
(* -4 (pow u 2)) |
(* (pow u 2) (- (* 4 (/ 1 u)) 4)) |
(* (pow u 2) (- (* 4 (/ 1 u)) 4)) |
(* (pow u 2) (- (* 4 (/ 1 u)) 4)) |
(* -4 (pow u 2)) |
(* (pow u 2) (- (* 4 (/ 1 u)) 4)) |
(* (pow u 2) (- (* 4 (/ 1 u)) 4)) |
(* (pow u 2) (- (* 4 (/ 1 u)) 4)) |
(* 16 u) |
(* u (+ 16 (* -112 u))) |
(* u (+ 16 (* u (- (* 192 u) 112)))) |
(* u (+ 16 (* u (- (* u (+ 192 (* -96 u))) 112)))) |
(* -96 (pow u 4)) |
(* (pow u 4) (- (* 192 (/ 1 u)) 96)) |
(* (pow u 4) (- (* 192 (/ 1 u)) (+ 96 (/ 112 (pow u 2))))) |
(* (pow u 4) (- (+ (* 192 (/ 1 u)) (* 16 (/ 1 (pow u 3)))) (+ 96 (/ 112 (pow u 2))))) |
(* -96 (pow u 4)) |
(* (pow u 4) (- (* 192 (/ 1 u)) 96)) |
(* (pow u 4) (- (* -1 (/ (- (* 112 (/ 1 u)) 192) u)) 96)) |
(* (pow u 4) (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 u)) 112) u)) 192) u)) 96)) |
1 |
(+ 1 (* -4 u)) |
(+ 1 (* u (- (* 6 u) 4))) |
(+ 1 (* u (- (* u (+ 6 (* -4 u))) 4))) |
(pow u 4) |
(* (pow u 4) (- 1 (* 4 (/ 1 u)))) |
(* (pow u 4) (- (+ 1 (/ 6 (pow u 2))) (* 4 (/ 1 u)))) |
(* (pow u 4) (- (+ 1 (/ 6 (pow u 2))) (+ (* 4 (/ 1 u)) (* 4 (/ 1 (pow u 3)))))) |
(pow u 4) |
(* (pow u 4) (- 1 (* 4 (/ 1 u)))) |
(* (pow u 4) (+ 1 (* -1 (/ (- 4 (* 6 (/ 1 u))) u)))) |
(* (pow u 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 4 (/ 1 u))) u))) u)))) |
| Outputs |
|---|
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(* u (+ 1 (* -1 (exp (/ -2 v))))) |
(*.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(*.f32 u (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(*.f32 u (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) |
(*.f32 u (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(* -1 (* u (- (exp (/ -2 v)) 1))) |
(*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 u)) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 u)) |
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) |
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 u)) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
(+ u (* (exp (/ -2 v)) (- 1 u))) |
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) v) v))) |
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) |
(+.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) v) v))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)) v) (*.f32 v v))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (/ (- 1 u) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)) v)) v)) v)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))) |
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))) |
(+ 1 (* -2 (- 1 u))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (+.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) |
(+.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (+.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32))))) (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32))))) v))) |
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))) |
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-1 |
#s(literal -1 binary32) |
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(* -2 (- 1 u)) |
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-2 |
#s(literal -2 binary32) |
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(+ 96 (* u (- (* u (+ 464 (* -192 u))) 368))) |
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(*.f32 (*.f32 u (*.f32 u u)) #s(literal -192 binary32)) |
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#s(literal -2 binary32) |
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(* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* 16 (- 1 u)) (* (pow (- 1 u) 2) (- (* 192 (- 1 u)) 112)))) (pow v 3))) |
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(* -2 (- 1 u)) |
(*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) |
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-1 |
#s(literal -1 binary32) |
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(*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 #s(literal -96 binary32) (/.f32 (+.f32 #s(literal -192 binary32) (/.f32 #s(literal 112 binary32) u)) (neg.f32 u)))) |
(* (pow u 4) (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 u)) 112) u)) 192) u)) 96)) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 #s(literal -96 binary32) (neg.f32 (/.f32 (+.f32 #s(literal -192 binary32) (/.f32 (+.f32 #s(literal -112 binary32) (/.f32 #s(literal 16 binary32) u)) (neg.f32 u))) u)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -4 u)) |
(+.f32 #s(literal 1 binary32) (*.f32 u #s(literal -4 binary32))) |
(+ 1 (* u (- (* 6 u) 4))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal -4 binary32) (*.f32 u #s(literal 6 binary32))))) |
(+ 1 (* u (- (* u (+ 6 (* -4 u))) 4))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal -4 binary32) (*.f32 u (+.f32 (*.f32 u #s(literal -4 binary32)) #s(literal 6 binary32)))))) |
(pow u 4) |
(pow.f32 u #s(literal 4 binary32)) |
(* (pow u 4) (- 1 (* 4 (/ 1 u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 4 binary32) u))) |
(* (pow u 4) (- (+ 1 (/ 6 (pow u 2))) (* 4 (/ 1 u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 4 binary32) u)))) |
(* (pow u 4) (- (+ 1 (/ 6 (pow u 2))) (+ (* 4 (/ 1 u)) (* 4 (/ 1 (pow u 3)))))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 u u)) (/.f32 #s(literal -4 binary32) u)) (/.f32 #s(literal 4 binary32) (*.f32 u (*.f32 u u)))))) |
(pow u 4) |
(pow.f32 u #s(literal 4 binary32)) |
(* (pow u 4) (- 1 (* 4 (/ 1 u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 4 binary32) u))) |
(* (pow u 4) (+ 1 (* -1 (/ (- 4 (* 6 (/ 1 u))) u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 4 binary32) (/.f32 #s(literal -6 binary32) u)) u))) |
(* (pow u 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 4 (/ 1 u))) u))) u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 #s(literal 6 binary32) (/.f32 #s(literal -4 binary32) u)) u)) u))) |
Compiled 44615 to 3445 computations (92.3% saved)
31 alts after pruning (28 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 802 | 21 | 823 |
| Fresh | 13 | 7 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 818 | 31 | 849 |
| Status | Accuracy | Program |
|---|---|---|
| 97.5% | (fma.f32 (log.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) v #s(literal 1 binary32)) | |
| 99.4% | (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32))))) | |
| 99.5% | (/.f32 #s(literal 1 binary32) (/.f32 #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))))))))) | |
| 10.8% | (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) (/.f32 #s(literal 1/6 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))))) v)) | |
| 6.7% | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) | |
| ▶ | 4.9% | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -4 binary32) (pow.f32 u #s(literal 4 binary32))) (*.f32 v (*.f32 v v)))) |
| 10.1% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (/.f32 #s(literal 1/24 binary32) v))) v)) v))) | |
| 9.4% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal -4 binary32) (*.f32 u #s(literal 6 binary32)))))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) | |
| 10.5% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u #s(literal -4 binary32)))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) | |
| 10.1% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u (+.f32 #s(literal 16 binary32) (*.f32 u (+.f32 #s(literal -112 binary32) (*.f32 u (+.f32 #s(literal 192 binary32) (*.f32 u #s(literal -96 binary32))))))))) v)) v)) v))) | |
| ▶ | 10.6% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) |
| 9.1% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -4 binary32) (*.f32 u u)) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) | |
| 10.8% | (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) (/.f32 #s(literal -1/6 binary32) v)) v) (*.f32 (+.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32)))))) | |
| 10.3% | (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))))) | |
| ▶ | 13.2% | (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 #s(literal -2 binary32) u) v))))) |
| 13.1% | (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))) | |
| 6.0% | (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 14/3 binary32) (*.f32 v (*.f32 v v))))))))))) | |
| 1.3% | (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) u) (/.f32 #s(literal 8 binary32) (*.f32 u (*.f32 v (*.f32 v v))))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 14/3 binary32) (*.f32 v (*.f32 v v))))) (*.f32 u u))) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))))) | |
| 13.1% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 u u))))))) | |
| 12.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u #s(literal 2 binary32)) v)) v))) | |
| 12.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)))) v))) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))))))) | |
| ✓ | 99.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) |
| ▶ | 99.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))))) |
| ✓ | 99.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 96.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) | |
| 6.6% | (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) | |
| 8.9% | (+.f32 #s(literal -1 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u))) | |
| 3.5% | (+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 v u) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))))))))) | |
| ▶ | 88.8% | #s(literal 1 binary32) |
| ✓ | 4.8% | #s(literal -1 binary32) |
Compiled 2136 to 1230 computations (42.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f32 u #s(literal 4 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal -4 binary32) (pow.f32 u #s(literal 4 binary32))) |
| ✓ | cost-diff | 0 | (/.f32 (*.f32 #s(literal -4 binary32) (pow.f32 u #s(literal 4 binary32))) (*.f32 v (*.f32 v v))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -4 binary32) (pow.f32 u #s(literal 4 binary32))) (*.f32 v (*.f32 v v)))) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) |
| ✓ | cost-diff | 64 | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) |
| ✓ | cost-diff | 128 | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) |
| ✓ | cost-diff | 128 | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) |
| ✓ | cost-diff | 0 | (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 #s(literal -2 binary32) u) v)) |
| ✓ | cost-diff | 0 | (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 #s(literal -2 binary32) u) v))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 #s(literal -2 binary32) u) v)))) |
| ✓ | cost-diff | 64 | (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 #s(literal -2 binary32) u) v))))) |
| ✓ | cost-diff | 0 | (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))) |
| ✓ | cost-diff | 0 | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))) |
| ✓ | cost-diff | 0 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))))) |
| 2202× | +-lowering-+.f64 |
| 2202× | +-lowering-+.f32 |
| 2094× | *-lowering-*.f32 |
| 2094× | *-lowering-*.f64 |
| 1398× | fma-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 548 |
| 1 | 152 | 525 |
| 2 | 444 | 496 |
| 3 | 1545 | 467 |
| 0 | 8154 | 467 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2)))))) |
1 |
(* v (log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2))))) |
v |
(log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2)))) |
(+ u (* (- 1 u) (pow (exp (/ 1 v)) -2))) |
u |
(* (- 1 u) (pow (exp (/ 1 v)) -2)) |
(- 1 u) |
(pow (exp (/ 1 v)) -2) |
(exp (/ 1 v)) |
(/ 1 v) |
-2 |
1 |
(+ 1 (+ -2 (* u (+ (+ 2 (/ 2 v)) (/ (* -2 u) v))))) |
1 |
(+ -2 (* u (+ (+ 2 (/ 2 v)) (/ (* -2 u) v)))) |
-2 |
(* u (+ (+ 2 (/ 2 v)) (/ (* -2 u) v))) |
u |
(+ (+ 2 (/ 2 v)) (/ (* -2 u) v)) |
(+ 2 (/ 2 v)) |
2 |
(/ 2 v) |
v |
(/ (* -2 u) v) |
(* -2 u) |
(+ 1 (- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (* u 16)) v)) v)) v))) |
1 |
(- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (* u 16)) v)) v)) v)) |
(* -2 (- 1 u)) |
-2 |
(- 1 u) |
u |
(/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (* u 16)) v)) v)) v) |
(- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (* u 16)) v)) v)) |
(* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(+ (* (- 1 u) -4) 4) |
(* (- 1 u) -4) |
-4 |
4 |
-1/2 |
(/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (* u 16)) v)) v) |
(+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (* u 16)) v)) |
(* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) |
(+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) |
(* (- 1 u) 8) |
8 |
(* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) |
(* (- 1 u) (- 1 u)) |
(+ (* (- 1 u) 16) -24) |
(* (- 1 u) 16) |
16 |
-24 |
-1/6 |
(/ (* 1/24 (* u 16)) v) |
(* 1/24 (* u 16)) |
1/24 |
(* u 16) |
v |
(+ 1 (/ (* -4 (pow u 4)) (* v (* v v)))) |
1 |
(/ (* -4 (pow u 4)) (* v (* v v))) |
(* -4 (pow u 4)) |
-4 |
(pow u 4) |
u |
4 |
(* v (* v v)) |
v |
(* v v) |
| Outputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))))) |
1 |
#s(literal 1 binary32) |
(* v (log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2))))) |
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))) |
v |
(log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2)))) |
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))) |
(+ u (* (- 1 u) (pow (exp (/ 1 v)) -2))) |
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))) |
u |
(* (- 1 u) (pow (exp (/ 1 v)) -2)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(pow (exp (/ 1 v)) -2) |
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) |
(exp (/ 1 v)) |
(exp.f32 (/.f32 #s(literal 1 binary32) v)) |
(/ 1 v) |
(/.f32 #s(literal 1 binary32) v) |
-2 |
#s(literal -2 binary32) |
1 |
#s(literal 1 binary32) |
(+ 1 (+ -2 (* u (+ (+ 2 (/ 2 v)) (/ (* -2 u) v))))) |
(+.f32 (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 u #s(literal -2 binary32)) v))) #s(literal -1 binary32)) |
1 |
#s(literal 1 binary32) |
(+ -2 (* u (+ (+ 2 (/ 2 v)) (/ (* -2 u) v)))) |
(+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 u #s(literal -2 binary32)) v)))) |
-2 |
#s(literal -2 binary32) |
(* u (+ (+ 2 (/ 2 v)) (/ (* -2 u) v))) |
(*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 u #s(literal -2 binary32)) v))) |
u |
(+ (+ 2 (/ 2 v)) (/ (* -2 u) v)) |
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 u #s(literal -2 binary32)) v)) |
(+ 2 (/ 2 v)) |
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) |
2 |
#s(literal 2 binary32) |
(/ 2 v) |
(/.f32 #s(literal 2 binary32) v) |
v |
(/ (* -2 u) v) |
(/.f32 (*.f32 u #s(literal -2 binary32)) v) |
(* -2 u) |
(*.f32 u #s(literal -2 binary32)) |
(+ 1 (- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (* u 16)) v)) v)) v))) |
(+.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 u #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 #s(literal -2/3 binary32) (/.f32 u v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -4/3 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)) #s(literal -1/6 binary32)))))) v)) v) (+.f32 #s(literal -1 binary32) (*.f32 u #s(literal 2 binary32)))) |
1 |
#s(literal 1 binary32) |
(- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (* u 16)) v)) v)) v)) |
(-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/2 binary32)) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 u #s(literal 4 binary32)) v))) (/.f32 (-.f32 (*.f32 #s(literal -2/3 binary32) (/.f32 u v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -4/3 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)) #s(literal -1/6 binary32)))))) (*.f32 v v))) |
(* -2 (- 1 u)) |
(+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) |
-2 |
#s(literal -2 binary32) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
u |
(/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (* u 16)) v)) v)) v) |
(/.f32 (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -2/3 binary32) (/.f32 u v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -4/3 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)) #s(literal -1/6 binary32)))))) v) (*.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) u)) v) |
(- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (* u 16)) v)) v)) |
(+.f32 (/.f32 (-.f32 (*.f32 #s(literal -2/3 binary32) (/.f32 u v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -4/3 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)) #s(literal -1/6 binary32)))))) v) (*.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) u)) |
(* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) |
(*.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) u) |
(* (- 1 u) (+ (* (- 1 u) -4) 4)) |
(*.f32 #s(literal 4 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) u))) |
(+ (* (- 1 u) -4) 4) |
(*.f32 u #s(literal 4 binary32)) |
(* (- 1 u) -4) |
(+.f32 #s(literal -4 binary32) (*.f32 u #s(literal 4 binary32))) |
-4 |
#s(literal -4 binary32) |
4 |
#s(literal 4 binary32) |
-1/2 |
#s(literal -1/2 binary32) |
(/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (* u 16)) v)) v) |
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -4/3 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)) #s(literal -1/6 binary32))))) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) v) |
(+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (* u 16)) v)) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -4/3 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)) #s(literal -1/6 binary32))))) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) |
(* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -4/3 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)) #s(literal -1/6 binary32))))) |
(+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32))))) |
(* (- 1 u) 8) |
(+.f32 #s(literal 8 binary32) (*.f32 u #s(literal -8 binary32))) |
8 |
#s(literal 8 binary32) |
(* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)))) |
(* (- 1 u) (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
(+ (* (- 1 u) 16) -24) |
(+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)) |
(* (- 1 u) 16) |
(+.f32 #s(literal 16 binary32) (*.f32 u #s(literal -16 binary32))) |
16 |
#s(literal 16 binary32) |
-24 |
#s(literal -24 binary32) |
-1/6 |
#s(literal -1/6 binary32) |
(/ (* 1/24 (* u 16)) v) |
(*.f32 (/.f32 u v) #s(literal 2/3 binary32)) |
(* 1/24 (* u 16)) |
(*.f32 u #s(literal 2/3 binary32)) |
1/24 |
#s(literal 1/24 binary32) |
(* u 16) |
(*.f32 u #s(literal 16 binary32)) |
v |
(+ 1 (/ (* -4 (pow u 4)) (* v (* v v)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -4 binary32) (pow.f32 u #s(literal 4 binary32))) (*.f32 v (*.f32 v v)))) |
1 |
#s(literal 1 binary32) |
(/ (* -4 (pow u 4)) (* v (* v v))) |
(/.f32 (*.f32 #s(literal -4 binary32) (pow.f32 u #s(literal 4 binary32))) (*.f32 v (*.f32 v v))) |
(* -4 (pow u 4)) |
(*.f32 #s(literal -4 binary32) (pow.f32 u #s(literal 4 binary32))) |
-4 |
#s(literal -4 binary32) |
(pow u 4) |
(pow.f32 u #s(literal 4 binary32)) |
u |
4 |
#s(literal 4 binary32) |
(* v (* v v)) |
(*.f32 v (*.f32 v v)) |
v |
(* v v) |
(*.f32 v v) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f32 #s(literal -4 binary32) (pow.f32 u #s(literal 4 binary32))) |
| ✓ | accuracy | 100.0% | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -4 binary32) (pow.f32 u #s(literal 4 binary32))) (*.f32 v (*.f32 v v)))) |
| ✓ | accuracy | 99.6% | (*.f32 v (*.f32 v v)) |
| ✓ | accuracy | 96.1% | (/.f32 (*.f32 #s(literal -4 binary32) (pow.f32 u #s(literal 4 binary32))) (*.f32 v (*.f32 v v))) |
| ✓ | accuracy | 98.6% | (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
| ✓ | accuracy | 98.5% | (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) |
| ✓ | accuracy | 82.2% | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) |
| ✓ | accuracy | 81.2% | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) |
| ✓ | accuracy | 99.9% | (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 #s(literal -2 binary32) u) v)))) |
| ✓ | accuracy | 99.8% | (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 #s(literal -2 binary32) u) v))))) |
| ✓ | accuracy | 99.2% | (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 #s(literal -2 binary32) u) v))) |
| ✓ | accuracy | 98.5% | (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 #s(literal -2 binary32) u) v)) |
| ✓ | accuracy | 99.9% | (exp.f32 (/.f32 #s(literal 1 binary32) v)) |
| ✓ | accuracy | 99.9% | (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))) |
| ✓ | accuracy | 99.9% | (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) |
| ✓ | accuracy | 99.2% | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))) |
| 224.0ms | 256× | 0 | valid |
Compiled 639 to 58 computations (90.9% saved)
ival-mult: 29.0ms (29.2% of total)ival-div: 16.0ms (16.1% of total)ival-add: 16.0ms (16.1% of total)ival-sub: 13.0ms (13.1% of total)ival-pow: 10.0ms (10.1% of total)...c/correct-round.rkt:119:19: 8.0ms (8.1% of total)ival-exp: 4.0ms (4% of total)ival-log: 3.0ms (3% of total)const: 2.0ms (2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2))))))> |
#<alt (* v (log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2)))))> |
#<alt (log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2))))> |
#<alt (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2)))> |
#<alt (+ 1 (+ -2 (* u (+ (+ 2 (/ 2 v)) (/ (* -2 u) v)))))> |
#<alt (+ -2 (* u (+ (+ 2 (/ 2 v)) (/ (* -2 u) v))))> |
#<alt (* u (+ (+ 2 (/ 2 v)) (/ (* -2 u) v)))> |
#<alt (+ (+ 2 (/ 2 v)) (/ (* -2 u) v))> |
#<alt (+ (* (- 1 u) -4) 4)> |
#<alt (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)))> |
#<alt (+ 1 (- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (* u 16)) v)) v)) v)))> |
#<alt (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2)> |
#<alt (+ 1 (/ (* -4 (pow u 4)) (* v (* v v))))> |
#<alt (/ (* -4 (pow u 4)) (* v (* v v)))> |
#<alt (* -4 (pow u 4))> |
#<alt (pow u 4)> |
#<alt (pow (exp (/ 1 v)) -2)> |
#<alt (exp (/ 1 v))> |
#<alt (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))> |
#<alt (* (- 1 u) (- 1 u))> |
#<alt (* v (* v v))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* v (log (- (+ u (/ 1 (pow (exp (/ 1 v)) 2))) (/ u (pow (exp (/ 1 v)) 2))))))> |
#<alt (+ 1 (* v (log (- (+ u (/ 1 (pow (exp (/ 1 v)) 2))) (/ u (pow (exp (/ 1 v)) 2))))))> |
#<alt (+ 1 (* v (log (- (+ u (/ 1 (pow (exp (/ 1 v)) 2))) (/ u (pow (exp (/ 1 v)) 2))))))> |
#<alt (- (* 2 u) 1)> |
#<alt (- (+ (* 1/2 (/ (+ (* -1 (pow (- (* 2 u) 2) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))) v)) (* 2 u)) 1)> |
#<alt (- (+ (* 1/6 (/ (+ (* -6 (* (+ 2 (+ (* -4 u) (* 2 u))) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (+ (* -4 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (* 4/3 u))) 4/3)))) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (pow (- (* 2 u) 2) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))) v)) (* 2 u))) 1)> |
#<alt (- (+ (* 1/24 (/ (+ (* -24 (* (- (* 2 u) 2) (- (+ (* -4 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (* 4/3 u))) 4/3))) (+ (* -12 (pow (+ 2 (+ (* -4 u) (* 2 u))) 2)) (+ (* -6 (pow (- (* 2 u) 2) 4)) (+ (* 24 (* (+ 2 (+ (* -4 u) (* 2 u))) (pow (- (* 2 u) 2) 2))) (* 24 (+ 2/3 (+ (* -8/3 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (+ (* -2 (+ (* -4 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (* 4/3 u)))) (* 2/3 u)))))))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -6 (* (+ 2 (+ (* -4 u) (* 2 u))) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (+ (* -4 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (* 4/3 u))) 4/3)))) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (pow (- (* 2 u) 2) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))) v)) (* 2 u)))) 1)> |
#<alt (+ 1 (* -1 (+ 2 (* -2 u))))> |
#<alt (+ 1 (+ (* -1 (+ 2 (* -2 u))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))) v))))> |
#<alt (+ 1 (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u)))))) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (+ 2 (+ (* -4 u) (* 2 u))))) (+ (* 2 (pow (+ 2 (* -2 u)) 3)) (* 6 (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u))))))) v))) v))))> |
#<alt (+ 1 (+ (* -1 (+ 2 (* -2 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (* (+ 2 (* -2 u)) (+ 2 (+ (* -4 u) (* 2 u))))) (+ (* 2 (pow (+ 2 (* -2 u)) 3)) (* 6 (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u)))))))) (* 1/24 (/ (+ (* -24 (* (+ 4/3 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u)))) (+ 2 (* -2 u)))) (+ (* -12 (pow (+ 2 (+ (* -4 u) (* 2 u))) 2)) (+ (* -6 (pow (+ 2 (* -2 u)) 4)) (+ (* 24 (* (pow (+ 2 (* -2 u)) 2) (+ 2 (+ (* -4 u) (* 2 u))))) (* 24 (+ 2/3 (+ (* -8/3 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (+ (* 2/3 u) (* 2 (+ (* -4/3 u) (+ (* 2 (+ (* -4 u) (* 2 u))) (* 4 u))))))))))))) v))) v)) (* -1/2 (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))))) v))))> |
#<alt (+ 1 (* v (log (/ 1 (pow (exp (/ 1 v)) 2)))))> |
#<alt (+ 1 (+ (* u (* v (* (pow (exp (/ 1 v)) 2) (- 1 (/ 1 (pow (exp (/ 1 v)) 2)))))) (* v (log (/ 1 (pow (exp (/ 1 v)) 2))))))> |
#<alt (+ 1 (+ (* u (+ (* -1/2 (* u (* v (* (pow (exp (/ 1 v)) 4) (pow (- 1 (/ 1 (pow (exp (/ 1 v)) 2))) 2))))) (* v (* (pow (exp (/ 1 v)) 2) (- 1 (/ 1 (pow (exp (/ 1 v)) 2))))))) (* v (log (/ 1 (pow (exp (/ 1 v)) 2))))))> |
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#<alt (+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v))> |
#<alt (+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v))> |
#<alt (+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v))> |
#<alt (* 2 u)> |
#<alt (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u))> |
#<alt (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u))> |
#<alt (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u))> |
#<alt (/ (+ 2 (* -2 u)) v)> |
#<alt (/ (+ 2 (+ (* -2 u) (* 2 v))) v)> |
#<alt (/ (+ 2 (+ (* -2 u) (* 2 v))) v)> |
#<alt (/ (+ 2 (+ (* -2 u) (* 2 v))) v)> |
#<alt 2> |
#<alt (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))> |
#<alt (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))> |
#<alt (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))> |
#<alt 2> |
#<alt (+ 2 (* -1 (/ (- (* 2 u) 2) v)))> |
#<alt (+ 2 (* -1 (/ (- (* 2 u) 2) v)))> |
#<alt (+ 2 (* -1 (/ (- (* 2 u) 2) v)))> |
#<alt (+ 2 (* 2 (/ 1 v)))> |
#<alt (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))> |
#<alt (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))> |
#<alt (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))> |
#<alt (* -2 (/ u v))> |
#<alt (* u (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* u (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* u (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))> |
#<alt (* -2 (/ u v))> |
#<alt (* -1 (* u (+ (* -1 (/ (+ 2 (* 2 (/ 1 v))) u)) (* 2 (/ 1 v)))))> |
#<alt (* -1 (* u (+ (* -1 (/ (+ 2 (* 2 (/ 1 v))) u)) (* 2 (/ 1 v)))))> |
#<alt (* -1 (* u (+ (* -1 (/ (+ 2 (* 2 (/ 1 v))) u)) (* 2 (/ 1 v)))))> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* 4 u)> |
#<alt (* -8 u)> |
#<alt (* u (- (* 24 u) 8))> |
#<alt (* u (- (* u (+ 24 (* -16 u))) 8))> |
#<alt (* u (- (* u (+ 24 (* -16 u))) 8))> |
#<alt (* -16 (pow u 3))> |
#<alt (* (pow u 3) (- (* 24 (/ 1 u)) 16))> |
#<alt (* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 2)))))> |
#<alt (* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 2)))))> |
#<alt (* -16 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- 16 (* 24 (/ 1 u)))))> |
#<alt (* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 u))) u)))))> |
#<alt (* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 u))) u)))))> |
#<alt -1> |
#<alt (- (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 1)> |
#<alt (- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))))) 1)> |
#<alt (- (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))))))) 1)> |
#<alt (* 8/3 (/ (pow u 3) (pow v 2)))> |
#<alt (* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))> |
#<alt (* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 2/3 (/ 1 (* (pow u 2) (pow v 3)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2)))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))> |
#<alt (* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 2/3 (/ 1 (* (pow u 2) (pow v 3)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2)))))) (+ (/ 1 (pow u 3)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))))> |
#<alt (* 8/3 (/ (pow u 3) (pow v 2)))> |
#<alt (* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (+ (/ 2/3 (* u (pow v 3))) (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v))))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 u) (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))> |
#<alt (* 2/3 (/ u (pow v 3)))> |
#<alt (/ (+ (* -1/6 (* v (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) (* 2/3 u)) (pow v 3))> |
#<alt (/ (+ (* 2/3 u) (* v (+ (* -1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24)))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))))) (pow v 3))> |
#<alt (/ (+ (* 2/3 u) (* v (+ (* -1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24)))) (* v (- (* v (+ 1 (* -2 (- 1 u)))) (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))))))) (pow v 3))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))> |
#<alt (- (+ 1 (+ (* -2 (- 1 u)) (* -1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) (pow v 2))))) (* -1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))> |
#<alt (- (+ 1 (+ (* -2 (- 1 u)) (* 2/3 (/ u (pow v 3))))) (+ (* -1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) (pow v 2)))))> |
#<alt (+ 1 (* -2 (- 1 u)))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (- (* 1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) v)) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v))))> |
#<alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ u v)) (* 1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) v)) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v))))> |
#<alt (* -2 u)> |
#<alt (* u (- (* 2 u) 2))> |
#<alt (* u (- (* 2 u) 2))> |
#<alt (* u (- (* 2 u) 2))> |
#<alt (* 2 (pow u 2))> |
#<alt (* (pow u 2) (- 2 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- 2 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- 2 (* 2 (/ 1 u))))> |
#<alt (* 2 (pow u 2))> |
#<alt (* (pow u 2) (- 2 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- 2 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- 2 (* 2 (/ 1 u))))> |
#<alt 1> |
#<alt (+ 1 (* -4 (/ (pow u 4) (pow v 3))))> |
#<alt (+ 1 (* -4 (/ (pow u 4) (pow v 3))))> |
#<alt (+ 1 (* -4 (/ (pow u 4) (pow v 3))))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* (pow u 4) (- (/ 1 (pow u 4)) (* 4 (/ 1 (pow v 3)))))> |
#<alt (* (pow u 4) (- (/ 1 (pow u 4)) (* 4 (/ 1 (pow v 3)))))> |
#<alt (* (pow u 4) (- (/ 1 (pow u 4)) (* 4 (/ 1 (pow v 3)))))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* (pow u 4) (- (/ 1 (pow u 4)) (* 4 (/ 1 (pow v 3)))))> |
#<alt (* (pow u 4) (- (/ 1 (pow u 4)) (* 4 (/ 1 (pow v 3)))))> |
#<alt (* (pow u 4) (- (/ 1 (pow u 4)) (* 4 (/ 1 (pow v 3)))))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (/ (+ (* -4 (pow u 4)) (pow v 3)) (pow v 3))> |
#<alt (/ (+ (* -4 (pow u 4)) (pow v 3)) (pow v 3))> |
#<alt (/ (+ (* -4 (pow u 4)) (pow v 3)) (pow v 3))> |
#<alt 1> |
#<alt (+ 1 (* -4 (/ (pow u 4) (pow v 3))))> |
#<alt (+ 1 (* -4 (/ (pow u 4) (pow v 3))))> |
#<alt (+ 1 (* -4 (/ (pow u 4) (pow v 3))))> |
#<alt 1> |
#<alt (+ 1 (* -4 (/ (pow u 4) (pow v 3))))> |
#<alt (+ 1 (* -4 (/ (pow u 4) (pow v 3))))> |
#<alt (+ 1 (* -4 (/ (pow u 4) (pow v 3))))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (/ (pow u 4) (pow v 3)))> |
#<alt (* -4 (pow u 4))> |
#<alt (* -4 (pow u 4))> |
#<alt (* -4 (pow u 4))> |
#<alt (* -4 (pow u 4))> |
#<alt (* -4 (pow u 4))> |
#<alt (* -4 (pow u 4))> |
#<alt (* -4 (pow u 4))> |
#<alt (* -4 (pow u 4))> |
#<alt (* -4 (pow u 4))> |
#<alt (* -4 (pow u 4))> |
#<alt (* -4 (pow u 4))> |
#<alt (* -4 (pow u 4))> |
#<alt (pow u 4)> |
#<alt (pow u 4)> |
#<alt (pow u 4)> |
#<alt (pow u 4)> |
#<alt (pow u 4)> |
#<alt (pow u 4)> |
#<alt (pow u 4)> |
#<alt (pow u 4)> |
#<alt (pow u 4)> |
#<alt (pow u 4)> |
#<alt (pow u 4)> |
#<alt (pow u 4)> |
#<alt (/ 1 (pow (exp (/ 1 v)) 2))> |
#<alt (/ 1 (pow (exp (/ 1 v)) 2))> |
#<alt (/ 1 (pow (exp (/ 1 v)) 2))> |
#<alt (/ 1 (pow (exp (/ 1 v)) 2))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 v)))> |
#<alt (- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))> |
#<alt (- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 v)))> |
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))> |
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))> |
#<alt (exp (/ 1 v))> |
#<alt (exp (/ 1 v))> |
#<alt (exp (/ 1 v))> |
#<alt (exp (/ 1 v))> |
#<alt 1> |
#<alt (+ 1 (/ 1 v))> |
#<alt (+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))> |
#<alt (+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))> |
#<alt 1> |
#<alt (+ 1 (/ 1 v))> |
#<alt (+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))> |
#<alt -8> |
#<alt (- (* 24 (pow u 2)) 8)> |
#<alt (- (* (pow u 2) (+ 24 (* -16 u))) 8)> |
#<alt (- (* (pow u 2) (+ 24 (* -16 u))) 8)> |
#<alt (* -16 (pow u 3))> |
#<alt (* (pow u 3) (- (* 24 (/ 1 u)) 16))> |
#<alt (* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 3)))))> |
#<alt (* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 3)))))> |
#<alt (* -16 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- 16 (* 24 (/ 1 u)))))> |
#<alt (* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 (pow u 2)))) u)))))> |
#<alt (* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 (pow u 2)))) u)))))> |
#<alt 1> |
#<alt (+ 1 (* -2 u))> |
#<alt (+ 1 (* u (- u 2)))> |
#<alt (+ 1 (* u (- u 2)))> |
#<alt (pow u 2)> |
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))> |
#<alt (pow u 2)> |
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))> |
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | v | @ | 0 | (* v (log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2))))) |
| 22.0ms | v | @ | 0 | (+ 1 (+ -2 (* u (+ (+ 2 (/ 2 v)) (/ (* -2 u) v))))) |
| 7.0ms | v | @ | -inf | (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2)))))) |
| 6.0ms | v | @ | inf | (/ (* -4 (pow u 4)) (* v (* v v))) |
| 5.0ms | v | @ | 0 | (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2)))))) |
| 1× | batch-egg-rewrite |
| 4278× | *-lowering-*.f32 |
| 4278× | *-lowering-*.f64 |
| 1774× | /-lowering-/.f32 |
| 1774× | /-lowering-/.f64 |
| 1654× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 239 |
| 1 | 381 | 225 |
| 2 | 4120 | 224 |
| 0 | 8495 | 224 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2)))))) |
(* v (log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2))))) |
(log (+ u (* (- 1 u) (pow (exp (/ 1 v)) -2)))) |
(+ u (* (- 1 u) (pow (exp (/ 1 v)) -2))) |
(+ 1 (+ -2 (* u (+ (+ 2 (/ 2 v)) (/ (* -2 u) v))))) |
(+ -2 (* u (+ (+ 2 (/ 2 v)) (/ (* -2 u) v)))) |
(* u (+ (+ 2 (/ 2 v)) (/ (* -2 u) v))) |
(+ (+ 2 (/ 2 v)) (/ (* -2 u) v)) |
(+ (* (- 1 u) -4) 4) |
(+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) |
(+ 1 (- (* -2 (- 1 u)) (/ (- (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (/ (+ (* (+ (* (- 1 u) 8) (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24))) -1/6) (/ (* 1/24 (* u 16)) v)) v)) v))) |
(* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) |
(+ 1 (/ (* -4 (pow u 4)) (* v (* v v)))) |
(/ (* -4 (pow u 4)) (* v (* v v))) |
(* -4 (pow u 4)) |
(pow u 4) |
(pow (exp (/ 1 v)) -2) |
(exp (/ 1 v)) |
(* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) |
(* (- 1 u) (- 1 u)) |
(* v (* v 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))))))) |
(+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (-.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32)))) #s(literal -1 binary32)) |
(fma.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(-.f32 (/.f32 #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 (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.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) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (-.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (-.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.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) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.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) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (-.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)))))) |
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(pow.f32 (/.f32 (/.f32 (*.f32 v (*.f32 v v)) (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 v v) (*.f32 #s(literal -4 binary32) (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) v))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (*.f32 v v)) (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v (*.f32 v v)) (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v v) (*.f32 #s(literal -4 binary32) (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) v)))) |
(/.f32 (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32))) (*.f32 v (*.f32 v v))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 v (*.f32 v v)) (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32)))))) |
(/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (*.f32 u u) (*.f32 u u))) (-.f32 #s(literal 0 binary32) (*.f32 v (*.f32 v v)))) |
(/.f32 (*.f32 #s(literal -4 binary32) (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) v)) (*.f32 v v)) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32)))) (*.f32 v (*.f32 v v))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) (*.f32 (*.f32 u u) (*.f32 u u)))) (-.f32 #s(literal 0 binary32) (*.f32 v (*.f32 v v)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -4 binary32) (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) v))) (*.f32 v v)) |
(/.f32 (*.f32 (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32))) #s(literal 1 binary32)) (*.f32 v (*.f32 v v))) |
(/.f32 (neg.f32 (*.f32 #s(literal 4 binary32) (*.f32 (*.f32 u u) (*.f32 u u)))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 v (*.f32 v v))))) |
(/.f32 (neg.f32 (*.f32 #s(literal -4 binary32) (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) v))) (neg.f32 (*.f32 v v))) |
(/.f32 (*.f32 (/.f32 #s(literal -4 binary32) v) (*.f32 (*.f32 u u) (*.f32 u u))) (*.f32 v v)) |
(/.f32 (*.f32 #s(literal -4 binary32) (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) (*.f32 v v))) v) |
(/.f32 (/.f32 (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32))) (*.f32 v v)) v) |
(/.f32 (/.f32 (*.f32 #s(literal -4 binary32) (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) v)) v) v) |
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32))) (*.f32 v (*.f32 v v)))) |
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 (*.f32 v v) (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32)))) #s(literal -1 binary32))) |
(*.f32 #s(literal -4 binary32) (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) (*.f32 v (*.f32 v v)))) |
(*.f32 (*.f32 (*.f32 u u) (*.f32 u u)) (*.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))))) |
(*.f32 (*.f32 (*.f32 u u) (*.f32 u u)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))) |
(*.f32 (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v)))) |
(*.f32 (/.f32 (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32))) (*.f32 v (*.f32 v v))) #s(literal 1 binary32)) |
(*.f32 (*.f32 #s(literal 4 binary32) (*.f32 (*.f32 u u) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 v (*.f32 v v))))) |
(*.f32 (/.f32 #s(literal -4 binary32) v) (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) (*.f32 v v))) |
(*.f32 (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) (*.f32 v v)) (/.f32 #s(literal -4 binary32) v)) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32)))) #s(literal -1 binary32))) |
(*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v v))) |
(*.f32 (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) (*.f32 v (*.f32 v v))) #s(literal -4 binary32)) |
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v)))) |
(*.f32 (/.f32 #s(literal -4 binary32) (*.f32 v v)) (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) v)) |
(*.f32 (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (*.f32 #s(literal -4 binary32) (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) v))) |
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -4 binary32) v)) (/.f32 (*.f32 (*.f32 u u) (*.f32 u u)) (*.f32 v v))) |
(*.f32 (pow.f32 (/.f32 v (*.f32 (*.f32 u u) (*.f32 u u))) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 v v) #s(literal -4 binary32)) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 (*.f32 v v) #s(literal -4 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 v (*.f32 (*.f32 u u) (*.f32 u u))) #s(literal -1 binary32))) |
(*.f32 #s(literal -4 binary32) (*.f32 (*.f32 u u) (*.f32 u u))) |
(*.f32 (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal -4 binary32)) |
(*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32))) |
(*.f32 (*.f32 #s(literal -4 binary32) (*.f32 u u)) (*.f32 u u)) |
(exp.f32 (*.f32 #s(literal 4 binary32) (log.f32 u))) |
(exp.f32 (*.f32 (log.f32 (*.f32 u u)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 (log.f32 u))) #s(literal 4 binary32))) |
(pow.f32 u #s(literal 4 binary32)) |
(pow.f32 (*.f32 u u) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (log.f32 u)) #s(literal 4 binary32)) |
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) (*.f32 u u))) |
(*.f32 (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal 1 binary32)) |
(*.f32 (*.f32 u u) (*.f32 u u)) |
(*.f32 (pow.f32 (pow.f32 u #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 u #s(literal 1 binary32)) #s(literal 2 binary32))) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(exp.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) |
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) |
(pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32))) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 #s(literal -2 binary32) v)) |
(*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32)))) |
(*.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1/2 binary32))) #s(literal 2 binary32))) |
(exp.f32 (/.f32 #s(literal 1 binary32) v)) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) v))) |
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) |
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v)) |
(pow.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v)) |
(pow.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 v))) |
(pow.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)))) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) |
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)))) |
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) #s(literal 3 binary32)) (*.f32 #s(literal -13824 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 6 binary32)))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))))) |
(/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 256 binary32))) #s(literal -13824 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 256 binary32)) (-.f32 #s(literal 576 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -384 binary32))))) |
(/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 256 binary32)) #s(literal -576 binary32))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal 24 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 256 binary32))) #s(literal -13824 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 256 binary32)) (-.f32 #s(literal 576 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -384 binary32))))) |
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 256 binary32)) #s(literal -576 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal 24 binary32))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) |
(*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) (-.f32 #s(literal 1 binary32) u)) |
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 2 binary32))) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 u))) |
(+.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) u))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u))) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u))) (+.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 v) #s(literal 3 binary32))) |
(pow.f32 v #s(literal 3 binary32)) |
(*.f32 v (*.f32 v v)) |
(*.f32 (*.f32 v v) v) |
(*.f32 (*.f32 v (*.f32 v v)) #s(literal 1 binary32)) |
(*.f32 (pow.f32 v #s(literal 3/2 binary32)) (pow.f32 v #s(literal 3/2 binary32))) |
| 1× | egg-herbie |
| 5734× | +-lowering-+.f64 |
| 5734× | +-lowering-+.f32 |
| 4220× | *-lowering-*.f32 |
| 4220× | *-lowering-*.f64 |
| 1464× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 707 | 6833 |
| 1 | 2395 | 6021 |
| 0 | 8445 | 6021 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* v (log (- (+ u (/ 1 (pow (exp (/ 1 v)) 2))) (/ u (pow (exp (/ 1 v)) 2)))))) |
(+ 1 (* v (log (- (+ u (/ 1 (pow (exp (/ 1 v)) 2))) (/ u (pow (exp (/ 1 v)) 2)))))) |
(+ 1 (* v (log (- (+ u (/ 1 (pow (exp (/ 1 v)) 2))) (/ u (pow (exp (/ 1 v)) 2)))))) |
(- (* 2 u) 1) |
(- (+ (* 1/2 (/ (+ (* -1 (pow (- (* 2 u) 2) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))) v)) (* 2 u)) 1) |
(- (+ (* 1/6 (/ (+ (* -6 (* (+ 2 (+ (* -4 u) (* 2 u))) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (+ (* -4 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (* 4/3 u))) 4/3)))) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (pow (- (* 2 u) 2) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))) v)) (* 2 u))) 1) |
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(- (+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v)) 2) |
(- (* 2 u) 2) |
(- (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) 2) |
(- (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) 2) |
(- (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) 2) |
(* u (+ 2 (* 2 (/ 1 v)))) |
(* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) |
(* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) |
(* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* -2 (/ (pow u 2) v)) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(/ (* u (+ 2 (* -2 u))) v) |
(/ (+ (* 2 (* u v)) (* u (+ 2 (* -2 u)))) v) |
(/ (+ (* 2 (* u v)) (* u (+ 2 (* -2 u)))) v) |
(/ (+ (* 2 (* u v)) (* u (+ 2 (* -2 u)))) v) |
(* 2 u) |
(+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v)) |
(+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v)) |
(+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v)) |
(* 2 u) |
(+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) |
(+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) |
(+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) |
(/ (+ 2 (* -2 u)) v) |
(/ (+ 2 (+ (* -2 u) (* 2 v))) v) |
(/ (+ 2 (+ (* -2 u) (* 2 v))) v) |
(/ (+ 2 (+ (* -2 u) (* 2 v))) v) |
2 |
(+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v)))) |
(+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v)))) |
(+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v)))) |
2 |
(+ 2 (* -1 (/ (- (* 2 u) 2) v))) |
(+ 2 (* -1 (/ (- (* 2 u) 2) v))) |
(+ 2 (* -1 (/ (- (* 2 u) 2) v))) |
(+ 2 (* 2 (/ 1 v))) |
(+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v)))) |
(+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v)))) |
(+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v)))) |
(* -2 (/ u v)) |
(* u (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* u (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* u (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))) |
(* -2 (/ u v)) |
(* -1 (* u (+ (* -1 (/ (+ 2 (* 2 (/ 1 v))) u)) (* 2 (/ 1 v))))) |
(* -1 (* u (+ (* -1 (/ (+ 2 (* 2 (/ 1 v))) u)) (* 2 (/ 1 v))))) |
(* -1 (* u (+ (* -1 (/ (+ 2 (* 2 (/ 1 v))) u)) (* 2 (/ 1 v))))) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* -8 u) |
(* u (- (* 24 u) 8)) |
(* u (- (* u (+ 24 (* -16 u))) 8)) |
(* u (- (* u (+ 24 (* -16 u))) 8)) |
(* -16 (pow u 3)) |
(* (pow u 3) (- (* 24 (/ 1 u)) 16)) |
(* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 2))))) |
(* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 2))))) |
(* -16 (pow u 3)) |
(* -1 (* (pow u 3) (- 16 (* 24 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 u))) u))))) |
-1 |
(- (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 1) |
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))))) 1) |
(- (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))))))) 1) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 2/3 (/ 1 (* (pow u 2) (pow v 3)))) (+ (* 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)))) (+ (* 2/3 (/ 1 (* (pow u 2) (pow v 3)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2)))))) (+ (/ 1 (pow u 3)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (+ (/ 2/3 (* u (pow v 3))) (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v))))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 u) (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* 2/3 (/ u (pow v 3))) |
(/ (+ (* -1/6 (* v (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) (* 2/3 u)) (pow v 3)) |
(/ (+ (* 2/3 u) (* v (+ (* -1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24)))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))))) (pow v 3)) |
(/ (+ (* 2/3 u) (* v (+ (* -1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24)))) (* v (- (* v (+ 1 (* -2 (- 1 u)))) (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))))))) (pow v 3)) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))) |
(- (+ 1 (+ (* -2 (- 1 u)) (* -1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) (pow v 2))))) (* -1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) |
(- (+ 1 (+ (* -2 (- 1 u)) (* 2/3 (/ u (pow v 3))))) (+ (* -1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) (pow v 2))))) |
(+ 1 (* -2 (- 1 u))) |
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (- (* 1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) v)) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v)))) |
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ u v)) (* 1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) v)) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v)))) |
(* -2 u) |
(* u (- (* 2 u) 2)) |
(* u (- (* 2 u) 2)) |
(* u (- (* 2 u) 2)) |
(* 2 (pow u 2)) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
(* 2 (pow u 2)) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
1 |
(+ 1 (* -4 (/ (pow u 4) (pow v 3)))) |
(+ 1 (* -4 (/ (pow u 4) (pow v 3)))) |
(+ 1 (* -4 (/ (pow u 4) (pow v 3)))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* (pow u 4) (- (/ 1 (pow u 4)) (* 4 (/ 1 (pow v 3))))) |
(* (pow u 4) (- (/ 1 (pow u 4)) (* 4 (/ 1 (pow v 3))))) |
(* (pow u 4) (- (/ 1 (pow u 4)) (* 4 (/ 1 (pow v 3))))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* (pow u 4) (- (/ 1 (pow u 4)) (* 4 (/ 1 (pow v 3))))) |
(* (pow u 4) (- (/ 1 (pow u 4)) (* 4 (/ 1 (pow v 3))))) |
(* (pow u 4) (- (/ 1 (pow u 4)) (* 4 (/ 1 (pow v 3))))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(/ (+ (* -4 (pow u 4)) (pow v 3)) (pow v 3)) |
(/ (+ (* -4 (pow u 4)) (pow v 3)) (pow v 3)) |
(/ (+ (* -4 (pow u 4)) (pow v 3)) (pow v 3)) |
1 |
(+ 1 (* -4 (/ (pow u 4) (pow v 3)))) |
(+ 1 (* -4 (/ (pow u 4) (pow v 3)))) |
(+ 1 (* -4 (/ (pow u 4) (pow v 3)))) |
1 |
(+ 1 (* -4 (/ (pow u 4) (pow v 3)))) |
(+ 1 (* -4 (/ (pow u 4) (pow v 3)))) |
(+ 1 (* -4 (/ (pow u 4) (pow v 3)))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* -4 (pow u 4)) |
(* -4 (pow u 4)) |
(* -4 (pow u 4)) |
(* -4 (pow u 4)) |
(* -4 (pow u 4)) |
(* -4 (pow u 4)) |
(* -4 (pow u 4)) |
(* -4 (pow u 4)) |
(* -4 (pow u 4)) |
(* -4 (pow u 4)) |
(* -4 (pow u 4)) |
(* -4 (pow u 4)) |
(pow u 4) |
(pow u 4) |
(pow u 4) |
(pow u 4) |
(pow u 4) |
(pow u 4) |
(pow u 4) |
(pow u 4) |
(pow u 4) |
(pow u 4) |
(pow u 4) |
(pow u 4) |
(/ 1 (pow (exp (/ 1 v)) 2)) |
(/ 1 (pow (exp (/ 1 v)) 2)) |
(/ 1 (pow (exp (/ 1 v)) 2)) |
(/ 1 (pow (exp (/ 1 v)) 2)) |
1 |
(- 1 (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
1 |
(- 1 (* 2 (/ 1 v))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(exp (/ 1 v)) |
(exp (/ 1 v)) |
(exp (/ 1 v)) |
(exp (/ 1 v)) |
1 |
(+ 1 (/ 1 v)) |
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v))) |
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))) |
1 |
(+ 1 (/ 1 v)) |
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v))) |
-8 |
(- (* 24 (pow u 2)) 8) |
(- (* (pow u 2) (+ 24 (* -16 u))) 8) |
(- (* (pow u 2) (+ 24 (* -16 u))) 8) |
(* -16 (pow u 3)) |
(* (pow u 3) (- (* 24 (/ 1 u)) 16)) |
(* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 3))))) |
(* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 3))))) |
(* -16 (pow u 3)) |
(* -1 (* (pow u 3) (- 16 (* 24 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 (pow u 2)))) u))))) |
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 (pow u 2)))) u))))) |
1 |
(+ 1 (* -2 u)) |
(+ 1 (* u (- u 2))) |
(+ 1 (* u (- u 2))) |
(pow u 2) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(pow u 2) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u)))) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (* v (log (- (+ u (/ 1 (pow (exp (/ 1 v)) 2))) (/ u (pow (exp (/ 1 v)) 2)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 u (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v))))))))) |
(+ 1 (* v (log (- (+ u (/ 1 (pow (exp (/ 1 v)) 2))) (/ u (pow (exp (/ 1 v)) 2)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 u (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v))))))))) |
(+ 1 (* v (log (- (+ u (/ 1 (pow (exp (/ 1 v)) 2))) (/ u (pow (exp (/ 1 v)) 2)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 u (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v))))))))) |
(- (* 2 u) 1) |
(+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)) |
(- (+ (* 1/2 (/ (+ (* -1 (pow (- (* 2 u) 2) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))) v)) (* 2 u)) 1) |
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 (*.f32 u #s(literal -4 binary32)) #s(literal 4 binary32)) (*.f32 (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32)) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))))) v) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -1 binary32))) |
(- (+ (* 1/6 (/ (+ (* -6 (* (+ 2 (+ (* -4 u) (* 2 u))) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (+ (* -4 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (* 4/3 u))) 4/3)))) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (pow (- (* 2 u) 2) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))) v)) (* 2 u))) 1) |
(+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (+.f32 (*.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))) (*.f32 (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32)) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))))) (*.f32 #s(literal 6 binary32) (+.f32 (+.f32 (*.f32 u #s(literal -4 binary32)) (*.f32 u #s(literal 4 binary32))) (+.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -4/3 binary32)))))) (*.f32 v v)) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 (*.f32 u #s(literal -4 binary32)) #s(literal 4 binary32)) (*.f32 (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32)) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))))) v) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)))) |
(- (+ (* 1/24 (/ (+ (* -24 (* (- (* 2 u) 2) (- (+ (* -4 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (* 4/3 u))) 4/3))) (+ (* -12 (pow (+ 2 (+ (* -4 u) (* 2 u))) 2)) (+ (* -6 (pow (- (* 2 u) 2) 4)) (+ (* 24 (* (+ 2 (+ (* -4 u) (* 2 u))) (pow (- (* 2 u) 2) 2))) (* 24 (+ 2/3 (+ (* -8/3 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (+ (* -2 (+ (* -4 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (* 4/3 u)))) (* 2/3 u)))))))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -6 (* (+ 2 (+ (* -4 u) (* 2 u))) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (+ (* -4 u) (+ (* -2 (+ (* -4 u) (* 2 u))) (* 4/3 u))) 4/3)))) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (pow (- (* 2 u) 2) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))) v)) (* 2 u)))) 1) |
(+.f32 (+.f32 (*.f32 u #s(literal 2 binary32)) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 (*.f32 u #s(literal -4 binary32)) #s(literal 4 binary32)) (*.f32 (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32)) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))))) v) (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (+.f32 (*.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))) (*.f32 (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32)) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))))) (*.f32 #s(literal 6 binary32) (+.f32 (+.f32 (*.f32 u #s(literal -4 binary32)) (*.f32 u #s(literal 4 binary32))) (+.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -4/3 binary32)))))) (*.f32 v v)))) (-.f32 (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (+.f32 (*.f32 (*.f32 #s(literal -24 binary32) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))) (+.f32 (+.f32 (*.f32 u #s(literal -4 binary32)) (*.f32 u #s(literal 4 binary32))) (+.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -4/3 binary32)))) (+.f32 (*.f32 #s(literal -12 binary32) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32))))) (*.f32 #s(literal -6 binary32) (pow.f32 (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32)) #s(literal 4 binary32))))) (*.f32 #s(literal 24 binary32) (+.f32 (+.f32 (*.f32 (*.f32 (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32)) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32)))) (+.f32 #s(literal 2/3 binary32) (*.f32 u #s(literal -8/3 binary32)))) (+.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 u #s(literal 4/3 binary32)) (+.f32 (*.f32 u #s(literal -4 binary32)) (*.f32 u #s(literal 4 binary32))))) (+.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 u #s(literal 4 binary32)))))))) (*.f32 v (*.f32 v v))) #s(literal 1 binary32))) |
(+ 1 (* -1 (+ 2 (* -2 u)))) |
(+.f32 #s(literal -1 binary32) (*.f32 u #s(literal 2 binary32))) |
(+ 1 (+ (* -1 (+ 2 (* -2 u))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* -2 u)) 2)) (* 2 (+ 2 (+ (* -4 u) (* 2 u))))) v)))) |
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 (*.f32 u #s(literal -4 binary32)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32)))))) v) (+.f32 #s(literal -1 binary32) (*.f32 u #s(literal 2 binary32)))) |
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(+ 1 (/ 1 v)) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)) |
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v))) |
(+.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32))) |
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))) |
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v (*.f32 v v))) #s(literal 1 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (/ 1 v)) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)) |
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v))) |
(+.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v))) |
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) (neg.f32 v)) #s(literal -1 binary32)) v)) |
-8 |
#s(literal -8 binary32) |
(- (* 24 (pow u 2)) 8) |
(+.f32 (*.f32 #s(literal 24 binary32) (*.f32 u u)) #s(literal -8 binary32)) |
(- (* (pow u 2) (+ 24 (* -16 u))) 8) |
(+.f32 (*.f32 (*.f32 u u) (+.f32 #s(literal 24 binary32) (*.f32 u #s(literal -16 binary32)))) #s(literal -8 binary32)) |
(- (* (pow u 2) (+ 24 (* -16 u))) 8) |
(+.f32 (*.f32 (*.f32 u u) (+.f32 #s(literal 24 binary32) (*.f32 u #s(literal -16 binary32)))) #s(literal -8 binary32)) |
(* -16 (pow u 3)) |
(*.f32 (*.f32 u (*.f32 u u)) #s(literal -16 binary32)) |
(* (pow u 3) (- (* 24 (/ 1 u)) 16)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 24 binary32) u) #s(literal -16 binary32))) |
(* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 3))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (/.f32 #s(literal 24 binary32) u) #s(literal -16 binary32)) (/.f32 #s(literal 8 binary32) (*.f32 u (*.f32 u u))))) |
(* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 3))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (/.f32 #s(literal 24 binary32) u) #s(literal -16 binary32)) (/.f32 #s(literal 8 binary32) (*.f32 u (*.f32 u u))))) |
(* -16 (pow u 3)) |
(*.f32 (*.f32 u (*.f32 u u)) #s(literal -16 binary32)) |
(* -1 (* (pow u 3) (- 16 (* 24 (/ 1 u))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 #s(literal 16 binary32) (/.f32 #s(literal -24 binary32) u)))) |
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 (pow u 2)))) u))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 #s(literal 24 binary32) (/.f32 #s(literal -8 binary32) (*.f32 u u))) u)))) |
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 (pow u 2)))) u))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 #s(literal 24 binary32) (/.f32 #s(literal -8 binary32) (*.f32 u u))) u)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 u)) |
(+.f32 #s(literal 1 binary32) (*.f32 u #s(literal -2 binary32))) |
(+ 1 (* u (- u 2))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal -2 binary32)))) |
(+ 1 (* u (- u 2))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal -2 binary32)))) |
(pow u 2) |
(*.f32 u u) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))) |
(pow u 2) |
(*.f32 u u) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u))) |
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u)))) |
(*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) u))) |
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u)))) |
(*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) u))) |
(pow v 3) |
(*.f32 v (*.f32 v v)) |
(pow v 3) |
(*.f32 v (*.f32 v v)) |
(pow v 3) |
(*.f32 v (*.f32 v v)) |
(pow v 3) |
(*.f32 v (*.f32 v v)) |
(pow v 3) |
(*.f32 v (*.f32 v v)) |
(pow v 3) |
(*.f32 v (*.f32 v v)) |
(pow v 3) |
(*.f32 v (*.f32 v v)) |
(pow v 3) |
(*.f32 v (*.f32 v v)) |
(pow v 3) |
(*.f32 v (*.f32 v v)) |
(pow v 3) |
(*.f32 v (*.f32 v v)) |
(pow v 3) |
(*.f32 v (*.f32 v v)) |
(pow v 3) |
(*.f32 v (*.f32 v v)) |
Compiled 30328 to 2835 computations (90.7% saved)
39 alts after pruning (34 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 720 | 20 | 740 |
| Fresh | 9 | 14 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 732 | 39 | 771 |
| Status | Accuracy | Program |
|---|---|---|
| 97.5% | (fma.f32 (log.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) v #s(literal 1 binary32)) | |
| 10.5% | (/.f32 (+.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (+.f32 (+.f32 (*.f32 #s(literal -4/3 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -24 binary32))))) (*.f32 v (+.f32 (*.f32 v (+.f32 #s(literal -1 binary32) (*.f32 u #s(literal 2 binary32)))) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u)))) (-.f32 #s(literal 1 binary32) u))))))) (*.f32 v (*.f32 v v))) | |
| 6.6% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)) (-.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)))))) | |
| 99.5% | (/.f32 #s(literal 1 binary32) (/.f32 #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))))))))) | |
| 10.8% | (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 u #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 (+.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -24 binary32)))) v) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 4 binary32) (*.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u)))))) v)) | |
| 4.9% | (+.f32 (/.f32 (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32))) (*.f32 v (*.f32 v v))) #s(literal 1 binary32)) | |
| ▶ | 7.5% | (+.f32 (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))) (*.f32 u (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 8/3 binary32) u) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) #s(literal -1 binary32)) |
| 13.2% | (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32))) v))) #s(literal -1 binary32)) | |
| 13.1% | (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) | |
| 7.5% | (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))))))) #s(literal -1 binary32)) | |
| 10.3% | (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))))))) #s(literal -1 binary32)) | |
| ▶ | 6.6% | (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)) |
| 6.7% | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) | |
| ▶ | 10.1% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (/.f32 #s(literal 1/24 binary32) v))) v)) v))) |
| 10.5% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u #s(literal -4 binary32)))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) | |
| 10.1% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u (+.f32 #s(literal 16 binary32) (*.f32 u (+.f32 #s(literal -112 binary32) (*.f32 u (+.f32 #s(literal 192 binary32) (*.f32 u #s(literal -96 binary32))))))))) v)) v)) v))) | |
| 10.0% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) | |
| 10.1% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 24 binary32) u) #s(literal -16 binary32))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) | |
| 10.1% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal -16 binary32)) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) | |
| 10.6% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 u (+.f32 (*.f32 u (+.f32 #s(literal 24 binary32) (*.f32 u #s(literal -16 binary32)))) #s(literal -8 binary32))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) | |
| 10.5% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 u (+.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) | |
| 13.1% | (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32))) | |
| 6.6% | (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))) | |
| 10.3% | (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))))) | |
| 1.3% | (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) u) (/.f32 #s(literal 8 binary32) (*.f32 u (*.f32 v (*.f32 v v))))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 14/3 binary32) (*.f32 v (*.f32 v v))))) (*.f32 u u))) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))))) | |
| ▶ | 12.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u #s(literal 2 binary32)) v)) v))) |
| 12.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)))) v))) | |
| ▶ | 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))))))) |
| ✓ | 99.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) |
| 97.8% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) (neg.f32 v)) #s(literal -1 binary32)) v)) #s(literal -2 binary32))))))) | |
| ✓ | 99.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))))) |
| ✓ | 99.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 96.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) | |
| 8.9% | (+.f32 #s(literal -1 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u))) | |
| 3.5% | (+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 v u) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))))))))) | |
| 13.1% | (*.f32 (*.f32 u u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) | |
| 11.6% | (*.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32))) v)) | |
| ✓ | 88.8% | #s(literal 1 binary32) |
| ✓ | 4.8% | #s(literal -1 binary32) |
Compiled 2598 to 1502 computations (42.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 64 | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) |
| ✓ | cost-diff | 64 | (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (/.f32 #s(literal 1/24 binary32) v))) v)) v)) |
| ✓ | cost-diff | 128 | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) |
| ✓ | cost-diff | 256 | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))) |
| ✓ | cost-diff | 0 | (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))) (*.f32 u (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 8/3 binary32) u) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))))) |
| ✓ | cost-diff | 0 | (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))) (*.f32 u (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 8/3 binary32) u) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) |
| ✓ | cost-diff | 0 | (+.f32 (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))) (*.f32 u (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 8/3 binary32) u) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u #s(literal 2 binary32)) v)) v) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u #s(literal 2 binary32)) v)) v))) |
| ✓ | cost-diff | 64 | (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u #s(literal 2 binary32)) v)) |
| ✓ | cost-diff | 64 | (*.f32 v (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u #s(literal 2 binary32)) v)) v)) |
| ✓ | cost-diff | 0 | (*.f32 u #s(literal 2 binary32)) |
| ✓ | cost-diff | 0 | (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (neg.f32 (log.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))))) |
| ✓ | cost-diff | 0 | (*.f32 v (neg.f32 (log.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)))))) |
| ✓ | cost-diff | 32 | (+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))))))) |
| ✓ | cost-diff | 3040 | (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) |
| 2708× | *-lowering-*.f32 |
| 2708× | *-lowering-*.f64 |
| 2228× | +-lowering-+.f64 |
| 2228× | +-lowering-+.f32 |
| 1854× | fnmadd-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 1093 |
| 1 | 239 | 1037 |
| 2 | 789 | 1000 |
| 3 | 3889 | 977 |
| 4 | 6782 | 943 |
| 0 | 8331 | 943 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* v (neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))))))) |
1 |
(* v (neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u)))))) |
v |
(neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))))) |
(log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u)))) |
(/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))) |
(- (* (- 1 u) (exp (/ -2 v))) u) |
(* (- 1 u) (exp (/ -2 v))) |
(- 1 u) |
u |
(exp (/ -2 v)) |
(/ -2 v) |
-2 |
(- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u)) |
(pow (* (- 1 u) (exp (/ -2 v))) 2) |
2 |
(* u u) |
(+ (* u 2) -1) |
(* u 2) |
u |
2 |
-1 |
(+ 1 (* v (/ (+ (* -2 (- 1 u)) (/ (* u 2) v)) v))) |
1 |
(* v (/ (+ (* -2 (- 1 u)) (/ (* u 2) v)) v)) |
v |
(/ (+ (* -2 (- 1 u)) (/ (* u 2) v)) v) |
(+ (* -2 (- 1 u)) (/ (* u 2) v)) |
(* -2 (- 1 u)) |
-2 |
(- 1 u) |
u |
(/ (* u 2) v) |
(* u 2) |
2 |
(+ (* u (+ (+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) (* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v)))))) -1) |
(* u (+ (+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) (* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v)))))) |
u |
(+ (+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) (* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v))))) |
(+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) |
2 |
(+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v))))) |
(/ 2 v) |
v |
(+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))) |
(/ 4/3 (* v v)) |
4/3 |
(* v v) |
(/ 2/3 (* v (* v v))) |
2/3 |
(* v (* v v)) |
(* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v)))) |
(- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v))) |
(+ (/ (* 8/3 u) (* v v)) (/ -2 v)) |
(/ (* 8/3 u) (* v v)) |
(* 8/3 u) |
8/3 |
(/ -2 v) |
-2 |
(/ 4 (* v v)) |
4 |
-1 |
(+ 1 (- (* (- 1 u) -2) (/ (- (* (- 1 u) (* (+ (* (- 1 u) -4) 4) -1/2)) (/ (+ (* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) (* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v))) v)) v))) |
1 |
(- (* (- 1 u) -2) (/ (- (* (- 1 u) (* (+ (* (- 1 u) -4) 4) -1/2)) (/ (+ (* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) (* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v))) v)) v)) |
(* (- 1 u) -2) |
(- 1 u) |
u |
-2 |
(/ (- (* (- 1 u) (* (+ (* (- 1 u) -4) 4) -1/2)) (/ (+ (* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) (* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v))) v)) v) |
(- (* (- 1 u) (* (+ (* (- 1 u) -4) 4) -1/2)) (/ (+ (* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) (* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v))) v)) |
(* (- 1 u) (* (+ (* (- 1 u) -4) 4) -1/2)) |
(* (+ (* (- 1 u) -4) 4) -1/2) |
(+ (* (- 1 u) -4) 4) |
(* (- 1 u) -4) |
-4 |
4 |
-1/2 |
(/ (+ (* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) (* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v))) v) |
(+ (* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) (* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v))) |
(* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) |
(* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) |
(+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24))) |
8 |
(* (- 1 u) (+ (* (- 1 u) 16) -24)) |
(+ (* (- 1 u) 16) -24) |
(* (- 1 u) 16) |
16 |
-24 |
-1/6 |
(* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v)) |
(+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) |
(* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) |
(+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192)))) |
(* (- 1 u) (+ -112 (* (- 1 u) 192))) |
(+ -112 (* (- 1 u) 192)) |
-112 |
(* (- 1 u) 192) |
192 |
(* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u)))) |
-96 |
(* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))) |
(* (- 1 u) (- 1 u)) |
(/ 1/24 v) |
1/24 |
v |
| Outputs |
|---|
(+ 1 (* v (neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))))))) |
(-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u u)))))) |
1 |
#s(literal 1 binary32) |
(* v (neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u)))))) |
(*.f32 (log.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u u)))) (neg.f32 v)) |
v |
(neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u u))))) |
(log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u)))) |
(log.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u u)))) |
(/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))) |
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u u))) |
(- (* (- 1 u) (exp (/ -2 v))) u) |
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) |
(* (- 1 u) (exp (/ -2 v))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
u |
(exp (/ -2 v)) |
(exp.f32 (/.f32 #s(literal -2 binary32) v)) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
-2 |
#s(literal -2 binary32) |
(- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u)) |
(-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u u)) |
(pow (* (- 1 u) (exp (/ -2 v))) 2) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))) |
2 |
#s(literal 2 binary32) |
(* u u) |
(*.f32 u u) |
(+ (* u 2) -1) |
(+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)) |
(* u 2) |
(*.f32 u #s(literal 2 binary32)) |
u |
2 |
#s(literal 2 binary32) |
-1 |
#s(literal -1 binary32) |
(+ 1 (* v (/ (+ (* -2 (- 1 u)) (/ (* u 2) v)) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)))))) |
1 |
#s(literal 1 binary32) |
(* v (/ (+ (* -2 (- 1 u)) (/ (* u 2) v)) v)) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))) |
v |
(/ (+ (* -2 (- 1 u)) (/ (* u 2) v)) v) |
(/.f32 (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)))) v) |
(+ (* -2 (- 1 u)) (/ (* u 2) v)) |
(+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)))) |
(* -2 (- 1 u)) |
(+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) |
-2 |
#s(literal -2 binary32) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
u |
(/ (* u 2) v) |
(/.f32 (*.f32 u #s(literal 2 binary32)) v) |
(* u 2) |
(*.f32 u #s(literal 2 binary32)) |
2 |
#s(literal 2 binary32) |
(+ (* u (+ (+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) (* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v)))))) -1) |
(+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal 2/3 binary32) v) (*.f32 v v)))) (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))))))))) |
(* u (+ (+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) (* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v)))))) |
(*.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal 2/3 binary32) v) (*.f32 v v)))) (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v) (/.f32 #s(literal -4 binary32) (*.f32 v v)))))))) |
u |
(+ (+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) (* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v))))) |
(+.f32 #s(literal 2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal 2/3 binary32) v) (*.f32 v v)))) (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))))))) |
(+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) |
(+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal 2/3 binary32) v) (*.f32 v v))))) |
2 |
#s(literal 2 binary32) |
(+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v))))) |
(+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal 2/3 binary32) v) (*.f32 v v)))) |
(/ 2 v) |
(/.f32 #s(literal 2 binary32) v) |
v |
(+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))) |
(+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 (/.f32 #s(literal 2/3 binary32) v) (*.f32 v v))) |
(/ 4/3 (* v v)) |
(/.f32 #s(literal 4/3 binary32) (*.f32 v v)) |
4/3 |
#s(literal 4/3 binary32) |
(* v v) |
(*.f32 v v) |
(/ 2/3 (* v (* v v))) |
(/.f32 (/.f32 #s(literal 2/3 binary32) v) (*.f32 v v)) |
2/3 |
#s(literal 2/3 binary32) |
(* v (* v v)) |
(*.f32 v (*.f32 v v)) |
(* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v)))) |
(*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v) (/.f32 #s(literal -4 binary32) (*.f32 v v))))) |
(- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v))) |
(+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v) (/.f32 #s(literal -4 binary32) (*.f32 v v)))) |
(+ (/ (* 8/3 u) (* v v)) (/ -2 v)) |
(+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v)) |
(/ (* 8/3 u) (* v v)) |
(/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v) |
(* 8/3 u) |
(*.f32 u #s(literal 8/3 binary32)) |
8/3 |
#s(literal 8/3 binary32) |
(/ -2 v) |
(/.f32 #s(literal -2 binary32) v) |
-2 |
#s(literal -2 binary32) |
(/ 4 (* v v)) |
(/.f32 (/.f32 #s(literal 4 binary32) v) v) |
4 |
#s(literal 4 binary32) |
-1 |
#s(literal -1 binary32) |
(+ 1 (- (* (- 1 u) -2) (/ (- (* (- 1 u) (* (+ (* (- 1 u) -4) 4) -1/2)) (/ (+ (* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) (* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v))) v)) v))) |
(+.f32 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -96 binary32))))))) (/.f32 #s(literal 1/24 binary32) v))) (*.f32 v v)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 u #s(literal 4 binary32)) #s(literal -1/2 binary32)) v))))) |
1 |
#s(literal 1 binary32) |
(- (* (- 1 u) -2) (/ (- (* (- 1 u) (* (+ (* (- 1 u) -4) 4) -1/2)) (/ (+ (* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) (* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v))) v)) v)) |
(+.f32 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -96 binary32))))))) (/.f32 #s(literal 1/24 binary32) v))) (*.f32 v v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 u #s(literal 4 binary32)) #s(literal -1/2 binary32)) v)))) |
(* (- 1 u) -2) |
(+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
u |
-2 |
#s(literal -2 binary32) |
(/ (- (* (- 1 u) (* (+ (* (- 1 u) -4) 4) -1/2)) (/ (+ (* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) (* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v))) v)) v) |
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 u #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32))))) #s(literal 1/6 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -96 binary32))))))) (/.f32 #s(literal 1/24 binary32) v))) v)) v) |
(- (* (- 1 u) (* (+ (* (- 1 u) -4) 4) -1/2)) (/ (+ (* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) (* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v))) v)) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 u #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32))))) #s(literal 1/6 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -96 binary32))))))) (/.f32 #s(literal 1/24 binary32) v))) v)) |
(* (- 1 u) (* (+ (* (- 1 u) -4) 4) -1/2)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 u #s(literal 4 binary32)) #s(literal -1/2 binary32))) |
(* (+ (* (- 1 u) -4) 4) -1/2) |
(*.f32 (*.f32 u #s(literal 4 binary32)) #s(literal -1/2 binary32)) |
(+ (* (- 1 u) -4) 4) |
(*.f32 u #s(literal 4 binary32)) |
(* (- 1 u) -4) |
(+.f32 #s(literal -4 binary32) (*.f32 u #s(literal 4 binary32))) |
-4 |
#s(literal -4 binary32) |
4 |
#s(literal 4 binary32) |
-1/2 |
#s(literal -1/2 binary32) |
(/ (+ (* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) (* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v))) v) |
(/.f32 (+.f32 (*.f32 (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -96 binary32))))))) (/.f32 #s(literal 1/24 binary32) v))) v) |
(+ (* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) (* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v))) |
(+.f32 (*.f32 (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -96 binary32))))))) (/.f32 #s(literal 1/24 binary32) v))) |
(* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) |
(*.f32 (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) |
(* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32))))) |
(+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24))) |
(+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)))) |
8 |
#s(literal 8 binary32) |
(* (- 1 u) (+ (* (- 1 u) 16) -24)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32))) |
(+ (* (- 1 u) 16) -24) |
(+.f32 (*.f32 u #s(literal -16 binary32)) #s(literal -8 binary32)) |
(* (- 1 u) 16) |
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) |
16 |
#s(literal 16 binary32) |
-24 |
#s(literal -24 binary32) |
-1/6 |
#s(literal -1/6 binary32) |
(* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v)) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -96 binary32))))))) (/.f32 #s(literal 1/24 binary32) v)) |
(+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -96 binary32))))))) |
(* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32))))) |
(+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192)))) |
(+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32)))) |
(* (- 1 u) (+ -112 (* (- 1 u) 192))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32))) |
(+ -112 (* (- 1 u) 192)) |
(+.f32 (*.f32 u #s(literal -192 binary32)) #s(literal 80 binary32)) |
-112 |
#s(literal -112 binary32) |
(* (- 1 u) 192) |
(+.f32 #s(literal 192 binary32) (*.f32 u #s(literal -192 binary32))) |
192 |
#s(literal 192 binary32) |
(* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u)))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -96 binary32)))) |
-96 |
#s(literal -96 binary32) |
(* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) |
(* (- 1 u) (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
(/ 1/24 v) |
(/.f32 #s(literal 1/24 binary32) v) |
1/24 |
#s(literal 1/24 binary32) |
v |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) |
| ✓ | accuracy | 82.2% | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) |
| ✓ | accuracy | 79.6% | (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) |
| ✓ | accuracy | 72.8% | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) |
| ✓ | accuracy | 97.0% | (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))) (*.f32 u (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 8/3 binary32) u) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) |
| ✓ | accuracy | 96.7% | (*.f32 u (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 8/3 binary32) u) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v)))) |
| ✓ | accuracy | 68.4% | (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))) (*.f32 u (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 8/3 binary32) u) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))))) |
| ✓ | accuracy | 54.2% | (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 8/3 binary32) u) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) |
| ✓ | accuracy | 99.8% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u #s(literal 2 binary32)) v)) v))) |
| ✓ | accuracy | 99.7% | (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u #s(literal 2 binary32)) v)) v) |
| ✓ | accuracy | 99.7% | (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u #s(literal 2 binary32)) v)) |
| ✓ | accuracy | 59.9% | (*.f32 v (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u #s(literal 2 binary32)) v)) v)) |
| ✓ | accuracy | 100.0% | (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)) |
| ✓ | accuracy | 100.0% | (*.f32 u #s(literal 2 binary32)) |
| ✓ | accuracy | 99.8% | (exp.f32 (/.f32 #s(literal -2 binary32) v)) |
| ✓ | accuracy | 99.4% | (log.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)))) |
| ✓ | accuracy | 99.2% | (*.f32 v (neg.f32 (log.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)))))) |
| ✓ | accuracy | 99.2% | (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) |
| 345.0ms | 256× | 0 | valid |
Compiled 1296 to 87 computations (93.3% saved)
ival-mult: 48.0ms (35.6% of total)ival-add: 24.0ms (17.8% of total)ival-div: 23.0ms (17% of total)...c/correct-round.rkt:119:19: 18.0ms (13.3% of total)ival-sub: 8.0ms (5.9% of total)ival-log: 4.0ms (3% of total)ival-neg: 3.0ms (2.2% of total)ival-pow: 3.0ms (2.2% of total)ival-exp: 2.0ms (1.5% of total)const: 2.0ms (1.5% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow (* (- 1 u) (exp (/ -2 v))) 2)> |
#<alt (+ 1 (* v (neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u)))))))> |
#<alt (* v (neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))))))> |
#<alt (neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u)))))> |
#<alt (+ (* u 2) -1)> |
#<alt (* u 2)> |
#<alt (* v (/ (+ (* -2 (- 1 u)) (/ (* u 2) v)) v))> |
#<alt (+ (* -2 (- 1 u)) (/ (* u 2) v))> |
#<alt (+ 1 (* v (/ (+ (* -2 (- 1 u)) (/ (* u 2) v)) v)))> |
#<alt (/ (+ (* -2 (- 1 u)) (/ (* u 2) v)) v)> |
#<alt (+ (* u (+ (+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) (* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v)))))) -1)> |
#<alt (* u (+ (+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) (* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v))))))> |
#<alt (+ (+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) (* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v)))))> |
#<alt (+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v))))))> |
#<alt (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u)))))> |
#<alt (+ (* (- 1 u) -4) 4)> |
#<alt (- (* (- 1 u) -2) (/ (- (* (- 1 u) (* (+ (* (- 1 u) -4) 4) -1/2)) (/ (+ (* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) (* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v))) v)) v))> |
#<alt (+ (* (- 1 u) 16) -24)> |
#<alt (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u)))> |
#<alt (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))))> |
#<alt (exp (/ -2 v))> |
#<alt (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v)))> |
#<alt (* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v))))> |
#<alt (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))> |
#<alt (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u)))> |
| Outputs |
|---|
#<alt (pow (exp (/ -2 v)) 2)> |
#<alt (+ (* -2 (* u (pow (exp (/ -2 v)) 2))) (pow (exp (/ -2 v)) 2))> |
#<alt (+ (* u (+ (* -2 (pow (exp (/ -2 v)) 2)) (* u (pow (exp (/ -2 v)) 2)))) (pow (exp (/ -2 v)) 2))> |
#<alt (+ (* u (+ (* -2 (pow (exp (/ -2 v)) 2)) (* u (pow (exp (/ -2 v)) 2)))) (pow (exp (/ -2 v)) 2))> |
#<alt (* (pow u 2) (pow (exp (/ -2 v)) 2))> |
#<alt (* (pow u 2) (+ (* -2 (/ (pow (exp (/ -2 v)) 2) u)) (pow (exp (/ -2 v)) 2)))> |
#<alt (* (pow u 2) (+ (* -2 (/ (pow (exp (/ -2 v)) 2) u)) (+ (/ (pow (exp (/ -2 v)) 2) (pow u 2)) (pow (exp (/ -2 v)) 2))))> |
#<alt (* (pow u 2) (+ (* -2 (/ (pow (exp (/ -2 v)) 2) u)) (+ (/ (pow (exp (/ -2 v)) 2) (pow u 2)) (pow (exp (/ -2 v)) 2))))> |
#<alt (* (pow u 2) (pow (exp (/ -2 v)) 2))> |
#<alt (* (pow u 2) (+ (* -2 (/ (pow (exp (/ -2 v)) 2) u)) (pow (exp (/ -2 v)) 2)))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow (exp (/ -2 v)) 2) u)) (* 2 (pow (exp (/ -2 v)) 2))) u)) (pow (exp (/ -2 v)) 2)))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow (exp (/ -2 v)) 2) u)) (* 2 (pow (exp (/ -2 v)) 2))) u)) (pow (exp (/ -2 v)) 2)))> |
#<alt (* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2))> |
#<alt (* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2))> |
#<alt (* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2))> |
#<alt (* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2))> |
#<alt (pow (- 1 u) 2)> |
#<alt (+ (* -4 (/ (pow (- 1 u) 2) v)) (pow (- 1 u) 2))> |
#<alt (+ (* -4 (/ (pow (- 1 u) 2) v)) (+ (* 8 (/ (pow (- 1 u) 2) (pow v 2))) (pow (- 1 u) 2)))> |
#<alt (+ (* -32/3 (/ (pow (- 1 u) 2) (pow v 3))) (+ (* -4 (/ (pow (- 1 u) 2) v)) (+ (* 8 (/ (pow (- 1 u) 2) (pow v 2))) (pow (- 1 u) 2))))> |
#<alt (pow (- 1 u) 2)> |
#<alt (+ (* -4 (/ (pow (- 1 u) 2) v)) (pow (- 1 u) 2))> |
#<alt (+ (* -1 (/ (+ (* -8 (/ (pow (- 1 u) 2) v)) (* 4 (pow (- 1 u) 2))) v)) (pow (- 1 u) 2))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -32/3 (/ (pow (- 1 u) 2) v)) (* 8 (pow (- 1 u) 2))) v)) (* 4 (pow (- 1 u) 2))) v)) (pow (- 1 u) 2))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* v (log (/ (- (* (exp (/ -2 v)) (- 1 u)) u) (- (* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2)) (pow u 2)))))))> |
#<alt (+ 1 (* -1 (* v (log (/ (- (* (exp (/ -2 v)) (- 1 u)) u) (- (* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2)) (pow u 2)))))))> |
#<alt (+ 1 (* -1 (* v (log (/ (- (* (exp (/ -2 v)) (- 1 u)) u) (- (* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2)) (pow u 2)))))))> |
#<alt (* -1 (* v (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2))))))> |
#<alt (* v (+ (* -1 (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2))))) (+ (* -1 (/ (* (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (- (pow (- 1 u) 2) (pow u 2))) (* v (- 1 (* 2 u))))) (/ 1 v))))> |
#<alt (* v (+ (* -1 (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2))))) (+ (* -1 (/ (* (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (- (pow (- 1 u) 2) (pow u 2))) (* v (- 1 (* 2 u))))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) 2) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)) (pow (- 1 (* 2 u)) 2))) (* 2 (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* -4 (/ (* (pow (- 1 u) 2) (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u))))) (pow v 2))) (/ 1 v)))))> |
#<alt (* v (+ (* -1 (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2))))) (+ (* -1 (/ (* (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (- (pow (- 1 u) 2) (pow u 2))) (* v (- 1 (* 2 u))))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) 2) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)) (pow (- 1 (* 2 u)) 2))) (* 2 (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* -4 (/ (* (pow (- 1 u) 2) (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u))))) (pow v 2))) (+ (* -1/6 (/ (+ (* -6 (/ (* (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* -4 (/ (* (pow (- 1 u) 2) (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))) (pow (- 1 (* 2 u)) 2))) (+ (* 2 (/ (* (pow (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) 3) (pow (- (pow (- 1 u) 2) (pow u 2)) 3)) (pow (- 1 (* 2 u)) 3))) (* 6 (/ (* (- (* -4/3 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* -32/3 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))) (+ (* -4 (/ (* (pow (- 1 u) 2) (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* -4 (/ (* (pow (- 1 u) 2) (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2))))))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u)))))) (pow v 3))) (/ 1 v))))))> |
#<alt (* -1 (* v (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2))))))> |
#<alt (* -1 (* v (+ (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2)))) (* -1 (/ (+ 1 (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u)))) v)))))> |
#<alt (* -1 (* v (+ (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2)))) (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (/ (* (pow (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) 2) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)) (pow (- 1 (* 2 u)) 2))) (* 2 (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* 4 (/ (* (pow (- 1 u) 2) (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u))))) v)) (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u))))) v)))))> |
#<alt (* -1 (* v (+ (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2)))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* 4 (/ (* (pow (- 1 u) 2) (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))) (pow (- 1 (* 2 u)) 2))) (+ (* 2 (/ (* (pow (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) 3) (pow (- (pow (- 1 u) 2) (pow u 2)) 3)) (pow (- 1 (* 2 u)) 3))) (* 6 (/ (* (- (* 4/3 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* 4 (/ (* (pow (- 1 u) 2) (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* 4 (/ (* (pow (- 1 u) 2) (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))))) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* 8 (/ (* (pow (- 1 u) 2) (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 32/3 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u)))))) v)) (* 1/2 (+ (* -1 (/ (* (pow (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) 2) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)) (pow (- 1 (* 2 u)) 2))) (* 2 (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* 4 (/ (* (pow (- 1 u) 2) (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u))))))) v)) (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u))))) v)))))> |
#<alt (+ 1 (* -1 (* v (log (/ 1 (exp (/ -2 v)))))))> |
#<alt (+ 1 (+ (* -1 (* u (* v (* (exp (/ -2 v)) (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2))))))) (* -1 (* v (log (/ 1 (exp (/ -2 v))))))))> |
#<alt (+ 1 (+ (* -1 (* v (log (/ 1 (exp (/ -2 v)))))) (* u (+ (* -1 (* v (* (exp (/ -2 v)) (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2)))))) (* -1/2 (* u (* v (+ (* -1 (* (pow (exp (/ -2 v)) 2) (pow (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2))) 2))) (* 2 (* (exp (/ -2 v)) (- (/ 1 (pow (exp (/ -2 v)) 3)) (+ (* -2 (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2)))) (/ 1 (exp (/ -2 v)))))))))))))))> |
#<alt (+ 1 (+ (* -1 (* v (log (/ 1 (exp (/ -2 v)))))) (* u (+ (* -1 (* v (* (exp (/ -2 v)) (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2)))))) (* u (+ (* -1/2 (* v (+ (* -1 (* (pow (exp (/ -2 v)) 2) (pow (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2))) 2))) (* 2 (* (exp (/ -2 v)) (- (/ 1 (pow (exp (/ -2 v)) 3)) (+ (* -2 (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2)))) (/ 1 (exp (/ -2 v)))))))))) (* -1/6 (* u (* v (+ (* -6 (* (exp (/ -2 v)) (+ (* -2 (- (/ 1 (pow (exp (/ -2 v)) 3)) (+ (* -2 (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2)))) (/ 1 (exp (/ -2 v)))))) (/ (* (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2))) (- (pow (exp (/ -2 v)) 2) 1)) (pow (exp (/ -2 v)) 2))))) (+ (* -6 (* (pow (exp (/ -2 v)) 2) (* (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2))) (- (/ 1 (pow (exp (/ -2 v)) 3)) (+ (* -2 (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2)))) (/ 1 (exp (/ -2 v)))))))) (* 2 (* (pow (exp (/ -2 v)) 3) (pow (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2))) 3))))))))))))))> |
#<alt (+ 1 (* -1 (* v (+ (log (/ 1 u)) (log (/ (- (* -1 (exp (/ -2 v))) 1) (- (pow (exp (/ -2 v)) 2) 1)))))))> |
#<alt (+ 1 (+ (* -1 (* v (+ (log (/ 1 u)) (log (/ (- (* -1 (exp (/ -2 v))) 1) (- (pow (exp (/ -2 v)) 2) 1)))))) (* -1 (/ (* v (* (- (/ (exp (/ -2 v)) (- (pow (exp (/ -2 v)) 2) 1)) (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2)))) (- (pow (exp (/ -2 v)) 2) 1))) (* u (- (* -1 (exp (/ -2 v))) 1))))))> |
#<alt (+ 1 (+ (* -1 (* v (+ (log (/ 1 u)) (log (/ (- (* -1 (exp (/ -2 v))) 1) (- (pow (exp (/ -2 v)) 2) 1)))))) (+ (* -1 (/ (* v (* (- (/ (exp (/ -2 v)) (- (pow (exp (/ -2 v)) 2) 1)) (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2)))) (- (pow (exp (/ -2 v)) 2) 1))) (* u (- (* -1 (exp (/ -2 v))) 1)))) (* -1/2 (/ (* v (+ (* -2 (/ (* (+ (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (/ (exp (/ -2 v)) (- (pow (exp (/ -2 v)) 2) 1)) (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2))))) (- (pow (exp (/ -2 v)) 2) 1))) (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2))) (- (pow (exp (/ -2 v)) 2) 1)) (- (* -1 (exp (/ -2 v))) 1))) (* -1 (/ (* (pow (- (/ (exp (/ -2 v)) (- (pow (exp (/ -2 v)) 2) 1)) (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2)))) 2) (pow (- (pow (exp (/ -2 v)) 2) 1) 2)) (pow (- (* -1 (exp (/ -2 v))) 1) 2))))) (pow u 2))))))> |
#<alt (+ 1 (+ (* -1 (* v (+ (log (/ 1 u)) (log (/ (- (* -1 (exp (/ -2 v))) 1) (- (pow (exp (/ -2 v)) 2) 1)))))) (+ (* -1 (/ (* v (* (- (/ (exp (/ -2 v)) (- (pow (exp (/ -2 v)) 2) 1)) (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2)))) (- (pow (exp (/ -2 v)) 2) 1))) (* u (- (* -1 (exp (/ -2 v))) 1)))) (+ (* -1/2 (/ (* v (+ (* -2 (/ (* (+ (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (/ (exp (/ -2 v)) (- (pow (exp (/ -2 v)) 2) 1)) (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2))))) (- (pow (exp (/ -2 v)) 2) 1))) (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2))) (- (pow (exp (/ -2 v)) 2) 1)) (- (* -1 (exp (/ -2 v))) 1))) (* -1 (/ (* (pow (- (/ (exp (/ -2 v)) (- (pow (exp (/ -2 v)) 2) 1)) (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2)))) 2) (pow (- (pow (exp (/ -2 v)) 2) 1) 2)) (pow (- (* -1 (exp (/ -2 v))) 1) 2))))) (pow u 2))) (* -1/6 (/ (* v (+ (* -6 (/ (* (+ (* 2 (/ (* (pow (exp (/ -2 v)) 2) (+ (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (/ (exp (/ -2 v)) (- (pow (exp (/ -2 v)) 2) 1)) (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2))))) (- (pow (exp (/ -2 v)) 2) 1))) (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2)))) (- (pow (exp (/ -2 v)) 2) 1))) (/ (* (pow (exp (/ -2 v)) 2) (- (/ (exp (/ -2 v)) (- (pow (exp (/ -2 v)) 2) 1)) (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2))))) (- (pow (exp (/ -2 v)) 2) 1))) (- (pow (exp (/ -2 v)) 2) 1)) (- (* -1 (exp (/ -2 v))) 1))) (+ (* 2 (/ (* (pow (- (/ (exp (/ -2 v)) (- (pow (exp (/ -2 v)) 2) 1)) (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2)))) 3) (pow (- (pow (exp (/ -2 v)) 2) 1) 3)) (pow (- (* -1 (exp (/ -2 v))) 1) 3))) (* 6 (/ (* (+ (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (/ (exp (/ -2 v)) (- (pow (exp (/ -2 v)) 2) 1)) (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2))))) (- (pow (exp (/ -2 v)) 2) 1))) (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2))) (* (- (/ (exp (/ -2 v)) (- (pow (exp (/ -2 v)) 2) 1)) (* -2 (/ (* (pow (exp (/ -2 v)) 2) (- (* -1 (exp (/ -2 v))) 1)) (pow (- (pow (exp (/ -2 v)) 2) 1) 2)))) (pow (- (pow (exp (/ -2 v)) 2) 1) 2))) (pow (- (* -1 (exp (/ -2 v))) 1) 2)))))) (pow u 3)))))))> |
#<alt (+ 1 (* -1 (* v (+ (log (/ -1 u)) (log (/ (+ 1 (exp (/ -2 v))) (- (pow (exp (/ -2 v)) 2) 1)))))))> |
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#<alt (* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))> |
#<alt (* 8/3 (/ (pow u 2) (pow v 2)))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))> |
#<alt (/ (* u (- (* 8/3 u) 4)) (pow v 2))> |
#<alt (/ (+ (* -2 (* u v)) (* u (- (* 8/3 u) 4))) (pow v 2))> |
#<alt (/ (+ (* -2 (* u v)) (* u (- (* 8/3 u) 4))) (pow v 2))> |
#<alt (/ (+ (* -2 (* u v)) (* u (- (* 8/3 u) 4))) (pow v 2))> |
#<alt (* -2 (/ u v))> |
#<alt (/ (+ (* -2 u) (/ (* u (- (* 8/3 u) 4)) v)) v)> |
#<alt (/ (+ (* -2 u) (/ (* u (- (* 8/3 u) 4)) v)) v)> |
#<alt (/ (+ (* -2 u) (/ (* u (- (* 8/3 u) 4)) v)) v)> |
#<alt (* -2 (/ u v))> |
#<alt (* -1 (/ (+ (* -1 (/ (* u (- (* 8/3 u) 4)) v)) (* 2 u)) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (* u (- (* 8/3 u) 4)) v)) (* 2 u)) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (* u (- (* 8/3 u) 4)) v)) (* 2 u)) v))> |
#<alt (* -8 u)> |
#<alt (* u (- (* 16 u) 8))> |
#<alt (* u (- (* 16 u) 8))> |
#<alt (* u (- (* 16 u) 8))> |
#<alt (* 16 (pow u 2))> |
#<alt (* (pow u 2) (- 16 (* 8 (/ 1 u))))> |
#<alt (* (pow u 2) (- 16 (* 8 (/ 1 u))))> |
#<alt (* (pow u 2) (- 16 (* 8 (/ 1 u))))> |
#<alt (* 16 (pow u 2))> |
#<alt (* (pow u 2) (- 16 (* 8 (/ 1 u))))> |
#<alt (* (pow u 2) (- 16 (* 8 (/ 1 u))))> |
#<alt (* (pow u 2) (- 16 (* 8 (/ 1 u))))> |
#<alt 1> |
#<alt (+ 1 (* -4 u))> |
#<alt (+ 1 (* u (- (* 6 u) 4)))> |
#<alt (+ 1 (* u (- (* u (+ 6 (* -4 u))) 4)))> |
#<alt (pow u 4)> |
#<alt (* (pow u 4) (- 1 (* 4 (/ 1 u))))> |
#<alt (* (pow u 4) (- (+ 1 (/ 6 (pow u 2))) (* 4 (/ 1 u))))> |
#<alt (* (pow u 4) (- (+ 1 (/ 6 (pow u 2))) (+ (* 4 (/ 1 u)) (* 4 (/ 1 (pow u 3))))))> |
#<alt (pow u 4)> |
#<alt (* (pow u 4) (- 1 (* 4 (/ 1 u))))> |
#<alt (* (pow u 4) (+ 1 (* -1 (/ (- 4 (* 6 (/ 1 u))) u))))> |
#<alt (* (pow u 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 4 (/ 1 u))) u))) u))))> |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | v | @ | 0 | (* v (neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u)))))) |
| 7.0ms | u | @ | 0 | (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))) |
| 7.0ms | v | @ | -inf | (+ 1 (* v (neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))))))) |
| 6.0ms | v | @ | 0 | (+ 1 (* v (neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))))))) |
| 4.0ms | v | @ | inf | (+ 1 (* v (neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))))))) |
| 1× | batch-egg-rewrite |
| 4648× | *-lowering-*.f32 |
| 4648× | *-lowering-*.f64 |
| 3320× | /-lowering-/.f32 |
| 3320× | /-lowering-/.f64 |
| 1890× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 473 |
| 1 | 612 | 375 |
| 2 | 7344 | 375 |
| 0 | 8200 | 375 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow (* (- 1 u) (exp (/ -2 v))) 2) |
(+ 1 (* v (neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))))))) |
(* v (neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u)))))) |
(neg (log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))))) |
(+ (* u 2) -1) |
(* u 2) |
(* v (/ (+ (* -2 (- 1 u)) (/ (* u 2) v)) v)) |
(+ (* -2 (- 1 u)) (/ (* u 2) v)) |
(+ 1 (* v (/ (+ (* -2 (- 1 u)) (/ (* u 2) v)) v))) |
(/ (+ (* -2 (- 1 u)) (/ (* u 2) v)) v) |
(+ (* u (+ (+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) (* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v)))))) -1) |
(* u (+ (+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) (* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v)))))) |
(+ (+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) (* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v))))) |
(+ 2 (+ (/ 2 v) (+ (/ 4/3 (* v v)) (/ 2/3 (* v (* v v)))))) |
(+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) |
(+ (* (- 1 u) -4) 4) |
(- (* (- 1 u) -2) (/ (- (* (- 1 u) (* (+ (* (- 1 u) -4) 4) -1/2)) (/ (+ (* (* (- 1 u) (+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24)))) -1/6) (* (+ (* (- 1 u) (+ 16 (* (- 1 u) (+ -112 (* (- 1 u) 192))))) (* -96 (* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))))) (/ 1/24 v))) v)) v)) |
(+ (* (- 1 u) 16) -24) |
(/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u))) |
(log (/ (- (* (- 1 u) (exp (/ -2 v))) u) (- (pow (* (- 1 u) (exp (/ -2 v))) 2) (* u u)))) |
(exp (/ -2 v)) |
(- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v))) |
(* u (- (+ (/ (* 8/3 u) (* v v)) (/ -2 v)) (/ 4 (* v v)))) |
(+ 8 (* (- 1 u) (+ (* (- 1 u) 16) -24))) |
(* (* (- 1 u) (- 1 u)) (* (- 1 u) (- 1 u))) |
| Outputs |
|---|
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (*.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)) |
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal 1 binary32)) |
(pow.f32 (exp.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 2 binary32)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) |
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) |
(*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (exp.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (exp.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) |
(*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 #s(literal 1 binary32) u)) |
(+.f32 #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 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) |
(fma.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)) |
(fma.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) |
(-.f32 (/.f32 #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 (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.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) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (-.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (-.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.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) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.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) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (-.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))) |
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (-.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32))) (/.f32 #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))))))))) |
(neg.f32 (*.f32 v (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) |
(neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))))) |
(-.f32 #s(literal 0 binary32) (*.f32 v (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.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) (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)))))) |
(*.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) |
(*.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (*.f32 v (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) |
(*.f32 (neg.f32 v) (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(*.f32 (*.f32 #s(literal 1 binary32) v) (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(*.f32 (*.f32 v #s(literal -1 binary32)) (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(*.f32 (*.f32 #s(literal 1 binary32) (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) v) |
(neg.f32 (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(+.f32 #s(literal 0 binary32) (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
(+.f32 (-.f32 #s(literal 0 binary32) (log.f32 (-.f32 (*.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) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) (*.f32 u u)))) |
(-.f32 #s(literal 0 binary32) (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (*.f32 #s(literal 0 binary32) (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))))) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) (+.f32 #s(literal 0 binary32) (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) |
(*.f32 (neg.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) (neg.f32 (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))))) |
(+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)) |
(+.f32 #s(literal -1 binary32) (*.f32 u #s(literal 2 binary32))) |
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) |
(-.f32 (/.f32 (*.f32 (*.f32 u u) #s(literal 4 binary32)) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 u u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u #s(literal -2 binary32)))) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 8 binary32) (*.f32 u (*.f32 u u)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 u u) #s(literal 4 binary32)) #s(literal -1 binary32)))) |
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(/.f32 (*.f32 (*.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)))) (+.f32 (/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) v))) u) (+.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 (/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))))) |
(*.f32 u (+.f32 (/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) v))) |
(*.f32 (+.f32 (/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) v)) u) |
(+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) #s(literal 8 binary32)) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) |
(+.f32 (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) #s(literal 8 binary32)) |
(fma.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) |
(-.f32 (/.f32 #s(literal 64 binary32) (-.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) (-.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 64 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) #s(literal 8 binary32)))) (+.f32 #s(literal 512 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) (-.f32 #s(literal 64 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))))))) |
(/.f32 (+.f32 #s(literal 512 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))))) (+.f32 #s(literal 64 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) #s(literal 8 binary32))))) |
(/.f32 (+.f32 #s(literal 512 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) (-.f32 #s(literal 64 binary32) (*.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))))) |
(/.f32 (-.f32 #s(literal 64 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))))) (-.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) |
(/.f32 (neg.f32 (+.f32 #s(literal 512 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))))))) (neg.f32 (+.f32 #s(literal 64 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) #s(literal 8 binary32)))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 64 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))))) (neg.f32 (-.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))))) |
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal 64 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) #s(literal 8 binary32))) |
(*.f32 (+.f32 #s(literal 512 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 64 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))) #s(literal 8 binary32)))))) |
(*.f32 (-.f32 #s(literal 64 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) |
(+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 u))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (neg.f32 u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) |
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) |
(/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u)))) |
(/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (+.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) |
| 1× | egg-herbie |
| 4622× | *-lowering-*.f32 |
| 4622× | *-lowering-*.f64 |
| 3090× | +-lowering-+.f64 |
| 3090× | +-lowering-+.f32 |
| 1708× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1296 | 27042 |
| 1 | 4589 | 23864 |
| 0 | 8109 | 23864 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow (exp (/ -2 v)) 2) |
(+ (* -2 (* u (pow (exp (/ -2 v)) 2))) (pow (exp (/ -2 v)) 2)) |
(+ (* u (+ (* -2 (pow (exp (/ -2 v)) 2)) (* u (pow (exp (/ -2 v)) 2)))) (pow (exp (/ -2 v)) 2)) |
(+ (* u (+ (* -2 (pow (exp (/ -2 v)) 2)) (* u (pow (exp (/ -2 v)) 2)))) (pow (exp (/ -2 v)) 2)) |
(* (pow u 2) (pow (exp (/ -2 v)) 2)) |
(* (pow u 2) (+ (* -2 (/ (pow (exp (/ -2 v)) 2) u)) (pow (exp (/ -2 v)) 2))) |
(* (pow u 2) (+ (* -2 (/ (pow (exp (/ -2 v)) 2) u)) (+ (/ (pow (exp (/ -2 v)) 2) (pow u 2)) (pow (exp (/ -2 v)) 2)))) |
(* (pow u 2) (+ (* -2 (/ (pow (exp (/ -2 v)) 2) u)) (+ (/ (pow (exp (/ -2 v)) 2) (pow u 2)) (pow (exp (/ -2 v)) 2)))) |
(* (pow u 2) (pow (exp (/ -2 v)) 2)) |
(* (pow u 2) (+ (* -2 (/ (pow (exp (/ -2 v)) 2) u)) (pow (exp (/ -2 v)) 2))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow (exp (/ -2 v)) 2) u)) (* 2 (pow (exp (/ -2 v)) 2))) u)) (pow (exp (/ -2 v)) 2))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow (exp (/ -2 v)) 2) u)) (* 2 (pow (exp (/ -2 v)) 2))) u)) (pow (exp (/ -2 v)) 2))) |
(* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2)) |
(* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2)) |
(* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2)) |
(* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2)) |
(pow (- 1 u) 2) |
(+ (* -4 (/ (pow (- 1 u) 2) v)) (pow (- 1 u) 2)) |
(+ (* -4 (/ (pow (- 1 u) 2) v)) (+ (* 8 (/ (pow (- 1 u) 2) (pow v 2))) (pow (- 1 u) 2))) |
(+ (* -32/3 (/ (pow (- 1 u) 2) (pow v 3))) (+ (* -4 (/ (pow (- 1 u) 2) v)) (+ (* 8 (/ (pow (- 1 u) 2) (pow v 2))) (pow (- 1 u) 2)))) |
(pow (- 1 u) 2) |
(+ (* -4 (/ (pow (- 1 u) 2) v)) (pow (- 1 u) 2)) |
(+ (* -1 (/ (+ (* -8 (/ (pow (- 1 u) 2) v)) (* 4 (pow (- 1 u) 2))) v)) (pow (- 1 u) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -32/3 (/ (pow (- 1 u) 2) v)) (* 8 (pow (- 1 u) 2))) v)) (* 4 (pow (- 1 u) 2))) v)) (pow (- 1 u) 2)) |
1 |
(+ 1 (* -1 (* v (log (/ (- (* (exp (/ -2 v)) (- 1 u)) u) (- (* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2)) (pow u 2))))))) |
(+ 1 (* -1 (* v (log (/ (- (* (exp (/ -2 v)) (- 1 u)) u) (- (* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2)) (pow u 2))))))) |
(+ 1 (* -1 (* v (log (/ (- (* (exp (/ -2 v)) (- 1 u)) u) (- (* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2)) (pow u 2))))))) |
(* -1 (* v (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2)))))) |
(* v (+ (* -1 (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2))))) (+ (* -1 (/ (* (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (- (pow (- 1 u) 2) (pow u 2))) (* v (- 1 (* 2 u))))) (/ 1 v)))) |
(* v (+ (* -1 (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2))))) (+ (* -1 (/ (* (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (- (pow (- 1 u) 2) (pow u 2))) (* v (- 1 (* 2 u))))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) 2) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)) (pow (- 1 (* 2 u)) 2))) (* 2 (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* -4 (/ (* (pow (- 1 u) 2) (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u))))) (pow v 2))) (/ 1 v))))) |
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-1 |
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(* -1 (* u (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))))) |
(* -1 (* u (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))))) |
(/ -2 v) |
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(/ (* u (+ 2 (* 2 (/ 1 v)))) v) |
(* u (- (+ (* 2 (/ 1 v)) (/ 2 (pow v 2))) (* 2 (/ 1 (* u v))))) |
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(/ (* u (+ 2 (* 2 (/ 1 v)))) v) |
(* -1 (* u (+ (* -1 (/ (+ 2 (* 2 (/ 1 v))) v)) (* 2 (/ 1 (* u v)))))) |
(* -1 (* u (+ (* -1 (/ (+ 2 (* 2 (/ 1 v))) v)) (* 2 (/ 1 (* u v)))))) |
(* -1 (* u (+ (* -1 (/ (+ 2 (* 2 (/ 1 v))) v)) (* 2 (/ 1 (* u v)))))) |
(* 2 (/ u (pow v 2))) |
(/ (+ (* -2 (* v (- 1 u))) (* 2 u)) (pow v 2)) |
(/ (+ (* -2 (* v (- 1 u))) (* 2 u)) (pow v 2)) |
(/ (+ (* -2 (* v (- 1 u))) (* 2 u)) (pow v 2)) |
(* -2 (/ (- 1 u) v)) |
(/ (+ (* -2 (- 1 u)) (* 2 (/ u v))) v) |
(/ (+ (* -2 (- 1 u)) (* 2 (/ u v))) v) |
(/ (+ (* -2 (- 1 u)) (* 2 (/ u v))) v) |
(* -2 (/ (- 1 u) v)) |
(* -1 (/ (+ (* -2 (/ u v)) (* 2 (- 1 u))) v)) |
(* -1 (/ (+ (* -2 (/ u v)) (* 2 (- 1 u))) v)) |
(* -1 (/ (+ (* -2 (/ u v)) (* 2 (- 1 u))) v)) |
-1 |
(- (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 1) |
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))))) 1) |
(- (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2)))))))))) 1) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 2/3 (/ 1 (* (pow u 2) (pow v 3)))) (+ (* 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)))) (+ (* 2/3 (/ 1 (* (pow u 2) (pow v 3)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2)))))) (+ (/ 1 (pow u 3)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (+ (/ 2/3 (* u (pow v 3))) (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* -1 (/ (+ (* -1 (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) (/ 1 u)) u))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* 2/3 (/ u (pow v 3))) |
(/ (+ (* 2/3 u) (* u (* v (+ 4/3 (* u (- (* 8/3 u) 4)))))) (pow v 3)) |
(/ (+ (* 2/3 u) (* v (+ (* u (* v (+ 2 (* -2 u)))) (* u (+ 4/3 (* u (- (* 8/3 u) 4))))))) (pow v 3)) |
(/ (+ (* 2/3 u) (* v (+ (* u (+ 4/3 (* u (- (* 8/3 u) 4)))) (* v (+ (* u (+ 2 (* -2 u))) (* v (- (* 2 u) 1))))))) (pow v 3)) |
(- (* 2 u) 1) |
(- (+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v)) 1) |
(- (+ (* 2 u) (+ (/ (* u (+ 4/3 (* u (- (* 8/3 u) 4)))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v))) 1) |
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 2 u) (+ (/ (* u (+ 4/3 (* u (- (* 8/3 u) 4)))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v)))) 1) |
(- (* 2 u) 1) |
(- (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* u (- (* 8/3 u) 4)))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (/ u v)) (* u (+ 4/3 (* u (- (* 8/3 u) 4))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1) |
(* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) |
(* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))))) |
(* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2)))))))))) |
(* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2)))))))))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 2/3 (/ 1 (* (pow u 2) (pow v 3)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2)))))))) |
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 2/3 (/ 1 (* (pow u 2) (pow v 3)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2)))))))) |
(* 8/3 (/ (pow u 3) (pow v 2))) |
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (+ (/ 2/3 (* u (pow v 3))) (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* (pow u 3) (- (* -1 (/ (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (+ (/ 2/3 (* u (pow v 3))) (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))))) u)) (* 8/3 (/ 1 (pow v 2)))))) |
(* 2/3 (/ u (pow v 3))) |
(/ (+ (* 2/3 u) (* u (* v (+ 4/3 (* u (- (* 8/3 u) 4)))))) (pow v 3)) |
(/ (+ (* 2/3 u) (* v (+ (* u (* v (+ 2 (* -2 u)))) (* u (+ 4/3 (* u (- (* 8/3 u) 4))))))) (pow v 3)) |
(/ (+ (* 2/3 u) (* v (+ (* u (+ 4/3 (* u (- (* 8/3 u) 4)))) (* v (+ (* 2 (* u v)) (* u (+ 2 (* -2 u)))))))) (pow v 3)) |
(* 2 u) |
(+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v)) |
(+ (* 2 u) (+ (/ (* u (+ 4/3 (* u (- (* 8/3 u) 4)))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v))) |
(+ (* 2/3 (/ u (pow v 3))) (+ (* 2 u) (+ (/ (* u (+ 4/3 (* u (- (* 8/3 u) 4)))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v)))) |
(* 2 u) |
(+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* u (- (* 8/3 u) 4)))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (/ u v)) (* u (+ 4/3 (* u (- (* 8/3 u) 4))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) |
(/ 2/3 (pow v 3)) |
(/ (+ 2/3 (* v (+ 4/3 (* u (- (* 8/3 u) 4))))) (pow v 3)) |
(/ (+ 2/3 (* v (+ 4/3 (+ (* u (- (* 8/3 u) 4)) (* v (+ 2 (* -2 u))))))) (pow v 3)) |
(/ (+ 2/3 (* v (+ 4/3 (+ (* u (- (* 8/3 u) 4)) (* v (+ 2 (+ (* -2 u) (* 2 v)))))))) (pow v 3)) |
2 |
(+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v)))) |
(+ 2 (+ (* -2 (/ u v)) (+ (* 2 (/ 1 v)) (+ (/ 4/3 (pow v 2)) (/ (* u (- (* 8/3 u) 4)) (pow v 2)))))) |
(+ 2 (+ (* -2 (/ u v)) (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (+ (/ 4/3 (pow v 2)) (/ (* u (- (* 8/3 u) 4)) (pow v 2))))))) |
2 |
(+ 2 (* -1 (/ (- (* 2 u) 2) v))) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* u (- (* 8/3 u) 4))) v)) (* 2 u)) 2) v))) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (+ (* u (- (* 8/3 u) 4)) (* 2/3 (/ 1 v)))) v)) (* 2 u)) 2) v))) |
(+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) |
(+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) |
(+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2))))))))) |
(+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2))))))))) |
(* 8/3 (/ (pow u 2) (pow v 2))) |
(* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 2) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 2/3 (/ 1 (* (pow u 2) (pow v 3)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2)))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))) |
(* (pow u 2) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 2/3 (/ 1 (* (pow u 2) (pow v 3)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2)))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))) |
(* 8/3 (/ (pow u 2) (pow v 2))) |
(* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(/ 2/3 (pow v 3)) |
(/ (+ 2/3 (* 4/3 v)) (pow v 3)) |
(/ (+ 2/3 (* v (+ 4/3 (* 2 v)))) (pow v 3)) |
(/ (+ 2/3 (* v (+ 4/3 (* v (+ 2 (* 2 v)))))) (pow v 3)) |
2 |
(+ 2 (* 2 (/ 1 v))) |
(+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) |
(+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) |
2 |
(+ 2 (* 2 (/ 1 v))) |
(+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) |
(+ 2 (* -1 (/ (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2) v))) |
(* 16 u) |
(* u (+ 16 (* -112 u))) |
(* u (+ 16 (* u (- (* 192 u) 112)))) |
(* u (+ 16 (* u (- (* u (+ 192 (* -96 u))) 112)))) |
(* -96 (pow u 4)) |
(* (pow u 4) (- (* 192 (/ 1 u)) 96)) |
(* (pow u 4) (- (* 192 (/ 1 u)) (+ 96 (/ 112 (pow u 2))))) |
(* (pow u 4) (- (+ (* 192 (/ 1 u)) (* 16 (/ 1 (pow u 3)))) (+ 96 (/ 112 (pow u 2))))) |
(* -96 (pow u 4)) |
(* (pow u 4) (- (* 192 (/ 1 u)) 96)) |
(* (pow u 4) (- (* -1 (/ (- (* 112 (/ 1 u)) 192) u)) 96)) |
(* (pow u 4) (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 u)) 112) u)) 192) u)) 96)) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
(* 4 u) |
-2 |
(- (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2) |
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (+ (* 4 (/ 1 (pow v 2))) (* 14/3 (/ 1 (pow v 3))))))) (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))))) 2) |
(- (* u (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* u (+ (* 8/3 (/ 1 (pow v 2))) (* 8 (/ 1 (pow v 3))))) (+ (* 2 (/ 1 v)) (+ (* 4 (/ 1 (pow v 2))) (* 14/3 (/ 1 (pow v 3)))))))))))) 2) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* (pow u 4) (- (+ (/ 8/3 (* u (pow v 2))) (/ 8 (* u (pow v 3)))) (* 4 (/ 1 (pow v 3))))) |
(* (pow u 4) (- (+ (* -1 (/ (+ (* 2 (/ 1 v)) (+ (* 4 (/ 1 (pow v 2))) (* 14/3 (/ 1 (pow v 3))))) (pow u 2))) (+ (/ 8/3 (* u (pow v 2))) (/ 8 (* u (pow v 3))))) (* 4 (/ 1 (pow v 3))))) |
(* (pow u 4) (- (+ (/ 2/3 (* (pow u 3) (pow v 3))) (+ (* 2 (/ 1 (pow u 3))) (+ (/ 4/3 (* (pow u 3) (pow v 2))) (+ (/ 2 (* (pow u 3) v)) (+ (/ 8/3 (* u (pow v 2))) (/ 8 (* u (pow v 3)))))))) (+ (* 4 (/ 1 (pow v 3))) (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4 (/ 1 (* (pow u 2) (pow v 2)))) (* 14/3 (/ 1 (* (pow u 2) (pow v 3))))))))) |
(* -4 (/ (pow u 4) (pow v 3))) |
(* (pow u 4) (- (+ (/ 8/3 (* u (pow v 2))) (/ 8 (* u (pow v 3)))) (* 4 (/ 1 (pow v 3))))) |
(* (pow u 4) (- (* -1 (/ (- (+ (/ 2 (* u v)) (+ (/ 4 (* u (pow v 2))) (/ 14/3 (* u (pow v 3))))) (+ (* 8/3 (/ 1 (pow v 2))) (* 8 (/ 1 (pow v 3))))) u)) (* 4 (/ 1 (pow v 3))))) |
(* (pow u 4) (- (* -1 (/ (- (* -1 (/ (- (+ (/ 2/3 (* u (pow v 3))) (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v))))) (+ (* 2 (/ 1 v)) (+ (* 4 (/ 1 (pow v 2))) (* 14/3 (/ 1 (pow v 3)))))) u)) (+ (* 8/3 (/ 1 (pow v 2))) (* 8 (/ 1 (pow v 3))))) u)) (* 4 (/ 1 (pow v 3))))) |
(* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (* (+ 16 (* (- 1 u) (- (* 192 (- 1 u)) 112))) (- 1 u))) (pow v 3))) |
(/ (+ (* -1/6 (* v (* (+ 8 (* (- 1 u) (- (* 16 (- 1 u)) 24))) (- 1 u)))) (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (* (+ 16 (* (- 1 u) (- (* 192 (- 1 u)) 112))) (- 1 u))))) (pow v 3)) |
(/ (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (* (+ 16 (* (- 1 u) (- (* 192 (- 1 u)) 112))) (- 1 u)))) (* v (+ (* -1/6 (* (+ 8 (* (- 1 u) (- (* 16 (- 1 u)) 24))) (- 1 u))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))))) (pow v 3)) |
(/ (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (* (+ 16 (* (- 1 u) (- (* 192 (- 1 u)) 112))) (- 1 u)))) (* v (+ (* -1/6 (* (+ 8 (* (- 1 u) (- (* 16 (- 1 u)) 24))) (- 1 u))) (* v (- (* -2 (* v (- 1 u))) (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))))))) (pow v 3)) |
(* -2 (- 1 u)) |
(+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) |
(- (+ (* -2 (- 1 u)) (* -1/6 (/ (* (+ 8 (* (- 1 u) (- (* 16 (- 1 u)) 24))) (- 1 u)) (pow v 2)))) (* -1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) |
(- (+ (* -2 (- 1 u)) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (* (+ 16 (* (- 1 u) (- (* 192 (- 1 u)) 112))) (- 1 u))) (pow v 3)))) (+ (* -1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (* 1/6 (/ (* (+ 8 (* (- 1 u) (- (* 16 (- 1 u)) 24))) (- 1 u)) (pow v 2))))) |
(* -2 (- 1 u)) |
(+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))) |
(+ (* -2 (- 1 u)) (* -1 (/ (- (* 1/6 (/ (* (+ 8 (* (- 1 u) (- (* 16 (- 1 u)) 24))) (- 1 u)) v)) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v))) |
(+ (* -2 (- 1 u)) (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (* (+ 16 (* (- 1 u) (- (* 192 (- 1 u)) 112))) (- 1 u))) v)) (* 1/6 (* (+ 8 (* (- 1 u) (- (* 16 (- 1 u)) 24))) (- 1 u)))) v)) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v))) |
-8 |
(- (* -16 u) 8) |
(- (* -16 u) 8) |
(- (* -16 u) 8) |
(* -16 u) |
(* -1 (* u (+ 16 (* 8 (/ 1 u))))) |
(* -1 (* u (+ 16 (* 8 (/ 1 u))))) |
(* -1 (* u (+ 16 (* 8 (/ 1 u))))) |
(* -16 u) |
(* -1 (* u (+ 16 (* 8 (/ 1 u))))) |
(* -1 (* u (+ 16 (* 8 (/ 1 u))))) |
(* -1 (* u (+ 16 (* 8 (/ 1 u))))) |
(/ 1 (exp (/ -2 v))) |
(+ (* u (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2)))) (/ 1 (exp (/ -2 v)))) |
(+ (* u (- (+ (* u (- (/ 1 (pow (exp (/ -2 v)) 3)) (+ (* -2 (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2)))) (/ 1 (exp (/ -2 v)))))) (/ 1 (exp (/ -2 v)))) (/ 1 (pow (exp (/ -2 v)) 2)))) (/ 1 (exp (/ -2 v)))) |
(+ (* u (- (+ (* u (- (+ (* -1 (* u (+ (* -2 (- (/ 1 (pow (exp (/ -2 v)) 3)) (+ (* -2 (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2)))) (/ 1 (exp (/ -2 v)))))) (/ (* (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2))) (- (pow (exp (/ -2 v)) 2) 1)) (pow (exp (/ -2 v)) 2))))) (/ 1 (pow (exp (/ -2 v)) 3))) (+ (* -2 (- (/ 1 (exp (/ -2 v))) (/ 1 (pow (exp (/ -2 v)) 2)))) (/ 1 (exp (/ -2 v)))))) (/ 1 (exp (/ -2 v)))) (/ 1 (pow (exp (/ -2 v)) 2)))) (/ 1 (exp (/ -2 v)))) |
(/ (- (* -1 (exp (/ -2 v))) 1) (* u (- (pow (exp (/ -2 v)) 2) 1))) |
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(log (/ (- (* (exp (/ -2 v)) (- 1 u)) u) (- (* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2)) (pow u 2)))) |
(log (/ (- (* (exp (/ -2 v)) (- 1 u)) u) (- (* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2)) (pow u 2)))) |
(log (/ (- (* (exp (/ -2 v)) (- 1 u)) u) (- (* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2)) (pow u 2)))) |
(log (/ (- (* (exp (/ -2 v)) (- 1 u)) u) (- (* (pow (exp (/ -2 v)) 2) (pow (- 1 u) 2)) (pow u 2)))) |
(log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2)))) |
(+ (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2)))) (/ (* (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (- (pow (- 1 u) 2) (pow u 2))) (* v (- 1 (* 2 u))))) |
(+ (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* 1/2 (/ (+ (* -1 (/ (* (pow (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) 2) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)) (pow (- 1 (* 2 u)) 2))) (* 2 (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* -4 (/ (* (pow (- 1 u) 2) (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u))))) (pow v 2))) (/ (* (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (- (pow (- 1 u) 2) (pow u 2))) (* v (- 1 (* 2 u)))))) |
(+ (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* 1/6 (/ (+ (* -6 (/ (* (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* -4 (/ (* (pow (- 1 u) 2) (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))) (pow (- 1 (* 2 u)) 2))) (+ (* 2 (/ (* (pow (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) 3) (pow (- (pow (- 1 u) 2) (pow u 2)) 3)) (pow (- 1 (* 2 u)) 3))) (* 6 (/ (* (- (* -4/3 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* -32/3 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))) (+ (* -4 (/ (* (pow (- 1 u) 2) (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* -4 (/ (* (pow (- 1 u) 2) (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2))))))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u)))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -1 (/ (* (pow (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) 2) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)) (pow (- 1 (* 2 u)) 2))) (* 2 (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* -4 (/ (* (pow (- 1 u) 2) (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u))))) (pow v 2))) (/ (* (- (* -2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* -4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (- (pow (- 1 u) 2) (pow u 2))) (* v (- 1 (* 2 u))))))) |
(log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2)))) |
(+ (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2)))) (* -1 (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (- (pow (- 1 u) 2) (pow u 2))) (* v (- 1 (* 2 u)))))) |
(+ (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2)))) (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (* (pow (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) 2) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)) (pow (- 1 (* 2 u)) 2))) (* 2 (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* 4 (/ (* (pow (- 1 u) 2) (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u))))) v)) (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u)))) v))) |
(+ (log (/ (- 1 (* 2 u)) (- (pow (- 1 u) 2) (pow u 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* 4 (/ (* (pow (- 1 u) 2) (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))) (pow (- 1 (* 2 u)) 2))) (+ (* 2 (/ (* (pow (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) 3) (pow (- (pow (- 1 u) 2) (pow u 2)) 3)) (pow (- 1 (* 2 u)) 3))) (* 6 (/ (* (- (* 4/3 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* 4 (/ (* (pow (- 1 u) 2) (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* 4 (/ (* (pow (- 1 u) 2) (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))))) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* 8 (/ (* (pow (- 1 u) 2) (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 32/3 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u)))))) v)) (* 1/2 (+ (* -1 (/ (* (pow (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) 2) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)) (pow (- 1 (* 2 u)) 2))) (* 2 (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (+ (* 4 (/ (* (pow (- 1 u) 2) (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2)))) (* 8 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2))))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u))))))) v)) (/ (* (- (* 2 (/ (- 1 u) (- (pow (- 1 u) 2) (pow u 2)))) (* 4 (/ (* (pow (- 1 u) 2) (- 1 (* 2 u))) (pow (- (pow (- 1 u) 2) (pow u 2)) 2)))) (- (pow (- 1 u) 2) (pow u 2))) (- 1 (* 2 u)))) v))) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
(exp (/ -2 v)) |
1 |
(- 1 (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) |
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) |
1 |
(- 1 (* 2 (/ 1 v))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) |
(* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) |
(- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) |
(- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) |
(- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) |
(* 8/3 (/ u (pow v 2))) |
(* u (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* u (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* u (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* 8/3 (/ u (pow v 2))) |
(* -1 (* u (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* u (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(* -1 (* u (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2)))))) |
(/ (- (* 8/3 u) 4) (pow v 2)) |
(/ (- (+ (* -2 v) (* 8/3 u)) 4) (pow v 2)) |
(/ (- (+ (* -2 v) (* 8/3 u)) 4) (pow v 2)) |
(/ (- (+ (* -2 v) (* 8/3 u)) 4) (pow v 2)) |
(/ -2 v) |
(/ (- (* 8/3 (/ u v)) (+ 2 (* 4 (/ 1 v)))) v) |
(/ (- (* 8/3 (/ u v)) (+ 2 (* 4 (/ 1 v)))) v) |
(/ (- (* 8/3 (/ u v)) (+ 2 (* 4 (/ 1 v)))) v) |
(/ -2 v) |
(* -1 (/ (+ 2 (* -1 (/ (- (* 8/3 u) 4) v))) v)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* 8/3 u) 4) v))) v)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* 8/3 u) 4) v))) v)) |
(* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) |
(* u (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2))))) |
(* u (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2))))) |
(* u (+ (* -1 (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) (* 8/3 (/ u (pow v 2))))) |
(* 8/3 (/ (pow u 2) (pow v 2))) |
(* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* 8/3 (/ (pow u 2) (pow v 2))) |
(* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
(/ (* u (- (* 8/3 u) 4)) (pow v 2)) |
(/ (+ (* -2 (* u v)) (* u (- (* 8/3 u) 4))) (pow v 2)) |
(/ (+ (* -2 (* u v)) (* u (- (* 8/3 u) 4))) (pow v 2)) |
(/ (+ (* -2 (* u v)) (* u (- (* 8/3 u) 4))) (pow v 2)) |
(* -2 (/ u v)) |
(/ (+ (* -2 u) (/ (* u (- (* 8/3 u) 4)) v)) v) |
(/ (+ (* -2 u) (/ (* u (- (* 8/3 u) 4)) v)) v) |
(/ (+ (* -2 u) (/ (* u (- (* 8/3 u) 4)) v)) v) |
(* -2 (/ u v)) |
(* -1 (/ (+ (* -1 (/ (* u (- (* 8/3 u) 4)) v)) (* 2 u)) v)) |
(* -1 (/ (+ (* -1 (/ (* u (- (* 8/3 u) 4)) v)) (* 2 u)) v)) |
(* -1 (/ (+ (* -1 (/ (* u (- (* 8/3 u) 4)) v)) (* 2 u)) v)) |
(* -8 u) |
(* u (- (* 16 u) 8)) |
(* u (- (* 16 u) 8)) |
(* u (- (* 16 u) 8)) |
(* 16 (pow u 2)) |
(* (pow u 2) (- 16 (* 8 (/ 1 u)))) |
(* (pow u 2) (- 16 (* 8 (/ 1 u)))) |
(* (pow u 2) (- 16 (* 8 (/ 1 u)))) |
(* 16 (pow u 2)) |
(* (pow u 2) (- 16 (* 8 (/ 1 u)))) |
(* (pow u 2) (- 16 (* 8 (/ 1 u)))) |
(* (pow u 2) (- 16 (* 8 (/ 1 u)))) |
1 |
(+ 1 (* -4 u)) |
(+ 1 (* u (- (* 6 u) 4))) |
(+ 1 (* u (- (* u (+ 6 (* -4 u))) 4))) |
(pow u 4) |
(* (pow u 4) (- 1 (* 4 (/ 1 u)))) |
(* (pow u 4) (- (+ 1 (/ 6 (pow u 2))) (* 4 (/ 1 u)))) |
(* (pow u 4) (- (+ 1 (/ 6 (pow u 2))) (+ (* 4 (/ 1 u)) (* 4 (/ 1 (pow u 3)))))) |
(pow u 4) |
(* (pow u 4) (- 1 (* 4 (/ 1 u)))) |
(* (pow u 4) (+ 1 (* -1 (/ (- 4 (* 6 (/ 1 u))) u)))) |
(* (pow u 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 4 (/ 1 u))) u))) u)))) |
| Outputs |
|---|
(pow (exp (/ -2 v)) 2) |
(exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) |
(+ (* -2 (* u (pow (exp (/ -2 v)) 2))) (pow (exp (/ -2 v)) 2)) |
(+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (*.f32 #s(literal -2 binary32) u) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) |
(+ (* u (+ (* -2 (pow (exp (/ -2 v)) 2)) (* u (pow (exp (/ -2 v)) 2)))) (pow (exp (/ -2 v)) 2)) |
(+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 u (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal -2 binary32) u)))) |
(+ (* u (+ (* -2 (pow (exp (/ -2 v)) 2)) (* u (pow (exp (/ -2 v)) 2)))) (pow (exp (/ -2 v)) 2)) |
(+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 u (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal -2 binary32) u)))) |
(* (pow u 2) (pow (exp (/ -2 v)) 2)) |
(*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 u u)) |
(* (pow u 2) (+ (* -2 (/ (pow (exp (/ -2 v)) 2) u)) (pow (exp (/ -2 v)) 2))) |
(*.f32 (*.f32 u u) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (/.f32 (*.f32 #s(literal -2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) u))) |
(* (pow u 2) (+ (* -2 (/ (pow (exp (/ -2 v)) 2) u)) (+ (/ (pow (exp (/ -2 v)) 2) (pow u 2)) (pow (exp (/ -2 v)) 2)))) |
(*.f32 (*.f32 u u) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) u) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 u u))))) |
(* (pow u 2) (+ (* -2 (/ (pow (exp (/ -2 v)) 2) u)) (+ (/ (pow (exp (/ -2 v)) 2) (pow u 2)) (pow (exp (/ -2 v)) 2)))) |
(*.f32 (*.f32 u u) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) u) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 u u))))) |
(* (pow u 2) (pow (exp (/ -2 v)) 2)) |
(*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 u u)) |
(* (pow u 2) (+ (* -2 (/ (pow (exp (/ -2 v)) 2) u)) (pow (exp (/ -2 v)) 2))) |
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2 |
#s(literal 2 binary32) |
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2 |
#s(literal 2 binary32) |
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(* 8/3 (/ (pow u 2) (pow v 2))) |
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(* 8/3 (/ (pow u 2) (pow v 2))) |
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(* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))) |
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(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))) |
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(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (+ 2 (+ (* 2/3 (/ 1 (pow v 3))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))) |
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(/ 2/3 (pow v 3)) |
(/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) |
(/ (+ 2/3 (* 4/3 v)) (pow v 3)) |
(/.f32 (+.f32 #s(literal 2/3 binary32) (*.f32 v #s(literal 4/3 binary32))) (*.f32 v (*.f32 v v))) |
(/ (+ 2/3 (* v (+ 4/3 (* 2 v)))) (pow v 3)) |
(/.f32 (+.f32 #s(literal 2/3 binary32) (*.f32 v (+.f32 #s(literal 4/3 binary32) (*.f32 v #s(literal 2 binary32))))) (*.f32 v (*.f32 v v))) |
(/ (+ 2/3 (* v (+ 4/3 (* v (+ 2 (* 2 v)))))) (pow v 3)) |
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2 |
#s(literal 2 binary32) |
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2 |
#s(literal 2 binary32) |
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(+ 2 (* -1 (/ (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2) v))) |
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(* 16 u) |
(*.f32 u #s(literal 16 binary32)) |
(* u (+ 16 (* -112 u))) |
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(* u (+ 16 (* u (- (* 192 u) 112)))) |
(*.f32 u (+.f32 #s(literal 16 binary32) (*.f32 u (+.f32 (*.f32 u #s(literal 192 binary32)) #s(literal -112 binary32))))) |
(* u (+ 16 (* u (- (* u (+ 192 (* -96 u))) 112)))) |
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(* -96 (pow u 4)) |
(*.f32 #s(literal -96 binary32) (pow.f32 u #s(literal 4 binary32))) |
(* (pow u 4) (- (* 192 (/ 1 u)) 96)) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 192 binary32) u) #s(literal -96 binary32))) |
(* (pow u 4) (- (* 192 (/ 1 u)) (+ 96 (/ 112 (pow u 2))))) |
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(+ 1 (* u (- (* 6 u) 4))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 u #s(literal 6 binary32)) #s(literal -4 binary32)))) |
(+ 1 (* u (- (* u (+ 6 (* -4 u))) 4))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 u (+.f32 #s(literal 6 binary32) (*.f32 u #s(literal -4 binary32)))) #s(literal -4 binary32)))) |
(pow u 4) |
(pow.f32 u #s(literal 4 binary32)) |
(* (pow u 4) (- 1 (* 4 (/ 1 u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 4 binary32) u))) |
(* (pow u 4) (- (+ 1 (/ 6 (pow u 2))) (* 4 (/ 1 u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 6 binary32) (*.f32 u u))) (/.f32 #s(literal 4 binary32) u))) |
(* (pow u 4) (- (+ 1 (/ 6 (pow u 2))) (+ (* 4 (/ 1 u)) (* 4 (/ 1 (pow u 3)))))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 6 binary32) (*.f32 u u))) (+.f32 (/.f32 #s(literal 4 binary32) u) (/.f32 #s(literal 4 binary32) (*.f32 u (*.f32 u u)))))) |
(pow u 4) |
(pow.f32 u #s(literal 4 binary32)) |
(* (pow u 4) (- 1 (* 4 (/ 1 u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 4 binary32) u))) |
(* (pow u 4) (+ 1 (* -1 (/ (- 4 (* 6 (/ 1 u))) u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 6 binary32) u)) u))) |
(* (pow u 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 4 (/ 1 u))) u))) u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 6 binary32) (/.f32 #s(literal 4 binary32) u)) u)) u))) |
Compiled 73757 to 4278 computations (94.2% saved)
43 alts after pruning (37 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 897 | 18 | 915 |
| Fresh | 10 | 19 | 29 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 911 | 43 | 954 |
| Status | Accuracy | Program |
|---|---|---|
| 97.5% | (fma.f32 (log.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) v #s(literal 1 binary32)) | |
| 10.5% | (/.f32 (+.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (+.f32 (+.f32 (*.f32 #s(literal -4/3 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -24 binary32))))) (*.f32 v (+.f32 (*.f32 v (+.f32 #s(literal -1 binary32) (*.f32 u #s(literal 2 binary32)))) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u)))) (-.f32 #s(literal 1 binary32) u))))))) (*.f32 v (*.f32 v v))) | |
| 11.6% | (/.f32 (*.f32 #s(literal 2 binary32) u) v) | |
| 6.6% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)) (-.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)))))) | |
| 99.5% | (/.f32 #s(literal 1 binary32) (/.f32 #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))))))))) | |
| 10.8% | (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 u #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 (+.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -24 binary32)))) v) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 4 binary32) (*.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u)))))) v)) | |
| 4.9% | (+.f32 (/.f32 (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32))) (*.f32 v (*.f32 v v))) #s(literal 1 binary32)) | |
| 7.5% | (+.f32 (+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) #s(literal 2 binary32))))) (*.f32 (*.f32 u u) (+.f32 (/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) v)))) | |
| 9.2% | (+.f32 (*.f32 u (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))) #s(literal -1 binary32)) | |
| 10.5% | (+.f32 (*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (+.f32 #s(literal 4/3 binary32) (+.f32 (*.f32 u (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal -4 binary32))) (/.f32 #s(literal 2/3 binary32) v))) v)) #s(literal -2 binary32)) v))) #s(literal -1 binary32)) | |
| 10.8% | (+.f32 (*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (+.f32 #s(literal 4/3 binary32) (*.f32 u (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal -4 binary32)))) v)) #s(literal -2 binary32)) v))) #s(literal -1 binary32)) | |
| 13.2% | (+.f32 (*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)) v))) #s(literal -1 binary32)) | |
| 10.3% | (+.f32 (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -1 binary32)) | |
| 10.3% | (+.f32 (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))) (/.f32 (*.f32 #s(literal 8/3 binary32) (*.f32 u u)) (*.f32 v v)))) #s(literal -1 binary32)) | |
| 13.1% | (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) | |
| 7.5% | (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))))))) #s(literal -1 binary32)) | |
| ✓ | 6.6% | (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)) |
| 6.7% | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) | |
| 10.5% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 #s(literal -96 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u #s(literal -4 binary32))))) (/.f32 #s(literal 1/24 binary32) v))) v)) v))) | |
| 10.1% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (*.f32 (*.f32 u (+.f32 #s(literal 16 binary32) (*.f32 u (+.f32 (*.f32 u (+.f32 #s(literal 192 binary32) (*.f32 u #s(literal -96 binary32)))) #s(literal -112 binary32))))) (/.f32 #s(literal 1/24 binary32) v))) v)) v))) | |
| 10.5% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u #s(literal -4 binary32)))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) | |
| 10.0% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) | |
| 10.5% | (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 u (+.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) | |
| 13.1% | (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32))) | |
| 6.6% | (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))) | |
| 1.3% | (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 u (*.f32 v v))) (/.f32 #s(literal 8 binary32) (*.f32 u (*.f32 v (*.f32 v v))))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 14/3 binary32) (*.f32 v (*.f32 v v))))) (*.f32 u u))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))))) | |
| 13.1% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (+.f32 (/.f32 (*.f32 u #s(literal 2 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) v))) | |
| 12.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)) v))) | |
| 99.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))))) | |
| 89.6% | (+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (*.f32 (/.f32 #s(literal -4 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) u))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))))) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u)))))))) | |
| ✓ | 99.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) |
| 97.8% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) (neg.f32 v)) #s(literal -1 binary32)) v)) #s(literal -2 binary32))))))) | |
| ✓ | 99.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))))) |
| ✓ | 99.7% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 96.3% | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) | |
| 13.1% | (+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) u)))) | |
| 8.9% | (+.f32 #s(literal -1 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u))) | |
| 3.5% | (+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 v u) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))))))))) | |
| 13.1% | (*.f32 (*.f32 u u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) | |
| 6.6% | (*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u))) | |
| 20.3% | (*.f32 #s(literal 2 binary32) u) | |
| ✓ | 88.8% | #s(literal 1 binary32) |
| ✓ | 4.8% | #s(literal -1 binary32) |
Compiled 4346 to 1393 computations (67.9% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 #s(literal 2 binary32) u) |
(+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)) |
(/.f32 (*.f32 #s(literal 2 binary32) u) v) |
(*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))) |
(*.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32))) v)) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) |
(+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) v))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32))) |
(+.f32 (*.f32 u (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) u)))) |
(+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32))) v))) #s(literal -1 binary32)) |
(+.f32 (*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)) v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)))) v))) |
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(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal -4 binary32) (*.f32 u #s(literal 6 binary32)))))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) |
(+.f32 #s(literal -1 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -4 binary32) (pow.f32 u #s(literal 4 binary32))) (*.f32 v (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) u) (/.f32 #s(literal 8 binary32) (*.f32 u (*.f32 v (*.f32 v v))))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 14/3 binary32) (*.f32 v (*.f32 v v))))) (*.f32 u u))) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 u (*.f32 v v))) (/.f32 #s(literal 8 binary32) (*.f32 u (*.f32 v (*.f32 v v))))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 14/3 binary32) (*.f32 v (*.f32 v v))))) (*.f32 u u))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)) (-.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)))))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -4 binary32) (*.f32 u u)) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) |
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (*.f32 (/.f32 #s(literal -4 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) u))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))))) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) #s(literal -1/24 binary32)) v) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))))) v)) v)) (neg.f32 v)))) |
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)))))) (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) (*.f32 v (*.f32 v v))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) |
(+.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 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #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 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) (neg.f32 v)) #s(literal -1 binary32)) v)) #s(literal -2 binary32))))))) |
(fma.f32 (log.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) |
(fma.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))))) |
(+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) (*.f32 #s(literal -1/2 binary32) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (-.f32 (*.f32 u u) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))))) (log.f32 (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 v (*.f32 (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (+.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32))))) |
(+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 v u) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))))))))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
4 calls:
| 22.0ms | v |
| 22.0ms | u |
| 22.0ms | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
| 19.0ms | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | u |
| 99.7% | 1 | v |
| 99.7% | 1 | (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
| 99.7% | 1 | (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) |
Compiled 38 to 27 computations (28.9% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 #s(literal 2 binary32) u) |
(+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)) |
(/.f32 (*.f32 #s(literal 2 binary32) u) v) |
(*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))) |
(*.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32))) v)) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) |
(+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) v))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32))) |
(+.f32 (*.f32 u (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) u)))) |
(+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32))) v))) #s(literal -1 binary32)) |
(+.f32 (*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)) v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u #s(literal 2 binary32)) v)) v))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 #s(literal -2 binary32) u) v))))) |
(+.f32 (/.f32 (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32))) (*.f32 v (*.f32 v v))) #s(literal 1 binary32)) |
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(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -4 binary32) (pow.f32 u #s(literal 4 binary32))) (*.f32 v (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) u) (/.f32 #s(literal 8 binary32) (*.f32 u (*.f32 v (*.f32 v v))))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 14/3 binary32) (*.f32 v (*.f32 v v))))) (*.f32 u u))) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 u (*.f32 v v))) (/.f32 #s(literal 8 binary32) (*.f32 u (*.f32 v (*.f32 v v))))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 14/3 binary32) (*.f32 v (*.f32 v v))))) (*.f32 u u))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)) (-.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)))))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -4 binary32) (*.f32 u u)) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) |
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (*.f32 (/.f32 #s(literal -4 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) u))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))))) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) #s(literal -1/24 binary32)) v) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))))) v)) v)) (neg.f32 v)))) |
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)))))) (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) (*.f32 v (*.f32 v v))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) |
2 calls:
| 19.0ms | u |
| 17.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 1 | u |
| 96.3% | 1 | v |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 #s(literal 2 binary32) u) |
(+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)) |
(/.f32 (*.f32 #s(literal 2 binary32) u) v) |
(*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))) |
(*.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32))) v)) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) |
(+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) v))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32))) |
(+.f32 (*.f32 u (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) u)))) |
(+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32))) v))) #s(literal -1 binary32)) |
(+.f32 (*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)) v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u #s(literal 2 binary32)) v)) v))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 #s(literal -2 binary32) u) v))))) |
(+.f32 (/.f32 (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32))) (*.f32 v (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (+.f32 (/.f32 (*.f32 u #s(literal 2 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) v))) |
(*.f32 (*.f32 u u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) |
(+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))))))) #s(literal -1 binary32)) |
(+.f32 (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -1 binary32)) |
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 u u))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))))) |
(+.f32 (*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (+.f32 #s(literal 4/3 binary32) (*.f32 u (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal -4 binary32)))) v)) #s(literal -2 binary32)) v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
(+.f32 (*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (+.f32 #s(literal 4/3 binary32) (+.f32 (*.f32 u (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal -4 binary32))) (/.f32 #s(literal 2/3 binary32) v))) v)) #s(literal -2 binary32)) v))) #s(literal -1 binary32)) |
(+.f32 (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))) (/.f32 (*.f32 #s(literal 8/3 binary32) (*.f32 u u)) (*.f32 v v)))) #s(literal -1 binary32)) |
(+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))))))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 u (+.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal -16 binary32)) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) |
(+.f32 (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))) (*.f32 u (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 8/3 binary32) u) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) #s(literal -1 binary32)) |
(+.f32 (+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) #s(literal 2 binary32))))) (*.f32 (*.f32 u u) (+.f32 (/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) v)))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 14/3 binary32) (*.f32 v (*.f32 v v))))))))))) |
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(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (*.f32 (/.f32 #s(literal -4 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) u))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))))) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) #s(literal -1/24 binary32)) v) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))))) v)) v)) (neg.f32 v)))) |
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)))))) (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) (*.f32 v (*.f32 v v))))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (*.f32 (/.f32 #s(literal -4 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) u))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))))) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u)))))))) |
2 calls:
| 38.0ms | u |
| 17.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 1 | u |
| 89.6% | 1 | v |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal -1 binary32) |
#s(literal 1 binary32) |
(*.f32 #s(literal 2 binary32) u) |
(+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)) |
(/.f32 (*.f32 #s(literal 2 binary32) u) v) |
(*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u #s(literal 2 binary32)) #s(literal -2 binary32))) |
(*.f32 u (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32))) v)) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) |
(+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) v))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32))) |
(+.f32 (*.f32 u (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) u)))) |
(+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 u #s(literal -2 binary32))) v))) #s(literal -1 binary32)) |
(+.f32 (*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)) v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)))) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u #s(literal 2 binary32)) v)) v))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 #s(literal -2 binary32) u) v))))) |
(+.f32 (/.f32 (*.f32 (*.f32 u u) (*.f32 (*.f32 u u) #s(literal -4 binary32))) (*.f32 v (*.f32 v v))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (+.f32 (/.f32 (*.f32 u #s(literal 2 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) v))) |
(*.f32 (*.f32 u u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 2 binary32) (*.f32 v u))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) |
(+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))))))) #s(literal -1 binary32)) |
(+.f32 (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) #s(literal -1 binary32)) |
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 u u))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))))) |
(+.f32 (*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (+.f32 #s(literal 4/3 binary32) (*.f32 u (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal -4 binary32)))) v)) #s(literal -2 binary32)) v))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))) |
(+.f32 (*.f32 u (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (+.f32 #s(literal 4/3 binary32) (+.f32 (*.f32 u (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal -4 binary32))) (/.f32 #s(literal 2/3 binary32) v))) v)) #s(literal -2 binary32)) v))) #s(literal -1 binary32)) |
(+.f32 (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))) (/.f32 (*.f32 #s(literal 8/3 binary32) (*.f32 u u)) (*.f32 v v)))) #s(literal -1 binary32)) |
(+.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v))))))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 u (+.f32 (*.f32 u #s(literal 24 binary32)) #s(literal -8 binary32))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal -16 binary32)) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) |
(+.f32 (*.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))))) (*.f32 u (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 8/3 binary32) u) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) #s(literal -1 binary32)) |
(+.f32 (+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) #s(literal 2 binary32))))) (*.f32 (*.f32 u u) (+.f32 (/.f32 (/.f32 (*.f32 u #s(literal 8/3 binary32)) v) v) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) v)))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u (+.f32 #s(literal 2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 14/3 binary32) (*.f32 v (*.f32 v v))))))))))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 u (+.f32 (*.f32 u (+.f32 #s(literal 24 binary32) (*.f32 u #s(literal -16 binary32)))) #s(literal -8 binary32))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 24 binary32) u) #s(literal -16 binary32))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) |
(-.f32 (+.f32 #s(literal -1 binary32) (*.f32 u #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 (+.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -24 binary32)))) v) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 4 binary32) (*.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u)))))) v)) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) v)) v))) |
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) v)) v)) |
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) (/.f32 #s(literal 1/6 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))))) v)) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) (/.f32 #s(literal -1/6 binary32) v)) v) (*.f32 (+.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1/2 binary32)))))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))))) v)) (neg.f32 v)))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u #s(literal 16 binary32))) v)) v)) v))) |
(/.f32 (+.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (+.f32 (+.f32 (*.f32 #s(literal -4/3 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -24 binary32))))) (*.f32 v (+.f32 (*.f32 v (+.f32 #s(literal -1 binary32) (*.f32 u #s(literal 2 binary32)))) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u)))) (-.f32 #s(literal 1 binary32) u))))))) (*.f32 v (*.f32 v v))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (*.f32 (*.f32 u (+.f32 #s(literal 16 binary32) (*.f32 u (+.f32 (*.f32 u (+.f32 #s(literal 192 binary32) (*.f32 u #s(literal -96 binary32)))) #s(literal -112 binary32))))) (/.f32 #s(literal 1/24 binary32) v))) v)) v))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 u (+.f32 #s(literal 16 binary32) (*.f32 u (+.f32 #s(literal -112 binary32) (*.f32 u (+.f32 #s(literal 192 binary32) (*.f32 u #s(literal -96 binary32))))))))) v)) v)) v))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 #s(literal -96 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u #s(literal -4 binary32))))) (/.f32 #s(literal 1/24 binary32) v))) v)) v))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u #s(literal -4 binary32)))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (/.f32 #s(literal 1/24 binary32) v))) v)) v))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal -4 binary32) (*.f32 u #s(literal 6 binary32)))))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) |
(+.f32 #s(literal -1 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -4 binary32) (pow.f32 u #s(literal 4 binary32))) (*.f32 v (*.f32 v v)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) u) (/.f32 #s(literal 8 binary32) (*.f32 u (*.f32 v (*.f32 v v))))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 14/3 binary32) (*.f32 v (*.f32 v v))))) (*.f32 u u))) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 u (*.f32 v v))) (/.f32 #s(literal 8 binary32) (*.f32 u (*.f32 v (*.f32 v v))))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 14/3 binary32) (*.f32 v (*.f32 v v))))) (*.f32 u u))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)) (-.f32 (+.f32 #s(literal -2 binary32) (*.f32 u #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32))))) #s(literal -1/6 binary32)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) v)) v)))))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -4 binary32) (*.f32 u u)) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v))) |
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) #s(literal -24 binary32)))) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/24 binary32) (+.f32 (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v)) v)) v)) |
| Outputs |
|---|
#s(literal 1 binary32) |
2 calls:
| 22.0ms | u |
| 18.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 1 | u |
| 88.8% | 1 | v |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal -1 binary32) |
| Outputs |
|---|
#s(literal -1 binary32) |
2 calls:
| 1.0ms | v |
| 1.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.8% | 1 | u |
| 4.8% | 1 | v |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 222× | unsub-neg_binary32 |
| 146× | neg-mul-1_binary32 |
| 86× | distribute-lft-neg-in_binary32 |
| 78× | distribute-neg-out_binary32 |
| 76× | +-commutative_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 113 |
| 1 | 79 | 111 |
| 2 | 111 | 111 |
| 3 | 144 | 111 |
| 4 | 179 | 111 |
| 5 | 228 | 111 |
| 6 | 282 | 111 |
| 7 | 340 | 111 |
| 8 | 461 | 111 |
| 9 | 588 | 111 |
| 10 | 604 | 111 |
| 11 | 610 | 111 |
| 1× | saturated |
| Inputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (*.f32 (/.f32 #s(literal -4 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) u))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))))) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u)))))))) |
#s(literal 1 binary32) |
#s(literal -1 binary32) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (*.f32 (/.f32 #s(literal -4 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) u))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))))) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u)))))))) |
(-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 (/.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (+.f32 (*.f32 u u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 u #s(literal -1 binary32))))) (*.f32 (/.f32 #s(literal -4 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) (*.f32 u #s(literal -2 binary32)))) (+.f32 (*.f32 u u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 u #s(literal -1 binary32))))))) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u #s(literal -2 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))))))) |
#s(literal 1 binary32) |
#s(literal -1 binary32) |
| 4816× | +-lowering-+.f64 |
| 4816× | +-lowering-+.f32 |
| 4622× | *-lowering-*.f32 |
| 4622× | *-lowering-*.f64 |
| 3822× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1296 | 27042 |
| 1 | 4589 | 23864 |
| 0 | 8109 | 23864 |
| 0 | 59 | 289 |
| 1 | 367 | 280 |
| 2 | 3791 | 280 |
| 0 | 8135 | 280 |
| 0 | 12 | 53 |
| 1 | 61 | 48 |
| 2 | 493 | 48 |
| 3 | 5650 | 48 |
| 0 | 8162 | 48 |
| 0 | 337 | 2792 |
| 1 | 1020 | 2470 |
| 2 | 3645 | 2333 |
| 0 | 8363 | 2333 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 139 to 63 computations (54.7% saved)
Compiled 260 to 108 computations (58.5% saved)
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