
Time bar (total: 11.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 4 |
| 37.5% | 0.1% | 0.1% | 99.8% | 0% | 0% | 0% | 5 |
| 43.7% | 0.1% | 0.1% | 99.8% | 0% | 0% | 0% | 6 |
| 65.6% | 0.1% | 0.1% | 99.8% | 0% | 0% | 0% | 7 |
| 70.3% | 0.1% | 0% | 99.8% | 0% | 0% | 0% | 8 |
| 82% | 0.1% | 0% | 99.8% | 0% | 0% | 0% | 9 |
| 84.8% | 0.1% | 0% | 99.8% | 0% | 0% | 0% | 10 |
| 90.8% | 0.1% | 0% | 99.8% | 0% | 0% | 0% | 11 |
| 92.3% | 0.2% | 0% | 99.8% | 0% | 0% | 0% | 12 |
Compiled 25 to 18 computations (28% saved)
| 1.1s | 8 256× | 0 | valid |
const: 283.0ms (32.4% of total)ival-log: 237.0ms (27.1% of total)ival-mult: 126.0ms (14.4% of total)ival-<=: 106.0ms (12.1% of total)ival-sub: 48.0ms (5.5% of total)ival-neg: 43.0ms (4.9% of total)ival-and: 23.0ms (2.6% of total)exact: 5.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 220× | associate-*r* |
| 138× | distribute-lft-neg-in |
| 122× | associate-*l* |
| 110× | distribute-lft-in |
| 108× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 49 |
| 1 | 66 | 43 |
| 2 | 177 | 43 |
| 3 | 451 | 43 |
| 4 | 759 | 43 |
| 5 | 864 | 43 |
| 6 | 903 | 43 |
| 7 | 910 | 43 |
| 8 | 912 | 43 |
| 9 | 912 | 43 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 26 | 9 |
| 2 | 48 | 9 |
| 3 | 92 | 9 |
| 4 | 120 | 9 |
| 5 | 139 | 9 |
| 6 | 179 | 9 |
| 7 | 198 | 9 |
| 8 | 204 | 9 |
| 9 | 210 | 9 |
| 10 | 210 | 9 |
| 0 | 210 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| Outputs |
|---|
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(abs alpha)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 188 | 4 | (0.3213847875595093 0.005083744414150715) | 1 | (0.03012765944004059 0.010306205600500107) | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 0 | 0 | - | 0 | - | u0 |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (neg.f32 alpha) |
| 0 | 0 | - | 0 | - | (*.f32 (neg.f32 alpha) alpha) |
| 0 | 0 | - | 0 | - | alpha |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u0) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f32 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) | sensitivity | 191 | 14 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 187 | 1 |
| - | 4 | 64 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 187 | 1 | 0 |
| - | 4 | 13 | 51 |
| number | freq |
|---|---|
| 0 | 65 |
| 1 | 191 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 95.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-mult: 37.0ms (73.8% of total)ival-log: 8.0ms (15.9% of total)ival-sub: 3.0ms (6% of total)ival-neg: 2.0ms (4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.4% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f32 alpha) |
| ✓ | cost-diff | 0 | (*.f32 (neg.f32 alpha) alpha) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| ✓ | cost-diff | 32 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 74× | lower-fma.f64 |
| 74× | lower-fma.f32 |
| 70× | lower-*.f64 |
| 66× | lower-*.f32 |
| 64× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 0 | 13 | 25 |
| 1 | 26 | 25 |
| 2 | 48 | 25 |
| 3 | 92 | 25 |
| 4 | 120 | 25 |
| 5 | 139 | 25 |
| 6 | 179 | 25 |
| 7 | 198 | 25 |
| 8 | 204 | 25 |
| 9 | 210 | 25 |
| 10 | 210 | 25 |
| 0 | 210 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (neg.f32 alpha) alpha) |
(neg.f32 alpha) |
alpha |
(log.f32 (-.f32 #s(literal 1 binary32) u0)) |
(-.f32 #s(literal 1 binary32) u0) |
#s(literal 1 binary32) |
u0 |
| Outputs |
|---|
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(*.f32 (neg.f32 alpha) alpha) |
(*.f32 alpha (neg.f32 alpha)) |
(neg.f32 alpha) |
alpha |
(log.f32 (-.f32 #s(literal 1 binary32) u0)) |
(log1p.f32 (neg.f32 u0)) |
(-.f32 #s(literal 1 binary32) u0) |
#s(literal 1 binary32) |
u0 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f32 (neg.f32 alpha) alpha) |
| ✓ | accuracy | 100.0% | (neg.f32 alpha) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| ✓ | accuracy | 58.2% | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 22.0ms | 256× | 0 | valid |
Compiled 27 to 10 computations (63% saved)
ival-mult: 8.0ms (53.2% of total)ival-log: 4.0ms (26.6% of total)ival-sub: 1.0ms (6.6% of total)ival-neg: 1.0ms (6.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log.f32 (-.f32 #s(literal 1 binary32) u0))> |
#<alt (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))> |
#<alt (*.f32 (neg.f32 alpha) alpha)> |
#<alt (neg.f32 alpha)> |
| Outputs |
|---|
#<alt (* -1 u0)> |
#<alt (* u0 (- (* -1/2 u0) 1))> |
#<alt (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))> |
#<alt (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))> |
#<alt (+ (log -1) (* -1 (log (/ 1 u0))))> |
#<alt (- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))> |
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))> |
#<alt (* -1 (log (/ -1 u0)))> |
#<alt (- (* -1 (log (/ -1 u0))) (/ 1 u0))> |
#<alt (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))> |
#<alt (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))> |
#<alt (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))> |
#<alt (* (pow alpha 2) (log (/ -1 u0)))> |
#<alt (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))> |
#<alt (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | alpha | @ | 0 | (* (* (neg alpha) alpha) (log (- 1 u0))) |
| 26.0ms | alpha | @ | inf | (* (* (neg alpha) alpha) (log (- 1 u0))) |
| 0.0ms | u0 | @ | 0 | (* (* (neg alpha) alpha) (log (- 1 u0))) |
| 0.0ms | u0 | @ | inf | (log (- 1 u0)) |
| 0.0ms | u0 | @ | 0 | (log (- 1 u0)) |
| 1× | batch-egg-rewrite |
| 4 030× | lower-fma.f64 |
| 4 030× | lower-fma.f32 |
| 3 674× | lower-/.f64 |
| 3 674× | lower-/.f32 |
| 3 022× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 39 | 19 |
| 2 | 180 | 19 |
| 3 | 1310 | 19 |
| 0 | 9491 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 (-.f32 #s(literal 1 binary32) u0)) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (neg.f32 alpha) alpha) |
(neg.f32 alpha) |
| Outputs |
|---|
(log1p.f32 u0) |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 (neg.f32 (log1p.f32 u0))) |
(+.f32 (log1p.f32 u0) #s(literal 0 binary32)) |
(+.f32 #s(literal 0 binary32) (log1p.f32 u0)) |
(+.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0)))) |
(+.f32 (log1p.f32 (*.f32 u0 u0)) (neg.f32 (log1p.f32 u0))) |
(+.f32 (neg.f32 (log1p.f32 u0)) (log1p.f32 (*.f32 u0 u0))) |
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u0 (*.f32 u0 u0)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 u0 u0 u0))))) |
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u0 (*.f32 u0 u0)))) (neg.f32 (log.f32 (-.f32 #s(literal -1 binary32) (fma.f32 u0 u0 u0))))) |
(+.f32 (log.f32 (neg.f32 (fma.f32 u0 u0 #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u0 #s(literal -1 binary32))))) |
(+.f32 (log.f32 (neg.f32 (fma.f32 u0 u0 #s(literal 1 binary32)))) (neg.f32 (log.f32 (+.f32 u0 #s(literal -1 binary32))))) |
(+.f32 (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))) |
(+.f32 (log.f32 (/.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u0 u0 u0))) |
(+.f32 (log.f32 (/.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u0 (*.f32 u0 u0))))) (log.f32 (-.f32 #s(literal -1 binary32) (fma.f32 u0 u0 u0)))) |
(+.f32 (log.f32 (/.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (neg.f32 (fma.f32 u0 u0 #s(literal 1 binary32))))) (log.f32 (+.f32 u0 #s(literal -1 binary32)))) |
(+.f32 (log.f32 (/.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (fma.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 u0 #s(literal 1 binary32))) (fma.f32 u0 u0 u0) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u0 u0 u0) (+.f32 (fma.f32 u0 u0 u0) #s(literal -1 binary32))))) |
(+.f32 (log.f32 (/.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 u0) (fma.f32 u0 u0 #s(literal 1 binary32)))))) (log1p.f32 (fma.f32 u0 u0 u0))) |
(fma.f32 #s(literal -1 binary32) (log1p.f32 u0) (log1p.f32 (*.f32 u0 u0))) |
(fma.f32 #s(literal -1 binary32) (log1p.f32 (fma.f32 u0 u0 u0)) (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))) |
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u0)) #s(literal 0 binary32)) |
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))))) #s(literal 0 binary32)) |
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0))))) #s(literal 0 binary32)) |
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) #s(literal 0 binary32)) |
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u0)))) #s(literal 0 binary32)) |
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u0))) |
(-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))) |
(-.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0)) |
(-.f32 (log1p.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (fma.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))))) (log.f32 (*.f32 (fma.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) |
(-.f32 (log1p.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (log.f32 (*.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) |
(-.f32 (log1p.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 u0 #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (log.f32 (*.f32 (fma.f32 (*.f32 u0 u0) (fma.f32 u0 u0 #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u0)))) |
(-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 u0)))) (log.f32 (*.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u0)))) |
(-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 u0)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (fma.f32 u0 u0 #s(literal 1 binary32))))) |
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u0 (*.f32 u0 u0)))) (log.f32 (-.f32 #s(literal -1 binary32) (fma.f32 u0 u0 u0)))) |
(-.f32 (log.f32 (neg.f32 (fma.f32 u0 u0 #s(literal 1 binary32)))) (log.f32 (+.f32 u0 #s(literal -1 binary32)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0))))) |
(-.f32 (log.f32 (/.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0)))) |
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(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) (*.f32 (log1p.f32 u0) alpha))) (*.f32 alpha (neg.f32 alpha))) |
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (log1p.f32 u0) (*.f32 alpha (neg.f32 alpha))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (*.f32 (log1p.f32 u0) (*.f32 alpha (neg.f32 alpha))) (*.f32 (log1p.f32 u0) (*.f32 alpha (neg.f32 alpha)))) (*.f32 #s(literal 0 binary32) (*.f32 (log1p.f32 u0) (*.f32 alpha (neg.f32 alpha))))))) |
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (log1p.f32 u0) (*.f32 alpha alpha)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 (log1p.f32 u0) (*.f32 alpha alpha)) (*.f32 (log1p.f32 u0) (*.f32 alpha alpha)) (*.f32 #s(literal 0 binary32) (*.f32 (log1p.f32 u0) (*.f32 alpha alpha)))))) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (log1p.f32 u0) (*.f32 alpha (neg.f32 alpha))) (*.f32 (log1p.f32 u0) (*.f32 alpha (neg.f32 alpha))))) (-.f32 #s(literal 0 binary32) (*.f32 (log1p.f32 u0) (*.f32 alpha (neg.f32 alpha))))) |
(*.f32 (log1p.f32 u0) (*.f32 alpha (neg.f32 alpha))) |
(*.f32 alpha (neg.f32 (*.f32 (log1p.f32 u0) alpha))) |
(*.f32 (neg.f32 alpha) (*.f32 (log1p.f32 u0) alpha)) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 u0)) |
(*.f32 #s(literal -1 binary32) (*.f32 (log1p.f32 u0) (*.f32 alpha alpha))) |
(*.f32 (*.f32 alpha alpha) (neg.f32 (log1p.f32 u0))) |
(*.f32 (*.f32 (log1p.f32 u0) alpha) (neg.f32 alpha)) |
(*.f32 (*.f32 (log1p.f32 u0) (*.f32 alpha alpha)) #s(literal -1 binary32)) |
(*.f32 (neg.f32 (*.f32 (log1p.f32 u0) alpha)) alpha) |
(*.f32 (neg.f32 (log1p.f32 u0)) (*.f32 alpha alpha)) |
(*.f32 (*.f32 (log1p.f32 u0) #s(literal -1 binary32)) (*.f32 alpha alpha)) |
(*.f32 (*.f32 (*.f32 (log1p.f32 u0) alpha) (*.f32 alpha (neg.f32 alpha))) (/.f32 #s(literal 1 binary32) alpha)) |
(*.f32 (*.f32 (*.f32 (log1p.f32 u0) alpha) (neg.f32 (*.f32 alpha (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
(*.f32 (*.f32 (*.f32 alpha (neg.f32 alpha)) (*.f32 (log1p.f32 u0) alpha)) (/.f32 #s(literal 1 binary32) alpha)) |
(*.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) (*.f32 (log1p.f32 u0) alpha)) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
(*.f32 (/.f32 (*.f32 (log1p.f32 u0) alpha) alpha) (/.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) alpha)) |
(*.f32 (/.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) alpha) (/.f32 (*.f32 (log1p.f32 u0) alpha) alpha)) |
(neg.f32 (*.f32 alpha alpha)) |
(+.f32 #s(literal 0 binary32) (*.f32 alpha (neg.f32 alpha))) |
(-.f32 #s(literal 0 binary32) (*.f32 alpha alpha)) |
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (*.f32 alpha alpha)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))))) |
(/.f32 #s(literal 1 binary32) (/.f32 alpha (*.f32 alpha (*.f32 alpha (neg.f32 alpha))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 alpha (neg.f32 (*.f32 alpha (*.f32 alpha alpha)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 alpha (*.f32 (*.f32 alpha (neg.f32 alpha)) alpha))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) alpha))) |
(/.f32 alpha (/.f32 #s(literal 1 binary32) (neg.f32 alpha))) |
(/.f32 (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
(/.f32 (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (*.f32 alpha alpha)) |
(/.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) alpha) |
(/.f32 (*.f32 alpha (neg.f32 (*.f32 alpha (*.f32 alpha alpha)))) (*.f32 alpha alpha)) |
(/.f32 (*.f32 (*.f32 alpha (neg.f32 alpha)) alpha) alpha) |
(/.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) alpha) (*.f32 alpha alpha)) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))))) (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (*.f32 alpha (neg.f32 alpha))) |
(/.f32 (neg.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha)))) (neg.f32 alpha)) |
(/.f32 (neg.f32 (*.f32 alpha (neg.f32 (*.f32 alpha (*.f32 alpha alpha))))) (*.f32 alpha (neg.f32 alpha))) |
(/.f32 (neg.f32 (*.f32 (*.f32 alpha (neg.f32 alpha)) alpha)) (neg.f32 alpha)) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) alpha)) (*.f32 alpha (neg.f32 alpha))) |
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 alpha (neg.f32 alpha)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (*.f32 alpha (neg.f32 alpha)) (*.f32 alpha (neg.f32 alpha))) (*.f32 #s(literal 0 binary32) (*.f32 alpha (neg.f32 alpha)))))) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 alpha (neg.f32 alpha)) (*.f32 alpha (neg.f32 alpha)))) (*.f32 alpha alpha)) |
(*.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) alpha)) |
(*.f32 alpha (neg.f32 alpha)) |
(*.f32 (neg.f32 alpha) alpha) |
(*.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) |
(*.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
(*.f32 (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) |
(*.f32 (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
(*.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) (/.f32 #s(literal 1 binary32) alpha)) |
(*.f32 (*.f32 alpha (neg.f32 (*.f32 alpha (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
(*.f32 (*.f32 (*.f32 alpha (neg.f32 alpha)) alpha) (/.f32 #s(literal 1 binary32) alpha)) |
(*.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) alpha) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
(*.f32 (/.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) alpha) #s(literal 1 binary32)) |
(neg.f32 alpha) |
(+.f32 (neg.f32 alpha) #s(literal 0 binary32)) |
(+.f32 #s(literal 0 binary32) (neg.f32 alpha)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 alpha)) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (neg.f32 alpha) #s(literal 0 binary32)) |
(fma.f32 alpha #s(literal -1 binary32) #s(literal 0 binary32)) |
(fma.f32 (neg.f32 alpha) #s(literal 1 binary32) #s(literal 0 binary32)) |
(fma.f32 (*.f32 alpha (neg.f32 alpha)) (/.f32 #s(literal 1 binary32) alpha) #s(literal 0 binary32)) |
(fma.f32 #s(literal -1 binary32) alpha #s(literal 0 binary32)) |
(fma.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1 binary32) (neg.f32 alpha)) #s(literal 0 binary32)) |
(fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) (*.f32 alpha (neg.f32 alpha))) #s(literal 0 binary32)) |
(fma.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) #s(literal 0 binary32)) |
(-.f32 #s(literal 0 binary32) alpha) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 alpha))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 alpha)) #s(literal 1 binary32))) |
(/.f32 (*.f32 alpha (neg.f32 alpha)) alpha) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 alpha)))) |
(/.f32 (*.f32 alpha alpha) (neg.f32 alpha)) |
(/.f32 (*.f32 alpha alpha) (-.f32 (neg.f32 alpha) #s(literal 0 binary32))) |
(/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) |
(/.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha alpha)) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha alpha)))) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
(/.f32 (fma.f32 (neg.f32 alpha) (*.f32 alpha alpha) #s(literal 0 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 alpha) #s(literal 0 binary32))))) |
(*.f32 #s(literal 1 binary32) (neg.f32 alpha)) |
(*.f32 alpha #s(literal -1 binary32)) |
(*.f32 (neg.f32 alpha) #s(literal 1 binary32)) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (/.f32 #s(literal 1 binary32) alpha)) |
(*.f32 #s(literal -1 binary32) alpha) |
(*.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1 binary32) (neg.f32 alpha))) |
(*.f32 (*.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) (*.f32 alpha (neg.f32 alpha)))) |
(*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
| 1× | egg-herbie |
| 16 992× | lower-fma.f64 |
| 16 992× | lower-fma.f32 |
| 4 436× | lower-*.f64 |
| 4 436× | lower-*.f32 |
| 1 926× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 562 |
| 1 | 307 | 535 |
| 2 | 805 | 502 |
| 3 | 2108 | 490 |
| 4 | 5927 | 483 |
| 0 | 8142 | 455 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 u0) |
(* u0 (- (* -1/2 u0) 1)) |
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)) |
(* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)) |
(+ (log -1) (* -1 (log (/ 1 u0)))) |
(- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0)) |
(+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0)) |
(* -1 (log (/ -1 u0))) |
(- (* -1 (log (/ -1 u0))) (/ 1 u0)) |
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))) |
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* (pow alpha 2) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))) |
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0)) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))) |
(* (pow alpha 2) (log (/ -1 u0))) |
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0)) |
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
| Outputs |
|---|
(* -1 u0) |
(neg.f32 u0) |
(* u0 (- (* -1/2 u0) 1)) |
(*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) |
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)) |
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
(* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)) |
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
(+ (log -1) (* -1 (log (/ 1 u0)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) |
(- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0)) |
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u0) (/.f32 #s(literal -1 binary32) u0))) |
(+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))) |
(+.f32 (log.f32 u0) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0)) u0))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0)) |
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u0) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u0)) u0)) u0))) |
(* -1 (log (/ -1 u0))) |
(log.f32 (neg.f32 u0)) |
(- (* -1 (log (/ -1 u0))) (/ 1 u0)) |
(+.f32 (log.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) u0)) |
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))) |
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0)) u0) (log.f32 (neg.f32 u0))) |
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0))) |
(+.f32 (log.f32 (neg.f32 u0)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u0)) u0)) u0)) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) |
(*.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0)) |
(*.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) alpha))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))) |
(fma.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (*.f32 alpha (neg.f32 alpha)) (/.f32 (*.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 alpha u0) alpha)) u0)) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))) |
(neg.f32 (fma.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (*.f32 alpha alpha) (*.f32 (/.f32 (*.f32 alpha alpha) u0) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u0)) u0))))) |
(* (pow alpha 2) (log (/ -1 u0))) |
(*.f32 (log.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0)) |
(*.f32 alpha (fma.f32 (log.f32 (neg.f32 u0)) (neg.f32 alpha) (/.f32 alpha u0))) |
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(fma.f32 (log.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha)) (/.f32 (*.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 alpha u0) alpha)) u0)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(neg.f32 (fma.f32 (/.f32 (*.f32 alpha alpha) u0) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u0)) u0)) (*.f32 (log.f32 (neg.f32 u0)) (*.f32 alpha alpha)))) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
Compiled 4 851 to 733 computations (84.9% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 225 | 19 | 244 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 225 | 20 | 245 |
| Status | Accuracy | Program |
|---|---|---|
| 58.4% | (*.f32 (/.f32 alpha (/.f32 #s(literal 1 binary32) (neg.f32 alpha))) (log.f32 (-.f32 #s(literal 1 binary32) u0))) | |
| 82.1% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))))))) | |
| 82.3% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 2 binary32)) (*.f32 (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0))) (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0))))) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0)))))) | |
| 68.0% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0)))) (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32)))))) | |
| ▶ | 82.4% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))) |
| 56.0% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 u0) (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))) (log1p.f32 (*.f32 u0 u0)))) | |
| ▶ | 48.9% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) |
| 49.7% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) u0))) (log1p.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 u0 #s(literal 1 binary32)))))) | |
| 54.0% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))) (/.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (log.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) u0)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) u0)))))))) | |
| 54.2% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 u0 u0)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) | |
| 68.0% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0))))))) | |
| 91.6% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) | |
| 89.3% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) | |
| 85.2% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) | |
| ▶ | 98.9% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
| ✓ | 58.4% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 85.2% | (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) | |
| 91.8% | (*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) | |
| ▶ | 89.3% | (*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) |
| ▶ | 72.8% | (*.f32 u0 (*.f32 alpha alpha)) |
Compiled 1 077 to 524 computations (51.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f32 alpha) |
| ✓ | cost-diff | 0 | (*.f32 (neg.f32 alpha) alpha) |
| ✓ | cost-diff | 64 | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) |
| ✓ | cost-diff | 0 | (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))) |
| ✓ | cost-diff | 0 | (neg.f32 alpha) |
| ✓ | cost-diff | 0 | (*.f32 (neg.f32 alpha) alpha) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))) |
| ✓ | cost-diff | 0 | (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) |
| ✓ | cost-diff | 160 | (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)) |
| ✓ | cost-diff | 0 | (*.f32 alpha alpha) |
| ✓ | cost-diff | 0 | (*.f32 u0 (*.f32 alpha alpha)) |
| ✓ | cost-diff | 0 | (log1p.f32 (neg.f32 u0)) |
| ✓ | cost-diff | 0 | (neg.f32 alpha) |
| ✓ | cost-diff | 0 | (*.f32 (neg.f32 alpha) alpha) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
| 6 726× | lower-fma.f64 |
| 6 720× | lower-fma.f32 |
| 3 656× | lower-*.f64 |
| 3 632× | lower-*.f32 |
| 1 398× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 303 |
| 0 | 61 | 263 |
| 1 | 125 | 239 |
| 2 | 298 | 237 |
| 3 | 804 | 237 |
| 4 | 1691 | 235 |
| 5 | 2675 | 235 |
| 6 | 3860 | 235 |
| 7 | 7190 | 235 |
| 0 | 8060 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (neg.f32 alpha) alpha) |
(neg.f32 alpha) |
alpha |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 u0) |
u0 |
(*.f32 u0 (*.f32 alpha alpha)) |
u0 |
(*.f32 alpha alpha) |
alpha |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) |
u0 |
(fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)) |
(*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
alpha |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
#s(literal 1/3 binary32) |
#s(literal 1/2 binary32) |
(*.f32 alpha alpha) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))) |
(*.f32 (neg.f32 alpha) alpha) |
(neg.f32 alpha) |
alpha |
(-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))) |
(log1p.f32 (*.f32 u0 (*.f32 u0 u0))) |
(*.f32 u0 (*.f32 u0 u0)) |
u0 |
(*.f32 u0 u0) |
(log1p.f32 (fma.f32 u0 u0 u0)) |
(fma.f32 u0 u0 u0) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) |
(*.f32 (neg.f32 alpha) alpha) |
(neg.f32 alpha) |
alpha |
(-.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))) |
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) |
#s(literal 1 binary32) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) |
(*.f32 u0 (*.f32 u0 u0)) |
u0 |
(*.f32 u0 u0) |
(+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) |
(fma.f32 u0 u0 u0) |
(log1p.f32 (*.f32 u0 (*.f32 u0 u0))) |
| Outputs |
|---|
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(*.f32 (neg.f32 alpha) alpha) |
(*.f32 alpha (neg.f32 alpha)) |
(neg.f32 alpha) |
alpha |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 u0) |
u0 |
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 alpha (*.f32 alpha u0)) |
u0 |
(*.f32 alpha alpha) |
alpha |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) |
(*.f32 alpha (*.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0))) |
u0 |
(fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)) |
(*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) |
(*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
alpha |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
#s(literal 1/3 binary32) |
#s(literal 1/2 binary32) |
(*.f32 alpha alpha) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))) |
(*.f32 (*.f32 alpha alpha) (-.f32 (log1p.f32 (fma.f32 u0 u0 u0)) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) |
(*.f32 (neg.f32 alpha) alpha) |
(*.f32 alpha (neg.f32 alpha)) |
(neg.f32 alpha) |
alpha |
(-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))) |
(log1p.f32 (*.f32 u0 (*.f32 u0 u0))) |
(*.f32 u0 (*.f32 u0 u0)) |
u0 |
(*.f32 u0 u0) |
(log1p.f32 (fma.f32 u0 u0 u0)) |
(fma.f32 u0 u0 u0) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log.f32 (/.f32 (fma.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)) #s(literal 1 binary32)) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32)))))) |
(*.f32 (neg.f32 alpha) alpha) |
(*.f32 alpha (neg.f32 alpha)) |
(neg.f32 alpha) |
alpha |
(-.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))) |
(-.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)) #s(literal 1 binary32)) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32)))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))) |
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) |
(log.f32 (/.f32 (fma.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)) #s(literal 1 binary32)) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32)))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))) |
(/.f32 (fma.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)) #s(literal 1 binary32)) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) |
(fma.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) |
(*.f32 u0 (*.f32 u0 u0)) |
u0 |
(*.f32 u0 u0) |
(+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) |
(+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32)) |
(fma.f32 u0 u0 u0) |
(log1p.f32 (*.f32 u0 (*.f32 u0 u0))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) |
| ✓ | accuracy | 98.6% | (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))) |
| ✓ | accuracy | 58.2% | (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) |
| ✓ | accuracy | 99.6% | (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))) |
| ✓ | accuracy | 99.2% | (*.f32 u0 (*.f32 u0 u0)) |
| ✓ | accuracy | 99.0% | (log1p.f32 (fma.f32 u0 u0 u0)) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))) |
| ✓ | accuracy | 99.3% | (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)) |
| ✓ | accuracy | 99.3% | (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
| ✓ | accuracy | 99.3% | (*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) |
| ✓ | accuracy | 99.0% | (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 99.3% | (*.f32 u0 (*.f32 alpha alpha)) |
| ✓ | accuracy | 100.0% | (neg.f32 u0) |
| ✓ | accuracy | 100.0% | (neg.f32 alpha) |
| ✓ | accuracy | 100.0% | (log1p.f32 (neg.f32 u0)) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
| 88.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 344 to 35 computations (89.8% saved)
ival-mult: 21.0ms (28.7% of total)ival-div: 17.0ms (23.3% of total)ival-log1p: 15.0ms (20.5% of total)ival-add: 6.0ms (8.2% of total)ival-log: 5.0ms (6.8% of total)const: 4.0ms (5.5% of total)ival-neg: 2.0ms (2.7% of total)ival-sub: 2.0ms (2.7% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))> |
#<alt (*.f32 (neg.f32 alpha) alpha)> |
#<alt (neg.f32 alpha)> |
#<alt (log1p.f32 (neg.f32 u0))> |
#<alt (*.f32 u0 (*.f32 alpha alpha))> |
#<alt (*.f32 alpha alpha)> |
#<alt (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))> |
#<alt (*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))> |
#<alt (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))> |
#<alt (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))> |
#<alt (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))))> |
#<alt (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))> |
#<alt (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))))> |
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))))> |
#<alt (neg.f32 u0)> |
#<alt (log1p.f32 (fma.f32 u0 u0 u0))> |
#<alt (*.f32 u0 (*.f32 u0 u0))> |
#<alt (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))> |
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))> |
#<alt (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))> |
| Outputs |
|---|
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))> |
#<alt (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))> |
#<alt (* (pow alpha 2) (log (/ -1 u0)))> |
#<alt (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))> |
#<alt (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 u0)> |
#<alt (* u0 (- (* -1/2 u0) 1))> |
#<alt (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))> |
#<alt (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))> |
#<alt (+ (log -1) (* -1 (log (/ 1 u0))))> |
#<alt (- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))> |
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))> |
#<alt (* -1 (log (/ -1 u0)))> |
#<alt (- (* -1 (log (/ -1 u0))) (/ 1 u0))> |
#<alt (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))> |
#<alt (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))> |
#<alt (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))> |
#<alt (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))> |
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))> |
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))> |
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))> |
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))> |
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))> |
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))> |
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))> |
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))> |
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (+ 1/2 (* 1/3 u0)))> |
#<alt (* (pow alpha 2) (+ 1/2 (* 1/3 u0)))> |
#<alt (* (pow alpha 2) (+ 1/2 (* 1/3 u0)))> |
#<alt (* (pow alpha 2) (+ 1/2 (* 1/3 u0)))> |
#<alt (* (pow alpha 2) (+ 1/2 (* 1/3 u0)))> |
#<alt (* (pow alpha 2) (+ 1/2 (* 1/3 u0)))> |
#<alt (* (pow alpha 2) (+ 1/2 (* 1/3 u0)))> |
#<alt (* (pow alpha 2) (+ 1/2 (* 1/3 u0)))> |
#<alt (* (pow alpha 2) (+ 1/2 (* 1/3 u0)))> |
#<alt (* (pow alpha 2) (+ 1/2 (* 1/3 u0)))> |
#<alt (* (pow alpha 2) (+ 1/2 (* 1/3 u0)))> |
#<alt (* (pow alpha 2) (+ 1/2 (* 1/3 u0)))> |
#<alt (* 1/2 (pow alpha 2))> |
#<alt (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))> |
#<alt (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))> |
#<alt (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))> |
#<alt (* 1/3 (* (pow alpha 2) u0))> |
#<alt (* u0 (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* u0 (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* u0 (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* 1/3 (* (pow alpha 2) u0))> |
#<alt (* -1 (* u0 (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))> |
#<alt (* -1 (* u0 (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))> |
#<alt (* -1 (* u0 (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))> |
#<alt (* alpha (+ 1/2 (* 1/3 u0)))> |
#<alt (* alpha (+ 1/2 (* 1/3 u0)))> |
#<alt (* alpha (+ 1/2 (* 1/3 u0)))> |
#<alt (* alpha (+ 1/2 (* 1/3 u0)))> |
#<alt (* alpha (+ 1/2 (* 1/3 u0)))> |
#<alt (* alpha (+ 1/2 (* 1/3 u0)))> |
#<alt (* alpha (+ 1/2 (* 1/3 u0)))> |
#<alt (* alpha (+ 1/2 (* 1/3 u0)))> |
#<alt (* alpha (+ 1/2 (* 1/3 u0)))> |
#<alt (* alpha (+ 1/2 (* 1/3 u0)))> |
#<alt (* alpha (+ 1/2 (* 1/3 u0)))> |
#<alt (* alpha (+ 1/2 (* 1/3 u0)))> |
#<alt (* 1/2 alpha)> |
#<alt (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))> |
#<alt (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))> |
#<alt (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))> |
#<alt (* 1/3 (* alpha u0))> |
#<alt (* u0 (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))> |
#<alt (* u0 (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))> |
#<alt (* u0 (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))> |
#<alt (* 1/3 (* alpha u0))> |
#<alt (* -1 (* u0 (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha))))> |
#<alt (* -1 (* u0 (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha))))> |
#<alt (* -1 (* u0 (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* -5/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* -5/3 (pow alpha 2)) (* 1/4 (* (pow alpha 2) u0)))))) (pow alpha 2)))> |
#<alt (* -1 (* (pow alpha 2) (- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0))))))> |
#<alt (+ (* -1 (* (pow alpha 2) (- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))> |
#<alt (+ (* -1 (* (pow alpha 2) (- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))> |
#<alt (+ (* -5/3 (/ (pow alpha 2) (pow u0 3))) (+ (* -1 (* (pow alpha 2) (- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))> |
#<alt (* -1 (* (pow alpha 2) (- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0))))))> |
#<alt (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0)))))) (/ (pow alpha 2) u0))> |
#<alt (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0)))))) (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)))> |
#<alt (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)))> |
#<alt (* -1 u0)> |
#<alt (* u0 (- (* -1/2 u0) 1))> |
#<alt (* u0 (- (* u0 (- (* 5/3 u0) 1/2)) 1))> |
#<alt (* u0 (- (* u0 (- (* u0 (+ 5/3 (* -1/4 u0))) 1/2)) 1))> |
#<alt (- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0))))> |
#<alt (- (* -3 (log (/ 1 u0))) (+ (* -2 (log (/ 1 u0))) (/ 1 u0)))> |
#<alt (- (+ (* -3 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))) (* -2 (log (/ 1 u0))))> |
#<alt (- (+ (* -3 (log (/ 1 u0))) (* 5/3 (/ 1 (pow u0 3)))) (+ (* -2 (log (/ 1 u0))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0))))> |
#<alt (- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0))))> |
#<alt (- (+ (log -1) (* -3 (log (/ -1 u0)))) (+ (* -2 (log (/ -1 u0))) (/ 1 u0)))> |
#<alt (- (+ (log -1) (+ (* -3 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))) (* -2 (log (/ -1 u0))))> |
#<alt (- (+ (log -1) (+ (* -3 (log (/ -1 u0))) (* -1 (/ (+ 1 (* -1 (/ (- (* 5/3 (/ 1 u0)) 1/2) u0))) u0)))) (* -2 (log (/ -1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3))))))> |
#<alt (* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3))))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))> |
#<alt (* -1 (* (pow alpha 2) (- (* -4 (log (/ 1 u0))) (* -3 (log (/ 1 u0))))))> |
#<alt (+ (* -1 (* (pow alpha 2) (- (* -4 (log (/ 1 u0))) (* -3 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))> |
#<alt (+ (* -1 (* (pow alpha 2) (- (* -4 (log (/ 1 u0))) (* -3 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))> |
#<alt (+ (* -1 (* (pow alpha 2) (- (* -4 (log (/ 1 u0))) (* -3 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))> |
#<alt (* -1 (* (pow alpha 2) (- (* -4 (log (/ -1 u0))) (+ (log -1) (* -3 (log (/ -1 u0)))))))> |
#<alt (+ (* -1 (* (pow alpha 2) (- (* -4 (log (/ -1 u0))) (+ (log -1) (* -3 (log (/ -1 u0))))))) (/ (pow alpha 2) u0))> |
#<alt (+ (* -1 (* (pow alpha 2) (- (* -4 (log (/ -1 u0))) (+ (log -1) (* -3 (log (/ -1 u0))))))) (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)))> |
#<alt (+ (* -1 (* (pow alpha 2) (- (* -4 (log (/ -1 u0))) (+ (log -1) (* -3 (log (/ -1 u0))))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)))> |
#<alt 1> |
#<alt (+ 1 (pow u0 6))> |
#<alt (+ 1 (pow u0 6))> |
#<alt (+ 1 (pow u0 6))> |
#<alt (pow u0 6)> |
#<alt (* (pow u0 6) (+ 1 (/ 1 (pow u0 6))))> |
#<alt (* (pow u0 6) (+ 1 (/ 1 (pow u0 6))))> |
#<alt (* (pow u0 6) (+ 1 (/ 1 (pow u0 6))))> |
#<alt (pow u0 6)> |
#<alt (* (pow u0 6) (+ 1 (/ 1 (pow u0 6))))> |
#<alt (* (pow u0 6) (+ 1 (/ 1 (pow u0 6))))> |
#<alt (* (pow u0 6) (+ 1 (/ 1 (pow u0 6))))> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt u0> |
#<alt (* u0 (+ 1 (* 1/2 u0)))> |
#<alt (* u0 (+ 1 (* u0 (+ 1/2 (* -2/3 u0)))))> |
#<alt (* u0 (+ 1 (* u0 (+ 1/2 (* u0 (- (* 1/4 u0) 2/3))))))> |
#<alt (* -2 (log (/ 1 u0)))> |
#<alt (+ (* -2 (log (/ 1 u0))) (/ 1 u0))> |
#<alt (+ (* -2 (log (/ 1 u0))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0)))> |
#<alt (- (+ (* -2 (log (/ 1 u0))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0))) (* 2/3 (/ 1 (pow u0 3))))> |
#<alt (* -2 (log (/ -1 u0)))> |
#<alt (+ (* -2 (log (/ -1 u0))) (/ 1 u0))> |
#<alt (+ (* -2 (log (/ -1 u0))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0)))> |
#<alt (+ (* -2 (log (/ -1 u0))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u0))) u0)) 1) u0)))> |
#<alt (pow u0 3)> |
#<alt (pow u0 3)> |
#<alt (pow u0 3)> |
#<alt (pow u0 3)> |
#<alt (pow u0 3)> |
#<alt (pow u0 3)> |
#<alt (pow u0 3)> |
#<alt (pow u0 3)> |
#<alt (pow u0 3)> |
#<alt (pow u0 3)> |
#<alt (pow u0 3)> |
#<alt (pow u0 3)> |
#<alt (* -1 u0)> |
#<alt (* u0 (- (* -1/2 u0) 1))> |
#<alt (* u0 (- (* u0 (- (* 2/3 u0) 1/2)) 1))> |
#<alt (* u0 (- (* u0 (- (* u0 (+ 2/3 (* -1/4 u0))) 1/2)) 1))> |
#<alt (* -4 (log (/ 1 u0)))> |
#<alt (- (* -4 (log (/ 1 u0))) (/ 1 u0))> |
#<alt (+ (* -4 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))> |
#<alt (- (+ (* -4 (log (/ 1 u0))) (* 2/3 (/ 1 (pow u0 3)))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0)))> |
#<alt (* -4 (log (/ -1 u0)))> |
#<alt (- (* -4 (log (/ -1 u0))) (/ 1 u0))> |
#<alt (+ (* -4 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))> |
#<alt (+ (* -4 (log (/ -1 u0))) (* -1 (/ (+ 1 (* -1 (/ (- (* 2/3 (/ 1 u0)) 1/2) u0))) u0)))> |
#<alt 1> |
#<alt (+ 1 (* -1 u0))> |
#<alt (+ 1 (* u0 (- (pow u0 2) 1)))> |
#<alt (+ 1 (* u0 (- (* (pow u0 2) (+ 1 (* -1 u0))) 1)))> |
#<alt (pow u0 4)> |
#<alt (* (pow u0 4) (- 1 (/ 1 u0)))> |
#<alt (* (pow u0 4) (- (+ 1 (/ 1 (pow u0 3))) (/ 1 u0)))> |
#<alt (* (pow u0 4) (- (+ 1 (/ 1 (pow u0 3))) (+ (/ 1 u0) (/ 1 (pow u0 4)))))> |
#<alt (pow u0 4)> |
#<alt (* (pow u0 4) (- 1 (/ 1 u0)))> |
#<alt (* (pow u0 4) (+ 1 (* -1 (/ (- 1 (/ 1 (pow u0 2))) u0))))> |
#<alt (* (pow u0 4) (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow u0 3))) (/ 1 (pow u0 2))) u0))))> |
#<alt (pow u0 6)> |
#<alt (pow u0 6)> |
#<alt (pow u0 6)> |
#<alt (pow u0 6)> |
#<alt (pow u0 6)> |
#<alt (pow u0 6)> |
#<alt (pow u0 6)> |
#<alt (pow u0 6)> |
#<alt (pow u0 6)> |
#<alt (pow u0 6)> |
#<alt (pow u0 6)> |
#<alt (pow u0 6)> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | alpha | @ | 0 | (* (* (neg alpha) alpha) (- (log (/ (+ 1 (* (* u0 (* u0 u0)) (* u0 (* u0 u0)))) (+ 1 (+ (* u0 u0) u0)))) (log (+ 1 (* u0 (* u0 u0)))))) |
| 39.0ms | alpha | @ | 0 | (* (* (neg alpha) alpha) (- (log (+ 1 (* u0 (* u0 u0)))) (log (+ 1 (+ (* u0 u0) u0))))) |
| 4.0ms | alpha | @ | -inf | (* alpha (+ (* u0 1/3) 1/2)) |
| 1.0ms | u0 | @ | inf | (* (* (neg alpha) alpha) (- (log (+ 1 (* u0 (* u0 u0)))) (log (+ 1 (+ (* u0 u0) u0))))) |
| 1.0ms | alpha | @ | 0 | (+ (* u0 (* alpha (* alpha (+ (* u0 1/3) 1/2)))) (* alpha alpha)) |
| 1× | batch-egg-rewrite |
| 4 836× | lower-fma.f64 |
| 4 830× | lower-fma.f32 |
| 3 804× | lower-/.f64 |
| 3 802× | lower-/.f32 |
| 3 328× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 206 |
| 0 | 61 | 136 |
| 1 | 239 | 128 |
| 2 | 1793 | 128 |
| 0 | 8653 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (neg.f32 alpha) alpha) |
(neg.f32 alpha) |
(log1p.f32 (neg.f32 u0)) |
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)) |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) |
(*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))) |
(-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) |
(neg.f32 u0) |
(log1p.f32 (fma.f32 u0 u0 u0)) |
(*.f32 u0 (*.f32 u0 u0)) |
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) |
| Outputs |
|---|
(neg.f32 (*.f32 alpha (*.f32 alpha (log1p.f32 u0)))) |
(neg.f32 (*.f32 (*.f32 alpha alpha) (log1p.f32 u0))) |
(neg.f32 (*.f32 (log1p.f32 u0) (*.f32 alpha alpha))) |
(+.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0))))) |
(+.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (log.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))))) |
(+.f32 (*.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (neg.f32 (*.f32 alpha alpha))) (*.f32 (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0))) (neg.f32 (*.f32 alpha alpha)))) |
(+.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (neg.f32 (*.f32 alpha alpha))) (*.f32 (neg.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))) (neg.f32 (*.f32 alpha alpha)))) |
(fma.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0))))) |
(fma.f32 (neg.f32 (*.f32 alpha alpha)) (log.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))))) |
(fma.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (neg.f32 (*.f32 alpha alpha)) (*.f32 (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0))) (neg.f32 (*.f32 alpha alpha)))) |
(fma.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (neg.f32 (*.f32 alpha alpha)) (*.f32 (neg.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))) (neg.f32 (*.f32 alpha alpha)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log.f32 (*.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (pow.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) #s(literal 2 binary32))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (-.f32 (pow.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (*.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (*.f32 (log.f32 (*.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (log1p.f32 u0))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log.f32 (*.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (pow.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) #s(literal 2 binary32))) (*.f32 (-.f32 (pow.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32))) (neg.f32 (*.f32 alpha alpha))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (*.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (*.f32 (*.f32 (log.f32 (*.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (log1p.f32 u0)) (neg.f32 (*.f32 alpha alpha))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log1p.f32 (fma.f32 u0 u0 u0)) (log.f32 (*.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 2 binary32))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (*.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (*.f32 (log.f32 (*.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (log1p.f32 u0))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log1p.f32 (fma.f32 u0 u0 u0)) (log.f32 (*.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 2 binary32))) (*.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32))) (neg.f32 (*.f32 alpha alpha))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (*.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (*.f32 (*.f32 (log.f32 (*.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (log1p.f32 u0)) (neg.f32 (*.f32 alpha alpha))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32)))) (fma.f32 (log1p.f32 (fma.f32 u0 u0 u0)) (log.f32 (*.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 2 binary32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (*.f32 (log.f32 (*.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (log1p.f32 u0))) (log.f32 (*.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (-.f32 (pow.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)))) (fma.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log.f32 (*.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (pow.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) #s(literal 2 binary32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (*.f32 (log.f32 (*.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (log1p.f32 u0))) (log.f32 (*.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32))) (neg.f32 (*.f32 alpha alpha))) (fma.f32 (log1p.f32 (fma.f32 u0 u0 u0)) (log.f32 (*.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 2 binary32)))) |
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(*.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (fma.f32 (fma.f32 u0 u0 u0) (*.f32 (fma.f32 u0 u0 u0) (fma.f32 u0 u0 u0)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u0 u0 u0) (-.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (fma.f32 (fma.f32 u0 u0 u0) (*.f32 (fma.f32 u0 u0 u0) (fma.f32 u0 u0 u0)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u0 u0 u0) (-.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u0 u0 u0) (fma.f32 u0 u0 u0)))) (-.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))) |
(*.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u0 u0 u0) (fma.f32 u0 u0 u0)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) |
(*.f32 (pow.f32 (/.f32 (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))) (fma.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))))) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (-.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(*.f32 (pow.f32 (/.f32 (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 u0) (*.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (fma.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))))) #s(literal 1 binary32)) (fma.f32 (fma.f32 u0 u0 u0) (*.f32 (fma.f32 u0 u0 u0) (fma.f32 u0 u0 u0)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (-.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u0 u0 u0) (-.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u0 u0 u0) (fma.f32 u0 u0 u0)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (-.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) |
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 u0) (*.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))))) (fma.f32 (fma.f32 u0 u0 u0) (*.f32 (fma.f32 u0 u0 u0) (fma.f32 u0 u0 u0)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u0 u0 u0) (-.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 u0) (*.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u0 u0 u0) (fma.f32 u0 u0 u0)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) |
(neg.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))) |
(neg.f32 (pow.f32 (*.f32 u0 (neg.f32 u0)) #s(literal 3 binary32))) |
(exp.f32 (*.f32 #s(literal 6 binary32) (log.f32 u0))) |
(exp.f32 (*.f32 (log.f32 u0) #s(literal 6 binary32))) |
(exp.f32 (fma.f32 (log.f32 (neg.f32 u0)) #s(literal 3 binary32) (*.f32 (log.f32 (neg.f32 u0)) #s(literal 3 binary32)))) |
(exp.f32 (fma.f32 (log.f32 (neg.f32 u0)) #s(literal 3 binary32) (*.f32 #s(literal 3 binary32) (log.f32 u0)))) |
(pow.f32 u0 #s(literal 6 binary32)) |
(pow.f32 (neg.f32 u0) #s(literal 6 binary32)) |
(pow.f32 (*.f32 u0 u0) #s(literal 3 binary32)) |
(pow.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) #s(literal 1 binary32)) |
(pow.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3/2 binary32)) |
(pow.f32 (*.f32 (neg.f32 u0) u0) #s(literal 3 binary32)) |
(*.f32 u0 (*.f32 u0 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))) |
(*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) |
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))) |
(*.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) #s(literal 1 binary32)) |
(*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) (*.f32 u0 u0)) |
(*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u0 (neg.f32 u0)) #s(literal 3 binary32))) |
(*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) u0) |
(*.f32 (*.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))) |
(*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) |
(*.f32 (pow.f32 (*.f32 (neg.f32 u0) #s(literal -1 binary32)) #s(literal 3 binary32)) (*.f32 u0 (*.f32 u0 u0))) |
| 1× | egg-herbie |
| 16 686× | lower-fma.f64 |
| 16 686× | lower-fma.f32 |
| 5 478× | lower-+.f64 |
| 5 478× | lower-+.f32 |
| 4 502× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 361 | 3887 |
| 1 | 1112 | 3542 |
| 2 | 3160 | 3318 |
| 0 | 8148 | 3050 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* (pow alpha 2) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))) |
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0)) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))) |
(* (pow alpha 2) (log (/ -1 u0))) |
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0)) |
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 u0) |
(* u0 (- (* -1/2 u0) 1)) |
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)) |
(* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)) |
(+ (log -1) (* -1 (log (/ 1 u0)))) |
(- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0)) |
(+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0)) |
(* -1 (log (/ -1 u0))) |
(- (* -1 (log (/ -1 u0))) (/ 1 u0)) |
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))) |
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0))) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) |
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) |
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) |
(* 1/3 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))) |
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))) |
(* 1/3 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2)))) |
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2)))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* 1/3 (* (pow alpha 2) (pow u0 3))) |
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))) |
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))) |
(* 1/3 (* (pow alpha 2) (pow u0 3))) |
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (+ 1/2 (* 1/3 u0))) |
(* (pow alpha 2) (+ 1/2 (* 1/3 u0))) |
(* (pow alpha 2) (+ 1/2 (* 1/3 u0))) |
(* (pow alpha 2) (+ 1/2 (* 1/3 u0))) |
(* (pow alpha 2) (+ 1/2 (* 1/3 u0))) |
(* (pow alpha 2) (+ 1/2 (* 1/3 u0))) |
(* (pow alpha 2) (+ 1/2 (* 1/3 u0))) |
(* (pow alpha 2) (+ 1/2 (* 1/3 u0))) |
(* (pow alpha 2) (+ 1/2 (* 1/3 u0))) |
(* (pow alpha 2) (+ 1/2 (* 1/3 u0))) |
(* (pow alpha 2) (+ 1/2 (* 1/3 u0))) |
(* (pow alpha 2) (+ 1/2 (* 1/3 u0))) |
(* 1/2 (pow alpha 2)) |
(+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) |
(+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) |
(+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) |
(* 1/3 (* (pow alpha 2) u0)) |
(* u0 (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* u0 (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* u0 (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* 1/3 (* (pow alpha 2) u0)) |
(* -1 (* u0 (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))))) |
(* -1 (* u0 (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))))) |
(* -1 (* u0 (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(* 1/2 alpha) |
(+ (* 1/3 (* alpha u0)) (* 1/2 alpha)) |
(+ (* 1/3 (* alpha u0)) (* 1/2 alpha)) |
(+ (* 1/3 (* alpha u0)) (* 1/2 alpha)) |
(* 1/3 (* alpha u0)) |
(* u0 (+ (* 1/3 alpha) (* 1/2 (/ alpha u0)))) |
(* u0 (+ (* 1/3 alpha) (* 1/2 (/ alpha u0)))) |
(* u0 (+ (* 1/3 alpha) (* 1/2 (/ alpha u0)))) |
(* 1/3 (* alpha u0)) |
(* -1 (* u0 (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha)))) |
(* -1 (* u0 (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha)))) |
(* -1 (* u0 (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha)))) |
(* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2))))))) |
(* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2))))))) |
(* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2))))))) |
(* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2))))))) |
(* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2))))))) |
(* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2))))))) |
(* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2))))))) |
(* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2))))))) |
(* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2))))))) |
(* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2))))))) |
(* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2))))))) |
(* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2))))))) |
(* (pow alpha 2) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* -5/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* -5/3 (pow alpha 2)) (* 1/4 (* (pow alpha 2) u0)))))) (pow alpha 2))) |
(* -1 (* (pow alpha 2) (- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0)))))) |
(+ (* -1 (* (pow alpha 2) (- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0)))))) (/ (pow alpha 2) u0)) |
(+ (* -1 (* (pow alpha 2) (- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))) |
(+ (* -5/3 (/ (pow alpha 2) (pow u0 3))) (+ (* -1 (* (pow alpha 2) (- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))) |
(* -1 (* (pow alpha 2) (- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0)))))) |
(+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0)))))) (/ (pow alpha 2) u0)) |
(+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0)))))) (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0))) |
(+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0))) |
(* -1 u0) |
(* u0 (- (* -1/2 u0) 1)) |
(* u0 (- (* u0 (- (* 5/3 u0) 1/2)) 1)) |
(* u0 (- (* u0 (- (* u0 (+ 5/3 (* -1/4 u0))) 1/2)) 1)) |
(- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0)))) |
(- (* -3 (log (/ 1 u0))) (+ (* -2 (log (/ 1 u0))) (/ 1 u0))) |
(- (+ (* -3 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))) (* -2 (log (/ 1 u0)))) |
(- (+ (* -3 (log (/ 1 u0))) (* 5/3 (/ 1 (pow u0 3)))) (+ (* -2 (log (/ 1 u0))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0)))) |
(- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0)))) |
(- (+ (log -1) (* -3 (log (/ -1 u0)))) (+ (* -2 (log (/ -1 u0))) (/ 1 u0))) |
(- (+ (log -1) (+ (* -3 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))) (* -2 (log (/ -1 u0)))) |
(- (+ (log -1) (+ (* -3 (log (/ -1 u0))) (* -1 (/ (+ 1 (* -1 (/ (- (* 5/3 (/ 1 u0)) 1/2) u0))) u0)))) (* -2 (log (/ -1 u0)))) |
(* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3)))))) |
(* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3)))))) |
(* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3)))))) |
(* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3)))))) |
(* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3)))))) |
(* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3)))))) |
(* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3)))))) |
(* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3)))))) |
(* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3)))))) |
(* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3)))))) |
(* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3)))))) |
(* -1 (* (pow alpha 2) (- (log (/ (+ 1 (pow u0 6)) (+ 1 (+ u0 (pow u0 2))))) (log (+ 1 (pow u0 3)))))) |
(* (pow alpha 2) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))) |
(* -1 (* (pow alpha 2) (- (* -4 (log (/ 1 u0))) (* -3 (log (/ 1 u0)))))) |
(+ (* -1 (* (pow alpha 2) (- (* -4 (log (/ 1 u0))) (* -3 (log (/ 1 u0)))))) (/ (pow alpha 2) u0)) |
(+ (* -1 (* (pow alpha 2) (- (* -4 (log (/ 1 u0))) (* -3 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))) |
(+ (* -1 (* (pow alpha 2) (- (* -4 (log (/ 1 u0))) (* -3 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))) |
(* -1 (* (pow alpha 2) (- (* -4 (log (/ -1 u0))) (+ (log -1) (* -3 (log (/ -1 u0))))))) |
(+ (* -1 (* (pow alpha 2) (- (* -4 (log (/ -1 u0))) (+ (log -1) (* -3 (log (/ -1 u0))))))) (/ (pow alpha 2) u0)) |
(+ (* -1 (* (pow alpha 2) (- (* -4 (log (/ -1 u0))) (+ (log -1) (* -3 (log (/ -1 u0))))))) (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0))) |
(+ (* -1 (* (pow alpha 2) (- (* -4 (log (/ -1 u0))) (+ (log -1) (* -3 (log (/ -1 u0))))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0))) |
1 |
(+ 1 (pow u0 6)) |
(+ 1 (pow u0 6)) |
(+ 1 (pow u0 6)) |
(pow u0 6) |
(* (pow u0 6) (+ 1 (/ 1 (pow u0 6)))) |
(* (pow u0 6) (+ 1 (/ 1 (pow u0 6)))) |
(* (pow u0 6) (+ 1 (/ 1 (pow u0 6)))) |
(pow u0 6) |
(* (pow u0 6) (+ 1 (/ 1 (pow u0 6)))) |
(* (pow u0 6) (+ 1 (/ 1 (pow u0 6)))) |
(* (pow u0 6) (+ 1 (/ 1 (pow u0 6)))) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
u0 |
(* u0 (+ 1 (* 1/2 u0))) |
(* u0 (+ 1 (* u0 (+ 1/2 (* -2/3 u0))))) |
(* u0 (+ 1 (* u0 (+ 1/2 (* u0 (- (* 1/4 u0) 2/3)))))) |
(* -2 (log (/ 1 u0))) |
(+ (* -2 (log (/ 1 u0))) (/ 1 u0)) |
(+ (* -2 (log (/ 1 u0))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0))) |
(- (+ (* -2 (log (/ 1 u0))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0))) (* 2/3 (/ 1 (pow u0 3)))) |
(* -2 (log (/ -1 u0))) |
(+ (* -2 (log (/ -1 u0))) (/ 1 u0)) |
(+ (* -2 (log (/ -1 u0))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0))) |
(+ (* -2 (log (/ -1 u0))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u0))) u0)) 1) u0))) |
(pow u0 3) |
(pow u0 3) |
(pow u0 3) |
(pow u0 3) |
(pow u0 3) |
(pow u0 3) |
(pow u0 3) |
(pow u0 3) |
(pow u0 3) |
(pow u0 3) |
(pow u0 3) |
(pow u0 3) |
(* -1 u0) |
(* u0 (- (* -1/2 u0) 1)) |
(* u0 (- (* u0 (- (* 2/3 u0) 1/2)) 1)) |
(* u0 (- (* u0 (- (* u0 (+ 2/3 (* -1/4 u0))) 1/2)) 1)) |
(* -4 (log (/ 1 u0))) |
(- (* -4 (log (/ 1 u0))) (/ 1 u0)) |
(+ (* -4 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))) |
(- (+ (* -4 (log (/ 1 u0))) (* 2/3 (/ 1 (pow u0 3)))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0))) |
(* -4 (log (/ -1 u0))) |
(- (* -4 (log (/ -1 u0))) (/ 1 u0)) |
(+ (* -4 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))) |
(+ (* -4 (log (/ -1 u0))) (* -1 (/ (+ 1 (* -1 (/ (- (* 2/3 (/ 1 u0)) 1/2) u0))) u0))) |
1 |
(+ 1 (* -1 u0)) |
(+ 1 (* u0 (- (pow u0 2) 1))) |
(+ 1 (* u0 (- (* (pow u0 2) (+ 1 (* -1 u0))) 1))) |
(pow u0 4) |
(* (pow u0 4) (- 1 (/ 1 u0))) |
(* (pow u0 4) (- (+ 1 (/ 1 (pow u0 3))) (/ 1 u0))) |
(* (pow u0 4) (- (+ 1 (/ 1 (pow u0 3))) (+ (/ 1 u0) (/ 1 (pow u0 4))))) |
(pow u0 4) |
(* (pow u0 4) (- 1 (/ 1 u0))) |
(* (pow u0 4) (+ 1 (* -1 (/ (- 1 (/ 1 (pow u0 2))) u0)))) |
(* (pow u0 4) (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow u0 3))) (/ 1 (pow u0 2))) u0)))) |
(pow u0 6) |
(pow u0 6) |
(pow u0 6) |
(pow u0 6) |
(pow u0 6) |
(pow u0 6) |
(pow u0 6) |
(pow u0 6) |
(pow u0 6) |
(pow u0 6) |
(pow u0 6) |
(pow u0 6) |
| Outputs |
|---|
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))) |
(*.f32 u0 (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) |
(*.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0)) |
(*.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 alpha (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0))))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))) |
(fma.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (neg.f32 (*.f32 alpha alpha)) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 (*.f32 alpha alpha) u0))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))) |
(fma.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 alpha (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)))) (*.f32 (/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0)))) |
(* (pow alpha 2) (log (/ -1 u0))) |
(*.f32 (*.f32 alpha alpha) (neg.f32 (log.f32 (neg.f32 u0)))) |
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0)) |
(*.f32 alpha (fma.f32 alpha (neg.f32 (log.f32 (neg.f32 u0))) (/.f32 alpha u0))) |
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(fma.f32 alpha (*.f32 alpha (neg.f32 (log.f32 (neg.f32 u0)))) (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0))) (neg.f32 u0))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(fma.f32 alpha (*.f32 alpha (neg.f32 (log.f32 (neg.f32 u0)))) (/.f32 (fma.f32 alpha alpha (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0))) u0)) u0)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 u0) |
(neg.f32 u0) |
(* u0 (- (* -1/2 u0) 1)) |
(*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) |
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)) |
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
(* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)) |
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
(+ (log -1) (* -1 (log (/ 1 u0)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) |
(- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0)) |
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u0) (/.f32 #s(literal -1 binary32) u0))) |
(+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u0) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0)) u0))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0)) |
(+.f32 (log.f32 u0) (+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0)) (*.f32 u0 u0))) (/.f32 #s(literal -1 binary32) u0))) |
(* -1 (log (/ -1 u0))) |
(neg.f32 (neg.f32 (log.f32 (neg.f32 u0)))) |
(- (* -1 (log (/ -1 u0))) (/ 1 u0)) |
(-.f32 (/.f32 #s(literal -1 binary32) u0) (neg.f32 (log.f32 (neg.f32 u0)))) |
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))) |
(-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0)) u0) (neg.f32 (log.f32 (neg.f32 u0)))) |
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0))) |
(-.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 u0)))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u0) (/.f32 #s(literal 1/3 binary32) (*.f32 u0 u0)))) u0)) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) |
(*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) |
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) |
(*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) |
(* 1/3 (* (pow alpha 2) (pow u0 2))) |
(*.f32 u0 (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32)))) |
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(fma.f32 (log.f32 u0) #s(literal 4 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0)) u0)) |
(- (+ (* -4 (log (/ 1 u0))) (* 2/3 (/ 1 (pow u0 3)))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0))) |
(+.f32 (fma.f32 (log.f32 u0) #s(literal 4 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 (/.f32 #s(literal -1 binary32) u0) (/.f32 #s(literal -1/2 binary32) (*.f32 u0 u0)))) |
(* -4 (log (/ -1 u0))) |
(*.f32 (neg.f32 (log.f32 (neg.f32 u0))) #s(literal -4 binary32)) |
(- (* -4 (log (/ -1 u0))) (/ 1 u0)) |
(fma.f32 (neg.f32 (log.f32 (neg.f32 u0))) #s(literal -4 binary32) (/.f32 #s(literal -1 binary32) u0)) |
(+ (* -4 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))) |
(fma.f32 (neg.f32 (log.f32 (neg.f32 u0))) #s(literal -4 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0)) u0)) |
(+ (* -4 (log (/ -1 u0))) (* -1 (/ (+ 1 (* -1 (/ (- (* 2/3 (/ 1 u0)) 1/2) u0))) u0))) |
(fma.f32 (neg.f32 (log.f32 (neg.f32 u0))) #s(literal -4 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 2/3 binary32) u0)) u0)) u0)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u0)) |
(-.f32 #s(literal 1 binary32) u0) |
(+ 1 (* u0 (- (pow u0 2) 1))) |
(fma.f32 u0 (fma.f32 u0 u0 #s(literal -1 binary32)) #s(literal 1 binary32)) |
(+ 1 (* u0 (- (* (pow u0 2) (+ 1 (* -1 u0))) 1))) |
(fma.f32 u0 (fma.f32 u0 (fma.f32 u0 (neg.f32 u0) u0) #s(literal -1 binary32)) #s(literal 1 binary32)) |
(pow u0 4) |
(pow.f32 u0 #s(literal 4 binary32)) |
(* (pow u0 4) (- 1 (/ 1 u0))) |
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u0))) |
(* (pow u0 4) (- (+ 1 (/ 1 (pow u0 3))) (/ 1 u0))) |
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) u0))) |
(* (pow u0 4) (- (+ 1 (/ 1 (pow u0 3))) (+ (/ 1 u0) (/ 1 (pow u0 4))))) |
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) u0)) (/.f32 #s(literal -1 binary32) (pow.f32 u0 #s(literal 4 binary32))))) |
(pow u0 4) |
(pow.f32 u0 #s(literal 4 binary32)) |
(* (pow u0 4) (- 1 (/ 1 u0))) |
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u0))) |
(* (pow u0 4) (+ 1 (* -1 (/ (- 1 (/ 1 (pow u0 2))) u0)))) |
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) u0))) |
(* (pow u0 4) (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow u0 3))) (/ 1 (pow u0 2))) u0)))) |
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 u0)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u0 (*.f32 u0 u0))))) u0))) |
(pow u0 6) |
(pow.f32 u0 #s(literal 6 binary32)) |
(pow u0 6) |
(pow.f32 u0 #s(literal 6 binary32)) |
(pow u0 6) |
(pow.f32 u0 #s(literal 6 binary32)) |
(pow u0 6) |
(pow.f32 u0 #s(literal 6 binary32)) |
(pow u0 6) |
(pow.f32 u0 #s(literal 6 binary32)) |
(pow u0 6) |
(pow.f32 u0 #s(literal 6 binary32)) |
(pow u0 6) |
(pow.f32 u0 #s(literal 6 binary32)) |
(pow u0 6) |
(pow.f32 u0 #s(literal 6 binary32)) |
(pow u0 6) |
(pow.f32 u0 #s(literal 6 binary32)) |
(pow u0 6) |
(pow.f32 u0 #s(literal 6 binary32)) |
(pow u0 6) |
(pow.f32 u0 #s(literal 6 binary32)) |
(pow u0 6) |
(pow.f32 u0 #s(literal 6 binary32)) |
Compiled 46 467 to 3 116 computations (93.3% saved)
32 alts after pruning (29 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 246 | 23 | 1 269 |
| Fresh | 8 | 6 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 257 | 32 | 1 289 |
| Status | Accuracy | Program |
|---|---|---|
| 89.5% | (fma.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0 (*.f32 u0 (*.f32 alpha alpha))) | |
| 89.5% | (fma.f32 (*.f32 alpha u0) alpha (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) | |
| 89.6% | (fma.f32 (*.f32 alpha alpha) u0 (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) | |
| 48.7% | (fma.f32 (neg.f32 (*.f32 alpha alpha)) (log.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))))) | |
| 98.3% | (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)))) (+.f32 #s(literal 0 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (*.f32 #s(literal 0 binary32) (*.f32 alpha alpha))))) (log1p.f32 (neg.f32 u0))) | |
| 58.4% | (*.f32 (/.f32 alpha (/.f32 #s(literal 1 binary32) (neg.f32 alpha))) (log.f32 (-.f32 #s(literal 1 binary32) u0))) | |
| 98.4% | (*.f32 (*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 alpha) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)) (*.f32 #s(literal 0 binary32) (neg.f32 alpha))))) alpha) (log1p.f32 (neg.f32 u0))) | |
| ▶ | 98.3% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))) alpha) (log1p.f32 (neg.f32 u0))) |
| 98.3% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) alpha) (neg.f32 (*.f32 alpha alpha)))) alpha) (log1p.f32 (neg.f32 u0))) | |
| 55.2% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (-.f32 (log.f32 (neg.f32 (fma.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)) #s(literal -1 binary32)))) (log.f32 (neg.f32 (neg.f32 (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) | |
| 98.7% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 (*.f32 u0 u0) (neg.f32 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))) | |
| 58.8% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 (neg.f32 u0) u0) #s(literal -1 binary32)) #s(literal 1 binary32))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) | |
| 91.6% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) | |
| ▶ | 89.3% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
| 85.2% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) | |
| ▶ | 98.7% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)))) |
| 98.4% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0))) (-.f32 #s(literal 0 binary32) (*.f32 u0 (*.f32 u0 u0))))))) | |
| ✓ | 98.9% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
| ✓ | 58.4% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 89.2% | (*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)))) | |
| ▶ | 72.8% | (*.f32 (*.f32 alpha u0) alpha) |
| 89.3% | (*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) | |
| 85.2% | (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) | |
| ▶ | 91.7% | (*.f32 u0 (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
| 91.8% | (*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) | |
| 85.2% | (*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha))) | |
| 89.6% | (*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) | |
| 88.9% | (*.f32 u0 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (-.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))))) | |
| 85.2% | (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) | |
| 88.9% | (*.f32 u0 (*.f32 u0 (*.f32 u0 (fma.f32 alpha (*.f32 alpha #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal -1/2 binary32))) (neg.f32 u0)))))) | |
| 89.4% | (*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) | |
| ✓ | 72.8% | (*.f32 u0 (*.f32 alpha alpha)) |
Compiled 1 280 to 721 computations (43.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 96 | (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) |
| ✓ | cost-diff | 160 | (*.f32 #s(literal 0 binary32) alpha) |
| ✓ | cost-diff | 544 | (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha)))) |
| ✓ | cost-diff | 640 | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))) |
| ✓ | cost-diff | 0 | (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 alpha alpha) |
| ✓ | cost-diff | 0 | (*.f32 u0 (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
| ✓ | cost-diff | 480 | (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
| ✓ | cost-diff | 0 | (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
| ✓ | cost-diff | 0 | (neg.f32 alpha) |
| ✓ | cost-diff | 0 | (*.f32 (neg.f32 alpha) alpha) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 alpha u0) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 alpha u0) alpha) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)))) |
| ✓ | cost-diff | 32 | (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) |
| ✓ | cost-diff | 96 | (+.f32 #s(literal 0 binary32) u0) |
| ✓ | cost-diff | 512 | (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)) |
| 9 896× | lower-fma.f64 |
| 9 884× | lower-fma.f32 |
| 4 090× | lower-*.f64 |
| 4 064× | lower-*.f32 |
| 1 992× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 314 |
| 0 | 83 | 244 |
| 1 | 195 | 243 |
| 2 | 663 | 213 |
| 3 | 2965 | 206 |
| 4 | 5855 | 206 |
| 0 | 8136 | 202 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)))) |
(*.f32 (neg.f32 alpha) alpha) |
(neg.f32 alpha) |
alpha |
(log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0))) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)) |
(-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) |
#s(literal 0 binary32) |
(*.f32 u0 u0) |
u0 |
(+.f32 #s(literal 0 binary32) u0) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha u0) |
alpha |
u0 |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(*.f32 (neg.f32 alpha) alpha) |
(neg.f32 alpha) |
alpha |
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
u0 |
(fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) |
(fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) |
#s(literal -1/3 binary32) |
#s(literal -1/2 binary32) |
#s(literal -1 binary32) |
(*.f32 u0 (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
u0 |
(fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(*.f32 alpha alpha) |
alpha |
(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) |
#s(literal 1/2 binary32) |
#s(literal 1 binary32) |
(*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) |
(*.f32 (*.f32 alpha alpha) u0) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
#s(literal 1/4 binary32) |
#s(literal 1/3 binary32) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))) alpha) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))) |
#s(literal 1 binary32) |
(/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha)))) |
(+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) |
#s(literal 0 binary32) |
(fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha)) |
alpha |
(*.f32 #s(literal 0 binary32) alpha) |
(-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))) |
(*.f32 alpha (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 u0) |
u0 |
| Outputs |
|---|
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(*.f32 (neg.f32 alpha) alpha) |
(*.f32 alpha (neg.f32 alpha)) |
(neg.f32 alpha) |
alpha |
(log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0))) |
(log1p.f32 (neg.f32 u0)) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)) |
(neg.f32 u0) |
(-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) |
(*.f32 u0 (neg.f32 u0)) |
#s(literal 0 binary32) |
(*.f32 u0 u0) |
u0 |
(+.f32 #s(literal 0 binary32) u0) |
u0 |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 alpha u0) |
alpha |
u0 |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (*.f32 u0 (*.f32 alpha alpha)))) |
(*.f32 (neg.f32 alpha) alpha) |
(*.f32 alpha (neg.f32 alpha)) |
(neg.f32 alpha) |
alpha |
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
u0 |
(fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) |
(fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) |
#s(literal -1/3 binary32) |
#s(literal -1/2 binary32) |
#s(literal -1 binary32) |
(*.f32 u0 (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 (*.f32 alpha u0) (fma.f32 (*.f32 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) alpha)) |
u0 |
(fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(*.f32 alpha (fma.f32 (*.f32 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) alpha)) |
(*.f32 alpha alpha) |
alpha |
(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) |
#s(literal 1/2 binary32) |
#s(literal 1 binary32) |
(*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(*.f32 alpha (*.f32 u0 (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(*.f32 (*.f32 alpha alpha) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
#s(literal 1/4 binary32) |
#s(literal 1/3 binary32) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))) alpha) |
(*.f32 alpha (neg.f32 alpha)) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))) |
(neg.f32 alpha) |
#s(literal 1 binary32) |
(/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha)))) |
(/.f32 #s(literal -1 binary32) alpha) |
(+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) |
(*.f32 alpha alpha) |
#s(literal 0 binary32) |
(fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha)) |
(*.f32 alpha alpha) |
alpha |
(*.f32 #s(literal 0 binary32) alpha) |
#s(literal 0 binary32) |
(-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))) |
(*.f32 alpha (*.f32 alpha (neg.f32 alpha))) |
(*.f32 alpha (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 u0) |
u0 |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.3% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))) |
| ✓ | accuracy | 99.2% | (*.f32 alpha (*.f32 alpha alpha)) |
| ✓ | accuracy | 99.1% | (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha)))) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))) alpha) (log1p.f32 (neg.f32 u0))) |
| ✓ | accuracy | 99.2% | (*.f32 u0 (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
| ✓ | accuracy | 99.1% | (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) |
| ✓ | accuracy | 98.9% | (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
| ✓ | accuracy | 100.0% | (*.f32 (neg.f32 alpha) alpha) |
| ✓ | accuracy | 100.0% | (neg.f32 alpha) |
| ✓ | accuracy | 99.2% | (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
| ✓ | accuracy | 100.0% | (*.f32 alpha u0) |
| ✓ | accuracy | 99.2% | (*.f32 (*.f32 alpha u0) alpha) |
| ✓ | accuracy | 100.0% | (neg.f32 alpha) |
| ✓ | accuracy | 100.0% | (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0))) |
| ✓ | accuracy | 99.7% | (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)))) |
| 127.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 347 to 50 computations (85.6% saved)
ival-add: 39.0ms (35.9% of total)ival-mult: 31.0ms (28.6% of total)ival-log1p: 20.0ms (18.4% of total)const: 7.0ms (6.5% of total)ival-div: 5.0ms (4.6% of total)ival-neg: 2.0ms (1.8% of total)ival-sub: 2.0ms (1.8% of total)exact: 1.0ms (0.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0))> |
#<alt (+.f32 #s(literal 0 binary32) u0)> |
#<alt (-.f32 #s(literal 0 binary32) (*.f32 u0 u0))> |
#<alt (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0))))> |
#<alt (*.f32 (*.f32 alpha u0) alpha)> |
#<alt (*.f32 alpha u0)> |
#<alt (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))> |
#<alt (*.f32 (neg.f32 alpha) alpha)> |
#<alt (neg.f32 alpha)> |
#<alt (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))> |
#<alt (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))> |
#<alt (*.f32 u0 (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))))> |
#<alt (*.f32 alpha alpha)> |
#<alt (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))> |
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha)))))> |
#<alt (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))> |
#<alt (*.f32 #s(literal 0 binary32) alpha)> |
#<alt (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha)))> |
#<alt (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)))> |
#<alt (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))> |
#<alt (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))> |
#<alt (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))) alpha) (log1p.f32 (neg.f32 u0)))> |
#<alt (*.f32 alpha (*.f32 alpha alpha))> |
| Outputs |
|---|
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt u0> |
#<alt u0> |
#<alt u0> |
#<alt u0> |
#<alt u0> |
#<alt u0> |
#<alt u0> |
#<alt u0> |
#<alt u0> |
#<alt u0> |
#<alt u0> |
#<alt u0> |
#<alt (* -1 (pow u0 2))> |
#<alt (* -1 (pow u0 2))> |
#<alt (* -1 (pow u0 2))> |
#<alt (* -1 (pow u0 2))> |
#<alt (* -1 (pow u0 2))> |
#<alt (* -1 (pow u0 2))> |
#<alt (* -1 (pow u0 2))> |
#<alt (* -1 (pow u0 2))> |
#<alt (* -1 (pow u0 2))> |
#<alt (* -1 (pow u0 2))> |
#<alt (* -1 (pow u0 2))> |
#<alt (* -1 (pow u0 2))> |
#<alt (* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))> |
#<alt (* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))> |
#<alt (* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))> |
#<alt (* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))> |
#<alt (* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))> |
#<alt (* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))> |
#<alt (* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))> |
#<alt (* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))> |
#<alt (* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))> |
#<alt (* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))> |
#<alt (* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))> |
#<alt (* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))> |
#<alt (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))> |
#<alt (* (pow alpha 2) (log (/ -1 u0)))> |
#<alt (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))> |
#<alt (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* alpha u0)> |
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))> |
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))> |
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))> |
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))> |
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))> |
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))> |
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))> |
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))> |
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))> |
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))> |
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))> |
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))> |
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))> |
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))> |
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 u0)> |
#<alt (* u0 (- (* -1/2 u0) 1))> |
#<alt (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))> |
#<alt (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))> |
#<alt (* -1/3 (pow u0 3))> |
#<alt (* -1 (* (pow u0 3) (+ 1/3 (* 1/2 (/ 1 u0)))))> |
#<alt (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))> |
#<alt (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))> |
#<alt (* -1/3 (pow u0 3))> |
#<alt (* -1 (* (pow u0 3) (+ 1/3 (* 1/2 (/ 1 u0)))))> |
#<alt (* -1 (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))> |
#<alt (* -1 (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (pow alpha 2)> |
#<alt (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))> |
#<alt (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))> |
#<alt (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 3)))> |
#<alt (* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))> |
#<alt (* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 3)))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1/3 (/ (pow alpha 2) u0)) (* -1/4 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))) u0)) (* -1/4 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))) u0)) (* -1/4 (pow alpha 2)))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))> |
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))> |
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))> |
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))> |
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt 1> |
#<alt (+ 1 (* 1/2 u0))> |
#<alt (+ 1 (* 1/2 u0))> |
#<alt (+ 1 (* 1/2 u0))> |
#<alt (* 1/2 u0)> |
#<alt (* u0 (+ 1/2 (/ 1 u0)))> |
#<alt (* u0 (+ 1/2 (/ 1 u0)))> |
#<alt (* u0 (+ 1/2 (/ 1 u0)))> |
#<alt (* 1/2 u0)> |
#<alt (* u0 (+ 1/2 (/ 1 u0)))> |
#<alt (* u0 (+ 1/2 (/ 1 u0)))> |
#<alt (* u0 (+ 1/2 (/ 1 u0)))> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (* -1 u0)> |
#<alt (* u0 (- (* -1/2 u0) 1))> |
#<alt (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))> |
#<alt (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))> |
#<alt (+ (log -1) (* -1 (log (/ 1 u0))))> |
#<alt (- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))> |
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))> |
#<alt (* -1 (log (/ -1 u0)))> |
#<alt (- (* -1 (log (/ -1 u0))) (/ 1 u0))> |
#<alt (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))> |
#<alt (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* 1/3 (* (pow alpha 2) u0))> |
#<alt (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2))))> |
#<alt (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2))))> |
#<alt (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2))))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 2)))> |
#<alt (* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 2)))> |
#<alt (* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt 1/3> |
#<alt (+ 1/3 (* 1/4 u0))> |
#<alt (+ 1/3 (* 1/4 u0))> |
#<alt (+ 1/3 (* 1/4 u0))> |
#<alt (* 1/4 u0)> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* 1/4 u0)> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))> |
#<alt (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))> |
#<alt (* (pow alpha 2) (log (/ -1 u0)))> |
#<alt (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))> |
#<alt (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))> |
#<alt (pow alpha 3)> |
#<alt (pow alpha 3)> |
#<alt (pow alpha 3)> |
#<alt (pow alpha 3)> |
#<alt (pow alpha 3)> |
#<alt (pow alpha 3)> |
#<alt (pow alpha 3)> |
#<alt (pow alpha 3)> |
#<alt (pow alpha 3)> |
#<alt (pow alpha 3)> |
#<alt (pow alpha 3)> |
#<alt (pow alpha 3)> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | alpha | @ | 0 | (* (* (neg alpha) alpha) (log (+ 1 (/ (- 0 (* u0 u0)) (+ 0 u0))))) |
| 3.0ms | alpha | @ | inf | (* (* (neg alpha) alpha) (log (+ 1 (/ (- 0 (* u0 u0)) (+ 0 u0))))) |
| 1.0ms | alpha | @ | 0 | (+ (* (* alpha alpha) (+ (* u0 1/2) 1)) (* u0 (* (* (* alpha alpha) u0) (+ (* u0 1/4) 1/3)))) |
| 1.0ms | alpha | @ | 0 | (* (* (neg alpha) alpha) (* u0 (+ (* u0 (+ (* u0 -1/3) -1/2)) -1))) |
| 1.0ms | u0 | @ | -inf | (+ (* (* alpha alpha) (+ (* u0 1/2) 1)) (* u0 (* (* (* alpha alpha) u0) (+ (* u0 1/4) 1/3)))) |
| 1× | batch-egg-rewrite |
| 3 608× | lower-*.f64 |
| 3 582× | lower-*.f32 |
| 2 228× | lower-fma.f64 |
| 2 216× | lower-fma.f32 |
| 2 214× | lower-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 216 |
| 0 | 83 | 165 |
| 1 | 363 | 140 |
| 2 | 3459 | 130 |
| 0 | 9630 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)) |
(+.f32 #s(literal 0 binary32) u0) |
(-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)))) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha u0) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(*.f32 (neg.f32 alpha) alpha) |
(neg.f32 alpha) |
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
(fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(*.f32 u0 (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 alpha alpha) |
(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))) |
(/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha)))) |
(*.f32 #s(literal 0 binary32) alpha) |
(+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) |
(log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0))) |
(*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 alpha (*.f32 alpha alpha)) |
| Outputs |
|---|
u0 |
(neg.f32 u0) |
(exp.f32 (*.f32 (log.f32 u0) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal -1 binary32))) |
(exp.f32 (-.f32 (*.f32 (log.f32 u0) #s(literal 3 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 u0)))) |
(+.f32 #s(literal 0 binary32) u0) |
(+.f32 u0 #s(literal 0 binary32)) |
(pow.f32 u0 #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(fma.f32 (*.f32 u0 u0) (/.f32 #s(literal -1 binary32) u0) #s(literal 0 binary32)) |
(fma.f32 #s(literal -1 binary32) u0 #s(literal 0 binary32)) |
(fma.f32 #s(literal 1 binary32) u0 #s(literal 0 binary32)) |
(fma.f32 u0 #s(literal -1 binary32) #s(literal 0 binary32)) |
(fma.f32 u0 #s(literal 1 binary32) #s(literal 0 binary32)) |
(fma.f32 u0 (/.f32 u0 u0) #s(literal 0 binary32)) |
(fma.f32 u0 (pow.f32 (/.f32 u0 u0) #s(literal 1 binary32)) #s(literal 0 binary32)) |
(fma.f32 (*.f32 (*.f32 u0 u0) u0) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0)) #s(literal 0 binary32)) |
(fma.f32 (/.f32 #s(literal -1 binary32) u0) (*.f32 u0 u0) #s(literal 0 binary32)) |
(fma.f32 (/.f32 (*.f32 u0 u0) (*.f32 u0 u0)) u0 #s(literal 0 binary32)) |
(fma.f32 (pow.f32 (*.f32 (*.f32 u0 u0) u0) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 u0)) #s(literal 1 binary32)) #s(literal 0 binary32)) |
(fma.f32 (pow.f32 (/.f32 (*.f32 u0 u0) (*.f32 u0 u0)) #s(literal 1 binary32)) u0 #s(literal 0 binary32)) |
(fma.f32 (pow.f32 (/.f32 u0 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 (*.f32 u0 u0) u0)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 (*.f32 u0 u0) u0))) #s(literal 0 binary32)) |
(fma.f32 (pow.f32 (/.f32 u0 (*.f32 u0 (*.f32 (*.f32 u0 u0) u0))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0)) #s(literal 0 binary32)) |
(-.f32 #s(literal 0 binary32) u0) |
(-.f32 u0 #s(literal 0 binary32)) |
(/.f32 (*.f32 u0 u0) u0) |
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u0)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u0)) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal 1 binary32))) |
(/.f32 (*.f32 (*.f32 u0 u0) u0) (*.f32 u0 u0)) |
(/.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 (*.f32 u0 u0) u0))) (*.f32 (*.f32 u0 (*.f32 (*.f32 u0 u0) u0)) u0)) |
(/.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 (*.f32 u0 u0) u0))) (*.f32 u0 (*.f32 u0 (*.f32 (*.f32 u0 u0) u0)))) |
(/.f32 (*.f32 u0 (*.f32 (*.f32 u0 u0) u0)) (*.f32 (*.f32 u0 u0) u0)) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u0 u0) u0)) (*.f32 u0 u0)) |
(/.f32 (*.f32 (*.f32 u0 u0) #s(literal -1 binary32)) u0) |
(/.f32 (*.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 (*.f32 u0 u0) u0))) (/.f32 #s(literal -1 binary32) u0)) (*.f32 u0 (*.f32 (*.f32 u0 u0) u0))) |
(/.f32 (*.f32 (*.f32 u0 (*.f32 (*.f32 u0 u0) u0)) (/.f32 #s(literal -1 binary32) u0)) (*.f32 u0 u0)) |
(/.f32 (/.f32 (*.f32 u0 u0) #s(literal -1 binary32)) u0) |
(*.f32 (*.f32 u0 u0) (/.f32 #s(literal -1 binary32) u0)) |
(*.f32 #s(literal -1 binary32) u0) |
(*.f32 #s(literal 1 binary32) u0) |
(*.f32 u0 #s(literal -1 binary32)) |
(*.f32 u0 #s(literal 1 binary32)) |
(*.f32 u0 (/.f32 u0 u0)) |
(*.f32 u0 (pow.f32 (/.f32 u0 u0) #s(literal 1 binary32))) |
(*.f32 (*.f32 (*.f32 u0 u0) u0) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) |
(*.f32 (/.f32 #s(literal -1 binary32) u0) (*.f32 u0 u0)) |
(*.f32 (/.f32 (*.f32 u0 u0) (*.f32 u0 u0)) u0) |
(*.f32 (pow.f32 (*.f32 (*.f32 u0 u0) u0) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 u0)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (*.f32 u0 u0) (*.f32 u0 u0)) #s(literal 1 binary32)) u0) |
(*.f32 (pow.f32 (/.f32 u0 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 (*.f32 u0 u0) u0)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 (*.f32 u0 u0) u0)))) |
(*.f32 (pow.f32 (/.f32 u0 (*.f32 u0 (*.f32 (*.f32 u0 u0) u0))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) |
u0 |
(neg.f32 u0) |
(exp.f32 (*.f32 (log.f32 u0) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal -1 binary32))) |
(exp.f32 (-.f32 (*.f32 (log.f32 u0) #s(literal 3 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 u0)))) |
(+.f32 #s(literal 0 binary32) u0) |
(+.f32 u0 #s(literal 0 binary32)) |
(pow.f32 u0 #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal -1 binary32)) |
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(fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) #s(literal 0 binary32)) |
(fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) #s(literal 3/2 binary32)) #s(literal 0 binary32)) |
(fma.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) #s(literal 3/2 binary32)) #s(literal 0 binary32)) |
(fma.f32 (pow.f32 alpha #s(literal 3/2 binary32)) (pow.f32 alpha #s(literal 3/2 binary32)) #s(literal 0 binary32)) |
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal 0 binary32)) |
(fma.f32 (pow.f32 (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) #s(literal 3/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 alpha alpha))) #s(literal 3/2 binary32)) #s(literal 0 binary32)) |
(-.f32 #s(literal 0 binary32) (neg.f32 (*.f32 alpha (*.f32 alpha alpha)))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (*.f32 alpha (*.f32 alpha alpha))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (pow.f32 (-.f32 alpha #s(literal 0 binary32)) #s(literal 3 binary32))) |
(/.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (*.f32 alpha (*.f32 alpha alpha))) |
(/.f32 (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (neg.f32 (*.f32 alpha (*.f32 alpha alpha)))) |
(/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) #s(literal 0 binary32)))) |
(*.f32 alpha (*.f32 alpha alpha)) |
(*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 alpha (*.f32 alpha alpha)))) |
(*.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha alpha))) |
(*.f32 (*.f32 alpha alpha) alpha) |
(*.f32 (*.f32 alpha (*.f32 alpha alpha)) #s(literal 1 binary32)) |
(*.f32 (*.f32 alpha (*.f32 alpha alpha)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) #s(literal 3/2 binary32))) |
(*.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 alpha #s(literal 3/2 binary32)) (pow.f32 alpha #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (*.f32 alpha (*.f32 alpha alpha))) |
(*.f32 (pow.f32 (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) #s(literal 3/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 alpha alpha))) #s(literal 3/2 binary32))) |
| 1× | egg-herbie |
| 17 368× | lower-fma.f64 |
| 17 368× | lower-fma.f32 |
| 4 888× | lower-*.f64 |
| 4 888× | lower-*.f32 |
| 3 224× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 220 | 3211 |
| 1 | 682 | 3143 |
| 2 | 2287 | 2917 |
| 3 | 5844 | 2890 |
| 0 | 8364 | 2671 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
u0 |
u0 |
u0 |
u0 |
u0 |
u0 |
u0 |
u0 |
u0 |
u0 |
u0 |
u0 |
(* -1 (pow u0 2)) |
(* -1 (pow u0 2)) |
(* -1 (pow u0 2)) |
(* -1 (pow u0 2)) |
(* -1 (pow u0 2)) |
(* -1 (pow u0 2)) |
(* -1 (pow u0 2)) |
(* -1 (pow u0 2)) |
(* -1 (pow u0 2)) |
(* -1 (pow u0 2)) |
(* -1 (pow u0 2)) |
(* -1 (pow u0 2)) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(* (pow alpha 2) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))) |
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0)) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))) |
(* (pow alpha 2) (log (/ -1 u0))) |
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0)) |
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* alpha u0) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(* (pow alpha 2) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* 1/3 (* (pow alpha 2) (pow u0 3))) |
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))) |
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))) |
(* 1/3 (* (pow alpha 2) (pow u0 3))) |
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))))) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 u0) |
(* u0 (- (* -1/2 u0) 1)) |
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)) |
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)) |
(* -1/3 (pow u0 3)) |
(* -1 (* (pow u0 3) (+ 1/3 (* 1/2 (/ 1 u0))))) |
(* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) |
(* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) |
(* -1/3 (pow u0 3)) |
(* -1 (* (pow u0 3) (+ 1/3 (* 1/2 (/ 1 u0))))) |
(* -1 (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
(* -1 (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(pow alpha 2) |
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) |
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) |
(+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)) |
(* 1/4 (* (pow alpha 2) (pow u0 3))) |
(* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2)))))) |
(* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3)))))) |
(* 1/4 (* (pow alpha 2) (pow u0 3))) |
(* -1 (* (pow u0 3) (+ (* -1/3 (/ (pow alpha 2) u0)) (* -1/4 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))) u0)) (* -1/4 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))) u0)) (* -1/4 (pow alpha 2))))) |
(* (pow alpha 2) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))) |
(* 1/4 (* (pow alpha 2) (pow u0 4))) |
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2)))))) |
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3)))))) |
(* 1/4 (* (pow alpha 2) (pow u0 4))) |
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2)))) |
(* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2)))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
1 |
(+ 1 (* 1/2 u0)) |
(+ 1 (* 1/2 u0)) |
(+ 1 (* 1/2 u0)) |
(* 1/2 u0) |
(* u0 (+ 1/2 (/ 1 u0))) |
(* u0 (+ 1/2 (/ 1 u0))) |
(* u0 (+ 1/2 (/ 1 u0))) |
(* 1/2 u0) |
(* u0 (+ 1/2 (/ 1 u0))) |
(* u0 (+ 1/2 (/ 1 u0))) |
(* u0 (+ 1/2 (/ 1 u0))) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(* -1 u0) |
(* u0 (- (* -1/2 u0) 1)) |
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)) |
(* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)) |
(+ (log -1) (* -1 (log (/ 1 u0)))) |
(- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0)) |
(+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0)) |
(* -1 (log (/ -1 u0))) |
(- (* -1 (log (/ -1 u0))) (/ 1 u0)) |
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))) |
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* 1/3 (* (pow alpha 2) u0)) |
(* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(* 1/4 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* 1/4 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
1/3 |
(+ 1/3 (* 1/4 u0)) |
(+ 1/3 (* 1/4 u0)) |
(+ 1/3 (* 1/4 u0)) |
(* 1/4 u0) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* 1/4 u0) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* (pow alpha 2) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))) |
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0)) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))) |
(* (pow alpha 2) (log (/ -1 u0))) |
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0)) |
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(pow alpha 3) |
(pow alpha 3) |
(pow alpha 3) |
(pow alpha 3) |
(pow alpha 3) |
(pow alpha 3) |
(pow alpha 3) |
(pow alpha 3) |
(pow alpha 3) |
(pow alpha 3) |
(pow alpha 3) |
(pow alpha 3) |
| Outputs |
|---|
(* -1 u0) |
(neg.f32 u0) |
(* -1 u0) |
(neg.f32 u0) |
(* -1 u0) |
(neg.f32 u0) |
(* -1 u0) |
(neg.f32 u0) |
(* -1 u0) |
(neg.f32 u0) |
(* -1 u0) |
(neg.f32 u0) |
(* -1 u0) |
(neg.f32 u0) |
(* -1 u0) |
(neg.f32 u0) |
(* -1 u0) |
(neg.f32 u0) |
(* -1 u0) |
(neg.f32 u0) |
(* -1 u0) |
(neg.f32 u0) |
(* -1 u0) |
(neg.f32 u0) |
u0 |
u0 |
u0 |
u0 |
u0 |
u0 |
u0 |
u0 |
u0 |
u0 |
u0 |
u0 |
(* -1 (pow u0 2)) |
(*.f32 u0 (neg.f32 u0)) |
(* -1 (pow u0 2)) |
(*.f32 u0 (neg.f32 u0)) |
(* -1 (pow u0 2)) |
(*.f32 u0 (neg.f32 u0)) |
(* -1 (pow u0 2)) |
(*.f32 u0 (neg.f32 u0)) |
(* -1 (pow u0 2)) |
(*.f32 u0 (neg.f32 u0)) |
(* -1 (pow u0 2)) |
(*.f32 u0 (neg.f32 u0)) |
(* -1 (pow u0 2)) |
(*.f32 u0 (neg.f32 u0)) |
(* -1 (pow u0 2)) |
(*.f32 u0 (neg.f32 u0)) |
(* -1 (pow u0 2)) |
(*.f32 u0 (neg.f32 u0)) |
(* -1 (pow u0 2)) |
(*.f32 u0 (neg.f32 u0)) |
(* -1 (pow u0 2)) |
(*.f32 u0 (neg.f32 u0)) |
(* -1 (pow u0 2)) |
(*.f32 u0 (neg.f32 u0)) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0))))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 (neg.f32 (log.f32 u0)) (log.f32 #s(literal -1 binary32)))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0)) |
(*.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 alpha (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0))))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))) |
(fma.f32 (*.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u0 u0)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0))) (/.f32 (*.f32 alpha alpha) u0)) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))) |
(fma.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 alpha (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)))) (*.f32 (/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0)))) |
(* (pow alpha 2) (log (/ -1 u0))) |
(neg.f32 (*.f32 (*.f32 alpha alpha) (log.f32 (neg.f32 u0)))) |
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0)) |
(*.f32 alpha (fma.f32 alpha (neg.f32 (log.f32 (neg.f32 u0))) (/.f32 alpha u0))) |
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(fma.f32 (*.f32 alpha alpha) (neg.f32 (log.f32 (neg.f32 u0))) (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0))) (neg.f32 u0))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(fma.f32 alpha (neg.f32 (*.f32 alpha (log.f32 (neg.f32 u0)))) (/.f32 (fma.f32 alpha alpha (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0))) u0)) u0)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* alpha u0) |
(*.f32 u0 alpha) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)))) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(* 1/3 (* (pow alpha 2) (pow u0 3))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 (*.f32 u0 #s(literal 1/3 binary32))))) |
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)))) |
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 alpha (/.f32 alpha (*.f32 u0 u0)) (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0))))) |
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 alpha (/.f32 alpha (*.f32 u0 u0)) (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0))))) |
(* 1/3 (* (pow alpha 2) (pow u0 3))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 (*.f32 u0 #s(literal 1/3 binary32))))) |
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))))) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))))) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 alpha (*.f32 alpha #s(literal 1/3 binary32)) (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))))) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 alpha (*.f32 alpha #s(literal 1/3 binary32)) (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0))) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 u0) |
(neg.f32 u0) |
(* u0 (- (* -1/2 u0) 1)) |
(*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) |
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)) |
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)) |
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
(* -1/3 (pow u0 3)) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal -1/3 binary32)) |
(* -1 (* (pow u0 3) (+ 1/3 (* 1/2 (/ 1 u0))))) |
(*.f32 (*.f32 u0 u0) (*.f32 u0 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)))) |
(* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) u0))) |
(* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) u0))) |
(* -1/3 (pow u0 3)) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal -1/3 binary32)) |
(* -1 (* (pow u0 3) (+ 1/3 (* 1/2 (/ 1 u0))))) |
(*.f32 (*.f32 u0 u0) (*.f32 u0 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)))) |
(* -1 (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
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(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0)) u0) (log.f32 (neg.f32 u0))) |
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0))) |
(+.f32 (log.f32 (neg.f32 u0)) (/.f32 (-.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0)) (/.f32 #s(literal 1/3 binary32) (*.f32 u0 u0))) u0)) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* 1/3 (* (pow alpha 2) u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32))) |
(* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* 1/4 (* (pow alpha 2) (pow u0 2))) |
(*.f32 u0 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1/4 binary32))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* 1/4 (* (pow alpha 2) (pow u0 2))) |
(*.f32 u0 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1/4 binary32))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* 1/4 u0)) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(+ 1/3 (* 1/4 u0)) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(+ 1/3 (* 1/4 u0)) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* 1/4 u0) |
(*.f32 u0 #s(literal 1/4 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* 1/4 u0) |
(*.f32 u0 #s(literal 1/4 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(* (pow alpha 2) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 (neg.f32 (log.f32 u0)) (log.f32 #s(literal -1 binary32)))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0)) |
(*.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 alpha (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0))))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))) |
(fma.f32 (*.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u0 u0)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0))) (/.f32 (*.f32 alpha alpha) u0)) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))) |
(fma.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 alpha (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)))) (*.f32 (/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0)))) |
(* (pow alpha 2) (log (/ -1 u0))) |
(neg.f32 (*.f32 (*.f32 alpha alpha) (log.f32 (neg.f32 u0)))) |
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0)) |
(*.f32 alpha (fma.f32 alpha (neg.f32 (log.f32 (neg.f32 u0))) (/.f32 alpha u0))) |
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(fma.f32 (*.f32 alpha alpha) (neg.f32 (log.f32 (neg.f32 u0))) (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0))) (neg.f32 u0))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(fma.f32 alpha (neg.f32 (*.f32 alpha (log.f32 (neg.f32 u0)))) (/.f32 (fma.f32 alpha alpha (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0))) u0)) u0)) |
(pow alpha 3) |
(*.f32 alpha (*.f32 alpha alpha)) |
(pow alpha 3) |
(*.f32 alpha (*.f32 alpha alpha)) |
(pow alpha 3) |
(*.f32 alpha (*.f32 alpha alpha)) |
(pow alpha 3) |
(*.f32 alpha (*.f32 alpha alpha)) |
(pow alpha 3) |
(*.f32 alpha (*.f32 alpha alpha)) |
(pow alpha 3) |
(*.f32 alpha (*.f32 alpha alpha)) |
(pow alpha 3) |
(*.f32 alpha (*.f32 alpha alpha)) |
(pow alpha 3) |
(*.f32 alpha (*.f32 alpha alpha)) |
(pow alpha 3) |
(*.f32 alpha (*.f32 alpha alpha)) |
(pow alpha 3) |
(*.f32 alpha (*.f32 alpha alpha)) |
(pow alpha 3) |
(*.f32 alpha (*.f32 alpha alpha)) |
(pow alpha 3) |
(*.f32 alpha (*.f32 alpha alpha)) |
Compiled 38 641 to 4 074 computations (89.5% saved)
55 alts after pruning (50 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 482 | 37 | 1 519 |
| Fresh | 11 | 13 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 496 | 55 | 1 551 |
| Status | Accuracy | Program |
|---|---|---|
| 89.5% | (fma.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0 (*.f32 u0 (*.f32 alpha alpha))) | |
| 91.7% | (fma.f32 (*.f32 u0 (fma.f32 #s(literal 1/2 binary32) u0 #s(literal 1 binary32))) (*.f32 alpha alpha) (*.f32 (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)) (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)))) | |
| 91.8% | (fma.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)) (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)))) | |
| 89.5% | (fma.f32 (*.f32 alpha u0) alpha (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) | |
| 91.9% | (fma.f32 alpha (*.f32 (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) u0) (*.f32 (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)) (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)))) | |
| 91.5% | (/.f32 (*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) (*.f32 (*.f32 u0 u0) u0)) (*.f32 u0 u0)) | |
| 91.8% | (/.f32 (*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) (*.f32 u0 u0)) u0) | |
| 72.7% | (/.f32 (*.f32 (*.f32 (*.f32 u0 u0) u0) (*.f32 alpha alpha)) (*.f32 u0 u0)) | |
| 72.8% | (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) u0) | |
| 89.3% | (*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0 #s(literal -1 binary32)) (neg.f32 (*.f32 (*.f32 alpha alpha) u0))) | |
| ▶ | 91.8% | (*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) u0) |
| 72.7% | (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 u0 u0) u0) alpha) (*.f32 u0 u0)) alpha) | |
| 98.4% | (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (neg.f32 (*.f32 alpha alpha))) (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)))) | |
| 98.5% | (*.f32 (/.f32 (neg.f32 alpha) (/.f32 #s(literal 1 binary32) alpha)) (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)))) | |
| 58.4% | (*.f32 (/.f32 alpha (/.f32 #s(literal 1 binary32) (neg.f32 alpha))) (log.f32 (-.f32 #s(literal 1 binary32) u0))) | |
| 98.2% | (*.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha alpha)))) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) alpha) (log1p.f32 (neg.f32 u0))) | |
| 88.9% | (*.f32 (*.f32 (/.f32 alpha (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha alpha)))) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) | |
| ▶ | 98.6% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) (log1p.f32 (neg.f32 u0))) |
| 98.1% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha alpha))) alpha) (log1p.f32 (neg.f32 u0))) | |
| 89.2% | (*.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0 #s(literal -1 binary32))) u0) | |
| 89.3% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (*.f32 u0 (*.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0)) u0)) | |
| 58.8% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 (neg.f32 u0) u0) #s(literal -1 binary32)) #s(literal 1 binary32))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) | |
| 91.6% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) | |
| ✓ | 89.3% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
| 85.2% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) | |
| 98.6% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u0)))) | |
| 98.4% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) u0) (*.f32 u0 u0)))) | |
| ✓ | 98.9% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
| ✓ | 58.4% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 91.7% | (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) | |
| 85.2% | (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) | |
| ✓ | 72.8% | (*.f32 (*.f32 alpha u0) alpha) |
| 89.3% | (*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) | |
| 85.2% | (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) | |
| 91.3% | (*.f32 u0 (fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (*.f32 alpha alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.4% | (*.f32 u0 (fma.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| ▶ | 91.1% | (*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
| 91.4% | (*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.4% | (*.f32 u0 (fma.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.2% | (*.f32 u0 (fma.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.7% | (*.f32 u0 (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) u0)))))) | |
| 91.6% | (*.f32 u0 (fma.f32 (*.f32 alpha alpha) (/.f32 (fma.f32 (*.f32 (*.f32 u0 u0) u0) #s(literal 1/8 binary32) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 u0 u0) #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) u0)))) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.6% | (*.f32 u0 (fma.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) u0 #s(literal -1 binary32)) (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal -1 binary32)))) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.7% | (*.f32 u0 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) u0) u0) (*.f32 (fma.f32 #s(literal 1/2 binary32) u0 #s(literal 1 binary32)) (*.f32 alpha alpha)))) | |
| 91.8% | (*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 alpha alpha))) | |
| 91.8% | (*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) | |
| 85.2% | (*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha))) | |
| ▶ | 89.6% | (*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
| 91.5% | (*.f32 u0 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 alpha (+.f32 (/.f32 alpha (*.f32 u0 (*.f32 u0 u0))) (*.f32 alpha #s(literal 1/4 binary32))) (*.f32 (/.f32 (*.f32 alpha alpha) u0) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)))))) | |
| 91.7% | (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) | |
| ▶ | 85.2% | (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
| 91.1% | (*.f32 u0 (*.f32 u0 (*.f32 (*.f32 u0 u0) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha #s(literal 1/3 binary32)) (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0)) u0))))) | |
| 89.4% | (*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) | |
| ✓ | 72.8% | (*.f32 u0 (*.f32 alpha alpha)) |
| 89.3% | (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
Compiled 2 277 to 1 320 computations (42% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
| ✓ | cost-diff | 480 | (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
| ✓ | cost-diff | 608 | (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) |
| ✓ | cost-diff | 704 | (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) u0) |
| ✓ | cost-diff | 0 | (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) |
| ✓ | cost-diff | 0 | (*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) u0) |
| ✓ | cost-diff | 480 | (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) |
| ✓ | cost-diff | 0 | (*.f32 u0 (*.f32 alpha alpha)) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
| ✓ | cost-diff | 160 | (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
| ✓ | cost-diff | 0 | (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 alpha alpha) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal -1 binary32) alpha) |
| ✓ | cost-diff | 0 | (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) (log1p.f32 (neg.f32 u0))) |
| ✓ | cost-diff | 640 | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) |
| 16 590× | lower-fma.f64 |
| 16 574× | lower-fma.f32 |
| 4 562× | lower-*.f64 |
| 4 526× | lower-*.f32 |
| 2 754× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 367 |
| 0 | 83 | 318 |
| 1 | 214 | 308 |
| 2 | 723 | 290 |
| 3 | 3578 | 286 |
| 4 | 7720 | 286 |
| 0 | 8536 | 276 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) |
#s(literal 1 binary32) |
(/.f32 #s(literal -1 binary32) alpha) |
#s(literal -1 binary32) |
alpha |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 u0) |
u0 |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
u0 |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(*.f32 alpha alpha) |
alpha |
(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) |
#s(literal 1/2 binary32) |
#s(literal 1 binary32) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
u0 |
(fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
alpha |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
#s(literal 1/3 binary32) |
#s(literal 1/2 binary32) |
(*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) u0) |
(fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) |
alpha |
(fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) |
(*.f32 #s(literal 1/2 binary32) u0) |
#s(literal 1/2 binary32) |
u0 |
(*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)) |
(fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) |
#s(literal 1/4 binary32) |
#s(literal 1/3 binary32) |
(*.f32 (*.f32 (*.f32 alpha alpha) u0) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(*.f32 alpha alpha) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
u0 |
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) |
#s(literal 1 binary32) |
(/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) |
(neg.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
alpha |
(neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) |
(*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) |
(*.f32 alpha (*.f32 alpha alpha)) |
(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) |
#s(literal 1/2 binary32) |
(*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) |
(*.f32 (*.f32 alpha alpha) u0) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
#s(literal 1/4 binary32) |
#s(literal 1/3 binary32) |
| Outputs |
|---|
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (*.f32 alpha alpha))) |
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) |
(neg.f32 (*.f32 alpha alpha)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) |
(neg.f32 alpha) |
#s(literal 1 binary32) |
(/.f32 #s(literal -1 binary32) alpha) |
#s(literal -1 binary32) |
alpha |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 u0) |
u0 |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
u0 |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) |
(*.f32 alpha alpha) |
alpha |
(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) |
#s(literal 1/2 binary32) |
#s(literal 1 binary32) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)) |
u0 |
(fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
(*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) |
alpha |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
#s(literal 1/3 binary32) |
#s(literal 1/2 binary32) |
(*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) u0) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
(fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
alpha |
(fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) |
(fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) |
(*.f32 #s(literal 1/2 binary32) u0) |
(*.f32 u0 #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
u0 |
(*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
#s(literal 1/4 binary32) |
#s(literal 1/3 binary32) |
(*.f32 (*.f32 (*.f32 alpha alpha) u0) u0) |
(*.f32 alpha (*.f32 u0 (*.f32 alpha u0))) |
(*.f32 (*.f32 alpha alpha) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
u0 |
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) |
(*.f32 alpha alpha) |
#s(literal 1 binary32) |
(/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) |
(/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) |
(neg.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
alpha |
(neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) |
(*.f32 (*.f32 alpha alpha) (neg.f32 (*.f32 alpha alpha))) |
(*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) |
(*.f32 alpha (*.f32 alpha alpha)) |
(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) |
#s(literal 1/2 binary32) |
(*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 alpha alpha) u0) |
(*.f32 u0 (*.f32 alpha alpha)) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
#s(literal 1/4 binary32) |
#s(literal 1/3 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.1% | (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
| ✓ | accuracy | 99.0% | (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) |
| ✓ | accuracy | 98.9% | (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
| ✓ | accuracy | 99.3% | (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0) |
| ✓ | accuracy | 99.2% | (*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) u0) |
| ✓ | accuracy | 99.1% | (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) |
| ✓ | accuracy | 99.0% | (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 99.3% | (*.f32 u0 (*.f32 alpha alpha)) |
| ✓ | accuracy | 99.3% | (*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
| ✓ | accuracy | 99.0% | (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
| ✓ | accuracy | 100.0% | (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 99.2% | (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
| ✓ | accuracy | 100.0% | (neg.f32 u0) |
| ✓ | accuracy | 100.0% | (log1p.f32 (neg.f32 u0)) |
| ✓ | accuracy | 99.3% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) (log1p.f32 (neg.f32 u0))) |
| 130.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 401 to 50 computations (87.5% saved)
ival-add: 52.0ms (46.4% of total)ival-mult: 33.0ms (29.5% of total)ival-div: 16.0ms (14.3% of total)const: 4.0ms (3.6% of total)ival-neg: 3.0ms (2.7% of total)ival-log1p: 2.0ms (1.8% of total)exact: 1.0ms (0.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha))> |
#<alt (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) (log1p.f32 (neg.f32 u0)))> |
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha)> |
#<alt (/.f32 #s(literal -1 binary32) alpha)> |
#<alt (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))> |
#<alt (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))> |
#<alt (*.f32 alpha alpha)> |
#<alt (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))> |
#<alt (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))> |
#<alt (*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))> |
#<alt (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))> |
#<alt (*.f32 u0 (*.f32 alpha alpha))> |
#<alt (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)))> |
#<alt (*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) u0)> |
#<alt (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha)> |
#<alt (*.f32 #s(literal 1/2 binary32) u0)> |
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))))> |
#<alt (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))> |
#<alt (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))> |
#<alt (*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))))> |
#<alt (log1p.f32 (neg.f32 u0))> |
#<alt (neg.f32 u0)> |
#<alt (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))> |
#<alt (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32))> |
#<alt (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)> |
#<alt (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))> |
#<alt (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))> |
| Outputs |
|---|
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 alpha)> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))> |
#<alt (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))> |
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))> |
#<alt (* (pow alpha 2) (log (/ -1 u0)))> |
#<alt (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))> |
#<alt (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (/ -1 alpha)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* 1/2 (* (pow alpha 2) (pow u0 2)))> |
#<alt (* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))> |
#<alt (* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))> |
#<alt (* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))> |
#<alt (* 1/2 (* (pow alpha 2) (pow u0 2)))> |
#<alt (* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))> |
#<alt (* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))> |
#<alt (* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))> |
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))> |
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))> |
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))> |
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))> |
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))> |
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))> |
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))> |
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))> |
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))> |
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))> |
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))> |
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))> |
#<alt (pow alpha 2)> |
#<alt (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))> |
#<alt (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))> |
#<alt (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))> |
#<alt (* 1/2 (* (pow alpha 2) u0))> |
#<alt (* u0 (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))> |
#<alt (* u0 (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))> |
#<alt (* u0 (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))> |
#<alt (* 1/2 (* (pow alpha 2) u0))> |
#<alt (* -1 (* u0 (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2)))))> |
#<alt (* -1 (* u0 (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2)))))> |
#<alt (* -1 (* u0 (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2)))))> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt 1> |
#<alt (+ 1 (* 1/2 u0))> |
#<alt (+ 1 (* 1/2 u0))> |
#<alt (+ 1 (* 1/2 u0))> |
#<alt (* 1/2 u0)> |
#<alt (* u0 (+ 1/2 (/ 1 u0)))> |
#<alt (* u0 (+ 1/2 (/ 1 u0)))> |
#<alt (* u0 (+ 1/2 (/ 1 u0)))> |
#<alt (* 1/2 u0)> |
#<alt (* u0 (+ 1/2 (/ 1 u0)))> |
#<alt (* u0 (+ 1/2 (/ 1 u0)))> |
#<alt (* u0 (+ 1/2 (/ 1 u0)))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (pow alpha 2)> |
#<alt (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))> |
#<alt (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))> |
#<alt (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))> |
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))> |
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))> |
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))> |
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))> |
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))> |
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))> |
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))> |
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))> |
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* 1/2 (* (pow alpha 2) u0))> |
#<alt (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))> |
#<alt (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))> |
#<alt (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))> |
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))> |
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))> |
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))> |
#<alt (* (pow alpha 2) (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))> |
#<alt (* (pow alpha 2) (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))> |
#<alt (* (pow alpha 2) (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))> |
#<alt (pow alpha 2)> |
#<alt (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))> |
#<alt (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))> |
#<alt (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 3)))> |
#<alt (* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))> |
#<alt (* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 3)))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1/3 (/ (pow alpha 2) u0)) (* -1/4 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))) u0)) (* -1/4 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))) u0)) (* -1/4 (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (* u0 (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))> |
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))> |
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))> |
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))> |
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))> |
#<alt (* alpha (+ 1 (* 1/2 u0)))> |
#<alt (* alpha (+ 1 (* 1/2 u0)))> |
#<alt (* alpha (+ 1 (* 1/2 u0)))> |
#<alt (* alpha (+ 1 (* 1/2 u0)))> |
#<alt (* alpha (+ 1 (* 1/2 u0)))> |
#<alt (* alpha (+ 1 (* 1/2 u0)))> |
#<alt (* alpha (+ 1 (* 1/2 u0)))> |
#<alt (* alpha (+ 1 (* 1/2 u0)))> |
#<alt (* -1 (* alpha (- (* -1/2 u0) 1)))> |
#<alt (* -1 (* alpha (- (* -1/2 u0) 1)))> |
#<alt (* -1 (* alpha (- (* -1/2 u0) 1)))> |
#<alt (* -1 (* alpha (- (* -1/2 u0) 1)))> |
#<alt alpha> |
#<alt (+ alpha (* 1/2 (* alpha u0)))> |
#<alt (+ alpha (* 1/2 (* alpha u0)))> |
#<alt (+ alpha (* 1/2 (* alpha u0)))> |
#<alt (* 1/2 (* alpha u0))> |
#<alt (* u0 (+ (* 1/2 alpha) (/ alpha u0)))> |
#<alt (* u0 (+ (* 1/2 alpha) (/ alpha u0)))> |
#<alt (* u0 (+ (* 1/2 alpha) (/ alpha u0)))> |
#<alt (* 1/2 (* alpha u0))> |
#<alt (* -1 (* u0 (+ (* -1 (/ alpha u0)) (* -1/2 alpha))))> |
#<alt (* -1 (* u0 (+ (* -1 (/ alpha u0)) (* -1/2 alpha))))> |
#<alt (* -1 (* u0 (+ (* -1 (/ alpha u0)) (* -1/2 alpha))))> |
#<alt (* 1/2 u0)> |
#<alt (* 1/2 u0)> |
#<alt (* 1/2 u0)> |
#<alt (* 1/2 u0)> |
#<alt (* 1/2 u0)> |
#<alt (* 1/2 u0)> |
#<alt (* 1/2 u0)> |
#<alt (* 1/2 u0)> |
#<alt (* 1/2 u0)> |
#<alt (* 1/2 u0)> |
#<alt (* 1/2 u0)> |
#<alt (* 1/2 u0)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (/ 1 (pow alpha 2))> |
#<alt (/ 1 (pow alpha 2))> |
#<alt (/ 1 (pow alpha 2))> |
#<alt (/ 1 (pow alpha 2))> |
#<alt (/ 1 (pow alpha 2))> |
#<alt (/ 1 (pow alpha 2))> |
#<alt (/ 1 (pow alpha 2))> |
#<alt (/ 1 (pow alpha 2))> |
#<alt (/ 1 (pow alpha 2))> |
#<alt (/ 1 (pow alpha 2))> |
#<alt (/ 1 (pow alpha 2))> |
#<alt (/ 1 (pow alpha 2))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))> |
#<alt (pow alpha 2)> |
#<alt (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))> |
#<alt (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))> |
#<alt (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 3)))> |
#<alt (* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))> |
#<alt (* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 3)))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1/3 (/ (pow alpha 2) u0)) (* -1/4 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))) u0)) (* -1/4 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))) u0)) (* -1/4 (pow alpha 2)))))> |
#<alt (* (pow alpha 2) u0)> |
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))> |
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))> |
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))> |
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))> |
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))> |
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))))> |
#<alt (* -1 u0)> |
#<alt (* u0 (- (* -1/2 u0) 1))> |
#<alt (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))> |
#<alt (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))> |
#<alt (+ (log -1) (* -1 (log (/ 1 u0))))> |
#<alt (- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))> |
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))> |
#<alt (* -1 (log (/ -1 u0)))> |
#<alt (- (* -1 (log (/ -1 u0))) (/ 1 u0))> |
#<alt (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))> |
#<alt (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))> |
#<alt (* (pow u0 2) (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2))))> |
#<alt (* (pow u0 2) (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2))))> |
#<alt (* (pow u0 2) (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2))))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 3)))> |
#<alt (* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 3)))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1/3 (/ (pow alpha 2) u0)) (* -1/4 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1/3 (/ (pow alpha 2) u0)) (* -1/4 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1/3 (/ (pow alpha 2) u0)) (* -1/4 (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))> |
#<alt 1/3> |
#<alt (+ 1/3 (* 1/4 u0))> |
#<alt (+ 1/3 (* 1/4 u0))> |
#<alt (+ 1/3 (* 1/4 u0))> |
#<alt (* 1/4 u0)> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* 1/4 u0)> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (pow u0 2))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0))))> |
#<alt (* 1/3 (* (pow alpha 2) u0))> |
#<alt (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2))))> |
#<alt (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2))))> |
#<alt (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2))))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 2)))> |
#<alt (* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* 1/4 (* (pow alpha 2) (pow u0 2)))> |
#<alt (* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt (* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))> |
#<alt 1/3> |
#<alt (+ 1/3 (* 1/4 u0))> |
#<alt (+ 1/3 (* 1/4 u0))> |
#<alt (+ 1/3 (* 1/4 u0))> |
#<alt (* 1/4 u0)> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* 1/4 u0)> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
#<alt (* u0 (+ 1/4 (* 1/3 (/ 1 u0))))> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | -inf | (+ (* alpha (+ (* alpha (* 1/2 u0)) alpha)) (* (+ (* 1/4 u0) 1/3) (* (* (* alpha alpha) u0) u0))) |
| 1.0ms | alpha | @ | 0 | (+ (* alpha (+ (* alpha (* 1/2 u0)) alpha)) (* (+ (* 1/4 u0) 1/3) (* (* (* alpha alpha) u0) u0))) |
| 0.0ms | alpha | @ | 0 | (* u0 (* (* alpha alpha) (+ (* u0 1/2) 1))) |
| 0.0ms | u0 | @ | -inf | (* u0 (* (* alpha alpha) (+ (* u0 1/2) 1))) |
| 0.0ms | u0 | @ | inf | (* u0 (* (* alpha alpha) (+ (* u0 1/2) 1))) |
| 1× | batch-egg-rewrite |
| 7 866× | lower-fma.f64 |
| 7 850× | lower-fma.f32 |
| 4 548× | lower-*.f64 |
| 4 512× | lower-*.f32 |
| 3 600× | lower-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 281 |
| 0 | 83 | 237 |
| 1 | 354 | 230 |
| 2 | 2528 | 214 |
| 0 | 10039 | 214 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) |
(/.f32 #s(literal -1 binary32) alpha) |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(*.f32 alpha alpha) |
(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) |
(fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(*.f32 u0 (*.f32 alpha alpha)) |
(fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) |
(*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) u0) |
(fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) |
(*.f32 #s(literal 1/2 binary32) u0) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) |
(/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 u0) |
(*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)) |
(fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) |
(*.f32 (*.f32 (*.f32 alpha alpha) u0) u0) |
(*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
| Outputs |
|---|
(neg.f32 alpha) |
(exp.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 alpha) #s(literal 1 binary32)) |
(pow.f32 (pow.f32 (neg.f32 alpha) #s(literal 1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) alpha) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1/2 binary32)) |
(pow.f32 (exp.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) alpha) |
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (neg.f32 alpha))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) alpha)) |
(/.f32 alpha #s(literal -1 binary32)) |
(/.f32 (neg.f32 alpha) #s(literal 1 binary32)) |
(/.f32 (neg.f32 (neg.f32 alpha)) #s(literal -1 binary32)) |
(*.f32 #s(literal 1 binary32) (neg.f32 alpha)) |
(*.f32 #s(literal -1 binary32) alpha) |
(*.f32 alpha #s(literal -1 binary32)) |
(*.f32 (neg.f32 alpha) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (neg.f32 alpha) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 alpha) #s(literal 1/2 binary32))) |
(/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (/.f32 #s(literal 1 binary32) alpha)) |
(/.f32 (neg.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (/.f32 #s(literal 1 binary32) alpha)) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) (/.f32 #s(literal 1 binary32) alpha)) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) (/.f32 #s(literal -1 binary32) alpha)) |
(*.f32 #s(literal 1 binary32) (*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha)))) |
(*.f32 #s(literal -1 binary32) (*.f32 alpha (*.f32 alpha (log1p.f32 (neg.f32 u0))))) |
(*.f32 alpha (*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) |
(*.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (neg.f32 alpha)) |
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
(neg.f32 (*.f32 alpha alpha)) |
(+.f32 #s(literal 0 binary32) (*.f32 alpha (neg.f32 alpha))) |
(pow.f32 (*.f32 alpha (neg.f32 alpha)) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (*.f32 alpha alpha)) |
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (+.f32 #s(literal 0 binary32) (*.f32 alpha alpha)))) |
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) alpha)) (/.f32 alpha (/.f32 #s(literal 1 binary32) alpha))) |
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (*.f32 #s(literal 0 binary32) (*.f32 alpha alpha))))) (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (+.f32 #s(literal 0 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (*.f32 #s(literal 0 binary32) (*.f32 alpha alpha)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
(/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (neg.f32 (+.f32 #s(literal 0 binary32) (*.f32 alpha alpha)))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (neg.f32 alpha))) (+.f32 #s(literal 0 binary32) (*.f32 alpha alpha))) |
(/.f32 (neg.f32 alpha) (/.f32 #s(literal 1 binary32) alpha)) |
(/.f32 (neg.f32 (neg.f32 alpha)) (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (+.f32 #s(literal 0 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (*.f32 #s(literal 0 binary32) (*.f32 alpha alpha))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (*.f32 #s(literal 0 binary32) (*.f32 alpha alpha)))))) |
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 alpha (neg.f32 alpha)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 #s(literal 0 binary32) (*.f32 alpha (neg.f32 alpha)))))) |
(*.f32 #s(literal 1 binary32) (*.f32 alpha (neg.f32 alpha))) |
(*.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) |
(*.f32 #s(literal -1 binary32) (/.f32 alpha (/.f32 #s(literal 1 binary32) alpha))) |
(*.f32 alpha (neg.f32 alpha)) |
(*.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
(*.f32 (neg.f32 alpha) alpha) |
(*.f32 (-.f32 #s(literal 0 binary32) (neg.f32 alpha)) (neg.f32 alpha)) |
(neg.f32 (/.f32 #s(literal 1 binary32) alpha)) |
(exp.f32 (*.f32 (log.f32 (neg.f32 alpha)) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) #s(literal -1 binary32)) #s(literal -1 binary32))) |
(exp.f32 (neg.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) #s(literal -1 binary32)))) |
(pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal 1 binary32)) |
(pow.f32 (neg.f32 alpha) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) alpha)) |
(/.f32 #s(literal 1 binary32) (neg.f32 alpha)) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (neg.f32 alpha)))) |
(/.f32 #s(literal -1 binary32) alpha) |
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 alpha))) |
(/.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal 1 binary32)) |
(/.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -1 binary32)) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) alpha)) |
(*.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -1 binary32)) |
(*.f32 (pow.f32 (pow.f32 (neg.f32 alpha) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (neg.f32 alpha) #s(literal 1/2 binary32)) #s(literal -1 binary32))) |
(+.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha u0)))) (*.f32 alpha (*.f32 alpha u0))) |
(+.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) #s(literal 1 binary32)) (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 u0 #s(literal 1/2 binary32)))) |
(+.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 u0 #s(literal 1/2 binary32))) (*.f32 (*.f32 alpha (*.f32 alpha u0)) #s(literal 1 binary32))) |
(+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha u0))) u0) (*.f32 alpha (*.f32 alpha u0))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha u0))) (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 alpha u0)))) |
(+.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 alpha u0))) (*.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha u0)))) |
(fma.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha u0)) (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 alpha u0)))) |
(fma.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha u0))) (*.f32 alpha (*.f32 alpha u0))) |
(fma.f32 (*.f32 alpha (*.f32 alpha u0)) #s(literal 1 binary32) (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 u0 #s(literal 1/2 binary32)))) |
(fma.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 (*.f32 alpha (*.f32 alpha u0)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 alpha u0)) (*.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha u0)))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha u0))) u0 (*.f32 alpha (*.f32 alpha u0))) |
(/.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
(/.f32 (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
(/.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 #s(literal 1/8 binary32) (*.f32 u0 (*.f32 u0 u0)) #s(literal 1 binary32))) (fma.f32 #s(literal 1/4 binary32) (*.f32 u0 u0) (-.f32 #s(literal 1 binary32) (*.f32 u0 #s(literal 1/2 binary32))))) |
(/.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 #s(literal 1/4 binary32) (*.f32 u0 u0) #s(literal -1 binary32))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0)) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(/.f32 (neg.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 #s(literal 1/8 binary32) (*.f32 u0 (*.f32 u0 u0)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 u0 u0) (-.f32 #s(literal 1 binary32) (*.f32 u0 #s(literal 1/2 binary32)))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 #s(literal 1/4 binary32) (*.f32 u0 u0) #s(literal -1 binary32)))) (neg.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32)))) |
(/.f32 (+.f32 (pow.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha u0)))) #s(literal 3 binary32)) (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 alpha (*.f32 alpha u0))))) (fma.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha u0)))) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha u0)))) (-.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 alpha (*.f32 alpha u0))) (*.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha u0)))) (*.f32 alpha (*.f32 alpha u0)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 u0 #s(literal 1/2 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) #s(literal 1 binary32)) (*.f32 (*.f32 alpha (*.f32 alpha u0)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 u0 #s(literal 1/2 binary32))) (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) #s(literal 1 binary32)) (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 u0 #s(literal 1/2 binary32))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 u0 #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 u0 #s(literal 1/2 binary32))) (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 u0 #s(literal 1/2 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) #s(literal 1 binary32)) (*.f32 (*.f32 alpha (*.f32 alpha u0)) #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 u0 #s(literal 1/2 binary32))) (*.f32 (*.f32 alpha (*.f32 alpha u0)) #s(literal 1 binary32)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha u0))) u0) #s(literal 3 binary32)) (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 alpha (*.f32 alpha u0))))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha u0))) u0) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha u0))) u0) (-.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 alpha (*.f32 alpha u0))) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha u0))) u0) (*.f32 alpha (*.f32 alpha u0)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha u0))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 alpha u0))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha u0))) (*.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha u0))) (-.f32 (*.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 alpha u0))) (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 alpha u0)))) (*.f32 (*.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha u0))) (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 alpha u0))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 alpha u0))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha u0))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 alpha u0))) (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 alpha u0))) (-.f32 (*.f32 (*.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha u0))) (*.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha u0)))) (*.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 alpha u0))) (*.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha u0))))))) |
(*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0)) |
(*.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0)) |
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha (*.f32 alpha u0))) |
(*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0) |
(*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) |
(*.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 alpha alpha)) |
(neg.f32 (/.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(+.f32 (*.f32 alpha alpha) (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha u0)))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha u0))) (*.f32 alpha alpha)) |
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(/.f32 (neg.f32 (fma.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/64 binary32) #s(literal 1/27 binary32))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 (*.f32 u0 u0) #s(literal 1/16 binary32)) (*.f32 u0 #s(literal 1/12 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/16 binary32) #s(literal -1/9 binary32))) (neg.f32 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal -1/3 binary32)))) |
(/.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u0 u0) #s(literal 1/16 binary32))) (-.f32 #s(literal 1/3 binary32) (*.f32 u0 #s(literal 1/4 binary32)))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u0 u0) #s(literal 1/16 binary32)) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal -1/3 binary32))) (*.f32 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal -1/3 binary32)) #s(literal 1/9 binary32))) (*.f32 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal -1/3 binary32)) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal -1/3 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/64 binary32) #s(literal 1/27 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/16 binary32) (-.f32 #s(literal 1/9 binary32) (*.f32 u0 #s(literal 1/12 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/16 binary32) #s(literal -1/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal -1/3 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u0 u0) #s(literal 1/16 binary32)))) (neg.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 u0 #s(literal 1/4 binary32))))) |
(*.f32 (fma.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/64 binary32) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u0 u0) #s(literal 1/16 binary32) (-.f32 #s(literal 1/9 binary32) (*.f32 u0 #s(literal 1/12 binary32)))))) |
(*.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/16 binary32) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal -1/3 binary32)))) |
| 1× | egg-herbie |
| 21 834× | lower-fma.f64 |
| 21 834× | lower-fma.f32 |
| 4 646× | lower-*.f64 |
| 4 646× | lower-*.f32 |
| 2 978× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 240 | 5768 |
| 1 | 798 | 5343 |
| 2 | 2590 | 4834 |
| 3 | 6238 | 4824 |
| 0 | 8477 | 4360 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(* (pow alpha 2) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))) |
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0)) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))) |
(* (pow alpha 2) (log (/ -1 u0))) |
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0)) |
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(/ -1 alpha) |
(* (pow alpha 2) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* 1/2 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(* 1/2 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0)))) |
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0)))) |
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0)))) |
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0)))) |
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0)))) |
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0)))) |
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0)))) |
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0)))) |
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0)))) |
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0)))) |
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0)))) |
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0)))) |
(* (pow alpha 2) (+ 1 (* 1/2 u0))) |
(* (pow alpha 2) (+ 1 (* 1/2 u0))) |
(* (pow alpha 2) (+ 1 (* 1/2 u0))) |
(* (pow alpha 2) (+ 1 (* 1/2 u0))) |
(* (pow alpha 2) (+ 1 (* 1/2 u0))) |
(* (pow alpha 2) (+ 1 (* 1/2 u0))) |
(* (pow alpha 2) (+ 1 (* 1/2 u0))) |
(* (pow alpha 2) (+ 1 (* 1/2 u0))) |
(* (pow alpha 2) (+ 1 (* 1/2 u0))) |
(* (pow alpha 2) (+ 1 (* 1/2 u0))) |
(* (pow alpha 2) (+ 1 (* 1/2 u0))) |
(* (pow alpha 2) (+ 1 (* 1/2 u0))) |
(pow alpha 2) |
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) |
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) |
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) |
(* 1/2 (* (pow alpha 2) u0)) |
(* u0 (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(* u0 (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(* u0 (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(* 1/2 (* (pow alpha 2) u0)) |
(* -1 (* u0 (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))))) |
(* -1 (* u0 (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))))) |
(* -1 (* u0 (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))))) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
1 |
(+ 1 (* 1/2 u0)) |
(+ 1 (* 1/2 u0)) |
(+ 1 (* 1/2 u0)) |
(* 1/2 u0) |
(* u0 (+ 1/2 (/ 1 u0))) |
(* u0 (+ 1/2 (/ 1 u0))) |
(* u0 (+ 1/2 (/ 1 u0))) |
(* 1/2 u0) |
(* u0 (+ 1/2 (/ 1 u0))) |
(* u0 (+ 1/2 (/ 1 u0))) |
(* u0 (+ 1/2 (/ 1 u0))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(pow alpha 2) |
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) |
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) |
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) |
(* 1/3 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))) |
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))) |
(* 1/3 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2)))) |
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2)))) |
(* (pow alpha 2) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* 1/3 (* (pow alpha 2) (pow u0 3))) |
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))) |
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))) |
(* 1/3 (* (pow alpha 2) (pow u0 3))) |
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))) |
(* 1/2 (* (pow alpha 2) u0)) |
(* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) |
(* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) |
(* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) |
(* 1/3 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* 1/3 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) u0) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))) |
(* (pow alpha 2) (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))) |
(* (pow alpha 2) (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))) |
(* (pow alpha 2) (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))) |
(pow alpha 2) |
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) |
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) |
(+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)) |
(* 1/4 (* (pow alpha 2) (pow u0 3))) |
(* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2)))))) |
(* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3)))))) |
(* 1/4 (* (pow alpha 2) (pow u0 3))) |
(* -1 (* (pow u0 3) (+ (* -1/3 (/ (pow alpha 2) u0)) (* -1/4 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))) u0)) (* -1/4 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))) u0)) (* -1/4 (pow alpha 2))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (* u0 (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (* u0 (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (* u0 (+ (* -1 (- (* -1/2 u0) 1)) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))) |
(* 1/4 (* (pow alpha 2) (pow u0 4))) |
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2)))))) |
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3)))))) |
(* 1/4 (* (pow alpha 2) (pow u0 4))) |
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2)))) |
(* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2)))) |
(* alpha (+ 1 (* 1/2 u0))) |
(* alpha (+ 1 (* 1/2 u0))) |
(* alpha (+ 1 (* 1/2 u0))) |
(* alpha (+ 1 (* 1/2 u0))) |
(* alpha (+ 1 (* 1/2 u0))) |
(* alpha (+ 1 (* 1/2 u0))) |
(* alpha (+ 1 (* 1/2 u0))) |
(* alpha (+ 1 (* 1/2 u0))) |
(* -1 (* alpha (- (* -1/2 u0) 1))) |
(* -1 (* alpha (- (* -1/2 u0) 1))) |
(* -1 (* alpha (- (* -1/2 u0) 1))) |
(* -1 (* alpha (- (* -1/2 u0) 1))) |
alpha |
(+ alpha (* 1/2 (* alpha u0))) |
(+ alpha (* 1/2 (* alpha u0))) |
(+ alpha (* 1/2 (* alpha u0))) |
(* 1/2 (* alpha u0)) |
(* u0 (+ (* 1/2 alpha) (/ alpha u0))) |
(* u0 (+ (* 1/2 alpha) (/ alpha u0))) |
(* u0 (+ (* 1/2 alpha) (/ alpha u0))) |
(* 1/2 (* alpha u0)) |
(* -1 (* u0 (+ (* -1 (/ alpha u0)) (* -1/2 alpha)))) |
(* -1 (* u0 (+ (* -1 (/ alpha u0)) (* -1/2 alpha)))) |
(* -1 (* u0 (+ (* -1 (/ alpha u0)) (* -1/2 alpha)))) |
(* 1/2 u0) |
(* 1/2 u0) |
(* 1/2 u0) |
(* 1/2 u0) |
(* 1/2 u0) |
(* 1/2 u0) |
(* 1/2 u0) |
(* 1/2 u0) |
(* 1/2 u0) |
(* 1/2 u0) |
(* 1/2 u0) |
(* 1/2 u0) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(/ 1 (pow alpha 2)) |
(/ 1 (pow alpha 2)) |
(/ 1 (pow alpha 2)) |
(/ 1 (pow alpha 2)) |
(/ 1 (pow alpha 2)) |
(/ 1 (pow alpha 2)) |
(/ 1 (pow alpha 2)) |
(/ 1 (pow alpha 2)) |
(/ 1 (pow alpha 2)) |
(/ 1 (pow alpha 2)) |
(/ 1 (pow alpha 2)) |
(/ 1 (pow alpha 2)) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(* (pow alpha 2) (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))))) |
(pow alpha 2) |
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) |
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) |
(+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)) |
(* 1/4 (* (pow alpha 2) (pow u0 3))) |
(* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2)))))) |
(* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3)))))) |
(* 1/4 (* (pow alpha 2) (pow u0 3))) |
(* -1 (* (pow u0 3) (+ (* -1/3 (/ (pow alpha 2) u0)) (* -1/4 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))) u0)) (* -1/4 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))) u0)) (* -1/4 (pow alpha 2))))) |
(* (pow alpha 2) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))) |
(* 1/4 (* (pow alpha 2) (pow u0 4))) |
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2)))))) |
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3)))))) |
(* 1/4 (* (pow alpha 2) (pow u0 4))) |
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2)))) |
(* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2)))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* (pow alpha 2) (* u0 (+ 1 (+ (* 1/2 u0) (* (pow u0 2) (+ 1/3 (* 1/4 u0))))))) |
(* -1 u0) |
(* u0 (- (* -1/2 u0) 1)) |
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1)) |
(* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)) |
(+ (log -1) (* -1 (log (/ 1 u0)))) |
(- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0)) |
(+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0)) |
(* -1 (log (/ -1 u0))) |
(- (* -1 (log (/ -1 u0))) (/ 1 u0)) |
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))) |
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0))) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* 1/3 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(* (pow u0 2) (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(* (pow u0 2) (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(* 1/4 (* (pow alpha 2) (pow u0 3))) |
(* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 3) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* 1/4 (* (pow alpha 2) (pow u0 3))) |
(* -1 (* (pow u0 3) (+ (* -1/3 (/ (pow alpha 2) u0)) (* -1/4 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1/3 (/ (pow alpha 2) u0)) (* -1/4 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1/3 (/ (pow alpha 2) u0)) (* -1/4 (pow alpha 2))))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
1/3 |
(+ 1/3 (* 1/4 u0)) |
(+ 1/3 (* 1/4 u0)) |
(+ 1/3 (* 1/4 u0)) |
(* 1/4 u0) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* 1/4 u0) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (pow u0 2)) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(* 1/3 (* (pow alpha 2) u0)) |
(* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(* 1/4 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* 1/4 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
1/3 |
(+ 1/3 (* 1/4 u0)) |
(+ 1/3 (* 1/4 u0)) |
(+ 1/3 (* 1/4 u0)) |
(* 1/4 u0) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* 1/4 u0) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
| Outputs |
|---|
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 alpha) |
(neg.f32 alpha) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(*.f32 alpha (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0))) |
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2))) |
(*.f32 alpha (*.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u0))) |
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 (neg.f32 (log.f32 u0)) (log.f32 #s(literal -1 binary32)))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0)) |
(*.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 alpha (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0))))) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))) |
(fma.f32 (*.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u0 u0)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0))) (/.f32 (*.f32 alpha alpha) u0)) |
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))) |
(fma.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 alpha (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)))) (*.f32 (/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0)))) |
(* (pow alpha 2) (log (/ -1 u0))) |
(*.f32 (*.f32 alpha alpha) (neg.f32 (log.f32 (neg.f32 u0)))) |
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0)) |
(*.f32 alpha (fma.f32 alpha (neg.f32 (log.f32 (neg.f32 u0))) (/.f32 alpha u0))) |
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(neg.f32 (+.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0))) u0) (*.f32 (log.f32 (neg.f32 u0)) (*.f32 alpha alpha)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0)))) |
(fma.f32 alpha (*.f32 alpha (neg.f32 (log.f32 (neg.f32 u0)))) (/.f32 (fma.f32 alpha alpha (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0))) u0)) u0)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(* -1 (pow alpha 2)) |
(*.f32 alpha (neg.f32 alpha)) |
(/ -1 alpha) |
(/.f32 #s(literal -1 binary32) alpha) |
(/ -1 alpha) |
(/.f32 #s(literal -1 binary32) alpha) |
(/ -1 alpha) |
(/.f32 #s(literal -1 binary32) alpha) |
(/ -1 alpha) |
(/.f32 #s(literal -1 binary32) alpha) |
(/ -1 alpha) |
(/.f32 #s(literal -1 binary32) alpha) |
(/ -1 alpha) |
(/.f32 #s(literal -1 binary32) alpha) |
(/ -1 alpha) |
(/.f32 #s(literal -1 binary32) alpha) |
(/ -1 alpha) |
(/.f32 #s(literal -1 binary32) alpha) |
(/ -1 alpha) |
(/.f32 #s(literal -1 binary32) alpha) |
(/ -1 alpha) |
(/.f32 #s(literal -1 binary32) alpha) |
(/ -1 alpha) |
(/.f32 #s(literal -1 binary32) alpha) |
(/ -1 alpha) |
(/.f32 #s(literal -1 binary32) alpha) |
(* (pow alpha 2) u0) |
(*.f32 (*.f32 alpha alpha) u0) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
(* 1/2 (* (pow alpha 2) (pow u0 2))) |
(*.f32 u0 (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)))) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
(* 1/2 (* (pow alpha 2) (pow u0 2))) |
(*.f32 u0 (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)))) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
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(* 1/4 (* (pow alpha 2) (pow u0 4))) |
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alpha |
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(pow alpha 2) |
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(* (pow alpha 2) u0) |
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(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* 1/4 u0)) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(+ 1/3 (* 1/4 u0)) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(+ 1/3 (* 1/4 u0)) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* 1/4 u0) |
(*.f32 u0 #s(literal 1/4 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* 1/4 u0) |
(*.f32 u0 #s(literal 1/4 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (pow u0 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow alpha 2) (* u0 (+ 1/3 (* 1/4 u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* 1/3 (* (pow alpha 2) u0)) |
(*.f32 (*.f32 (*.f32 alpha alpha) u0) #s(literal 1/3 binary32)) |
(* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* 1/4 (* (pow alpha 2) (pow u0 2))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/4 binary32)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* 1/4 (* (pow alpha 2) (pow u0 2))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/4 binary32)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
(* (pow u0 2) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* 1/4 u0)) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(+ 1/3 (* 1/4 u0)) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(+ 1/3 (* 1/4 u0)) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* 1/4 u0) |
(*.f32 u0 #s(literal 1/4 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* 1/4 u0) |
(*.f32 u0 #s(literal 1/4 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(* u0 (+ 1/4 (* 1/3 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
Compiled 88 526 to 6 523 computations (92.6% saved)
65 alts after pruning (59 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 437 | 34 | 2 471 |
| Fresh | 20 | 25 | 45 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 2 461 | 65 | 2 526 |
| Status | Accuracy | Program |
|---|---|---|
| 91.8% | (fma.f32 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) u0) (*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0))) | |
| 91.7% | (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 alpha alpha) (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) | |
| 91.8% | (fma.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0 (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) | |
| 91.9% | (fma.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0) (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) | |
| 91.7% | (fma.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) | |
| 91.5% | (/.f32 (*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) (*.f32 (*.f32 u0 u0) u0)) (*.f32 u0 u0)) | |
| 91.8% | (/.f32 (*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) (*.f32 u0 u0)) u0) | |
| 72.7% | (/.f32 (*.f32 (*.f32 (*.f32 u0 u0) u0) (*.f32 alpha alpha)) (*.f32 u0 u0)) | |
| 72.8% | (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) u0) | |
| 98.6% | (/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal -1 binary32) alpha)) | |
| 91.8% | (*.f32 (fma.f32 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) u0) | |
| 89.3% | (*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0 #s(literal -1 binary32)) (neg.f32 (*.f32 (*.f32 alpha alpha) u0))) | |
| 91.5% | (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (*.f32 u0 u0)))) (*.f32 u0 (*.f32 u0 u0)))) u0) | |
| 85.2% | (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha (*.f32 alpha u0))) | |
| 91.7% | (*.f32 (fma.f32 alpha (/.f32 (*.f32 alpha (fma.f32 #s(literal 1/4 binary32) (*.f32 u0 u0) #s(literal -1 binary32))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32))) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) u0) | |
| 72.7% | (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 u0 u0) u0) alpha) (*.f32 u0 u0)) alpha) | |
| 98.6% | (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (neg.f32 (+.f32 #s(literal 0 binary32) (*.f32 alpha alpha)))) (log1p.f32 (neg.f32 u0))) | |
| 98.2% | (*.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha alpha)))) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) alpha) (log1p.f32 (neg.f32 u0))) | |
| 91.4% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) | |
| 89.2% | (*.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) alpha) alpha) u0) | |
| 91.1% | (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha #s(literal 1/3 binary32)) (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0)) u0))) u0) | |
| 91.7% | (*.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) u0) | |
| 89.2% | (*.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0 #s(literal -1 binary32))) u0) | |
| 89.3% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (*.f32 u0 (*.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0)) u0)) | |
| 91.6% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) | |
| ✓ | 98.9% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
| ✓ | 58.4% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 98.9% | (*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) | |
| 85.2% | (*.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 alpha alpha)) | |
| 91.7% | (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) | |
| 85.3% | (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0) | |
| 85.3% | (*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) | |
| ✓ | 72.8% | (*.f32 (*.f32 alpha u0) alpha) |
| 89.3% | (*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) | |
| 85.2% | (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) | |
| 91.4% | (*.f32 u0 (fma.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.1% | (*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.2% | (*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 u0 u0) #s(literal -1 binary32)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32))) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.2% | (*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha))) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.4% | (*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 90.8% | (*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 90.9% | (*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (/.f32 alpha (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.2% | (*.f32 u0 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.2% | (*.f32 u0 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.4% | (*.f32 u0 (fma.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.7% | (*.f32 u0 (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) u0)))))) | |
| 91.6% | (*.f32 u0 (fma.f32 (*.f32 alpha alpha) (/.f32 (fma.f32 (*.f32 (*.f32 u0 u0) u0) #s(literal 1/8 binary32) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 u0 u0) #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) u0)))) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.6% | (*.f32 u0 (fma.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) u0 #s(literal -1 binary32)) (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal -1 binary32)))) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.7% | (*.f32 u0 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) u0) u0) (*.f32 (fma.f32 #s(literal 1/2 binary32) u0 #s(literal 1 binary32)) (*.f32 alpha alpha)))) | |
| 91.5% | (*.f32 u0 (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) | |
| 91.8% | (*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 alpha alpha))) | |
| ✓ | 89.6% | (*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
| 85.4% | (*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))))) | |
| 84.9% | (*.f32 u0 (*.f32 (/.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) | |
| 84.8% | (*.f32 u0 (*.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (neg.f32 alpha)) (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) | |
| 91.5% | (*.f32 u0 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 alpha (+.f32 (/.f32 alpha (*.f32 u0 (*.f32 u0 u0))) (*.f32 alpha #s(literal 1/4 binary32))) (*.f32 (/.f32 (*.f32 alpha alpha) u0) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)))))) | |
| ✓ | 85.2% | (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
| 91.1% | (*.f32 u0 (*.f32 u0 (*.f32 (*.f32 u0 u0) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha #s(literal 1/3 binary32)) (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0)) u0))))) | |
| 89.4% | (*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) | |
| ✓ | 72.8% | (*.f32 u0 (*.f32 alpha alpha)) |
| 85.3% | (*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0)) | |
| 85.1% | (*.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) | |
| 89.5% | (*.f32 alpha (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0))) | |
| 91.9% | (*.f32 alpha (*.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u0))) | |
| 89.3% | (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
Compiled 3 967 to 1 327 computations (66.5% saved)
| Inputs |
|---|
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
(*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) |
(*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(*.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 alpha alpha)) |
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha (*.f32 alpha u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) u0) |
(*.f32 alpha (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0))) |
(*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) |
(*.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) alpha) alpha) u0) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(*.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0 #s(literal -1 binary32))) u0) |
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0 #s(literal -1 binary32)) (neg.f32 (*.f32 (*.f32 alpha alpha) u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (*.f32 u0 (*.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0)) u0)) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) |
(*.f32 alpha (*.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u0))) |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) u0) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(*.f32 (/.f32 (*.f32 (*.f32 (*.f32 u0 u0) u0) alpha) (*.f32 u0 u0)) alpha) |
(/.f32 (*.f32 (*.f32 (*.f32 u0 u0) u0) (*.f32 alpha alpha)) (*.f32 u0 u0)) |
(fma.f32 (*.f32 alpha alpha) u0 (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(fma.f32 (*.f32 alpha u0) alpha (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(fma.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0 (*.f32 u0 (*.f32 alpha alpha))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) |
(*.f32 u0 (*.f32 (/.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) |
(*.f32 u0 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) u0) u0) (*.f32 (fma.f32 #s(literal 1/2 binary32) u0 #s(literal 1 binary32)) (*.f32 alpha alpha)))) |
(*.f32 u0 (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) u0)))))) |
(*.f32 u0 (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) u0) |
(*.f32 (fma.f32 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) u0) |
(fma.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(fma.f32 alpha (*.f32 (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) u0) (*.f32 (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)) (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)))) |
(fma.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0) (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(fma.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)) (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)))) |
(fma.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0 (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(fma.f32 (*.f32 u0 (fma.f32 #s(literal 1/2 binary32) u0 #s(literal 1 binary32))) (*.f32 alpha alpha) (*.f32 (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)) (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)))) |
(fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 alpha alpha) (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(fma.f32 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) u0) (*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0))) |
(*.f32 u0 (*.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (neg.f32 alpha)) (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(*.f32 (*.f32 (/.f32 alpha (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha alpha)))) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)))) |
(*.f32 u0 (*.f32 u0 (*.f32 u0 (fma.f32 alpha (*.f32 alpha #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal -1/2 binary32))) (neg.f32 u0)))))) |
(/.f32 (*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) (*.f32 u0 u0)) u0) |
(*.f32 u0 (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 (fma.f32 alpha (/.f32 (*.f32 alpha (fma.f32 #s(literal 1/4 binary32) (*.f32 u0 u0) #s(literal -1 binary32))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32))) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) u0) |
(*.f32 u0 (fma.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (*.f32 u0 u0)))) (*.f32 u0 (*.f32 u0 u0)))) u0) |
(/.f32 (*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) (*.f32 (*.f32 u0 u0) u0)) (*.f32 u0 u0)) |
(*.f32 u0 (fma.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) u0 #s(literal -1 binary32)) (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal -1 binary32)))) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (/.f32 alpha (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (*.f32 u0 (*.f32 (*.f32 u0 u0) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha #s(literal 1/3 binary32)) (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0)) u0))))) |
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha #s(literal 1/3 binary32)) (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0)) u0))) u0) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 alpha (+.f32 (/.f32 alpha (*.f32 u0 (*.f32 u0 u0))) (*.f32 alpha #s(literal 1/4 binary32))) (*.f32 (/.f32 (*.f32 alpha alpha) u0) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)))))) |
(*.f32 u0 (fma.f32 (*.f32 alpha alpha) (/.f32 (fma.f32 (*.f32 (*.f32 u0 u0) u0) #s(literal 1/8 binary32) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 u0 u0) #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) u0)))) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (*.f32 alpha alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha))) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 u0 u0) #s(literal -1 binary32)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32))) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 u0 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (-.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))))) |
(/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal -1 binary32) alpha)) |
(*.f32 (/.f32 alpha (/.f32 #s(literal 1 binary32) (neg.f32 alpha))) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) u0) (*.f32 u0 u0)))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u0)))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)))) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (neg.f32 (+.f32 #s(literal 0 binary32) (*.f32 alpha alpha)))) (log1p.f32 (neg.f32 u0))) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) alpha) (neg.f32 (*.f32 alpha alpha)))) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (/.f32 (neg.f32 alpha) (/.f32 #s(literal 1 binary32) alpha)) (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)))) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha alpha))) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (neg.f32 (*.f32 alpha alpha))) (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0))) (-.f32 #s(literal 0 binary32) (*.f32 u0 (*.f32 u0 u0))))))) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (*.f32 alpha (*.f32 alpha alpha))))) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha alpha)))) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)))) (+.f32 #s(literal 0 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (*.f32 #s(literal 0 binary32) (*.f32 alpha alpha))))) (log1p.f32 (neg.f32 u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 (*.f32 u0 u0) (neg.f32 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 u0 u0)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 (neg.f32 u0) u0) #s(literal -1 binary32)) #s(literal 1 binary32))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) |
(*.f32 (*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 alpha) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)) (*.f32 #s(literal 0 binary32) (neg.f32 alpha))))) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 u0) (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))) (log1p.f32 (*.f32 u0 u0)))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) u0))) (log1p.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 u0 #s(literal 1 binary32)))))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) |
(fma.f32 (neg.f32 (*.f32 alpha alpha)) (log.f32 (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (-.f32 (log.f32 (neg.f32 (fma.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)) #s(literal -1 binary32)))) (log.f32 (neg.f32 (neg.f32 (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))) (/.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (log.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) u0)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) u0)))))))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 2 binary32)) (*.f32 (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0))) (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0))))) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0)))))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0))))))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0)))) (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32)))))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))))))) |
| Outputs |
|---|
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
6 calls:
| 33.0ms | alpha |
| 31.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 31.0ms | u0 |
| 31.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 30.0ms | (-.f32 #s(literal 1 binary32) u0) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | alpha |
| 98.9% | 1 | u0 |
| 98.9% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 98.9% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 98.9% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 98.9% | 1 | (-.f32 #s(literal 1 binary32) u0) |
Compiled 34 to 25 computations (26.5% saved)
| Inputs |
|---|
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
(*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) |
(*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(*.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 alpha alpha)) |
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha (*.f32 alpha u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) u0) |
(*.f32 alpha (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0))) |
(*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) |
(*.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) alpha) alpha) u0) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(*.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0 #s(literal -1 binary32))) u0) |
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0 #s(literal -1 binary32)) (neg.f32 (*.f32 (*.f32 alpha alpha) u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (*.f32 u0 (*.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0)) u0)) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) |
(*.f32 alpha (*.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u0))) |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) u0) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(*.f32 (/.f32 (*.f32 (*.f32 (*.f32 u0 u0) u0) alpha) (*.f32 u0 u0)) alpha) |
(/.f32 (*.f32 (*.f32 (*.f32 u0 u0) u0) (*.f32 alpha alpha)) (*.f32 u0 u0)) |
(fma.f32 (*.f32 alpha alpha) u0 (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(fma.f32 (*.f32 alpha u0) alpha (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(fma.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0 (*.f32 u0 (*.f32 alpha alpha))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) |
(*.f32 u0 (*.f32 (/.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) |
(*.f32 u0 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) u0) u0) (*.f32 (fma.f32 #s(literal 1/2 binary32) u0 #s(literal 1 binary32)) (*.f32 alpha alpha)))) |
(*.f32 u0 (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) u0)))))) |
(*.f32 u0 (fma.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) u0) |
(*.f32 (fma.f32 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) u0) |
(fma.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(fma.f32 alpha (*.f32 (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) u0) (*.f32 (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)) (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)))) |
(fma.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0) (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(fma.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)) (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)))) |
(fma.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0 (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(fma.f32 (*.f32 u0 (fma.f32 #s(literal 1/2 binary32) u0 #s(literal 1 binary32))) (*.f32 alpha alpha) (*.f32 (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0)) (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)))) |
(fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 alpha alpha) (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) |
(fma.f32 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha u0))) u0) (*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0))) |
(*.f32 u0 (*.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (neg.f32 alpha)) (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(*.f32 (*.f32 (/.f32 alpha (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha alpha)))) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)))) |
(*.f32 u0 (*.f32 u0 (*.f32 u0 (fma.f32 alpha (*.f32 alpha #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal -1/2 binary32))) (neg.f32 u0)))))) |
(/.f32 (*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) (*.f32 u0 u0)) u0) |
(*.f32 u0 (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 (fma.f32 alpha (/.f32 (*.f32 alpha (fma.f32 #s(literal 1/4 binary32) (*.f32 u0 u0) #s(literal -1 binary32))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32))) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) u0) |
(*.f32 u0 (fma.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (*.f32 u0 u0)))) (*.f32 u0 (*.f32 u0 u0)))) u0) |
(/.f32 (*.f32 (fma.f32 alpha (fma.f32 alpha (*.f32 #s(literal 1/2 binary32) u0) alpha) (*.f32 (fma.f32 #s(literal 1/4 binary32) u0 #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) u0))) (*.f32 (*.f32 u0 u0) u0)) (*.f32 u0 u0)) |
(*.f32 u0 (fma.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) u0 #s(literal -1 binary32)) (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal -1 binary32)))) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (/.f32 alpha (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (*.f32 u0 (*.f32 (*.f32 u0 u0) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha #s(literal 1/3 binary32)) (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0)) u0))))) |
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha #s(literal 1/3 binary32)) (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0)) u0))) u0) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 alpha (+.f32 (/.f32 alpha (*.f32 u0 (*.f32 u0 u0))) (*.f32 alpha #s(literal 1/4 binary32))) (*.f32 (/.f32 (*.f32 alpha alpha) u0) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)))))) |
(*.f32 u0 (fma.f32 (*.f32 alpha alpha) (/.f32 (fma.f32 (*.f32 (*.f32 u0 u0) u0) #s(literal 1/8 binary32) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 u0 u0) #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) u0)))) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (*.f32 alpha alpha))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha))) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
(*.f32 u0 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 u0 u0) #s(literal -1 binary32)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32))) (*.f32 u0 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) |
| Outputs |
|---|
(*.f32 alpha (*.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u0))) |
6 calls:
| 30.0ms | (-.f32 #s(literal 1 binary32) u0) |
| 25.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 24.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 23.0ms | u0 |
| 23.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 1 | alpha |
| 91.9% | 1 | u0 |
| 91.9% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 91.9% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 91.9% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 91.9% | 1 | (-.f32 #s(literal 1 binary32) u0) |
Compiled 34 to 25 computations (26.5% saved)
| Inputs |
|---|
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
(*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) |
(*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(*.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 alpha alpha)) |
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha (*.f32 alpha u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) u0) |
(*.f32 alpha (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0))) |
(*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) |
(*.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) alpha) alpha) u0) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(*.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0 #s(literal -1 binary32))) u0) |
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0 #s(literal -1 binary32)) (neg.f32 (*.f32 (*.f32 alpha alpha) u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (*.f32 u0 (*.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0)) u0)) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))) |
| Outputs |
|---|
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
6 calls:
| 9.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 9.0ms | alpha |
| 8.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 8.0ms | u0 |
| 8.0ms | (-.f32 #s(literal 1 binary32) u0) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 89.6% | 1 | (-.f32 #s(literal 1 binary32) u0) |
| 89.6% | 1 | alpha |
| 89.6% | 1 | u0 |
| 89.6% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 89.6% | 1 | (*.f32 (neg.f32 alpha) alpha) |
Compiled 34 to 25 computations (26.5% saved)
| Inputs |
|---|
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
(*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) |
(*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(*.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 alpha alpha)) |
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha (*.f32 alpha u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) u0) |
(*.f32 alpha (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0))) |
(*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) |
(*.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) alpha) alpha) u0) |
(*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 (neg.f32 u0) (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(*.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0 #s(literal -1 binary32))) u0) |
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0 #s(literal -1 binary32)) (neg.f32 (*.f32 (*.f32 alpha alpha) u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (*.f32 u0 (*.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0)) u0)) |
| Outputs |
|---|
(*.f32 alpha (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0))) |
6 calls:
| 8.0ms | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 8.0ms | (-.f32 #s(literal 1 binary32) u0) |
| 7.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 7.0ms | alpha |
| 7.0ms | u0 |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 1 | alpha |
| 89.5% | 1 | u0 |
| 89.5% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 89.5% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 89.5% | 1 | (-.f32 #s(literal 1 binary32) u0) |
| 89.5% | 1 | (*.f32 (neg.f32 alpha) alpha) |
Compiled 34 to 25 computations (26.5% saved)
| Inputs |
|---|
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
(*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) |
(*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(*.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 alpha alpha)) |
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha (*.f32 alpha u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) u0) |
| Outputs |
|---|
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))))) |
6 calls:
| 6.0ms | (-.f32 #s(literal 1 binary32) u0) |
| 5.0ms | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 5.0ms | alpha |
| 5.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 5.0ms | u0 |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 1 | alpha |
| 85.4% | 1 | u0 |
| 85.4% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 85.4% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 85.4% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 85.4% | 1 | (-.f32 #s(literal 1 binary32) u0) |
Compiled 34 to 25 computations (26.5% saved)
| Inputs |
|---|
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
(*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) |
(*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0) |
(*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(*.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 alpha alpha)) |
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha (*.f32 alpha u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
| Outputs |
|---|
(*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) |
6 calls:
| 6.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 5.0ms | (-.f32 #s(literal 1 binary32) u0) |
| 4.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 4.0ms | u0 |
| 4.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 1 | u0 |
| 85.3% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 85.3% | 1 | alpha |
| 85.3% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 85.3% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 85.3% | 1 | (-.f32 #s(literal 1 binary32) u0) |
Compiled 34 to 25 computations (26.5% saved)
| Inputs |
|---|
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) |
| Outputs |
|---|
(*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0)) |
6 calls:
| 3.0ms | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 3.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 3.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 3.0ms | alpha |
| 3.0ms | (-.f32 #s(literal 1 binary32) u0) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 1 | u0 |
| 85.3% | 1 | alpha |
| 85.3% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 85.3% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 85.3% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 85.3% | 1 | (-.f32 #s(literal 1 binary32) u0) |
Compiled 34 to 25 computations (26.5% saved)
| Inputs |
|---|
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
| Outputs |
|---|
(*.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
6 calls:
| 3.0ms | alpha |
| 2.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 2.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 2.0ms | u0 |
| 2.0ms | (-.f32 #s(literal 1 binary32) u0) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 1 | u0 |
| 85.1% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 85.1% | 1 | alpha |
| 85.1% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 85.1% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 85.1% | 1 | (-.f32 #s(literal 1 binary32) u0) |
Compiled 34 to 25 computations (26.5% saved)
| Inputs |
|---|
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 (*.f32 alpha u0) alpha) |
| Outputs |
|---|
(*.f32 (*.f32 alpha u0) alpha) |
6 calls:
| 2.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 2.0ms | alpha |
| 1.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 1.0ms | u0 |
| 1.0ms | (-.f32 #s(literal 1 binary32) u0) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 1 | u0 |
| 72.8% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 72.8% | 1 | alpha |
| 72.8% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 72.8% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 72.8% | 1 | (-.f32 #s(literal 1 binary32) u0) |
Compiled 34 to 25 computations (26.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f32 u0 (*.f32 alpha alpha)) |
| Outputs |
|---|
(*.f32 u0 (*.f32 alpha alpha)) |
6 calls:
| 2.0ms | u0 |
| 1.0ms | alpha |
| 1.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 1.0ms | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 1.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 72.8% | 1 | (-.f32 #s(literal 1 binary32) u0) |
| 72.8% | 1 | alpha |
| 72.8% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 72.8% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 72.8% | 1 | u0 |
Compiled 34 to 25 computations (26.5% saved)
| 1× | egg-herbie |
| 56× | *-commutative_binary32 |
| 12× | neg-sub0_binary32 |
| 12× | neg-mul-1_binary32 |
| 10× | sub-neg_binary32 |
| 10× | +-commutative_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 104 |
| 1 | 72 | 104 |
| 2 | 86 | 104 |
| 3 | 99 | 104 |
| 4 | 104 | 104 |
| 5 | 106 | 104 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
(*.f32 alpha (*.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u0))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(*.f32 alpha (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) |
(*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0)) |
(*.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 u0 (*.f32 alpha alpha)) |
| Outputs |
|---|
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
(*.f32 alpha (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha))) |
(*.f32 alpha (*.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u0))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(*.f32 alpha (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha))))) |
(*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) |
(*.f32 (*.f32 u0 alpha) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) |
(*.f32 alpha (*.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0)) |
(*.f32 alpha (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) |
(*.f32 alpha (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 alpha (*.f32 (*.f32 u0 alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha (*.f32 u0 alpha)) |
(*.f32 u0 (*.f32 alpha alpha)) |
| 21 834× | lower-fma.f64 |
| 21 834× | lower-fma.f32 |
| 17 368× | lower-fma.f64 |
| 17 368× | lower-fma.f32 |
| 16 992× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 240 | 5768 |
| 1 | 798 | 5343 |
| 2 | 2590 | 4834 |
| 3 | 6238 | 4824 |
| 0 | 8477 | 4360 |
| 0 | 41 | 281 |
| 0 | 83 | 237 |
| 1 | 354 | 230 |
| 2 | 2528 | 214 |
| 0 | 10039 | 214 |
| 0 | 220 | 3211 |
| 1 | 682 | 3143 |
| 2 | 2287 | 2917 |
| 3 | 5844 | 2890 |
| 0 | 8364 | 2671 |
| 0 | 112 | 562 |
| 1 | 307 | 535 |
| 2 | 805 | 502 |
| 3 | 2108 | 490 |
| 4 | 5927 | 483 |
| 0 | 8142 | 455 |
| 0 | 361 | 3887 |
| 1 | 1112 | 3542 |
| 2 | 3160 | 3318 |
| 0 | 8148 | 3050 |
| 0 | 31 | 206 |
| 0 | 61 | 136 |
| 1 | 239 | 128 |
| 2 | 1793 | 128 |
| 0 | 8653 | 121 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 39 | 19 |
| 2 | 180 | 19 |
| 3 | 1310 | 19 |
| 0 | 9491 | 15 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 436 to 256 computations (41.3% saved)
(abs alpha)
Compiled 374 to 196 computations (47.6% saved)
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