
Time bar (total: 11.0s)
| 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)
| 1.3s | 8 256× | 0 | valid |
ival-log: 335.0ms (29.9% of total)const: 300.0ms (26.8% of total)ival-<=: 148.0ms (13.2% of total)ival-mult: 141.0ms (12.6% of total)ival-sub: 122.0ms (10.9% of total)ival-neg: 45.0ms (4% of total)ival-and: 21.0ms (1.9% of total)exact: 4.0ms (0.4% 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 |
|---|---|---|---|---|---|
| 215 | 1 | (0.3653273284435272 0.0015600306214764714) | 6 | (0.01707254722714424 0.01467045582830906) | (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 | 210 | 11 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 210 | 6 |
| - | 0 | 40 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 210 | 6 | 0 |
| - | 0 | 5 | 35 |
| number | freq |
|---|---|
| 0 | 46 |
| 1 | 210 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 43.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-mult: 16.0ms (53.8% of total)ival-log: 8.0ms (26.9% of total)ival-sub: 2.0ms (6.7% of total)ival-neg: 2.0ms (6.7% 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 |
|---|---|---|
| ▶ | 54.4% | (*.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 | 98.8% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| ✓ | accuracy | 54.1% | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 50.0ms | 256× | 0 | valid |
Compiled 27 to 10 computations (63% saved)
ival-log: 4.0ms (40.4% of total)ival-mult: 3.0ms (30.3% of total)ival-sub: 1.0ms (10.1% of total)ival-neg: 1.0ms (10.1% 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 | |
|---|---|---|---|---|
| 60.0ms | alpha | @ | 0 | (* (* (neg alpha) alpha) (log (- 1 u0))) |
| 1.0ms | alpha | @ | inf | (* (* (neg alpha) alpha) (log (- 1 u0))) |
| 0.0ms | u0 | @ | 0 | (* (* (neg alpha) alpha) (log (- 1 u0))) |
| 0.0ms | u0 | @ | 0 | (log (- 1 u0)) |
| 0.0ms | u0 | @ | -inf | (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 |
|---|---|---|
| 54.4% | (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 alpha (*.f32 (*.f32 alpha (neg.f32 alpha)) alpha))) (log.f32 (-.f32 #s(literal 1 binary32) u0))) | |
| ▶ | 54.4% | (*.f32 (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 54.4% | (*.f32 (*.f32 (*.f32 (*.f32 alpha (neg.f32 alpha)) alpha) (/.f32 #s(literal 1 binary32) alpha)) (log.f32 (-.f32 #s(literal 1 binary32) u0))) | |
| 85.8% | (*.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))))))) | |
| 71.2% | (*.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 (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)))))) | |
| 86.0% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))) | |
| 71.3% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0))) | |
| ▶ | 46.8% | (*.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))))) |
| 85.6% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (+.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)))))) | |
| 85.8% | (*.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 #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)))))))) | |
| 71.2% | (*.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))))))) | |
| 93.3% | (*.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)))) | |
| 91.8% | (*.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)))) | |
| 88.4% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) | |
| ▶ | 98.8% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
| ✓ | 54.4% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 88.6% | (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) | |
| 93.7% | (*.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))) | |
| ▶ | 92.2% | (*.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))) |
| ▶ | 75.8% | (*.f32 u0 (*.f32 alpha alpha)) |
Compiled 941 to 500 computations (46.9% 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 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| ✓ | cost-diff | 32 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| ✓ | cost-diff | 832 | (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) |
| ✓ | 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))) |
| 5 308× | lower-fma.f64 |
| 5 302× | lower-fma.f32 |
| 4 946× | lower-*.f64 |
| 4 920× | lower-*.f32 |
| 1 458× | lower-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 306 |
| 0 | 69 | 246 |
| 1 | 148 | 222 |
| 2 | 374 | 220 |
| 3 | 1097 | 220 |
| 4 | 3292 | 219 |
| 5 | 5388 | 219 |
| 0 | 8389 | 217 |
| 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 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) |
(/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) |
(*.f32 alpha (*.f32 alpha alpha)) |
alpha |
(*.f32 alpha alpha) |
(*.f32 alpha (neg.f32 alpha)) |
(neg.f32 alpha) |
(log.f32 (-.f32 #s(literal 1 binary32) u0)) |
(-.f32 #s(literal 1 binary32) u0) |
#s(literal 1 binary32) |
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 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) |
(*.f32 alpha (neg.f32 alpha)) |
(/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) |
(neg.f32 alpha) |
(*.f32 alpha (*.f32 alpha alpha)) |
alpha |
(*.f32 alpha alpha) |
(*.f32 alpha (neg.f32 alpha)) |
(neg.f32 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 |
(*.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 alpha (*.f32 alpha (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (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 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 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 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 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 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 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 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 u0) (*.f32 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 (*.f32 u0 u0) (*.f32 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 u0 (fma.f32 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 | 98.8% | (*.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 | 54.4% | (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 | 99.3% | (*.f32 alpha (*.f32 alpha alpha)) |
| ✓ | accuracy | 99.2% | (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) |
| ✓ | accuracy | 98.8% | (*.f32 (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| ✓ | accuracy | 54.2% | (log.f32 (-.f32 #s(literal 1 binary32) 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 | 99.2% | (*.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))) |
| ✓ | 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 | 99.1% | (*.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 | 98.8% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
| 70.0ms | 254× | 0 | valid |
| 2.0ms | 2× | 5 | exit |
Compiled 331 to 39 computations (88.2% saved)
ival-mult: 25.0ms (44.6% of total)ival-log: 7.0ms (12.5% of total)ival-add: 5.0ms (8.9% of total)const: 4.0ms (7.1% of total)ival-log1p: 4.0ms (7.1% of total)ival-neg: 4.0ms (7.1% of total)ival-div: 3.0ms (5.4% of total)ival-sub: 2.0ms (3.6% of total)adjust: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 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 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha)))> |
#<alt (log.f32 (-.f32 #s(literal 1 binary32) u0))> |
#<alt (*.f32 (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))> |
#<alt (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha)> |
#<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 (*.f32 alpha (*.f32 alpha alpha))> |
#<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 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 (* -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 (* (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 (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)> |
#<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)> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | alpha | @ | 0 | (* (* (neg alpha) alpha) (- (log (/ (+ 1 (* (* u0 (* u0 u0)) (* u0 (* u0 u0)))) (+ 1 (+ (* u0 u0) u0)))) (log (+ 1 (* u0 (* u0 u0)))))) |
| 3.0ms | alpha | @ | 0 | (* u0 (* alpha alpha)) |
| 1.0ms | u0 | @ | inf | (* (* (neg alpha) alpha) (- (log (/ (+ 1 (* (* u0 (* u0 u0)) (* u0 (* u0 u0)))) (+ 1 (+ (* u0 u0) u0)))) (log (+ 1 (* u0 (* u0 u0)))))) |
| 1.0ms | alpha | @ | 0 | (+ (* u0 (* alpha (* alpha (+ (* u0 1/3) 1/2)))) (* alpha alpha)) |
| 1.0ms | u0 | @ | -inf | (* (* (neg alpha) alpha) (- (log (/ (+ 1 (* (* u0 (* u0 u0)) (* u0 (* u0 u0)))) (+ 1 (+ (* u0 u0) u0)))) (log (+ 1 (* u0 (* u0 u0)))))) |
| 1× | batch-egg-rewrite |
| 4 388× | lower-fma.f64 |
| 4 382× | lower-fma.f32 |
| 3 820× | lower-/.f64 |
| 3 816× | lower-/.f32 |
| 3 508× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 215 |
| 0 | 69 | 155 |
| 1 | 266 | 145 |
| 2 | 1916 | 145 |
| 0 | 9007 | 135 |
| 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 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) |
(log.f32 (-.f32 #s(literal 1 binary32) u0)) |
(*.f32 (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) |
(*.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) |
(*.f32 alpha (*.f32 alpha alpha)) |
(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 #s(literal 1 binary32) (/.f32 (*.f32 alpha (neg.f32 alpha)) (*.f32 (log1p.f32 u0) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha (neg.f32 alpha)) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (log1p.f32 u0))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) alpha) (*.f32 #s(literal 1 binary32) (*.f32 alpha (log1p.f32 u0))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) (*.f32 alpha (log1p.f32 u0))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha (log1p.f32 u0))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha (neg.f32 alpha)) (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (log1p.f32 u0)))) |
(/.f32 (*.f32 (log1p.f32 u0) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (*.f32 alpha (neg.f32 alpha))) |
(/.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (log1p.f32 u0))) (*.f32 alpha (neg.f32 alpha))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 alpha (log1p.f32 u0))) (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 (*.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) (*.f32 alpha (log1p.f32 u0))) (*.f32 alpha alpha)) |
(/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (log1p.f32 u0))) (neg.f32 alpha)) |
(/.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (log1p.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(/.f32 (neg.f32 (*.f32 (log1p.f32 u0) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (*.f32 alpha alpha)) |
(/.f32 (neg.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (log1p.f32 u0)))) (*.f32 alpha alpha)) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 alpha (log1p.f32 u0)))) (neg.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(/.f32 (neg.f32 (*.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) (*.f32 alpha (log1p.f32 u0)))) (*.f32 alpha (neg.f32 alpha))) |
(/.f32 (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha (log1p.f32 u0)))) (neg.f32 (neg.f32 alpha))) |
(/.f32 (neg.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (log1p.f32 u0))) (*.f32 alpha alpha)) |
(*.f32 alpha (*.f32 #s(literal -1 binary32) (*.f32 alpha (log1p.f32 u0)))) |
(*.f32 alpha (*.f32 (neg.f32 alpha) (log1p.f32 u0))) |
(*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 u0))) |
(*.f32 (neg.f32 alpha) (/.f32 (*.f32 alpha (log1p.f32 u0)) #s(literal 1 binary32))) |
(*.f32 (log1p.f32 u0) (*.f32 alpha (neg.f32 alpha))) |
(*.f32 (*.f32 alpha alpha) (/.f32 (*.f32 alpha (log1p.f32 u0)) (neg.f32 alpha))) |
(*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (*.f32 alpha (log1p.f32 u0)))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 u0)) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (/.f32 (*.f32 alpha (log1p.f32 u0)) alpha)) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (/.f32 (*.f32 alpha (log1p.f32 u0)) (neg.f32 (neg.f32 alpha)))) |
(*.f32 #s(literal 1 binary32) (neg.f32 (*.f32 alpha (*.f32 alpha (log1p.f32 u0))))) |
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha (log1p.f32 u0)) (/.f32 #s(literal -1 binary32) alpha))) |
(*.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) (/.f32 (log1p.f32 u0) alpha)) |
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (/.f32 (*.f32 alpha (log1p.f32 u0)) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha alpha))))) |
(*.f32 #s(literal -1 binary32) (*.f32 alpha (*.f32 alpha (log1p.f32 u0)))) |
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 alpha (log1p.f32 u0)) (/.f32 alpha (*.f32 alpha alpha)))) |
(*.f32 (*.f32 alpha (log1p.f32 u0)) (neg.f32 alpha)) |
(*.f32 (/.f32 #s(literal -1 binary32) alpha) (/.f32 (*.f32 alpha (log1p.f32 u0)) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) |
(*.f32 (-.f32 (/.f32 #s(literal 0 binary32) alpha) (neg.f32 alpha)) (/.f32 (*.f32 alpha (log1p.f32 u0)) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 (*.f32 alpha (log1p.f32 u0)) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(*.f32 (*.f32 (log1p.f32 u0) (neg.f32 alpha)) alpha) |
(*.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) alpha) (/.f32 (log1p.f32 u0) (neg.f32 alpha))) |
(*.f32 (/.f32 (log1p.f32 u0) alpha) (*.f32 alpha (*.f32 alpha (neg.f32 alpha)))) |
(*.f32 (/.f32 (log1p.f32 u0) (neg.f32 alpha)) (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) alpha)) |
(*.f32 (/.f32 (log1p.f32 u0) #s(literal -1 binary32)) (*.f32 alpha alpha)) |
(*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (/.f32 (*.f32 alpha (log1p.f32 u0)) (*.f32 alpha alpha))) |
(*.f32 (/.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) #s(literal -1 binary32)) (/.f32 (*.f32 alpha (log1p.f32 u0)) (*.f32 alpha (neg.f32 alpha)))) |
(*.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) #s(literal -1 binary32)) (/.f32 (log1p.f32 u0) (*.f32 alpha alpha))) |
(neg.f32 (*.f32 alpha alpha)) |
(pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (*.f32 alpha alpha)) |
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 alpha (neg.f32 alpha)) #s(literal -1 binary32))) |
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) |
(/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 (neg.f32 alpha) (neg.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(/.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
(/.f32 (*.f32 alpha (*.f32 alpha alpha)) (neg.f32 alpha)) |
(/.f32 (*.f32 alpha (neg.f32 alpha)) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) alpha) (*.f32 alpha #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha (neg.f32 alpha)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) alpha))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 alpha) (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) alpha))) |
(/.f32 #s(literal 1 binary32) (/.f32 alpha (*.f32 alpha (*.f32 alpha (neg.f32 alpha))))) |
(/.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) alpha) |
(/.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) (neg.f32 (neg.f32 alpha))) |
(/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha (neg.f32 alpha))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(/.f32 (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (*.f32 alpha alpha)) |
(/.f32 (neg.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha)))) (neg.f32 alpha)) |
(/.f32 (*.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha (neg.f32 alpha)))) (*.f32 alpha alpha)) |
(/.f32 (*.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) alpha) (*.f32 alpha alpha)) |
(/.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) alpha) (neg.f32 alpha)) |
(/.f32 (neg.f32 (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (*.f32 alpha (neg.f32 alpha))) |
(/.f32 (neg.f32 (*.f32 alpha #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(/.f32 (neg.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha (neg.f32 alpha))))) (*.f32 alpha (neg.f32 alpha))) |
(/.f32 (neg.f32 (*.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) alpha)) (*.f32 alpha (neg.f32 alpha))) |
(/.f32 (neg.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) alpha)) (neg.f32 (neg.f32 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 alpha (neg.f32 alpha)) |
(*.f32 (neg.f32 alpha) alpha) |
(*.f32 (neg.f32 alpha) (-.f32 (/.f32 #s(literal 0 binary32) alpha) (neg.f32 alpha))) |
(*.f32 (neg.f32 alpha) (/.f32 alpha #s(literal 1 binary32))) |
(*.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
(*.f32 (*.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal -1 binary32) alpha)) |
(*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) alpha)) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) #s(literal 1 binary32)) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (/.f32 alpha (neg.f32 (neg.f32 alpha)))) |
(*.f32 #s(literal 1 binary32) (*.f32 alpha (neg.f32 alpha))) |
(*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (/.f32 alpha (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha alpha))))) |
(*.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) |
(*.f32 #s(literal -1 binary32) (/.f32 alpha (/.f32 alpha (*.f32 alpha alpha)))) |
(*.f32 (/.f32 #s(literal -1 binary32) alpha) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha alpha))))) |
(*.f32 (/.f32 #s(literal -1 binary32) alpha) (/.f32 alpha (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) |
(*.f32 (-.f32 (/.f32 #s(literal 0 binary32) alpha) (neg.f32 alpha)) (neg.f32 alpha)) |
(*.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 alpha (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(*.f32 (*.f32 alpha #s(literal 1 binary32)) (neg.f32 alpha)) |
(*.f32 (/.f32 alpha (neg.f32 (neg.f32 alpha))) (*.f32 alpha (neg.f32 alpha))) |
(*.f32 (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) alpha) (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) #s(literal -1 binary32))) |
(*.f32 (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) alpha)) |
(*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (/.f32 alpha (*.f32 alpha alpha))) |
(*.f32 (/.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) alpha)) |
(*.f32 (/.f32 alpha #s(literal 1 binary32)) (neg.f32 alpha)) |
(*.f32 (/.f32 alpha (/.f32 alpha (*.f32 alpha alpha))) #s(literal -1 binary32)) |
(neg.f32 alpha) |
(neg.f32 (-.f32 (/.f32 #s(literal 0 binary32) alpha) (neg.f32 alpha))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) |
(+.f32 #s(literal 0 binary32) (neg.f32 alpha)) |
(pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) alpha) |
(-.f32 (/.f32 #s(literal 0 binary32) alpha) (-.f32 (/.f32 #s(literal 0 binary32) alpha) (neg.f32 alpha))) |
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 alpha alpha)) alpha) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 alpha)) (-.f32 (/.f32 #s(literal 0 binary32) alpha) (neg.f32 alpha))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (neg.f32 alpha))) (/.f32 (*.f32 alpha alpha) (neg.f32 (neg.f32 alpha)))) |
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(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 (*.f32 u0 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)))) (fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (-.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (-.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 u0 (*.f32 u0 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 (*.f32 u0 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 (fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (-.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) (fma.f32 u0 (*.f32 u0 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) #s(literal -1 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) |
(*.f32 (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)))) |
(*.f32 (fma.f32 u0 (*.f32 u0 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))) (fma.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #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))) (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 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (-.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 (*.f32 u0 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 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 (*.f32 u0 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 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (-.f32 (*.f32 (*.f32 u0 (*.f32 u0 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 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 (*.f32 u0 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 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (-.f32 (*.f32 (*.f32 u0 (*.f32 u0 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 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 (*.f32 u0 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 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 (*.f32 u0 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 (*.f32 u0 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 (*.f32 u0 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 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 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 (*.f32 (*.f32 u0 (*.f32 u0 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 (pow.f32 (*.f32 (neg.f32 u0) #s(literal -1 binary32)) #s(literal 3 binary32)) (*.f32 u0 (*.f32 u0 u0))) |
| 1× | egg-herbie |
| 13 172× | lower-fma.f64 |
| 13 172× | lower-fma.f32 |
| 3 922× | lower-*.f64 |
| 3 922× | lower-*.f32 |
| 3 002× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 3569 |
| 1 | 786 | 3295 |
| 2 | 2239 | 3116 |
| 3 | 5847 | 3076 |
| 0 | 8251 | 2846 |
| 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 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))) |
(* -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 (* (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) |
(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) |
(* -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 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 #s(literal 1/2 binary32) #s(literal 1 binary32))))) |
(* -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 (log.f32 (neg.f32 u0)) (*.f32 alpha alpha))) |
(+ (* (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 (*.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 (+.f32 (log.f32 #s(literal -1 binary32)) (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 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u0)) (*.f32 u0 u0)) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) 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))) |
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(neg.f32 (*.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 (*.f32 u0 u0) (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (+.f32 (/.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 #s(literal 1 binary32) (*.f32 u0 u0))) (/.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 37 585 to 3 349 computations (91.1% saved)
35 alts after pruning (31 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 468 | 26 | 1 494 |
| Fresh | 9 | 5 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 479 | 35 | 1 514 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.1% | (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))))) |
| 92.3% | (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))))) | |
| 91.9% | (/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) | |
| ▶ | 91.7% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0))) |
| 98.5% | (*.f32 (/.f32 (*.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) alpha) (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) | |
| ▶ | 98.7% | (*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0))) |
| 98.6% | (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (log1p.f32 (neg.f32 u0))) | |
| 98.6% | (*.f32 (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) (*.f32 alpha alpha)) alpha) (log1p.f32 (neg.f32 u0))) | |
| 93.2% | (*.f32 (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (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)))) | |
| 98.3% | (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (log1p.f32 (neg.f32 u0))) | |
| 98.4% | (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0))) | |
| 50.0% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (-.f32 (log1p.f32 (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.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 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32))))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) | |
| 55.2% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (fma.f32 u0 (fma.f32 (*.f32 u0 u0) (-.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) #s(literal 1 binary32))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) | |
| 93.3% | (*.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)))) | |
| 91.8% | (*.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)))) | |
| 88.4% | (*.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 (*.f32 u0 u0))) (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0)))))) | |
| ✓ | 98.8% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
| ✓ | 54.4% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 91.9% | (*.f32 (*.f32 u0 u0) (fma.f32 u0 (/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) | |
| ▶ | 75.8% | (*.f32 (*.f32 alpha u0) alpha) |
| ▶ | 92.1% | (*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) |
| 88.6% | (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) | |
| 93.5% | (*.f32 u0 (fma.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 #s(literal 1/2 binary32) #s(literal 1 binary32))))) | |
| 93.7% | (*.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))) | |
| ✓ | 92.2% | (*.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))) |
| 88.7% | (*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (*.f32 alpha alpha))) | |
| 92.4% | (*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) | |
| 75.7% | (*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha alpha))) | |
| 75.8% | (*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) | |
| 75.8% | (*.f32 u0 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) | |
| 75.7% | (*.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) alpha))) | |
| 88.6% | (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) | |
| 92.3% | (*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) | |
| ✓ | 75.8% | (*.f32 u0 (*.f32 alpha alpha)) |
Compiled 1 303 to 701 computations (46.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 160 | (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) |
| ✓ | cost-diff | 224 | (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) |
| ✓ | cost-diff | 704 | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0))) |
| ✓ | cost-diff | 1568 | (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0)) |
| ✓ | cost-diff | 0 | (*.f32 u0 (*.f32 alpha u0)) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 alpha u0) |
| ✓ | cost-diff | 320 | (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))))) |
| ✓ | cost-diff | 0 | (*.f32 u0 u0) |
| ✓ | cost-diff | 0 | (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0) |
| ✓ | cost-diff | 0 | (*.f32 alpha alpha) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) |
| ✓ | cost-diff | 0 | (*.f32 alpha u0) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 alpha u0) alpha) |
| ✓ | cost-diff | 0 | (log1p.f32 (neg.f32 u0)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal -1 binary32) alpha) |
| ✓ | cost-diff | 0 | (*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0))) |
| ✓ | cost-diff | 192 | (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) |
| 17 988× | lower-fma.f64 |
| 17 978× | lower-fma.f32 |
| 4 404× | lower-*.f64 |
| 4 378× | lower-*.f32 |
| 2 358× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 325 |
| 0 | 60 | 287 |
| 1 | 141 | 278 |
| 2 | 463 | 247 |
| 3 | 2188 | 244 |
| 4 | 6497 | 244 |
| 0 | 8500 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0))) |
(/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) |
alpha |
(/.f32 #s(literal -1 binary32) alpha) |
#s(literal -1 binary32) |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 u0) |
u0 |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha u0) |
alpha |
u0 |
(*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) |
(*.f32 alpha alpha) |
alpha |
(fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0) |
(*.f32 u0 u0) |
u0 |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
#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))))) |
(*.f32 alpha u0) |
alpha |
u0 |
(*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
(*.f32 u0 (*.f32 alpha u0)) |
(*.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 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0))) |
#s(literal 1 binary32) |
(/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0)) |
(fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) |
(*.f32 alpha (*.f32 alpha u0)) |
alpha |
(*.f32 alpha u0) |
u0 |
(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 (neg.f32 alpha)) |
(neg.f32 alpha) |
(*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0) |
(*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) |
(fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
| Outputs |
|---|
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0))) |
(*.f32 (/.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) (log1p.f32 (neg.f32 u0))) |
(/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
alpha |
(/.f32 #s(literal -1 binary32) alpha) |
#s(literal -1 binary32) |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 u0) |
u0 |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha (*.f32 alpha u0)) |
(*.f32 alpha u0) |
alpha |
u0 |
(*.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 alpha u0) (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) |
(*.f32 alpha alpha) |
alpha |
(fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0) |
(fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0) |
(*.f32 u0 u0) |
u0 |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
#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))))) |
(*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) |
(*.f32 alpha u0) |
alpha |
u0 |
(*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
(*.f32 alpha (*.f32 u0 (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) |
(*.f32 u0 (*.f32 alpha u0)) |
(*.f32 alpha (*.f32 u0 u0)) |
(*.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 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0))) |
(*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) |
#s(literal 1 binary32) |
(/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0)) |
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) |
(fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32))) |
(*.f32 alpha (*.f32 alpha u0)) |
alpha |
(*.f32 alpha u0) |
u0 |
(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 (neg.f32 alpha)) |
(neg.f32 alpha) |
(*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0) |
(*.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) |
(*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) |
(*.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32))) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 alpha alpha))) |
(fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) |
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.1% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0))) |
| ✓ | accuracy | 99.1% | (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) |
| ✓ | accuracy | 99.0% | (*.f32 alpha (*.f32 alpha u0)) |
| ✓ | accuracy | 98.9% | (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0)) |
| ✓ | accuracy | 99.0% | (*.f32 u0 (*.f32 alpha u0)) |
| ✓ | accuracy | 99.0% | (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
| ✓ | accuracy | 98.9% | (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))))) |
| ✓ | accuracy | 98.8% | (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
| ✓ | accuracy | 100.0% | (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
| ✓ | accuracy | 100.0% | (*.f32 u0 u0) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) |
| ✓ | accuracy | 100.0% | (*.f32 alpha u0) |
| ✓ | accuracy | 99.0% | (*.f32 (*.f32 alpha u0) alpha) |
| ✓ | accuracy | 100.0% | (neg.f32 u0) |
| ✓ | accuracy | 100.0% | (log1p.f32 (neg.f32 u0)) |
| ✓ | accuracy | 99.2% | (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) |
| ✓ | accuracy | 98.8% | (*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0))) |
| 58.0ms | 254× | 0 | valid |
| 2.0ms | 2× | 5 | exit |
Compiled 366 to 36 computations (90.2% saved)
ival-mult: 22.0ms (48.6% of total)ival-div: 9.0ms (19.9% of total)ival-add: 5.0ms (11% of total)const: 4.0ms (8.8% of total)ival-log1p: 2.0ms (4.4% of total)ival-neg: 2.0ms (4.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha))> |
#<alt (*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0)))> |
#<alt (/.f32 #s(literal -1 binary32) alpha)> |
#<alt (log1p.f32 (neg.f32 u0))> |
#<alt (*.f32 (*.f32 alpha u0) alpha)> |
#<alt (*.f32 alpha u0)> |
#<alt (*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0))> |
#<alt (*.f32 alpha alpha)> |
#<alt (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)> |
#<alt (*.f32 u0 u0)> |
#<alt (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)))))> |
#<alt (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))> |
#<alt (*.f32 u0 (*.f32 alpha u0))> |
#<alt (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0))> |
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0)))> |
#<alt (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))> |
#<alt (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha))> |
#<alt (neg.f32 u0)> |
#<alt (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 alpha (*.f32 alpha u0))> |
#<alt (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))))> |
| Outputs |
|---|
#<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 (* (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 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 (* 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 (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 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)> |
#<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 u0> |
#<alt (* u0 (+ 1 (* 1/2 u0)))> |
#<alt (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* 1/3 (pow u0 3))> |
#<alt (* (pow u0 3) (+ 1/3 (* 1/2 (/ 1 u0))))> |
#<alt (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* 1/3 (pow u0 3))> |
#<alt (* (pow u0 3) (+ 1/3 (* 1/2 (/ 1 u0))))> |
#<alt (* -1 (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)))> |
#<alt (* -1 (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)))> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 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)))> |
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#<alt (* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))> |
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#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
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#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
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#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
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#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))))> |
#<alt (/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))))> |
#<alt (/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))))> |
#<alt (/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))))> |
#<alt (/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))))> |
#<alt (/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))))> |
#<alt (/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))))> |
#<alt (/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))))> |
#<alt (/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))))> |
#<alt (/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))))> |
#<alt (/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))))> |
#<alt (/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))))> |
#<alt (/ 1 (* (pow alpha 2) u0))> |
#<alt (/ (+ (* -1/2 (/ u0 (pow alpha 2))) (/ 1 (pow alpha 2))) u0)> |
#<alt (/ (+ (* u0 (- (* -1/12 (/ u0 (pow alpha 2))) (* 1/2 (/ 1 (pow alpha 2))))) (/ 1 (pow alpha 2))) u0)> |
#<alt (/ (+ (* u0 (- (* u0 (- (* 5/24 (/ u0 (pow alpha 2))) (* 1/12 (/ 1 (pow alpha 2))))) (* 1/2 (/ 1 (pow alpha 2))))) (/ 1 (pow alpha 2))) u0)> |
#<alt (/ 3 (* (pow alpha 2) (pow u0 3)))> |
#<alt (/ (- (* 3 (/ 1 (pow alpha 2))) (* 9/2 (/ 1 (* (pow alpha 2) u0)))) (pow u0 3))> |
#<alt (/ (+ (* -1 (/ (+ (* 9/2 (/ 1 (pow alpha 2))) (* 9/4 (/ 1 (* (pow alpha 2) u0)))) u0)) (* 3 (/ 1 (pow alpha 2)))) (pow u0 3))> |
#<alt (/ (- (+ (* 135/8 (/ 1 (* (pow alpha 2) (pow u0 3)))) (* 3 (/ 1 (pow alpha 2)))) (+ (* 9/4 (/ 1 (* (pow alpha 2) (pow u0 2)))) (/ 9/2 (* (pow alpha 2) u0)))) (pow u0 3))> |
#<alt (/ 3 (* (pow alpha 2) (pow u0 3)))> |
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#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))> |
#<alt (* (pow alpha 2) u0)> |
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#<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)))> |
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#<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)))))> |
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#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
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#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt (* -1 u0)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/3 u0))> |
#<alt (+ 1/2 (* 1/3 u0))> |
#<alt (+ 1/2 (* 1/3 u0))> |
#<alt (* 1/3 u0)> |
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#<alt (* u0 (+ 1/3 (* 1/2 (/ 1 u0))))> |
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#<alt (* alpha (+ 1/2 (* 1/3 u0)))> |
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#<alt (* 1/2 alpha)> |
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#<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 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1)))> |
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#<alt (* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1)))> |
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#<alt (+ (* -1 (pow alpha 4)) (* u0 (+ (* -1/2 (pow alpha 4)) (+ (* 1/2 (pow alpha 4)) (* u0 (+ (* -1/3 (pow alpha 4)) (+ (* 1/4 (pow alpha 4)) (+ (* 1/3 (* (pow alpha 4) u0)) (* 1/3 (pow alpha 4))))))))))> |
#<alt (* 1/9 (* (pow alpha 4) (pow u0 4)))> |
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#<alt (* (pow u0 4) (+ (* -1/3 (/ (pow alpha 4) (pow u0 2))) (+ (* 1/9 (pow alpha 4)) (+ (* 1/4 (/ (pow alpha 4) (pow u0 2))) (+ (* 1/3 (/ (pow alpha 4) u0)) (* 1/3 (/ (pow alpha 4) (pow u0 2))))))))> |
#<alt (* (pow u0 4) (+ (* -1/2 (/ (pow alpha 4) (pow u0 3))) (+ (* -1/3 (/ (pow alpha 4) (pow u0 2))) (+ (* 1/9 (pow alpha 4)) (+ (* 1/4 (/ (pow alpha 4) (pow u0 2))) (+ (* 1/3 (/ (pow alpha 4) u0)) (+ (* 1/3 (/ (pow alpha 4) (pow u0 2))) (* 1/2 (/ (pow alpha 4) (pow u0 3))))))))))> |
#<alt (* 1/9 (* (pow alpha 4) (pow u0 4)))> |
#<alt (* (pow u0 4) (+ (* 1/9 (pow alpha 4)) (* 1/3 (/ (pow alpha 4) u0))))> |
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow alpha 4)) (+ (* 1/4 (pow alpha 4)) (* 1/3 (pow alpha 4)))) u0)) (* -1/3 (pow alpha 4))) u0)) (* 1/9 (pow alpha 4))))> |
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow alpha 4)) (* 1/2 (pow alpha 4))) u0)) (+ (* -1/3 (pow alpha 4)) (+ (* 1/4 (pow alpha 4)) (* 1/3 (pow alpha 4))))) u0)) (* -1/3 (pow alpha 4))) u0)) (* 1/9 (pow alpha 4))))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | u0 | @ | -inf | (/ (+ (* (* alpha (* alpha u0)) (+ (* u0 1/3) 1/2)) (* alpha (neg alpha))) (* (* (+ (* (* alpha (* alpha u0)) (+ (* u0 1/3) 1/2)) (* alpha alpha)) (+ (* (* alpha (* alpha u0)) (+ (* u0 1/3) 1/2)) (* alpha (neg alpha)))) u0)) |
| 1.0ms | u0 | @ | -inf | (* (+ (* (* alpha (* alpha u0)) (+ (* u0 1/3) 1/2)) (* alpha alpha)) (+ (* (* alpha (* alpha u0)) (+ (* u0 1/3) 1/2)) (* alpha (neg alpha)))) |
| 1.0ms | alpha | @ | 0 | (/ (+ (* (* alpha (* alpha u0)) (+ (* u0 1/3) 1/2)) (* alpha (neg alpha))) (* (* (+ (* (* alpha (* alpha u0)) (+ (* u0 1/3) 1/2)) (* alpha alpha)) (+ (* (* alpha (* alpha u0)) (+ (* u0 1/3) 1/2)) (* alpha (neg alpha)))) u0)) |
| 1.0ms | alpha | @ | 0 | (* (* alpha alpha) (+ (* (* u0 u0) (+ (* u0 1/3) 1/2)) u0)) |
| 0.0ms | u0 | @ | inf | (/ (+ (* (* alpha (* alpha u0)) (+ (* u0 1/3) 1/2)) (* alpha (neg alpha))) (* (* (+ (* (* alpha (* alpha u0)) (+ (* u0 1/3) 1/2)) (* alpha alpha)) (+ (* (* alpha (* alpha u0)) (+ (* u0 1/3) 1/2)) (* alpha (neg alpha)))) u0)) |
| 1× | batch-egg-rewrite |
| 5 746× | lower-fma.f64 |
| 5 736× | lower-fma.f32 |
| 4 928× | lower-*.f64 |
| 4 902× | lower-*.f32 |
| 3 914× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 254 |
| 0 | 60 | 250 |
| 1 | 245 | 171 |
| 2 | 2031 | 169 |
| 0 | 8567 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) |
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0))) |
(/.f32 #s(literal -1 binary32) alpha) |
(log1p.f32 (neg.f32 u0)) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha u0) |
(*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) |
(*.f32 alpha alpha) |
(fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0) |
(*.f32 u0 u0) |
(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))))) |
(*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
(*.f32 u0 (*.f32 alpha u0)) |
(/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0))) |
(fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) |
(fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) |
(neg.f32 u0) |
(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 alpha (*.f32 alpha u0)) |
(*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) |
| Outputs |
|---|
(neg.f32 (*.f32 alpha alpha)) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (*.f32 alpha alpha)) |
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) alpha)) (*.f32 alpha alpha)) |
(/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
(/.f32 (neg.f32 alpha) (/.f32 #s(literal 1 binary32) alpha)) |
(/.f32 (*.f32 alpha (neg.f32 alpha)) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))) |
(/.f32 (neg.f32 (neg.f32 alpha)) (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 (*.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) alpha)) (*.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) (*.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 alpha))) (/.f32 #s(literal 1 binary32) alpha)) |
(/.f32 (neg.f32 (*.f32 alpha #s(literal 1 binary32))) (/.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 (-.f32 (pow.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal 3 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))))) (fma.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) alpha)) (/.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) alpha)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (*.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) alpha)) (*.f32 alpha alpha))))) |
(*.f32 alpha (neg.f32 alpha)) |
(*.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) |
(*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha) #s(literal -1 binary32))) |
(*.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
(*.f32 (neg.f32 alpha) alpha) |
(*.f32 #s(literal 1 binary32) (*.f32 alpha (neg.f32 alpha))) |
(*.f32 (/.f32 alpha #s(literal 1 binary32)) (neg.f32 alpha)) |
(pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) #s(literal -1 binary32)) |
(-.f32 (/.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (/.f32 (log1p.f32 (-.f32 (*.f32 u0 u0) (neg.f32 u0))) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(-.f32 (/.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (/.f32 (log1p.f32 u0) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))) |
(/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) |
(/.f32 (*.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 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) (/.f32 #s(literal 1 binary32) alpha)) |
(/.f32 (*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal 1 binary32) alpha)) |
(/.f32 (*.f32 (log1p.f32 (neg.f32 u0)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(/.f32 (*.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(/.f32 (/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) alpha)) |
(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))) (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 (neg.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha))) (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 (neg.f32 (*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))) (/.f32 #s(literal -1 binary32) alpha)) |
(/.f32 (neg.f32 (*.f32 (log1p.f32 (neg.f32 u0)) #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u0)))) (neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(/.f32 (neg.f32 (/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) alpha)) |
(*.f32 alpha (*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))) |
(*.f32 alpha (/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) alpha))) |
(*.f32 #s(literal -1 binary32) (/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(*.f32 (*.f32 alpha alpha) (/.f32 (log1p.f32 (neg.f32 u0)) #s(literal -1 binary32))) |
(*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) |
(*.f32 (neg.f32 alpha) (/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal 1 binary32) alpha))) |
(*.f32 (*.f32 alpha (neg.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)) (/.f32 #s(literal 1 binary32) alpha)) (neg.f32 alpha)) |
(*.f32 (/.f32 alpha #s(literal 1 binary32)) (/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) alpha))) |
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
(*.f32 (/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)) alpha) |
(*.f32 (/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal 1 binary32)) (neg.f32 alpha)) |
(*.f32 (/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) alpha)) alpha) |
(*.f32 (/.f32 (log1p.f32 (neg.f32 u0)) #s(literal -1 binary32)) (*.f32 alpha alpha)) |
(*.f32 (/.f32 (log1p.f32 (neg.f32 u0)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha))) |
(*.f32 (/.f32 (log1p.f32 (neg.f32 u0)) #s(literal 1 binary32)) (*.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))) |
(pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal 1 binary32)) |
(pow.f32 (neg.f32 alpha) #s(literal -1 binary32)) |
(/.f32 #s(literal -1 binary32) alpha) |
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 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) (/.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)) |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 (log.f32 (/.f32 (fma.f32 (neg.f32 u0) (-.f32 (neg.f32 u0) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32))))) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (*.f32 u0 u0))))) |
(+.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u0) (-.f32 (neg.f32 u0) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0)))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (neg.f32 u0) (-.f32 (neg.f32 u0) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (*.f32 u0 u0))))) |
(-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (-.f32 (*.f32 u0 u0) (neg.f32 u0)))) |
(-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log.f32 (fma.f32 u0 u0 (+.f32 #s(literal 1 binary32) u0)))) |
(-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0)))) (log1p.f32 (fma.f32 u0 u0 (*.f32 #s(literal 1 binary32) u0)))) |
(-.f32 (log.f32 (neg.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (neg.f32 u0) (-.f32 (neg.f32 u0) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u0)))) |
(-.f32 (log.f32 (-.f32 (*.f32 u0 u0) #s(literal 1 binary32))) (log.f32 (-.f32 (neg.f32 u0) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (-.f32 (*.f32 u0 u0) (neg.f32 u0))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (fma.f32 (log1p.f32 (-.f32 (*.f32 u0 u0) (neg.f32 u0))) (log1p.f32 (-.f32 (*.f32 u0 u0) (neg.f32 u0))) (*.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (-.f32 (*.f32 u0 u0) (neg.f32 u0))))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 (neg.f32 (*.f32 u0 u0))) (fma.f32 (log1p.f32 u0) (log1p.f32 u0) (*.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))) |
(log.f32 (-.f32 #s(literal 1 binary32) u0)) |
(*.f32 alpha (*.f32 alpha u0)) |
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 (*.f32 alpha alpha) u0) |
(*.f32 alpha u0) |
(*.f32 u0 alpha) |
(+.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) (*.f32 alpha (*.f32 alpha u0))) |
(+.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) |
(pow.f32 (/.f32 (fma.f32 alpha (*.f32 (*.f32 alpha u0) (*.f32 alpha (*.f32 alpha u0))) (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) (-.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) (*.f32 alpha (*.f32 alpha u0))))) (*.f32 (fma.f32 alpha (*.f32 (*.f32 alpha u0) (*.f32 alpha (*.f32 alpha u0))) (*.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) (-.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) (*.f32 alpha (*.f32 alpha u0))))) (*.f32 alpha (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 alpha (*.f32 alpha u0) (neg.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))))) (*.f32 (*.f32 alpha (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0))) (fma.f32 alpha (*.f32 alpha u0) (neg.f32 (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))))))) #s(literal -1 binary32)) |
(fma.f32 alpha (*.f32 alpha u0) (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) |
(fma.f32 alpha (*.f32 alpha (*.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) (*.f32 alpha (*.f32 alpha u0))) |
(fma.f32 alpha (*.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 u0 u0))) (*.f32 alpha (*.f32 alpha u0))) |
(fma.f32 u0 (*.f32 alpha alpha) (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) |
(fma.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) (*.f32 alpha (*.f32 alpha u0))) |
(fma.f32 u0 (*.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha u0))) |
(fma.f32 (*.f32 alpha u0) alpha (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) |
(fma.f32 (*.f32 alpha u0) (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha (*.f32 alpha u0))) |
(fma.f32 (*.f32 alpha alpha) u0 (*.f32 u0 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) |
(fma.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha (*.f32 alpha u0))) |
(fma.f32 (*.f32 u0 u0) (*.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha u0))) |
(fma.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) (*.f32 alpha (*.f32 alpha u0))) |
(fma.f32 (*.f32 alpha (*.f32 u0 u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha (*.f32 alpha u0))) |
(fma.f32 (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha (*.f32 u0 u0)) (*.f32 alpha (*.f32 alpha u0))) |
(fma.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha (*.f32 alpha u0))) |
(fma.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) u0 (*.f32 alpha (*.f32 alpha u0))) |
(fma.f32 (*.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha u0))) |
(fma.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 u0))) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (*.f32 alpha u0))) |
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(*.f32 (/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (fma.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (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 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alpha (neg.f32 alpha)) (-.f32 (*.f32 alpha (neg.f32 alpha)) (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (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 (/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) alpha) (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 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 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) |
(*.f32 (/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) alpha) (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) |
(*.f32 (/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) alpha) (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) (-.f32 (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (neg.f32 alpha)))) |
(*.f32 (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) alpha) (/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (+.f32 (neg.f32 alpha) (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) |
(*.f32 (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) alpha) (/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha)))) |
(*.f32 (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) alpha) (/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (-.f32 (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) alpha))) |
(*.f32 (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) alpha) (/.f32 (*.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 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) |
(*.f32 (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) alpha) (/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) |
(*.f32 (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) alpha) (/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) (-.f32 (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (neg.f32 alpha)))) |
(*.f32 (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)))) (/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (/.f32 #s(literal 1 binary32) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))))) |
(*.f32 (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)))) (/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) (/.f32 #s(literal 1 binary32) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha)))))) |
(*.f32 (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) (fma.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (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 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alpha (neg.f32 alpha)) (-.f32 (*.f32 alpha (neg.f32 alpha)) (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (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 (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) (fma.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (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 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alpha alpha) (-.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (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 (/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (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 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alpha alpha) (-.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 u0 (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)))))))))) |
| 1× | egg-herbie |
| 17 188× | lower-fma.f64 |
| 17 188× | lower-fma.f32 |
| 5 412× | lower-+.f64 |
| 5 412× | lower-+.f32 |
| 4 862× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 4965 |
| 1 | 1069 | 4560 |
| 2 | 3340 | 4315 |
| 0 | 8364 | 3990 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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 (* (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 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) |
(* 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) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 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) |
(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) |
u0 |
(* u0 (+ 1 (* 1/2 u0))) |
(* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* 1/3 (pow u0 3)) |
(* (pow u0 3) (+ 1/3 (* 1/2 (/ 1 u0)))) |
(* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* 1/3 (pow u0 3)) |
(* (pow u0 3) (+ 1/3 (* 1/2 (/ 1 u0)))) |
(* -1 (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))) |
(* -1 (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 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))))) |
(* 1/2 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) |
(* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) |
(* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (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 u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* 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) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))) |
(/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))) |
(/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))) |
(/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))) |
(/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))) |
(/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))) |
(/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))) |
(/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))) |
(/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))) |
(/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))) |
(/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))) |
(/ 1 (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))) |
(/ 1 (* (pow alpha 2) u0)) |
(/ (+ (* -1/2 (/ u0 (pow alpha 2))) (/ 1 (pow alpha 2))) u0) |
(/ (+ (* u0 (- (* -1/12 (/ u0 (pow alpha 2))) (* 1/2 (/ 1 (pow alpha 2))))) (/ 1 (pow alpha 2))) u0) |
(/ (+ (* u0 (- (* u0 (- (* 5/24 (/ u0 (pow alpha 2))) (* 1/12 (/ 1 (pow alpha 2))))) (* 1/2 (/ 1 (pow alpha 2))))) (/ 1 (pow alpha 2))) u0) |
(/ 3 (* (pow alpha 2) (pow u0 3))) |
(/ (- (* 3 (/ 1 (pow alpha 2))) (* 9/2 (/ 1 (* (pow alpha 2) u0)))) (pow u0 3)) |
(/ (+ (* -1 (/ (+ (* 9/2 (/ 1 (pow alpha 2))) (* 9/4 (/ 1 (* (pow alpha 2) u0)))) u0)) (* 3 (/ 1 (pow alpha 2)))) (pow u0 3)) |
(/ (- (+ (* 135/8 (/ 1 (* (pow alpha 2) (pow u0 3)))) (* 3 (/ 1 (pow alpha 2)))) (+ (* 9/4 (/ 1 (* (pow alpha 2) (pow u0 2)))) (/ 9/2 (* (pow alpha 2) u0)))) (pow u0 3)) |
(/ 3 (* (pow alpha 2) (pow u0 3))) |
(* -1 (/ (- (* 9/2 (/ 1 (* (pow alpha 2) u0))) (* 3 (/ 1 (pow alpha 2)))) (pow u0 3))) |
(* -1 (/ (- (+ (/ 9/4 (* (pow alpha 2) (pow u0 2))) (/ 9/2 (* (pow alpha 2) u0))) (* 3 (/ 1 (pow alpha 2)))) (pow u0 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 9/4 (/ 1 (pow alpha 2))) (* 135/8 (/ 1 (* (pow alpha 2) u0)))) u0)) (* 9/2 (/ 1 (pow alpha 2)))) u0)) (* 3 (/ 1 (pow alpha 2)))) (pow u0 3))) |
(* (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) 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 (+ 1/2 (* 1/3 u0))) 1)) |
(* (pow alpha 2) (- (* u0 (+ 1/2 (* 1/3 u0))) 1)) |
(* (pow alpha 2) (- (* u0 (+ 1/2 (* 1/3 u0))) 1)) |
(* (pow alpha 2) (- (* u0 (+ 1/2 (* 1/3 u0))) 1)) |
(* (pow alpha 2) (- (* u0 (+ 1/2 (* 1/3 u0))) 1)) |
(* (pow alpha 2) (- (* u0 (+ 1/2 (* 1/3 u0))) 1)) |
(* (pow alpha 2) (- (* u0 (+ 1/2 (* 1/3 u0))) 1)) |
(* (pow alpha 2) (- (* u0 (+ 1/2 (* 1/3 u0))) 1)) |
(* (pow alpha 2) (- (* u0 (+ 1/2 (* 1/3 u0))) 1)) |
(* (pow alpha 2) (- (* u0 (+ 1/2 (* 1/3 u0))) 1)) |
(* (pow alpha 2) (- (* u0 (+ 1/2 (* 1/3 u0))) 1)) |
(* (pow alpha 2) (- (* u0 (+ 1/2 (* 1/3 u0))) 1)) |
(* -1 (pow alpha 2)) |
(+ (* -1 (pow alpha 2)) (* 1/2 (* (pow alpha 2) u0))) |
(+ (* -1 (pow alpha 2)) (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))) |
(+ (* -1 (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 (/ (pow alpha 2) (pow u0 2))) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))) |
(* (pow u0 2) (+ (* -1 (/ (pow alpha 2) (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 (/ (+ (* -1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* 1/3 (pow alpha 2)))) |
(* (pow u0 2) (+ (* -1 (/ (+ (* -1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) 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) |
(+ (* 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)))) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
(* -1 u0) |
1/2 |
(+ 1/2 (* 1/3 u0)) |
(+ 1/2 (* 1/3 u0)) |
(+ 1/2 (* 1/3 u0)) |
(* 1/3 u0) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(* 1/3 u0) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(* u0 (+ 1/3 (* 1/2 (/ 1 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))) |
(* 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)))) |
(* (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 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(* -1 (pow alpha 4)) |
(+ (* -1 (pow alpha 4)) (* u0 (+ (* -1/2 (pow alpha 4)) (* 1/2 (pow alpha 4))))) |
(+ (* -1 (pow alpha 4)) (* u0 (+ (* -1/2 (pow alpha 4)) (+ (* 1/2 (pow alpha 4)) (* u0 (+ (* -1/3 (pow alpha 4)) (+ (* 1/4 (pow alpha 4)) (* 1/3 (pow alpha 4))))))))) |
(+ (* -1 (pow alpha 4)) (* u0 (+ (* -1/2 (pow alpha 4)) (+ (* 1/2 (pow alpha 4)) (* u0 (+ (* -1/3 (pow alpha 4)) (+ (* 1/4 (pow alpha 4)) (+ (* 1/3 (* (pow alpha 4) u0)) (* 1/3 (pow alpha 4)))))))))) |
(* 1/9 (* (pow alpha 4) (pow u0 4))) |
(* (pow u0 4) (+ (* 1/9 (pow alpha 4)) (* 1/3 (/ (pow alpha 4) u0)))) |
(* (pow u0 4) (+ (* -1/3 (/ (pow alpha 4) (pow u0 2))) (+ (* 1/9 (pow alpha 4)) (+ (* 1/4 (/ (pow alpha 4) (pow u0 2))) (+ (* 1/3 (/ (pow alpha 4) u0)) (* 1/3 (/ (pow alpha 4) (pow u0 2)))))))) |
(* (pow u0 4) (+ (* -1/2 (/ (pow alpha 4) (pow u0 3))) (+ (* -1/3 (/ (pow alpha 4) (pow u0 2))) (+ (* 1/9 (pow alpha 4)) (+ (* 1/4 (/ (pow alpha 4) (pow u0 2))) (+ (* 1/3 (/ (pow alpha 4) u0)) (+ (* 1/3 (/ (pow alpha 4) (pow u0 2))) (* 1/2 (/ (pow alpha 4) (pow u0 3)))))))))) |
(* 1/9 (* (pow alpha 4) (pow u0 4))) |
(* (pow u0 4) (+ (* 1/9 (pow alpha 4)) (* 1/3 (/ (pow alpha 4) u0)))) |
(* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow alpha 4)) (+ (* 1/4 (pow alpha 4)) (* 1/3 (pow alpha 4)))) u0)) (* -1/3 (pow alpha 4))) u0)) (* 1/9 (pow alpha 4)))) |
(* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow alpha 4)) (* 1/2 (pow alpha 4))) u0)) (+ (* -1/3 (pow alpha 4)) (+ (* 1/4 (pow alpha 4)) (* 1/3 (pow alpha 4))))) u0)) (* -1/3 (pow alpha 4))) u0)) (* 1/9 (pow alpha 4)))) |
| Outputs |
|---|
(* -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 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
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(*.f32 (*.f32 alpha alpha) u0) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(* (pow alpha 4) (* (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))) (- (* u0 (+ 1/2 (* 1/3 u0))) 1))) |
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(* -1 (pow alpha 4)) |
(neg.f32 (pow.f32 alpha #s(literal 4 binary32))) |
(+ (* -1 (pow alpha 4)) (* u0 (+ (* -1/2 (pow alpha 4)) (* 1/2 (pow alpha 4))))) |
(neg.f32 (pow.f32 alpha #s(literal 4 binary32))) |
(+ (* -1 (pow alpha 4)) (* u0 (+ (* -1/2 (pow alpha 4)) (+ (* 1/2 (pow alpha 4)) (* u0 (+ (* -1/3 (pow alpha 4)) (+ (* 1/4 (pow alpha 4)) (* 1/3 (pow alpha 4))))))))) |
(fma.f32 u0 (*.f32 u0 (*.f32 #s(literal 1/4 binary32) (pow.f32 alpha #s(literal 4 binary32)))) (neg.f32 (pow.f32 alpha #s(literal 4 binary32)))) |
(+ (* -1 (pow alpha 4)) (* u0 (+ (* -1/2 (pow alpha 4)) (+ (* 1/2 (pow alpha 4)) (* u0 (+ (* -1/3 (pow alpha 4)) (+ (* 1/4 (pow alpha 4)) (+ (* 1/3 (* (pow alpha 4) u0)) (* 1/3 (pow alpha 4)))))))))) |
(fma.f32 u0 (*.f32 u0 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/4 binary32)))) (neg.f32 (pow.f32 alpha #s(literal 4 binary32)))) |
(* 1/9 (* (pow alpha 4) (pow u0 4))) |
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1/9 binary32))) |
(* (pow u0 4) (+ (* 1/9 (pow alpha 4)) (* 1/3 (/ (pow alpha 4) u0)))) |
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1/9 binary32) (/.f32 #s(literal 1/3 binary32) u0)))) |
(* (pow u0 4) (+ (* -1/3 (/ (pow alpha 4) (pow u0 2))) (+ (* 1/9 (pow alpha 4)) (+ (* 1/4 (/ (pow alpha 4) (pow u0 2))) (+ (* 1/3 (/ (pow alpha 4) u0)) (* 1/3 (/ (pow alpha 4) (pow u0 2)))))))) |
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (fma.f32 #s(literal 1/3 binary32) (/.f32 (pow.f32 alpha #s(literal 4 binary32)) u0) (fma.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 u0 u0)) #s(literal 7/12 binary32) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1/9 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 u0 u0))))))) |
(* (pow u0 4) (+ (* -1/2 (/ (pow alpha 4) (pow u0 3))) (+ (* -1/3 (/ (pow alpha 4) (pow u0 2))) (+ (* 1/9 (pow alpha 4)) (+ (* 1/4 (/ (pow alpha 4) (pow u0 2))) (+ (* 1/3 (/ (pow alpha 4) u0)) (+ (* 1/3 (/ (pow alpha 4) (pow u0 2))) (* 1/2 (/ (pow alpha 4) (pow u0 3)))))))))) |
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (fma.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 u0 u0)) (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u0)) (fma.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1/9 binary32) (fma.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) u0) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u0 u0))) (*.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 u0 u0)) #s(literal 7/12 binary32)))))) |
(* 1/9 (* (pow alpha 4) (pow u0 4))) |
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1/9 binary32))) |
(* (pow u0 4) (+ (* 1/9 (pow alpha 4)) (* 1/3 (/ (pow alpha 4) u0)))) |
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1/9 binary32) (/.f32 #s(literal 1/3 binary32) u0)))) |
(* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow alpha 4)) (+ (* 1/4 (pow alpha 4)) (* 1/3 (pow alpha 4)))) u0)) (* -1/3 (pow alpha 4))) u0)) (* 1/9 (pow alpha 4)))) |
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (-.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1/9 binary32)) (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 alpha #s(literal 4 binary32)) u0) (*.f32 #s(literal -1/3 binary32) (pow.f32 alpha #s(literal 4 binary32)))) u0))) |
(* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow alpha 4)) (* 1/2 (pow alpha 4))) u0)) (+ (* -1/3 (pow alpha 4)) (+ (* 1/4 (pow alpha 4)) (* 1/3 (pow alpha 4))))) u0)) (* -1/3 (pow alpha 4))) u0)) (* 1/9 (pow alpha 4)))) |
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (-.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1/9 binary32)) (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 alpha #s(literal 4 binary32)) u0) (*.f32 #s(literal -1/3 binary32) (pow.f32 alpha #s(literal 4 binary32)))) u0))) |
Compiled 115 626 to 6 188 computations (94.6% saved)
37 alts after pruning (31 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 172 | 13 | 2 185 |
| Fresh | 8 | 18 | 26 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 183 | 37 | 2 220 |
| Status | Accuracy | Program |
|---|---|---|
| 88.7% | (fma.f32 (*.f32 alpha u0) alpha (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha #s(literal 1/2 binary32)))) | |
| ▶ | 92.3% | (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))))) |
| 98.7% | (/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) | |
| 93.1% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u0 (fma.f32 (/.f32 u0 (*.f32 alpha alpha)) #s(literal -1/12 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) u0)) | |
| 98.7% | (*.f32 (/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) alpha)) alpha) | |
| 93.3% | (*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) 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)))) | |
| 75.9% | (*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (neg.f32 u0)) | |
| ✓ | 98.7% | (*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0))) |
| 93.2% | (*.f32 (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (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)))) | |
| 91.7% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha)))) u0) (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)))) | |
| 98.3% | (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (log1p.f32 (neg.f32 u0))) | |
| 50.0% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (-.f32 (log1p.f32 (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.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 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32))))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) | |
| 55.2% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (fma.f32 u0 (fma.f32 (*.f32 u0 u0) (-.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) #s(literal 1 binary32))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) | |
| 93.3% | (*.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)))) | |
| 91.8% | (*.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)))) | |
| 88.4% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) | |
| ✓ | 98.8% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
| ✓ | 54.4% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| ▶ | 98.8% | (*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
| ▶ | 91.7% | (*.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)))) |
| 91.9% | (*.f32 (*.f32 u0 u0) (fma.f32 u0 (/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) | |
| ▶ | 92.1% | (*.f32 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) alpha) |
| 92.3% | (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) u0) | |
| ✓ | 75.8% | (*.f32 (*.f32 alpha u0) alpha) |
| 92.1% | (*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0 u0)) | |
| 88.6% | (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) | |
| 91.8% | (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) #s(literal 1/2 binary32)))) | |
| 93.5% | (*.f32 u0 (fma.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 #s(literal 1/2 binary32) #s(literal 1 binary32))))) | |
| 93.7% | (*.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))) | |
| ✓ | 92.2% | (*.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))) |
| 88.7% | (*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (*.f32 alpha alpha))) | |
| 92.4% | (*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) | |
| 75.7% | (*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha alpha))) | |
| 75.8% | (*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) | |
| 75.8% | (*.f32 u0 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) | |
| ▶ | 88.6% | (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
| ✓ | 75.8% | (*.f32 u0 (*.f32 alpha alpha)) |
Compiled 1 263 to 703 computations (44.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 u0 u0) |
| ✓ | cost-diff | 0 | (*.f32 u0 (*.f32 u0 u0)) |
| ✓ | cost-diff | 256 | (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))) |
| ✓ | cost-diff | 832 | (*.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)))) |
| ✓ | cost-diff | 0 | (*.f32 u0 (*.f32 alpha u0)) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 alpha alpha) |
| ✓ | cost-diff | 320 | (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))))) |
| ✓ | cost-diff | 0 | (*.f32 u0 u0) |
| ✓ | cost-diff | 0 | (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0) |
| ✓ | cost-diff | 0 | (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) 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 (*.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 | (neg.f32 u0) |
| ✓ | cost-diff | 0 | (log1p.f32 (neg.f32 u0)) |
| ✓ | cost-diff | 0 | (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
| 13 628× | lower-fma.f64 |
| 13 618× | lower-fma.f32 |
| 3 458× | lower-*.f64 |
| 3 430× | lower-*.f32 |
| 1 574× | lower-+.f64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 218 |
| 0 | 61 | 203 |
| 1 | 157 | 202 |
| 2 | 480 | 202 |
| 3 | 1380 | 202 |
| 4 | 2321 | 202 |
| 5 | 4051 | 202 |
| 6 | 6260 | 200 |
| 7 | 7796 | 200 |
| 0 | 8168 | 200 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 u0) |
u0 |
(neg.f32 alpha) |
alpha |
(*.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 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) alpha) |
(*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) |
alpha |
(fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0) |
(*.f32 u0 u0) |
u0 |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
#s(literal 1/3 binary32) |
#s(literal 1/2 binary32) |
(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))))) |
(*.f32 alpha alpha) |
alpha |
u0 |
(*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
(*.f32 u0 (*.f32 alpha u0)) |
(*.f32 alpha u0) |
(*.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 (*.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 u0)) |
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 alpha alpha) |
alpha |
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) |
#s(literal 1/3 binary32) |
(/.f32 #s(literal 1/2 binary32) u0) |
#s(literal 1/2 binary32) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
| Outputs |
|---|
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 u0) |
u0 |
(neg.f32 alpha) |
alpha |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 u0 (*.f32 alpha (fma.f32 u0 (*.f32 alpha #s(literal 1/2 binary32)) alpha))) |
u0 |
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(*.f32 alpha (fma.f32 u0 (*.f32 alpha #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 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) alpha) |
(*.f32 alpha (*.f32 u0 (fma.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u0 alpha) 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 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u0 alpha) alpha)) |
alpha |
(fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0) |
(*.f32 u0 u0) |
u0 |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
#s(literal 1/3 binary32) |
#s(literal 1/2 binary32) |
(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))))) |
(*.f32 alpha (*.f32 u0 (fma.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u0 alpha) alpha))) |
(*.f32 alpha alpha) |
alpha |
u0 |
(*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
(*.f32 u0 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(*.f32 u0 (*.f32 alpha u0)) |
(*.f32 u0 (*.f32 u0 alpha)) |
(*.f32 alpha u0) |
(*.f32 u0 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 (*.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 alpha (*.f32 u0 (fma.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u0 alpha) alpha))) |
(*.f32 u0 (*.f32 u0 u0)) |
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 (*.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0))) |
(*.f32 alpha alpha) |
alpha |
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) |
#s(literal 1/3 binary32) |
(/.f32 #s(literal 1/2 binary32) u0) |
#s(literal 1/2 binary32) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.3% | (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) |
| ✓ | accuracy | 99.3% | (*.f32 u0 (*.f32 u0 u0)) |
| ✓ | accuracy | 99.0% | (/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
| ✓ | accuracy | 98.8% | (*.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)))) |
| ✓ | accuracy | 99.2% | (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))))) |
| ✓ | accuracy | 99.0% | (*.f32 u0 (*.f32 alpha u0)) |
| ✓ | accuracy | 99.0% | (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
| ✓ | accuracy | 98.8% | (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
| ✓ | accuracy | 100.0% | (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
| ✓ | accuracy | 100.0% | (*.f32 u0 u0) |
| ✓ | accuracy | 99.3% | (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) |
| ✓ | accuracy | 99.2% | (*.f32 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) alpha) |
| ✓ | accuracy | 100.0% | (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 99.1% | (*.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 alpha) |
| ✓ | accuracy | 100.0% | (log1p.f32 (neg.f32 u0)) |
| ✓ | accuracy | 99.3% | (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
| ✓ | accuracy | 99.1% | (*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
| 61.0ms | 254× | 0 | valid |
| 2.0ms | 2× | 5 | exit |
Compiled 243 to 37 computations (84.8% saved)
ival-mult: 29.0ms (60.4% of total)ival-add: 6.0ms (12.5% of total)const: 4.0ms (8.3% of total)ival-div: 4.0ms (8.3% of total)ival-log1p: 2.0ms (4.2% of total)ival-neg: 2.0ms (4.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)> |
#<alt (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha))> |
#<alt (log1p.f32 (neg.f32 u0))> |
#<alt (neg.f32 u0)> |
#<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 (*.f32 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) alpha)> |
#<alt (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0))> |
#<alt (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)> |
#<alt (*.f32 u0 u0)> |
#<alt (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)))))> |
#<alt (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))> |
#<alt (*.f32 u0 (*.f32 alpha u0))> |
#<alt (*.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))))> |
#<alt (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)))> |
#<alt (*.f32 u0 (*.f32 u0 u0))> |
#<alt (neg.f32 alpha)> |
#<alt (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 alpha alpha) (*.f32 u0 u0))> |
#<alt (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0))> |
| Outputs |
|---|
#<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) (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 (* alpha u0)> |
#<alt (* u0 (+ alpha (* 1/2 (* alpha u0))))> |
#<alt (* u0 (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha)))))> |
#<alt (* u0 (+ alpha (* u0 (+ (* 1/2 alpha) (* u0 (+ (* 1/4 (* alpha u0)) (* 1/3 alpha)))))))> |
#<alt (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0))))))> |
#<alt (+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ alpha u0))> |
#<alt (+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0)))> |
#<alt (+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ alpha (pow u0 3))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0))))> |
#<alt (* alpha (log (/ -1 u0)))> |
#<alt (+ (* alpha (log (/ -1 u0))) (/ alpha u0))> |
#<alt (+ (* -1 (/ (+ (* -1 alpha) (* -1/2 (/ alpha u0))) u0)) (* alpha (log (/ -1 u0))))> |
#<alt (+ (* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* 1/3 (/ alpha u0)) (* 1/2 alpha)) u0))) u0)) (* alpha (log (/ -1 u0))))> |
#<alt (* -1 (* alpha (log (- 1 u0))))> |
#<alt (* -1 (* alpha (log (- 1 u0))))> |
#<alt (* -1 (* alpha (log (- 1 u0))))> |
#<alt (* -1 (* alpha (log (- 1 u0))))> |
#<alt (* -1 (* alpha (log (- 1 u0))))> |
#<alt (* -1 (* alpha (log (- 1 u0))))> |
#<alt (* -1 (* alpha (log (- 1 u0))))> |
#<alt (* -1 (* alpha (log (- 1 u0))))> |
#<alt (* -1 (* alpha (log (- 1 u0))))> |
#<alt (* -1 (* alpha (log (- 1 u0))))> |
#<alt (* -1 (* alpha (log (- 1 u0))))> |
#<alt (* -1 (* alpha (log (- 1 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 (* (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) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 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 (* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* alpha u0)> |
#<alt (* u0 (+ alpha (* 1/2 (* alpha u0))))> |
#<alt (* u0 (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha)))))> |
#<alt (* u0 (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha)))))> |
#<alt (* 1/3 (* alpha (pow u0 3)))> |
#<alt (* (pow u0 3) (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))> |
#<alt (* (pow u0 3) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2)))))> |
#<alt (* (pow u0 3) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2)))))> |
#<alt (* 1/3 (* alpha (pow u0 3)))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 alpha) (/ alpha u0)) u0)) (* -1/3 alpha))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 alpha) (/ alpha u0)) u0)) (* -1/3 alpha))))> |
#<alt u0> |
#<alt (* u0 (+ 1 (* 1/2 u0)))> |
#<alt (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))> |
#<alt (* 1/3 (pow u0 3))> |
#<alt (* (pow u0 3) (+ 1/3 (* 1/2 (/ 1 u0))))> |
#<alt (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* 1/3 (pow u0 3))> |
#<alt (* (pow u0 3) (+ 1/3 (* 1/2 (/ 1 u0))))> |
#<alt (* -1 (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)))> |
#<alt (* -1 (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)))> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (pow u0 2)> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))> |
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 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 (* 1/2 (* (pow alpha 2) (pow u0 2)))> |
#<alt (* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))> |
#<alt (* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))> |
#<alt (* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (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))))> |
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))> |
#<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) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))> |
#<alt (* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 2))> |
#<alt (* alpha (pow u0 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) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))> |
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))> |
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))> |
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))> |
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))> |
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))> |
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))> |
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))> |
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))> |
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))> |
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))> |
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))> |
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))> |
#<alt (/ (pow alpha 2) (pow u0 2))> |
#<alt (/ (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) (pow u0 2))> |
#<alt (/ (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) (pow u0 2))> |
#<alt (/ (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) (pow u0 2))> |
#<alt (* 1/3 (pow alpha 2))> |
#<alt (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))> |
#<alt (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))> |
#<alt (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))> |
#<alt (* 1/3 (pow alpha 2))> |
#<alt (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2)))> |
#<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 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 1/2> |
#<alt (+ 1/2 (* 1/3 u0))> |
#<alt (+ 1/2 (* 1/3 u0))> |
#<alt (+ 1/2 (* 1/3 u0))> |
#<alt (* 1/3 u0)> |
#<alt (* u0 (+ 1/3 (* 1/2 (/ 1 u0))))> |
#<alt (* u0 (+ 1/3 (* 1/2 (/ 1 u0))))> |
#<alt (* u0 (+ 1/3 (* 1/2 (/ 1 u0))))> |
#<alt (* 1/3 u0)> |
#<alt (* u0 (+ 1/3 (* 1/2 (/ 1 u0))))> |
#<alt (* u0 (+ 1/3 (* 1/2 (/ 1 u0))))> |
#<alt (* u0 (+ 1/3 (* 1/2 (/ 1 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 (* 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 (/ (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 (/ 1/2 u0)> |
#<alt (/ (+ 1/2 (* 1/3 u0)) u0)> |
#<alt (/ (+ 1/2 (* 1/3 u0)) u0)> |
#<alt (/ (+ 1/2 (* 1/3 u0)) u0)> |
#<alt 1/3> |
#<alt (+ 1/3 (* 1/2 (/ 1 u0)))> |
#<alt (+ 1/3 (* 1/2 (/ 1 u0)))> |
#<alt (+ 1/3 (* 1/2 (/ 1 u0)))> |
#<alt 1/3> |
#<alt (+ 1/3 (* 1/2 (/ 1 u0)))> |
#<alt (+ 1/3 (* 1/2 (/ 1 u0)))> |
#<alt (+ 1/3 (* 1/2 (/ 1 u0)))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | alpha | @ | 0 | (* (log (+ 1 (neg u0))) (neg alpha)) |
| 2.0ms | alpha | @ | 0 | (* u0 (* (* alpha alpha) (+ (* u0 1/2) 1))) |
| 1.0ms | alpha | @ | 0 | (* (* u0 (* u0 u0)) (+ (* (* alpha alpha) (+ 1/3 (/ 1/2 u0))) (/ (* alpha alpha) (* u0 u0)))) |
| 1.0ms | alpha | @ | inf | (* (* u0 (* u0 u0)) (+ (* (* alpha alpha) (+ 1/3 (/ 1/2 u0))) (/ (* alpha alpha) (* u0 u0)))) |
| 1.0ms | u0 | @ | -inf | (* u0 (* (* alpha alpha) (+ (* u0 1/2) 1))) |
| 1× | batch-egg-rewrite |
| 7 210× | lower-fma.f64 |
| 7 200× | lower-fma.f32 |
| 5 606× | lower-*.f64 |
| 5 578× | lower-*.f32 |
| 4 592× | lower-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 181 |
| 0 | 61 | 173 |
| 1 | 258 | 165 |
| 2 | 2056 | 163 |
| 0 | 9353 | 163 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 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 #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(*.f32 alpha alpha) |
(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) |
(*.f32 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) alpha) |
(*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) |
(fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0) |
(*.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))))) |
(*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) |
(*.f32 u0 (*.f32 alpha u0)) |
(*.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)))) |
(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 u0)) |
(neg.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 alpha alpha) (*.f32 u0 u0)) |
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) |
| Outputs |
|---|
(neg.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) alpha) alpha)) |
(neg.f32 (*.f32 alpha (*.f32 (log1p.f32 (neg.f32 u0)) alpha))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) |
(*.f32 alpha (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha))) |
(*.f32 (neg.f32 alpha) (*.f32 (log1p.f32 (neg.f32 u0)) alpha)) |
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) alpha) (neg.f32 alpha)) |
(neg.f32 (*.f32 (log1p.f32 (neg.f32 u0)) alpha)) |
(-.f32 #s(literal 0 binary32) (*.f32 (log1p.f32 (neg.f32 u0)) alpha)) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 #s(literal -1 binary32) (*.f32 (log1p.f32 (neg.f32 u0)) alpha)) |
(*.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) alpha) |
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) #s(literal -1 binary32)) alpha) |
(log1p.f32 (neg.f32 u0)) |
(neg.f32 (log.f32 (/.f32 (fma.f32 (neg.f32 u0) (-.f32 (neg.f32 u0) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32))))) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (*.f32 u0 u0))))) |
(+.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u0) (-.f32 (neg.f32 u0) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0)))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (neg.f32 u0) (-.f32 (neg.f32 u0) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (*.f32 u0 u0))))) |
(-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (-.f32 (*.f32 u0 u0) (neg.f32 u0)))) |
(-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log.f32 (fma.f32 u0 u0 (+.f32 #s(literal 1 binary32) u0)))) |
(-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)) |
(-.f32 (log.f32 (neg.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (neg.f32 u0) (-.f32 (neg.f32 u0) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u0)))) |
(-.f32 (log.f32 (-.f32 (*.f32 u0 u0) #s(literal 1 binary32))) (log.f32 (-.f32 (neg.f32 u0) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0)))) (log1p.f32 (fma.f32 u0 u0 (*.f32 #s(literal 1 binary32) u0)))) |
(log.f32 (-.f32 #s(literal 1 binary32) u0)) |
(neg.f32 u0) |
(neg.f32 (*.f32 #s(literal 1 binary32) u0)) |
(+.f32 #s(literal 0 binary32) (neg.f32 u0)) |
(-.f32 #s(literal 0 binary32) u0) |
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) u0)) (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 0 binary32) u0))) |
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0)))) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0))))) |
(/.f32 (*.f32 u0 u0) (neg.f32 (+.f32 #s(literal 0 binary32) u0))) |
(/.f32 (neg.f32 (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0)) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 (*.f32 u0 u0))) (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 (*.f32 u0 u0)))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0))))) |
(/.f32 (+.f32 #s(literal 0 binary32) (*.f32 u0 (*.f32 u0 u0))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 u0 u0) (*.f32 #s(literal 0 binary32) (neg.f32 u0))))) |
(*.f32 u0 #s(literal -1 binary32)) |
(*.f32 (neg.f32 u0) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (neg.f32 u0)) |
(*.f32 #s(literal -1 binary32) u0) |
(+.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))) (*.f32 u0 (*.f32 alpha alpha))) |
(+.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 #s(literal 1/2 binary32)))) |
(+.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 #s(literal 1/2 binary32))) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1 binary32))) |
(+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) u0) (*.f32 u0 (*.f32 alpha alpha))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 alpha alpha)))) |
(+.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 alpha alpha)))) |
(fma.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 u0 (*.f32 alpha alpha))) |
(fma.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 alpha alpha)) (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 alpha alpha)))) |
(fma.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 #s(literal 1/2 binary32)))) |
(fma.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 alpha alpha)) (*.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 alpha alpha)))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) u0 (*.f32 u0 (*.f32 alpha alpha))) |
(/.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32) #s(literal 1 binary32))) (-.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal 1 binary32)) (*.f32 u0 #s(literal 1/2 binary32)))) |
(/.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal -1 binary32))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32) #s(literal 1 binary32)))) (neg.f32 (-.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal 1 binary32)) (*.f32 u0 #s(literal 1/2 binary32))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #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 u0 (*.f32 alpha alpha)))) #s(literal 3 binary32)) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 (*.f32 alpha alpha)))))) (fma.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 (*.f32 alpha alpha)))) (*.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))) (*.f32 u0 (*.f32 alpha alpha)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 #s(literal 1/2 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 #s(literal 1/2 binary32))) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 #s(literal 1/2 binary32))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 #s(literal 1/2 binary32))) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 #s(literal 1/2 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 #s(literal 1/2 binary32))) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1 binary32)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) u0) #s(literal 3 binary32)) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 (*.f32 alpha alpha)))))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) u0) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) u0) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 (*.f32 alpha alpha)))) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) u0) (*.f32 u0 (*.f32 alpha alpha)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 alpha alpha))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 alpha alpha))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 alpha alpha))) (-.f32 (*.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 alpha alpha)))) (*.f32 (*.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 alpha alpha))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 alpha alpha))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 alpha alpha))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 alpha alpha))) (-.f32 (*.f32 (*.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 alpha alpha)))) (*.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 alpha alpha))))))) |
(*.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))) |
(*.f32 alpha (*.f32 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
(*.f32 alpha (*.f32 (*.f32 u0 alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.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 u0 (*.f32 alpha alpha))) |
(*.f32 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) u0) |
(*.f32 (*.f32 u0 alpha) (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.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 (*.f32 alpha alpha) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 alpha alpha)) |
(fma.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 alpha alpha)) |
(fma.f32 alpha alpha (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))) |
(fma.f32 alpha (*.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))) |
(fma.f32 alpha (*.f32 alpha (*.f32 u0 #s(literal 1/2 binary32))) (*.f32 alpha alpha)) |
(fma.f32 (*.f32 alpha alpha) #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))) |
(fma.f32 (*.f32 alpha alpha) (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha)) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)) (*.f32 alpha alpha)) |
(fma.f32 #s(literal 1 binary32) (*.f32 alpha alpha) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))) |
(fma.f32 (*.f32 u0 (*.f32 alpha alpha)) #s(literal 1/2 binary32) (*.f32 alpha alpha)) |
(fma.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha) (*.f32 alpha alpha)) |
(fma.f32 (*.f32 #s(literal 1 binary32) alpha) alpha (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))) |
(fma.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) alpha) alpha (*.f32 alpha alpha)) |
(fma.f32 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) u0 (*.f32 alpha alpha)) |
(fma.f32 (exp.f32 (log.f32 alpha)) (exp.f32 (log.f32 alpha)) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))) |
(-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 alpha alpha))) (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 alpha alpha))))) |
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 alpha alpha))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32) #s(literal 1 binary32))) (-.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal 1 binary32)) (*.f32 u0 #s(literal 1/2 binary32)))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal -1 binary32))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32))) |
(/.f32 (*.f32 (fma.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)) (-.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal 1 binary32)) (*.f32 u0 #s(literal 1/2 binary32)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal -1 binary32)) (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))))) (neg.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 alpha alpha)))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (neg.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 alpha alpha)))) |
(/.f32 (neg.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32) #s(literal 1 binary32)))) (neg.f32 (-.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal 1 binary32)) (*.f32 u0 #s(literal 1/2 binary32))))) |
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(/.f32 (neg.f32 (+.f32 #s(literal 1/27 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 u0 (*.f32 u0 u0))))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) u0) (-.f32 (/.f32 #s(literal 1/2 binary32) u0) #s(literal 1/3 binary32)) #s(literal 1/9 binary32)))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1/27 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 u0 (*.f32 u0 u0))))) (neg.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 u0 u0)) (-.f32 #s(literal 1/9 binary32) (/.f32 #s(literal 1/6 binary32) u0))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 u0 u0)))) (neg.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)))) |
(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 u0 u0)) #s(literal 1/9 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) u0) #s(literal 1/3 binary32))) |
(/.f32 (-.f32 (*.f32 #s(literal 1/9 binary32) (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0))) (*.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 #s(literal 1/4 binary32) (*.f32 u0 u0)))) (*.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1/27 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 u0 (*.f32 u0 u0)))))) (neg.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) u0) (-.f32 (/.f32 #s(literal 1/2 binary32) u0) #s(literal 1/3 binary32)) #s(literal 1/9 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 u0 u0))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0))))) |
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 u0 u0)) #s(literal 1/9 binary32))) (neg.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) u0) #s(literal 1/3 binary32)))) |
(*.f32 (+.f32 #s(literal 1/27 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 u0 (*.f32 u0 u0)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) u0) (-.f32 (/.f32 #s(literal 1/2 binary32) u0) #s(literal 1/3 binary32)) #s(literal 1/9 binary32)))) |
(*.f32 (-.f32 #s(literal 1/9 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 u0 u0))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)))) |
| 1× | egg-herbie |
| 15 236× | lower-fma.f64 |
| 15 236× | lower-fma.f32 |
| 4 568× | lower-*.f64 |
| 4 568× | lower-*.f32 |
| 2 836× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 4591 |
| 1 | 805 | 4159 |
| 2 | 2462 | 3971 |
| 3 | 5683 | 3937 |
| 0 | 8245 | 3608 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (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) (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)))) |
(* alpha u0) |
(* u0 (+ alpha (* 1/2 (* alpha u0)))) |
(* u0 (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))) |
(* u0 (+ alpha (* u0 (+ (* 1/2 alpha) (* u0 (+ (* 1/4 (* alpha u0)) (* 1/3 alpha))))))) |
(* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) |
(+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ alpha u0)) |
(+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0))) |
(+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ alpha (pow u0 3))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0)))) |
(* alpha (log (/ -1 u0))) |
(+ (* alpha (log (/ -1 u0))) (/ alpha u0)) |
(+ (* -1 (/ (+ (* -1 alpha) (* -1/2 (/ alpha u0))) u0)) (* alpha (log (/ -1 u0)))) |
(+ (* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* 1/3 (/ alpha u0)) (* 1/2 alpha)) u0))) u0)) (* alpha (log (/ -1 u0)))) |
(* -1 (* alpha (log (- 1 u0)))) |
(* -1 (* alpha (log (- 1 u0)))) |
(* -1 (* alpha (log (- 1 u0)))) |
(* -1 (* alpha (log (- 1 u0)))) |
(* -1 (* alpha (log (- 1 u0)))) |
(* -1 (* alpha (log (- 1 u0)))) |
(* -1 (* alpha (log (- 1 u0)))) |
(* -1 (* alpha (log (- 1 u0)))) |
(* -1 (* alpha (log (- 1 u0)))) |
(* -1 (* alpha (log (- 1 u0)))) |
(* -1 (* alpha (log (- 1 u0)))) |
(* -1 (* alpha (log (- 1 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) |
(* (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) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 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))))) |
(* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* alpha (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* alpha u0) |
(* u0 (+ alpha (* 1/2 (* alpha u0)))) |
(* u0 (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))) |
(* u0 (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))) |
(* 1/3 (* alpha (pow u0 3))) |
(* (pow u0 3) (+ (* 1/3 alpha) (* 1/2 (/ alpha u0)))) |
(* (pow u0 3) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2))))) |
(* (pow u0 3) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2))))) |
(* 1/3 (* alpha (pow u0 3))) |
(* -1 (* (pow u0 3) (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha)))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 alpha) (/ alpha u0)) u0)) (* -1/3 alpha)))) |
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 alpha) (/ alpha u0)) u0)) (* -1/3 alpha)))) |
u0 |
(* u0 (+ 1 (* 1/2 u0))) |
(* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))) |
(* 1/3 (pow u0 3)) |
(* (pow u0 3) (+ 1/3 (* 1/2 (/ 1 u0)))) |
(* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* 1/3 (pow u0 3)) |
(* (pow u0 3) (+ 1/3 (* 1/2 (/ 1 u0)))) |
(* -1 (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))) |
(* -1 (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(pow u0 2) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0))))) |
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 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))))) |
(* 1/2 (* (pow alpha 2) (pow u0 2))) |
(* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) |
(* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) |
(* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (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 u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))) |
(* 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) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))))) |
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0)))) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 2)) |
(* alpha (pow u0 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) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))) |
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))) |
(/ (pow alpha 2) (pow u0 2)) |
(/ (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) (pow u0 2)) |
(/ (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) (pow u0 2)) |
(/ (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) (pow u0 2)) |
(* 1/3 (pow alpha 2)) |
(+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))) |
(+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 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)) |
(+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))) |
(+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))) |
(+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))) |
(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 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
(* -1 alpha) |
1/2 |
(+ 1/2 (* 1/3 u0)) |
(+ 1/2 (* 1/3 u0)) |
(+ 1/2 (* 1/3 u0)) |
(* 1/3 u0) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(* 1/3 u0) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(* u0 (+ 1/3 (* 1/2 (/ 1 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))) |
(* 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)))) |
(/ (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)) |
(/ 1/2 u0) |
(/ (+ 1/2 (* 1/3 u0)) u0) |
(/ (+ 1/2 (* 1/3 u0)) u0) |
(/ (+ 1/2 (* 1/3 u0)) u0) |
1/3 |
(+ 1/3 (* 1/2 (/ 1 u0))) |
(+ 1/3 (* 1/2 (/ 1 u0))) |
(+ 1/3 (* 1/2 (/ 1 u0))) |
1/3 |
(+ 1/3 (* 1/2 (/ 1 u0))) |
(+ 1/3 (* 1/2 (/ 1 u0))) |
(+ 1/3 (* 1/2 (/ 1 u0))) |
| Outputs |
|---|
(* (pow alpha 2) u0) |
(*.f32 alpha (*.f32 alpha u0)) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(*.f32 alpha (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) |
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))) |
(*.f32 alpha (*.f32 alpha (fma.f32 u0 (*.f32 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 u0 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) 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 (fma.f32 alpha (-.f32 (neg.f32 (log.f32 u0)) (log.f32 #s(literal -1 binary32))) (/.f32 alpha 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 (fma.f32 alpha (-.f32 (neg.f32 (log.f32 u0)) (log.f32 #s(literal -1 binary32))) (/.f32 alpha 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 (log.f32 (neg.f32 u0)) (*.f32 alpha alpha))) |
(+ (* (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 (log.f32 (neg.f32 u0)) alpha)) (/.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) (log (- 1 u0)))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(* -1 (* (pow alpha 2) (log (- 1 u0)))) |
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0))) |
(* alpha u0) |
(*.f32 alpha u0) |
(* u0 (+ alpha (* 1/2 (* alpha u0)))) |
(*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) |
(* u0 (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))) |
(*.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)) |
(* u0 (+ alpha (* u0 (+ (* 1/2 alpha) (* u0 (+ (* 1/4 (* alpha u0)) (* 1/3 alpha))))))) |
(*.f32 u0 (fma.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 alpha #s(literal 1/2 binary32))) alpha)) |
(* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) |
(*.f32 alpha (-.f32 (neg.f32 (log.f32 u0)) (log.f32 #s(literal -1 binary32)))) |
(+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ alpha u0)) |
(fma.f32 alpha (-.f32 (neg.f32 (log.f32 u0)) (log.f32 #s(literal -1 binary32))) (/.f32 alpha u0)) |
(+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0))) |
(fma.f32 alpha (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u0 u0)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0))) (/.f32 alpha u0)) |
(+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ alpha (pow u0 3))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0)))) |
(fma.f32 alpha (-.f32 (neg.f32 (log.f32 u0)) (log.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 alpha (*.f32 u0 u0)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0)) (/.f32 alpha u0))) |
(* alpha (log (/ -1 u0))) |
(neg.f32 (*.f32 (log.f32 (neg.f32 u0)) alpha)) |
(+ (* alpha (log (/ -1 u0))) (/ alpha u0)) |
(fma.f32 alpha (neg.f32 (log.f32 (neg.f32 u0))) (/.f32 alpha u0)) |
(+ (* -1 (/ (+ (* -1 alpha) (* -1/2 (/ alpha u0))) u0)) (* alpha (log (/ -1 u0)))) |
(fma.f32 alpha (neg.f32 (log.f32 (neg.f32 u0))) (/.f32 (fma.f32 alpha (/.f32 #s(literal 1/2 binary32) u0) alpha) u0)) |
(+ (* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* 1/3 (/ alpha u0)) (* 1/2 alpha)) u0))) u0)) (* alpha (log (/ -1 u0)))) |
(fma.f32 alpha (neg.f32 (log.f32 (neg.f32 u0))) (/.f32 (+.f32 alpha (/.f32 (*.f32 alpha (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0))) u0)) u0)) |
(* -1 (* alpha (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(* -1 (* alpha (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(* -1 (* alpha (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(* -1 (* alpha (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(* -1 (* alpha (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(* -1 (* alpha (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(* -1 (* alpha (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(* -1 (* alpha (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(* -1 (* alpha (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(* -1 (* alpha (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(* -1 (* alpha (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) |
(* -1 (* alpha (log (- 1 u0)))) |
(*.f32 (log1p.f32 (neg.f32 u0)) (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 (+.f32 (log.f32 u0) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u0)) (*.f32 u0 u0))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) 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 (log.f32 (neg.f32 u0)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u0)) 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) u0) (/.f32 #s(literal 1/3 binary32) (*.f32 u0 u0)))) 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) |
(* -1 u0) |
(neg.f32 u0) |
(* (pow alpha 2) u0) |
(*.f32 alpha (*.f32 alpha u0)) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(*.f32 alpha (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(*.f32 alpha (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) |
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))) |
(*.f32 alpha (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) |
(* 1/2 (* (pow alpha 2) (pow u0 2))) |
(*.f32 (*.f32 alpha alpha) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 u0))) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(*.f32 alpha (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(*.f32 alpha (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(*.f32 alpha (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) |
(* 1/2 (* (pow alpha 2) (pow u0 2))) |
(*.f32 (*.f32 alpha alpha) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 u0))) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(*.f32 alpha (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) |
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))) |
(*.f32 alpha (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) |
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(/ (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) (pow u0 2)) |
(/.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) (*.f32 u0 u0)) |
(/ (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) (pow u0 2)) |
(/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (*.f32 u0 u0)) |
(/ (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) (pow u0 2)) |
(/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (*.f32 u0 u0)) |
(* 1/3 (pow alpha 2)) |
(*.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32)) |
(+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))) |
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0))) |
(+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))) |
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u0) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))))) |
(+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))) |
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u0) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))))) |
(* 1/3 (pow alpha 2)) |
(*.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32)) |
(+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))) |
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0))) |
(+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))) |
(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 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))) |
(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)) |
(pow u0 3) |
(*.f32 u0 (*.f32 u0 u0)) |
(pow u0 3) |
(*.f32 u0 (*.f32 u0 u0)) |
(pow u0 3) |
(*.f32 u0 (*.f32 u0 u0)) |
(pow u0 3) |
(*.f32 u0 (*.f32 u0 u0)) |
(pow u0 3) |
(*.f32 u0 (*.f32 u0 u0)) |
(pow u0 3) |
(*.f32 u0 (*.f32 u0 u0)) |
(pow u0 3) |
(*.f32 u0 (*.f32 u0 u0)) |
(pow u0 3) |
(*.f32 u0 (*.f32 u0 u0)) |
(pow u0 3) |
(*.f32 u0 (*.f32 u0 u0)) |
(pow u0 3) |
(*.f32 u0 (*.f32 u0 u0)) |
(pow u0 3) |
(*.f32 u0 (*.f32 u0 u0)) |
(pow u0 3) |
(*.f32 u0 (*.f32 u0 u0)) |
(* -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) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/3 u0)) |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/3 u0)) |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/3 u0)) |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
(* 1/3 u0) |
(*.f32 u0 #s(literal 1/3 binary32)) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
(* 1/3 u0) |
(*.f32 u0 #s(literal 1/3 binary32)) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
(* u0 (+ 1/3 (* 1/2 (/ 1 u0)))) |
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* alpha (+ 1/2 (* 1/3 u0))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* 1/2 alpha) |
(*.f32 alpha #s(literal 1/2 binary32)) |
(+ (* 1/3 (* alpha u0)) (* 1/2 alpha)) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(+ (* 1/3 (* alpha u0)) (* 1/2 alpha)) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(+ (* 1/3 (* alpha u0)) (* 1/2 alpha)) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* 1/3 (* alpha u0)) |
(*.f32 u0 (*.f32 alpha #s(literal 1/3 binary32))) |
(* u0 (+ (* 1/3 alpha) (* 1/2 (/ alpha u0)))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* u0 (+ (* 1/3 alpha) (* 1/2 (/ alpha u0)))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* u0 (+ (* 1/3 alpha) (* 1/2 (/ alpha u0)))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* 1/3 (* alpha u0)) |
(*.f32 u0 (*.f32 alpha #s(literal 1/3 binary32))) |
(* -1 (* u0 (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha)))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* -1 (* u0 (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha)))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(* -1 (* u0 (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha)))) |
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ (pow alpha 2) (pow u0 2)) |
(/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) |
(/ 1/2 u0) |
(/.f32 #s(literal 1/2 binary32) u0) |
(/ (+ 1/2 (* 1/3 u0)) u0) |
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) |
(/ (+ 1/2 (* 1/3 u0)) u0) |
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) |
(/ (+ 1/2 (* 1/3 u0)) u0) |
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* 1/2 (/ 1 u0))) |
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) |
(+ 1/3 (* 1/2 (/ 1 u0))) |
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) |
(+ 1/3 (* 1/2 (/ 1 u0))) |
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* 1/2 (/ 1 u0))) |
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) |
(+ 1/3 (* 1/2 (/ 1 u0))) |
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) |
(+ 1/3 (* 1/2 (/ 1 u0))) |
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) |
Compiled 41 608 to 3 116 computations (92.5% saved)
46 alts after pruning (37 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 451 | 20 | 1 471 |
| Fresh | 9 | 17 | 26 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 462 | 46 | 1 508 |
| Status | Accuracy | Program |
|---|---|---|
| 88.7% | (fma.f32 (*.f32 alpha u0) alpha (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha #s(literal 1/2 binary32)))) | |
| 98.7% | (/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) | |
| 93.1% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u0 (fma.f32 (/.f32 u0 (*.f32 alpha alpha)) #s(literal -1/12 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) u0)) | |
| 92.1% | (*.f32 (fma.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)) (*.f32 u0 alpha)) alpha) | |
| 88.5% | (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 (*.f32 alpha alpha))) | |
| 98.7% | (*.f32 (/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) alpha)) alpha) | |
| 93.3% | (*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) 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)))) | |
| 75.9% | (*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (neg.f32 u0)) | |
| ✓ | 98.7% | (*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0))) |
| 93.2% | (*.f32 (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (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)))) | |
| 96.3% | (*.f32 (*.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0)))) (log1p.f32 (fma.f32 u0 u0 (*.f32 #s(literal 1 binary32) u0)))) (neg.f32 alpha)) alpha) | |
| 93.5% | (*.f32 (*.f32 (*.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))) (neg.f32 alpha)) alpha) | |
| 92.0% | (*.f32 (*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha) | |
| 98.3% | (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (log1p.f32 (neg.f32 u0))) | |
| 93.3% | (*.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)))) | |
| ✓ | 98.8% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) |
| ✓ | 54.4% | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 98.4% | (*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (/.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) | |
| ✓ | 98.8% | (*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
| 93.7% | (*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 alpha #s(literal 1/2 binary32))) alpha)) alpha) | |
| 88.4% | (*.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 alpha alpha)) | |
| 88.7% | (*.f32 (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha) | |
| 75.7% | (*.f32 (*.f32 u0 (*.f32 u0 u0)) (/.f32 (*.f32 alpha alpha) (*.f32 u0 u0))) | |
| 91.9% | (*.f32 (*.f32 u0 u0) (fma.f32 alpha (/.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0) (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32))))) | |
| 88.5% | (*.f32 (*.f32 u0 alpha) (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) | |
| ✓ | 92.1% | (*.f32 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) alpha) |
| 88.6% | (*.f32 (*.f32 alpha (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) alpha) | |
| 92.3% | (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) u0) | |
| 88.6% | (*.f32 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) u0) | |
| ✓ | 75.8% | (*.f32 (*.f32 alpha u0) alpha) |
| 92.1% | (*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0 u0)) | |
| 88.6% | (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) | |
| 91.8% | (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) #s(literal 1/2 binary32)))) | |
| 88.7% | (*.f32 u0 (fma.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) alpha) alpha (*.f32 alpha alpha))) | |
| 93.7% | (*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))) | |
| 93.7% | (*.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))) | |
| ✓ | 92.2% | (*.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))) |
| 89.0% | (*.f32 u0 (fma.f32 alpha alpha (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))))) | |
| 75.7% | (*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha alpha))) | |
| 75.8% | (*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) | |
| 75.8% | (*.f32 u0 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) | |
| ✓ | 88.6% | (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
| 88.8% | (*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) | |
| ✓ | 75.8% | (*.f32 u0 (*.f32 alpha alpha)) |
| 88.4% | (*.f32 alpha (*.f32 (*.f32 u0 alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) | |
| 88.5% | (*.f32 alpha (*.f32 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
Compiled 2 127 to 729 computations (65.7% saved)
| Inputs |
|---|
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 (*.f32 alpha u0) alpha) |
(*.f32 alpha (*.f32 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
(*.f32 alpha (*.f32 (*.f32 u0 alpha) (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 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 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) u0) |
(*.f32 (*.f32 alpha (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) alpha) |
(*.f32 (*.f32 u0 alpha) (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha) |
(*.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 u0 (*.f32 alpha alpha))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
(*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(*.f32 u0 (fma.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) alpha) alpha (*.f32 alpha alpha))) |
(*.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 alpha alpha) (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0 u0)) |
(*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) u0) |
(*.f32 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) alpha) |
(*.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 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha) |
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (neg.f32 u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) alpha))) |
(fma.f32 (*.f32 alpha u0) alpha (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha #s(literal 1/2 binary32)))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 alpha (*.f32 alpha u0)) (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 (fma.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)) (*.f32 u0 alpha)) alpha) |
(*.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 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))) (neg.f32 alpha)) alpha) |
(*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha alpha))) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (/.f32 (*.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))))) |
(*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 alpha #s(literal 1/2 binary32))) 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 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) #s(literal 1/2 binary32)))) |
(*.f32 u0 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))) |
(*.f32 u0 (fma.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 #s(literal 1/2 binary32) #s(literal 1 binary32))))) |
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) 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 u0 u0) (fma.f32 alpha (/.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0) (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32))))) |
(*.f32 (*.f32 u0 u0) (fma.f32 u0 (/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 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 (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (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 #s(literal 1 binary32) (/.f32 (fma.f32 u0 (fma.f32 (/.f32 u0 (*.f32 alpha alpha)) #s(literal -1/12 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) u0)) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha)))) u0) (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)))) |
(/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) |
(*.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 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha))) (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0))) |
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0))) |
(*.f32 (/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) alpha)) alpha) |
(/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(*.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0))) |
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (log1p.f32 (neg.f32 u0))) |
(*.f32 (*.f32 (*.f32 (*.f32 alpha (neg.f32 alpha)) alpha) (/.f32 #s(literal 1 binary32) alpha)) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) (*.f32 alpha alpha)) alpha) (log1p.f32 (neg.f32 u0))) |
(*.f32 (/.f32 (*.f32 (*.f32 alpha (*.f32 alpha (neg.f32 alpha))) alpha) (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) |
(*.f32 (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 alpha (*.f32 (*.f32 alpha (neg.f32 alpha)) alpha))) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (log1p.f32 (neg.f32 u0))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 (*.f32 u0 u0))) (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0)))))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.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 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0)))) (log1p.f32 (fma.f32 u0 u0 (*.f32 #s(literal 1 binary32) u0)))) (neg.f32 alpha)) alpha) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (fma.f32 u0 (fma.f32 (*.f32 u0 u0) (-.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) #s(literal 1 binary32))) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))))) |
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (/.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) |
(*.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 (neg.f32 alpha) alpha) (+.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 (*.f32 (neg.f32 alpha) alpha) (-.f32 (-.f32 (log1p.f32 (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.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 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1 binary32))))) (log1p.f32 (*.f32 u0 (*.f32 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 (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 (-.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 (-.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))))))) |
(*.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 #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)))))))) |
| Outputs |
|---|
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
6 calls:
| 35.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 27.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 23.0ms | alpha |
| 20.0ms | u0 |
| 19.0ms | (-.f32 #s(literal 1 binary32) u0) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | alpha |
| 98.8% | 1 | u0 |
| 98.8% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 98.8% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 98.8% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 98.8% | 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 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
(*.f32 alpha (*.f32 (*.f32 u0 alpha) (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 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 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) u0) |
(*.f32 (*.f32 alpha (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) alpha) |
(*.f32 (*.f32 u0 alpha) (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha) |
(*.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 u0 (*.f32 alpha alpha))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
(*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(*.f32 u0 (fma.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) alpha) alpha (*.f32 alpha alpha))) |
(*.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 alpha alpha) (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0 u0)) |
(*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) u0) |
(*.f32 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) alpha) |
(*.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 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha) |
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (neg.f32 u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) alpha))) |
(fma.f32 (*.f32 alpha u0) alpha (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha #s(literal 1/2 binary32)))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 alpha (*.f32 alpha u0)) (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 (fma.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)) (*.f32 u0 alpha)) alpha) |
(*.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 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))) (neg.f32 alpha)) alpha) |
(*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha alpha))) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (/.f32 (*.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))))) |
(*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 alpha #s(literal 1/2 binary32))) 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 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) #s(literal 1/2 binary32)))) |
(*.f32 u0 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))) |
(*.f32 u0 (fma.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 #s(literal 1/2 binary32) #s(literal 1 binary32))))) |
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) 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 u0 u0) (fma.f32 alpha (/.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0) (*.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32))))) |
(*.f32 (*.f32 u0 u0) (fma.f32 u0 (/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 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 (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (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 #s(literal 1 binary32) (/.f32 (fma.f32 u0 (fma.f32 (/.f32 u0 (*.f32 alpha alpha)) #s(literal -1/12 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) u0)) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha)))) u0) (*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 alpha))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)))) |
(/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) u0) (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 alpha (neg.f32 alpha)))) |
| Outputs |
|---|
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))) |
6 calls:
| 15.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 15.0ms | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 14.0ms | alpha |
| 14.0ms | (-.f32 #s(literal 1 binary32) u0) |
| 14.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 1 | alpha |
| 93.7% | 1 | u0 |
| 93.7% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 93.7% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 93.7% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 93.7% | 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 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
(*.f32 alpha (*.f32 (*.f32 u0 alpha) (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 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 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) u0) |
(*.f32 (*.f32 alpha (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) alpha) |
(*.f32 (*.f32 u0 alpha) (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha) |
(*.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 u0 (*.f32 alpha alpha))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
(*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(*.f32 u0 (fma.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) alpha) alpha (*.f32 alpha alpha))) |
(*.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 alpha alpha) (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0 u0)) |
(*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) u0) |
(*.f32 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) alpha) |
(*.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 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha) |
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (neg.f32 u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) alpha))) |
(fma.f32 (*.f32 alpha u0) alpha (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha #s(literal 1/2 binary32)))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 alpha (*.f32 alpha u0)) (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 (fma.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)) (*.f32 u0 alpha)) alpha) |
(*.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 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))) (neg.f32 alpha)) alpha) |
(*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha alpha))) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (/.f32 (*.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))))) |
(*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 alpha #s(literal 1/2 binary32))) 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 (*.f32 alpha alpha) (*.f32 (*.f32 u0 u0) (fma.f32 u0 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) #s(literal 1/2 binary32)))) |
(*.f32 u0 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) |
| Outputs |
|---|
(*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 alpha #s(literal 1/2 binary32))) alpha)) alpha) |
6 calls:
| 20.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 12.0ms | alpha |
| 12.0ms | u0 |
| 12.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 11.0ms | (-.f32 #s(literal 1 binary32) u0) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 1 | u0 |
| 93.7% | 1 | alpha |
| 93.7% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 93.7% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 93.7% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 93.7% | 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 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
(*.f32 alpha (*.f32 (*.f32 u0 alpha) (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 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 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) u0) |
(*.f32 (*.f32 alpha (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) alpha) |
(*.f32 (*.f32 u0 alpha) (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha) |
(*.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 u0 (*.f32 alpha alpha))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
(*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(*.f32 u0 (fma.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) alpha) alpha (*.f32 alpha alpha))) |
(*.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 alpha alpha) (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0 u0)) |
(*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) u0) |
(*.f32 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) alpha) |
(*.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 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha) |
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (neg.f32 u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) alpha))) |
(fma.f32 (*.f32 alpha u0) alpha (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha #s(literal 1/2 binary32)))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 alpha (*.f32 alpha u0)) (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 (fma.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)) (*.f32 u0 alpha)) alpha) |
(*.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 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))) (neg.f32 alpha)) alpha) |
(*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (*.f32 alpha alpha))) |
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (/.f32 (*.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))))) |
| Outputs |
|---|
(*.f32 (*.f32 (*.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))) (neg.f32 alpha)) alpha) |
6 calls:
| 15.0ms | alpha |
| 11.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 11.0ms | u0 |
| 11.0ms | (-.f32 #s(literal 1 binary32) u0) |
| 10.0ms | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 1 | u0 |
| 93.5% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 93.5% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 93.5% | 1 | alpha |
| 93.5% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 93.5% | 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 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
(*.f32 alpha (*.f32 (*.f32 u0 alpha) (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 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 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) u0) |
(*.f32 (*.f32 alpha (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) alpha) |
(*.f32 (*.f32 u0 alpha) (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha) |
(*.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 u0 (*.f32 alpha alpha))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
(*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(*.f32 u0 (fma.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) alpha) alpha (*.f32 alpha alpha))) |
(*.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 alpha alpha) (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0 u0)) |
(*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) u0) |
(*.f32 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) alpha) |
(*.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 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha) |
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (neg.f32 u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) alpha))) |
(fma.f32 (*.f32 alpha u0) alpha (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha #s(literal 1/2 binary32)))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 alpha (*.f32 alpha u0)) (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 (fma.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)) (*.f32 u0 alpha)) alpha) |
(*.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)))) |
| Outputs |
|---|
(*.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)))) |
6 calls:
| 13.0ms | u0 |
| 13.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 11.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 11.0ms | alpha |
| 9.0ms | (-.f32 #s(literal 1 binary32) u0) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.3% | 1 | alpha |
| 93.3% | 1 | u0 |
| 93.3% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 93.3% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 93.3% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 93.3% | 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 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
(*.f32 alpha (*.f32 (*.f32 u0 alpha) (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 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 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) u0) |
(*.f32 (*.f32 alpha (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) alpha) |
(*.f32 (*.f32 u0 alpha) (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha) |
(*.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 u0 (*.f32 alpha alpha))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
(*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(*.f32 u0 (fma.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) alpha) alpha (*.f32 alpha alpha))) |
(*.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 alpha alpha) (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0 u0)) |
(*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) u0) |
(*.f32 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) alpha) |
(*.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 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha) |
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (neg.f32 u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) alpha))) |
(fma.f32 (*.f32 alpha u0) alpha (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha #s(literal 1/2 binary32)))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 alpha (*.f32 alpha u0)) (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 (fma.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)) (*.f32 u0 alpha)) alpha) |
| Outputs |
|---|
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
6 calls:
| 16.0ms | (-.f32 #s(literal 1 binary32) u0) |
| 9.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 9.0ms | u0 |
| 9.0ms | alpha |
| 8.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 1 | alpha |
| 92.4% | 1 | u0 |
| 92.4% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 92.4% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 92.4% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 92.4% | 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 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
(*.f32 alpha (*.f32 (*.f32 u0 alpha) (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 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 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) u0) |
(*.f32 (*.f32 alpha (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) alpha) |
(*.f32 (*.f32 u0 alpha) (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha) |
(*.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 u0 (*.f32 alpha alpha))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
(*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(*.f32 u0 (fma.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) alpha) alpha (*.f32 alpha alpha))) |
(*.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 alpha alpha) (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0 u0)) |
(*.f32 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) u0) |
(*.f32 (*.f32 alpha (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0)) alpha) |
(*.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 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha) |
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (neg.f32 u0)) |
(*.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) alpha))) |
(fma.f32 (*.f32 alpha u0) alpha (*.f32 (*.f32 u0 (*.f32 alpha u0)) (*.f32 alpha #s(literal 1/2 binary32)))) |
| Outputs |
|---|
(*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) |
6 calls:
| 16.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 9.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 9.0ms | (-.f32 #s(literal 1 binary32) u0) |
| 9.0ms | u0 |
| 8.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 1 | u0 |
| 92.3% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 92.3% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 92.3% | 1 | alpha |
| 92.3% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 92.3% | 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 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
(*.f32 alpha (*.f32 (*.f32 u0 alpha) (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 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 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) u0) |
(*.f32 (*.f32 alpha (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) alpha) |
(*.f32 (*.f32 u0 alpha) (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha) |
(*.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 u0 (*.f32 alpha alpha))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
(*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))))) |
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (*.f32 alpha alpha))) |
(*.f32 u0 (fma.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) alpha) alpha (*.f32 alpha alpha))) |
| Outputs |
|---|
(*.f32 u0 (fma.f32 alpha alpha (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))))) |
6 calls:
| 7.0ms | alpha |
| 6.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 5.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 5.0ms | (-.f32 #s(literal 1 binary32) u0) |
| 5.0ms | u0 |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 89.0% | 1 | alpha |
| 89.0% | 1 | u0 |
| 89.0% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 89.0% | 1 | (-.f32 #s(literal 1 binary32) u0) |
| 89.0% | 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 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
(*.f32 alpha (*.f32 (*.f32 u0 alpha) (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 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 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) u0) |
(*.f32 (*.f32 alpha (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) alpha) |
(*.f32 (*.f32 u0 alpha) (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha) |
(*.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 u0 (*.f32 alpha alpha))) |
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) |
(*.f32 u0 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)) |
| Outputs |
|---|
(*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) |
6 calls:
| 5.0ms | u0 |
| 5.0ms | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 5.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 5.0ms | alpha |
| 5.0ms | (-.f32 #s(literal 1 binary32) u0) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 1 | alpha |
| 88.8% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 88.8% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 88.8% | 1 | (-.f32 #s(literal 1 binary32) u0) |
| 88.8% | 1 | u0 |
| 88.8% | 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 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
(*.f32 alpha (*.f32 (*.f32 u0 alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
| Outputs |
|---|
(*.f32 alpha (*.f32 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
6 calls:
| 3.0ms | (-.f32 #s(literal 1 binary32) u0) |
| 2.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 2.0ms | u0 |
| 2.0ms | alpha |
| 2.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.5% | 1 | alpha |
| 88.5% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 88.5% | 1 | u0 |
| 88.5% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 88.5% | 1 | (-.f32 #s(literal 1 binary32) u0) |
| 88.5% | 1 | (*.f32 (neg.f32 alpha) alpha) |
Compiled 34 to 25 computations (26.5% saved)
Total -0.1b remaining (-0.9%)
Threshold costs -0.1b (-0.9%)
| Inputs |
|---|
(*.f32 u0 (*.f32 alpha alpha)) |
(*.f32 (*.f32 alpha u0) alpha) |
| Outputs |
|---|
(*.f32 u0 (*.f32 alpha alpha)) |
6 calls:
| 3.0ms | (*.f32 (neg.f32 alpha) alpha) |
| 1.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 1.0ms | (-.f32 #s(literal 1 binary32) u0) |
| 1.0ms | alpha |
| 1.0ms | u0 |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 1 | alpha |
| 75.8% | 1 | u0 |
| 75.8% | 1 | (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 75.8% | 1 | (*.f32 (neg.f32 alpha) alpha) |
| 75.8% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 75.8% | 1 | (-.f32 #s(literal 1 binary32) u0) |
Compiled 34 to 25 computations (26.5% saved)
| 1× | egg-herbie |
| 88× | *-commutative_binary32 |
| 28× | neg-sub0_binary32 |
| 28× | neg-mul-1_binary32 |
| 22× | sub-neg_binary32 |
| 22× | +-commutative_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 147 |
| 1 | 95 | 147 |
| 2 | 125 | 147 |
| 3 | 162 | 147 |
| 4 | 177 | 147 |
| 5 | 184 | 147 |
| 6 | 185 | 147 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))) |
(*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 alpha #s(literal 1/2 binary32))) alpha)) alpha) |
(*.f32 (*.f32 (*.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))) (neg.f32 alpha)) alpha) |
(*.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 u0 (fma.f32 alpha alpha (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))))) |
(*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) |
(*.f32 alpha (*.f32 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
(*.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 u0 (fma.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))) |
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha (*.f32 u0 alpha)) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))) |
(*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 alpha #s(literal 1/2 binary32))) alpha)) alpha) |
(*.f32 alpha (*.f32 u0 (fma.f32 u0 (fma.f32 (*.f32 u0 alpha) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 alpha #s(literal 1/2 binary32))) alpha))) |
(*.f32 (*.f32 (*.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))) (neg.f32 alpha)) alpha) |
(*.f32 alpha (*.f32 alpha (*.f32 (neg.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 (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 alpha alpha) (*.f32 (neg.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 u0 (fma.f32 alpha alpha (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 (*.f32 alpha (*.f32 u0 alpha)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) |
(*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))) |
(*.f32 u0 (fma.f32 alpha alpha (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha))))) |
(*.f32 u0 (*.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))) |
(*.f32 alpha (*.f32 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) u0)) |
(*.f32 alpha (*.f32 u0 (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))) |
(*.f32 u0 (*.f32 alpha alpha)) |
| 16 992× | lower-fma.f64 |
| 16 992× | lower-fma.f32 |
| 15 236× | lower-fma.f64 |
| 15 236× | lower-fma.f32 |
| 13 172× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 3569 |
| 1 | 786 | 3295 |
| 2 | 2239 | 3116 |
| 3 | 5847 | 3076 |
| 0 | 8251 | 2846 |
| 0 | 35 | 215 |
| 0 | 69 | 155 |
| 1 | 266 | 145 |
| 2 | 1916 | 145 |
| 0 | 9007 | 135 |
| 0 | 31 | 254 |
| 0 | 60 | 250 |
| 1 | 245 | 171 |
| 2 | 2031 | 169 |
| 0 | 8567 | 166 |
| 0 | 112 | 562 |
| 1 | 307 | 535 |
| 2 | 805 | 502 |
| 3 | 2108 | 490 |
| 4 | 5927 | 483 |
| 0 | 8142 | 455 |
| 0 | 249 | 4591 |
| 1 | 805 | 4159 |
| 2 | 2462 | 3971 |
| 3 | 5683 | 3937 |
| 0 | 8245 | 3608 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 39 | 19 |
| 2 | 180 | 19 |
| 3 | 1310 | 19 |
| 0 | 9491 | 15 |
| 0 | 30 | 181 |
| 0 | 61 | 173 |
| 1 | 258 | 165 |
| 2 | 2056 | 163 |
| 0 | 9353 | 163 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 466 to 257 computations (44.8% saved)
(abs alpha)
Compiled 480 to 236 computations (50.8% saved)
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