
Time bar (total: 12.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.1% | 99.9% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.1% | 99.9% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.1% | 99.9% | 0% | 0% | 0% | 2 |
| 50% | 0.1% | 0.1% | 99.9% | 0% | 0% | 0% | 3 |
| 50% | 0.1% | 0.1% | 99.9% | 0% | 0% | 0% | 4 |
| 75% | 0.1% | 0% | 99.9% | 0% | 0% | 0% | 5 |
| 75% | 0.1% | 0% | 99.9% | 0% | 0% | 0% | 6 |
| 87.5% | 0.1% | 0% | 99.9% | 0% | 0% | 0% | 7 |
| 87.5% | 0.1% | 0% | 99.9% | 0% | 0% | 0% | 8 |
| 93.8% | 0.1% | 0% | 99.9% | 0% | 0% | 0% | 9 |
| 93.8% | 0.1% | 0% | 99.9% | 0% | 0% | 0% | 10 |
| 96.9% | 0.1% | 0% | 99.9% | 0% | 0% | 0% | 11 |
| 96.9% | 0.1% | 0% | 99.9% | 0% | 0% | 0% | 12 |
Compiled 30 to 23 computations (23.3% saved)
| 1.0s | 8 256× | 0 | valid |
ival-mult: 223.0ms (28.8% of total)ival-log: 197.0ms (25.4% of total)ival-div: 123.0ms (15.9% of total)ival-<=: 100.0ms (12.9% of total)ival-sub: 87.0ms (11.2% of total)exact: 21.0ms (2.7% of total)ival-and: 20.0ms (2.6% of total)ival-assert: 3.0ms (0.4% of total)| 1× | egg-herbie |
| 340× | distribute-lft-neg-in |
| 232× | distribute-lft-in |
| 228× | unsub-neg |
| 210× | sub-neg |
| 206× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 71 |
| 1 | 88 | 65 |
| 2 | 231 | 60 |
| 3 | 560 | 50 |
| 4 | 1008 | 50 |
| 5 | 1429 | 50 |
| 6 | 1750 | 50 |
| 7 | 2156 | 50 |
| 8 | 2320 | 50 |
| 9 | 2388 | 50 |
| 10 | 2414 | 50 |
| 11 | 2433 | 50 |
| 12 | 2436 | 50 |
| 0 | 13 | 14 |
| 0 | 20 | 13 |
| 1 | 37 | 13 |
| 2 | 67 | 12 |
| 3 | 134 | 10 |
| 4 | 234 | 10 |
| 5 | 288 | 10 |
| 6 | 354 | 10 |
| 7 | 430 | 10 |
| 8 | 461 | 10 |
| 9 | 477 | 10 |
| 10 | 480 | 10 |
| 11 | 483 | 10 |
| 0 | 483 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| Outputs |
|---|
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
(*.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) (*.f32 s #s(literal -3 binary32))) |
(negabs s)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 7 | 0 | - | 2 | (2.932849462285647e-16 0.2602626383304596) | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 1 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 0 | 0 | - | 0 | - | #s(literal 1/4 binary32) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 3 binary32) s) |
| 0 | 0 | - | 0 | - | (-.f32 u #s(literal 1/4 binary32)) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 0 | 0 | - | 0 | - | #s(literal 3/4 binary32) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary32) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f32 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) | sensitivity | 5 | 4 |
-.f32 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) | cancellation | 1 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5 | 2 |
| - | 1 | 248 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5 | 1 | 1 |
| - | 1 | 5 | 243 |
| number | freq |
|---|---|
| 0 | 250 |
| 1 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 101.0ms | 512× | 0 | valid |
Compiled 150 to 56 computations (62.7% saved)
ival-sub: 66.0ms (76.6% of total)ival-div: 7.0ms (8.1% of total)ival-mult: 6.0ms (7% of total)ival-log: 5.0ms (5.8% of total)exact: 1.0ms (1.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.9% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 #s(literal 3 binary32) s) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| ✓ | cost-diff | 288 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| ✓ | cost-diff | 352 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 172× | lower-fma.f64 |
| 172× | lower-fma.f32 |
| 152× | lower-+.f64 |
| 152× | lower-+.f32 |
| 132× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 57 |
| 0 | 20 | 55 |
| 1 | 37 | 55 |
| 2 | 67 | 54 |
| 3 | 134 | 46 |
| 4 | 234 | 46 |
| 5 | 288 | 46 |
| 6 | 354 | 46 |
| 7 | 430 | 46 |
| 8 | 461 | 46 |
| 9 | 477 | 46 |
| 10 | 480 | 46 |
| 11 | 483 | 46 |
| 0 | 483 | 42 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
(/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
(-.f32 u #s(literal 1/4 binary32)) |
u |
#s(literal 1/4 binary32) |
#s(literal 3/4 binary32) |
| Outputs |
|---|
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
(*.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) (*.f32 s #s(literal -3 binary32))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
(neg.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) |
(/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
(+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -1/3 binary32)) |
(-.f32 u #s(literal 1/4 binary32)) |
(+.f32 u #s(literal -1/4 binary32)) |
u |
#s(literal 1/4 binary32) |
#s(literal 3/4 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| ✓ | accuracy | 98.2% | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| ✓ | accuracy | 97.0% | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 47.0ms | 256× | 0 | valid |
Compiled 59 to 15 computations (74.6% saved)
ival-div: 3.0ms (24.7% of total)ival-log: 3.0ms (24.7% of total)ival-mult: 3.0ms (24.7% of total)ival-sub: 2.0ms (16.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))> |
#<alt (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))> |
#<alt (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))))> |
#<alt (*.f32 #s(literal 3 binary32) s)> |
#<alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))> |
| Outputs |
|---|
#<alt 4/3> |
#<alt (+ 4/3 (* -4/3 u))> |
#<alt (+ 4/3 (* -4/3 u))> |
#<alt (+ 4/3 (* -4/3 u))> |
#<alt (* -4/3 u)> |
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))> |
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))> |
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))> |
#<alt (* -4/3 u)> |
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))> |
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))> |
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))> |
#<alt (log 3/4)> |
#<alt (+ u (log 3/4))> |
#<alt (+ (log 3/4) (* u (+ 1 (* 1/2 u))))> |
#<alt (+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u))))))> |
#<alt (+ (log -3/4) (log (/ 1 u)))> |
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u)))> |
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))> |
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3)))))))> |
#<alt (+ (log 3/4) (log (/ -1 u)))> |
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u)))> |
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))> |
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u))))> |
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))> |
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))> |
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))> |
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))> |
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))> |
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))> |
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))> |
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))> |
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))> |
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))> |
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))> |
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (+ (* 3 (* s u)) (* 3 (* s (log 3/4))))> |
#<alt (+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s))))> |
#<alt (+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))> |
#<alt (* 3 (* s (+ (log -3/4) (log (/ 1 u)))))> |
#<alt (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u)))> |
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u))))> |
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))> |
#<alt (* 3 (* s (+ (log 3/4) (log (/ -1 u)))))> |
#<alt (+ (* 3 (* s (+ (log 3/4) (log (/ -1 u))))) (* 3 (/ s u)))> |
#<alt (+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))> |
#<alt (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt 3/4> |
#<alt (+ 3/4 (* 3/4 u))> |
#<alt (+ 3/4 (* u (+ 3/4 (* 3/4 u))))> |
#<alt (+ 3/4 (* u (+ 3/4 (* u (+ 3/4 (* 3/4 u))))))> |
#<alt (/ -3/4 u)> |
#<alt (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u)> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) (pow u 2))) (+ 3/4 (* 3/4 (/ 1 u)))) u)> |
#<alt (/ -3/4 u)> |
#<alt (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))> |
#<alt (* -1 (/ (+ 3/4 (+ (/ 3/4 (pow u 2)) (* 3/4 (/ 1 u)))) u))> |
#<alt (* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u))) u))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | s | @ | 0 | (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) |
| 1.0ms | s | @ | inf | (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) |
| 0.0ms | u | @ | inf | (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) |
| 0.0ms | u | @ | -inf | (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) |
| 0.0ms | u | @ | inf | (- 1 (/ (- u 1/4) 3/4)) |
| 1× | batch-egg-rewrite |
| 3 394× | lower-*.f64 |
| 3 390× | lower-*.f32 |
| 3 054× | lower-fma.f64 |
| 3 054× | lower-fma.f32 |
| 2 984× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 0 | 20 | 41 |
| 1 | 82 | 41 |
| 2 | 500 | 40 |
| 3 | 6829 | 40 |
| 0 | 8791 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
(*.f32 #s(literal 3 binary32) s) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| Outputs |
|---|
(neg.f32 (+.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) #s(literal -1 binary32))) |
(exp.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
(+.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) |
(+.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u #s(literal 4/3 binary32)))) |
(+.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) #s(literal 27/64 binary32))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (neg.f32 (/.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))))) |
(+.f32 (-.f32 #s(literal 1 binary32) (*.f32 u #s(literal 4/3 binary32))) #s(literal 1/3 binary32)) |
(pow.f32 (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) #s(literal 27/64 binary32))))) |
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(*.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32)))) |
(*.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32)) |
(*.f32 (pow.f32 (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32))) (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) #s(literal -1 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (pow.f32 (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32))) (neg.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) |
(*.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))))) #s(literal 4096/729 binary32)))) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 256/81 binary32)))) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32)))) (neg.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))) (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) |
(*.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32)) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))))) #s(literal 4096/729 binary32))))) (fma.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32)) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))))) #s(literal 4096/729 binary32)))) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32))) |
| 1× | egg-herbie |
| 11 430× | lower-fma.f64 |
| 11 430× | lower-fma.f32 |
| 2 924× | lower-*.f64 |
| 2 924× | lower-*.f32 |
| 2 760× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 703 |
| 1 | 405 | 679 |
| 2 | 1026 | 630 |
| 3 | 2812 | 624 |
| 4 | 5961 | 616 |
| 0 | 8150 | 574 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4/3 |
(+ 4/3 (* -4/3 u)) |
(+ 4/3 (* -4/3 u)) |
(+ 4/3 (* -4/3 u)) |
(* -4/3 u) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(* -4/3 u) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(log 3/4) |
(+ u (log 3/4)) |
(+ (log 3/4) (* u (+ 1 (* 1/2 u)))) |
(+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u)))))) |
(+ (log -3/4) (log (/ 1 u))) |
(+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u))) |
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) |
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))))) |
(+ (log 3/4) (log (/ -1 u))) |
(+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u))) |
(+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) |
(+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(* 3 (* s (log 3/4))) |
(+ (* 3 (* s u)) (* 3 (* s (log 3/4)))) |
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) |
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))) |
(* 3 (* s (+ (log -3/4) (log (/ 1 u))))) |
(+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u)))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (+ (* 3 (/ s u)) (/ s (pow u 3))))) |
(* 3 (* s (+ (log 3/4) (log (/ -1 u))))) |
(+ (* 3 (* s (+ (log 3/4) (log (/ -1 u))))) (* 3 (/ s u))) |
(+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u)))))) |
(+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u)))))) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
3/4 |
(+ 3/4 (* 3/4 u)) |
(+ 3/4 (* u (+ 3/4 (* 3/4 u)))) |
(+ 3/4 (* u (+ 3/4 (* u (+ 3/4 (* 3/4 u)))))) |
(/ -3/4 u) |
(* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) |
(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u) |
(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) (pow u 2))) (+ 3/4 (* 3/4 (/ 1 u)))) u) |
(/ -3/4 u) |
(* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) |
(* -1 (/ (+ 3/4 (+ (/ 3/4 (pow u 2)) (* 3/4 (/ 1 u)))) u)) |
(* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u))) u)) |
| Outputs |
|---|
4/3 |
#s(literal 4/3 binary32) |
(+ 4/3 (* -4/3 u)) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) |
(+ 4/3 (* -4/3 u)) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) |
(+ 4/3 (* -4/3 u)) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) |
(* -4/3 u) |
(*.f32 #s(literal -4/3 binary32) u) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) |
(* -4/3 u) |
(*.f32 #s(literal -4/3 binary32) u) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) |
(log 3/4) |
(log.f32 #s(literal 3/4 binary32)) |
(+ u (log 3/4)) |
(+.f32 u (log.f32 #s(literal 3/4 binary32))) |
(+ (log 3/4) (* u (+ 1 (* 1/2 u)))) |
(fma.f32 u (fma.f32 u #s(literal 1/2 binary32) #s(literal 1 binary32)) (log.f32 #s(literal 3/4 binary32))) |
(+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u)))))) |
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (log.f32 #s(literal 3/4 binary32))) |
(+ (log -3/4) (log (/ 1 u))) |
(-.f32 (log.f32 #s(literal -3/4 binary32)) (log.f32 u)) |
(+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (-.f32 (log.f32 #s(literal -3/4 binary32)) (log.f32 u))) |
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (log.f32 #s(literal -3/4 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u u)) (log.f32 u)))) |
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (log.f32 #s(literal -3/4 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u u)) (-.f32 (log.f32 u) (/.f32 #s(literal 1/3 binary32) (*.f32 u (*.f32 u u))))))) |
(+ (log 3/4) (log (/ -1 u))) |
(-.f32 (log.f32 #s(literal 3/4 binary32)) (log.f32 (neg.f32 u))) |
(+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (-.f32 (log.f32 #s(literal 3/4 binary32)) (log.f32 (neg.f32 u)))) |
(+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) |
(+.f32 (log.f32 #s(literal 3/4 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u u)) (log.f32 (neg.f32 u))))) |
(+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)))) |
(+.f32 (log.f32 #s(literal 3/4 binary32)) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u)) u)) u) (log.f32 (neg.f32 u)))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* 3 (* s (log 3/4))) |
(*.f32 (log.f32 #s(literal 3/4 binary32)) (*.f32 #s(literal 3 binary32) s)) |
(+ (* 3 (* s u)) (* 3 (* s (log 3/4)))) |
(*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) |
(*.f32 s (fma.f32 (*.f32 u u) #s(literal 3/2 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)))) |
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))) |
(*.f32 s (fma.f32 (*.f32 u u) (+.f32 u #s(literal 3/2 binary32)) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)))) |
(* 3 (* s (+ (log -3/4) (log (/ 1 u))))) |
(*.f32 (-.f32 (log.f32 #s(literal -3/4 binary32)) (log.f32 u)) (*.f32 #s(literal 3 binary32) s)) |
(+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u))) |
(*.f32 #s(literal 3 binary32) (fma.f32 (-.f32 (log.f32 #s(literal -3/4 binary32)) (log.f32 u)) s (/.f32 s u))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u)))) |
(fma.f32 (/.f32 s u) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3/2 binary32) u)) (*.f32 (-.f32 (log.f32 #s(literal -3/4 binary32)) (log.f32 u)) (*.f32 #s(literal 3 binary32) s))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (+ (* 3 (/ s u)) (/ s (pow u 3))))) |
(fma.f32 (-.f32 (log.f32 #s(literal -3/4 binary32)) (log.f32 u)) (*.f32 #s(literal 3 binary32) s) (fma.f32 (/.f32 s u) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3/2 binary32) u)) (/.f32 s (*.f32 u (*.f32 u u))))) |
(* 3 (* s (+ (log 3/4) (log (/ -1 u))))) |
(*.f32 (-.f32 (log.f32 #s(literal 3/4 binary32)) (log.f32 (neg.f32 u))) (*.f32 #s(literal 3 binary32) s)) |
(+ (* 3 (* s (+ (log 3/4) (log (/ -1 u))))) (* 3 (/ s u))) |
(*.f32 #s(literal 3 binary32) (fma.f32 (-.f32 (log.f32 #s(literal 3/4 binary32)) (log.f32 (neg.f32 u))) s (/.f32 s u))) |
(+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u)))))) |
(fma.f32 #s(literal 3 binary32) (*.f32 (-.f32 (log.f32 #s(literal 3/4 binary32)) (log.f32 (neg.f32 u))) s) (*.f32 (/.f32 s u) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3/2 binary32) u)))) |
(+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u)))))) |
(fma.f32 #s(literal 3 binary32) (fma.f32 (-.f32 (log.f32 #s(literal 3/4 binary32)) (log.f32 (neg.f32 u))) s (/.f32 s u)) (/.f32 (fma.f32 s #s(literal 3/2 binary32) (/.f32 s u)) (*.f32 u u))) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
3/4 |
#s(literal 3/4 binary32) |
(+ 3/4 (* 3/4 u)) |
(fma.f32 u #s(literal 3/4 binary32) #s(literal 3/4 binary32)) |
(+ 3/4 (* u (+ 3/4 (* 3/4 u)))) |
(fma.f32 u (fma.f32 u #s(literal 3/4 binary32) #s(literal 3/4 binary32)) #s(literal 3/4 binary32)) |
(+ 3/4 (* u (+ 3/4 (* u (+ 3/4 (* 3/4 u)))))) |
(*.f32 (fma.f32 u #s(literal 3/4 binary32) #s(literal 3/4 binary32)) (fma.f32 u u #s(literal 1 binary32))) |
(/ -3/4 u) |
(/.f32 #s(literal -3/4 binary32) u) |
(* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) |
(/.f32 (+.f32 #s(literal -3/4 binary32) (/.f32 #s(literal -3/4 binary32) u)) u) |
(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u) |
(/.f32 (+.f32 #s(literal -3/4 binary32) (/.f32 (+.f32 #s(literal -3/4 binary32) (/.f32 #s(literal -3/4 binary32) u)) u)) u) |
(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) (pow u 2))) (+ 3/4 (* 3/4 (/ 1 u)))) u) |
(/.f32 (*.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 3/4 binary32) u)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u u)))) u) |
(/ -3/4 u) |
(/.f32 #s(literal -3/4 binary32) u) |
(* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) |
(/.f32 (+.f32 #s(literal -3/4 binary32) (/.f32 #s(literal -3/4 binary32) u)) u) |
(* -1 (/ (+ 3/4 (+ (/ 3/4 (pow u 2)) (* 3/4 (/ 1 u)))) u)) |
(/.f32 (+.f32 #s(literal -3/4 binary32) (/.f32 (+.f32 #s(literal -3/4 binary32) (/.f32 #s(literal -3/4 binary32) u)) u)) u) |
(* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u))) u)) |
(/.f32 (*.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 3/4 binary32) u)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u u)))) u) |
Compiled 9 014 to 1 167 computations (87.1% saved)
27 alts after pruning (27 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 294 | 27 | 321 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 295 | 27 | 322 |
| Status | Accuracy | Program |
|---|---|---|
| 97.3% | (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 3 binary32)))) (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 2 binary32))) | |
| 97.4% | (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) | |
| 97.8% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) | |
| 97.9% | (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) | |
| 97.7% | (*.f32 (*.f32 #s(literal 3 binary32) s) (/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 3 binary32))) (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 2 binary32)))) | |
| ▶ | 98.2% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) |
| ▶ | 95.8% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)))))) |
| 98.1% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)) #s(literal 4/3 binary32)))) (log1p.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32))))) | |
| 96.5% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 4/3 binary32)) #s(literal 1 binary32)))))) | |
| 95.5% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32))) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)) #s(literal 4/3 binary32))) (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)) #s(literal 4/3 binary32))) (-.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)) #s(literal 4/3 binary32))) #s(literal 1 binary32)))))) | |
| 95.8% | (*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 256/81 binary32))))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) | |
| 26.2% | (*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) | |
| 97.7% | (*.f32 (*.f32 #s(literal 3 binary32) s) (*.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))))) | |
| 96.0% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32))))) | |
| 95.7% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) | |
| 95.1% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32))) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 4/3 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))))))) | |
| 95.8% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))))) | |
| ▶ | 96.3% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))) |
| 95.7% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 1 binary32)) (-.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)))))) | |
| 95.9% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))))) | |
| 95.8% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32))))))) | |
| ▶ | 95.9% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))))) |
| 95.3% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))))) #s(literal 4096/729 binary32)))) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32))))) | |
| 95.3% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 256/81 binary32)))) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) | |
| ▶ | 7.6% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
| 97.9% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) | |
| 26.2% | (*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
Compiled 1 530 to 908 computations (40.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 #s(literal 3 binary32) s) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)))))) |
| ✓ | cost-diff | 64 | (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) |
| ✓ | cost-diff | 96 | (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 3 binary32) s) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))))) |
| ✓ | cost-diff | 64 | (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 3 binary32) s) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))) |
| ✓ | cost-diff | 288 | (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)))) |
| ✓ | cost-diff | 0 | (log.f32 #s(literal 3/4 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 3 binary32) s) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
| ✓ | cost-diff | 0 | (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 3 binary32) s) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) |
| ✓ | cost-diff | 64 | (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) |
| 14 566× | lower-fma.f64 |
| 14 556× | lower-fma.f32 |
| 3 538× | lower-*.f64 |
| 3 520× | lower-*.f32 |
| 1 956× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 445 |
| 0 | 73 | 441 |
| 1 | 131 | 441 |
| 2 | 293 | 432 |
| 3 | 928 | 432 |
| 4 | 4069 | 432 |
| 5 | 6333 | 432 |
| 0 | 8412 | 407 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))))) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
(log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) |
(*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
(*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) |
#s(literal 16/9 binary32) |
(+.f32 u #s(literal -1/4 binary32)) |
#s(literal -1/4 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(log.f32 #s(literal 3/4 binary32)) |
#s(literal 3/4 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))) |
#s(literal 1 binary32) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) |
#s(literal -4/3 binary32) |
u |
#s(literal 4/3 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) |
(-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal 1 binary32) |
(fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
(*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) |
#s(literal 16/9 binary32) |
(+.f32 u #s(literal -1/4 binary32)) |
#s(literal -1/4 binary32) |
(/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) |
#s(literal 1/3 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(-.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32))))) |
(log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) |
(*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
u |
(*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) |
#s(literal 16/9 binary32) |
(+.f32 u #s(literal -1/4 binary32)) |
#s(literal -1/4 binary32) |
(log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32))) |
(fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) |
#s(literal -4/3 binary32) |
| Outputs |
|---|
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))))) |
(-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32))))) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
(log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) |
(log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))) |
(*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) |
(*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32))) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
(*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
#s(literal 16/9 binary32) |
(+.f32 u #s(literal -1/4 binary32)) |
#s(literal -1/4 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32)))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(log.f32 #s(literal 3/4 binary32)) |
#s(literal 3/4 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))) |
(*.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) (*.f32 s #s(literal -3 binary32))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)))) |
(neg.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) |
#s(literal 1 binary32) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) |
#s(literal -4/3 binary32) |
u |
#s(literal 4/3 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (+.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) #s(literal 1 binary32)))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) |
(log.f32 (+.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) #s(literal 1 binary32))))) |
(-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))) |
(+.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) |
(/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) #s(literal 1 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal 1 binary32) |
(fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) |
(fma.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) #s(literal 1 binary32)) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
(*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
#s(literal 16/9 binary32) |
(+.f32 u #s(literal -1/4 binary32)) |
#s(literal -1/4 binary32) |
(/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) #s(literal 1 binary32))) |
#s(literal 1/3 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) (fma.f32 u #s(literal -16/9 binary32) #s(literal 4/9 binary32)) #s(literal -4/3 binary32)))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(-.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) (fma.f32 u #s(literal -16/9 binary32) #s(literal 4/9 binary32)) #s(literal -4/3 binary32))))) |
(log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) |
(log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))) |
(*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) |
(*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32))) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
u |
(*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
#s(literal 16/9 binary32) |
(+.f32 u #s(literal -1/4 binary32)) |
#s(literal -1/4 binary32) |
(log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)))) |
(log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) (fma.f32 u #s(literal -16/9 binary32) #s(literal 4/9 binary32)) #s(literal -4/3 binary32)))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) #s(literal 1 binary32)) (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) |
(fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) |
(fma.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) |
#s(literal -4/3 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)))))) |
| ✓ | accuracy | 98.7% | (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) |
| ✓ | accuracy | 98.0% | (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) |
| ✓ | accuracy | 97.7% | (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)))) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))))) |
| ✓ | accuracy | 98.9% | (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) |
| ✓ | accuracy | 98.7% | (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) |
| ✓ | accuracy | 97.0% | (log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) |
| ✓ | accuracy | 99.5% | (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))) |
| ✓ | accuracy | 99.0% | (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))) |
| ✓ | accuracy | 97.0% | (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)))) |
| ✓ | accuracy | 100.0% | (*.f32 #s(literal 3 binary32) s) |
| ✓ | accuracy | 100.0% | (log.f32 #s(literal 3/4 binary32)) |
| ✓ | accuracy | 98.3% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
| ✓ | accuracy | 99.2% | (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))))) |
| ✓ | accuracy | 99.1% | (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) |
| ✓ | accuracy | 98.7% | (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) |
| 111.0ms | 256× | 0 | valid |
Compiled 497 to 45 computations (90.9% saved)
ival-log: 28.0ms (33.1% of total)ival-mult: 18.0ms (21.3% of total)const: 17.0ms (20.1% of total)ival-add: 7.0ms (8.3% of total)ival-log1p: 6.0ms (7.1% of total)ival-div: 4.0ms (4.7% of total)ival-sub: 4.0ms (4.7% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))> |
#<alt (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))))))> |
#<alt (*.f32 #s(literal 3 binary32) s)> |
#<alt (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))> |
#<alt (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32)))> |
#<alt (log.f32 #s(literal 3/4 binary32))> |
#<alt (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))> |
#<alt (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)))))> |
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)))> |
#<alt (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))))> |
#<alt (log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))))> |
#<alt (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32))> |
#<alt (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32))))))> |
#<alt (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))))> |
#<alt (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))> |
#<alt (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))> |
#<alt (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))> |
#<alt (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))> |
#<alt (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32))))> |
| Outputs |
|---|
#<alt -4/9> |
#<alt (- (* 16/9 u) 4/9)> |
#<alt (- (* 16/9 u) 4/9)> |
#<alt (- (* 16/9 u) 4/9)> |
#<alt (* 16/9 u)> |
#<alt (* u (- 16/9 (* 4/9 (/ 1 u))))> |
#<alt (* u (- 16/9 (* 4/9 (/ 1 u))))> |
#<alt (* u (- 16/9 (* 4/9 (/ 1 u))))> |
#<alt (* 16/9 u)> |
#<alt (* -1 (* u (- (* 4/9 (/ 1 u)) 16/9)))> |
#<alt (* -1 (* u (- (* 4/9 (/ 1 u)) 16/9)))> |
#<alt (* -1 (* u (- (* 4/9 (/ 1 u)) 16/9)))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))> |
#<alt (* 3 (* s (- (log 2/3) (log 8/9))))> |
#<alt (+ (* 3 (* s u)) (* 3 (* s (- (log 2/3) (log 8/9)))))> |
#<alt (+ (* 3 (* s (- (log 2/3) (log 8/9)))) (* u (+ (* 3/2 (* s u)) (* 3 s))))> |
#<alt (+ (* 3 (* s (- (log 2/3) (log 8/9)))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))> |
#<alt (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u)))))))> |
#<alt (+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (* 3 (/ s u)))> |
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (* 3 (/ s u))))> |
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))> |
#<alt (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))))> |
#<alt (+ (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))) (* 3 (/ s u)))> |
#<alt (+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))))> |
#<alt (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))))> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (- (log 2/3) (log 8/9))> |
#<alt (- (+ u (log 2/3)) (log 8/9))> |
#<alt (- (+ (log 2/3) (* u (+ 1 (* 1/2 u)))) (log 8/9))> |
#<alt (- (+ (log 2/3) (* u (+ 1 (* u (+ 1/2 (* 1/3 u)))))) (log 8/9))> |
#<alt (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u)))))> |
#<alt (- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (/ 1 u))) (+ (log -16/9) (* -2 (log (/ 1 u)))))> |
#<alt (- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u)))))> |
#<alt (- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))))) (+ (log -16/9) (* -2 (log (/ 1 u)))))> |
#<alt (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))> |
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (/ 1 u))) (+ (log -16/9) (* -2 (log (/ -1 u)))))> |
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))> |
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (log 3/4)> |
#<alt (+ u (log 3/4))> |
#<alt (+ (log 3/4) (* u (+ 1 (* 1/2 u))))> |
#<alt (+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u))))))> |
#<alt (+ (log -3/4) (log (/ 1 u)))> |
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u)))> |
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))> |
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3)))))))> |
#<alt (+ (log 3/4) (log (/ -1 u)))> |
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u)))> |
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))> |
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u))))> |
#<alt (* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u))))))> |
#<alt (* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u))))))> |
#<alt (* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u))))))> |
#<alt (* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u))))))> |
#<alt (* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u))))))> |
#<alt (* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u))))))> |
#<alt (* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u))))))> |
#<alt (* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u))))))> |
#<alt (* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u))))))> |
#<alt (* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u))))))> |
#<alt (* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u))))))> |
#<alt (* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u))))))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (+ (* 3 (* s u)) (* 3 (* s (log 3/4))))> |
#<alt (+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s))))> |
#<alt (+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))> |
#<alt (* 3 (* s (+ (log -3/4) (log (/ 1 u)))))> |
#<alt (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u)))> |
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u))))> |
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))> |
#<alt (* 3 (* s (+ (log 3/4) (log (/ -1 u)))))> |
#<alt (+ (* 3 (* s (+ (log 3/4) (log (/ -1 u))))) (* 3 (/ s u)))> |
#<alt (+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))> |
#<alt (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))> |
#<alt 3/4> |
#<alt (+ 3/4 (* 3/4 u))> |
#<alt (+ 3/4 (* u (+ 3/4 (* 3/4 u))))> |
#<alt (+ 3/4 (* u (+ 3/4 (* u (+ 3/4 (* 3/4 u))))))> |
#<alt (/ -3/4 u)> |
#<alt (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u)> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) (pow u 2))) (+ 3/4 (* 3/4 (/ 1 u)))) u)> |
#<alt (/ -3/4 u)> |
#<alt (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))> |
#<alt (* -1 (/ (+ 3/4 (+ (/ 3/4 (pow u 2)) (* 3/4 (/ 1 u)))) u))> |
#<alt (* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u))) u))> |
#<alt (* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))))> |
#<alt (* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))))> |
#<alt (* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))))> |
#<alt (* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))))> |
#<alt (* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))))> |
#<alt (* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))))> |
#<alt (* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))))> |
#<alt (* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))))> |
#<alt (* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))))> |
#<alt (* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))))> |
#<alt (* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))))> |
#<alt (* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (+ (* 3 (* s u)) (* 3 (* s (log 3/4))))> |
#<alt (+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s))))> |
#<alt (+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))> |
#<alt (* 3 (* s (+ (log -3/4) (log (/ 1 u)))))> |
#<alt (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u)))> |
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u))))> |
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))> |
#<alt (* 3 (* s (+ (log 3/4) (log (/ -1 u)))))> |
#<alt (+ (* 3 (* s (+ (log 3/4) (log (/ -1 u))))) (* 3 (/ s u)))> |
#<alt (+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))> |
#<alt (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))> |
#<alt (log 3/4)> |
#<alt (+ u (log 3/4))> |
#<alt (+ (log 3/4) (* u (+ 1 (* 1/2 u))))> |
#<alt (+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u))))))> |
#<alt (+ (log -3/4) (log (/ 1 u)))> |
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u)))> |
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))> |
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3)))))))> |
#<alt (+ (log 3/4) (log (/ -1 u)))> |
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u)))> |
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))> |
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u))))> |
#<alt 4/3> |
#<alt (+ 4/3 (* -4/3 u))> |
#<alt (+ 4/3 (* -4/3 u))> |
#<alt (+ 4/3 (* -4/3 u))> |
#<alt (* -4/3 u)> |
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))> |
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))> |
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))> |
#<alt (* -4/3 u)> |
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))> |
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))> |
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))> |
#<alt (* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))> |
#<alt (* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))> |
#<alt (* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))> |
#<alt (* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))> |
#<alt (* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))> |
#<alt (* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))> |
#<alt (* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))> |
#<alt (* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))> |
#<alt (* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))> |
#<alt (* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))> |
#<alt (* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))> |
#<alt (* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))> |
#<alt (* 3 (* s (- (log 8/9) (log 32/27))))> |
#<alt (+ (* 3 (* s u)) (* 3 (* s (- (log 8/9) (log 32/27)))))> |
#<alt (+ (* 3 (* s (- (log 8/9) (log 32/27)))) (* u (+ (* 3/2 (* s u)) (* 3 s))))> |
#<alt (+ (* 3 (* s (- (log 8/9) (log 32/27)))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))> |
#<alt (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (+ (log 64/27) (* -3 (log (/ 1 u)))))))> |
#<alt (+ (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (+ (log 64/27) (* -3 (log (/ 1 u))))))) (* 3 (/ s u)))> |
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (+ (log 64/27) (* -3 (log (/ 1 u))))))) (* 3 (/ s u))))> |
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (+ (log 64/27) (* -3 (log (/ 1 u))))))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))> |
#<alt (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (+ (log -64/27) (* -3 (log (/ -1 u)))))))> |
#<alt (+ (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (+ (log -64/27) (* -3 (log (/ -1 u))))))) (* 3 (/ s u)))> |
#<alt (+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (+ (log -64/27) (* -3 (log (/ -1 u))))))))> |
#<alt (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (+ (log -64/27) (* -3 (log (/ -1 u))))))))> |
#<alt (log 8/9)> |
#<alt (+ u (log 8/9))> |
#<alt (+ (log 8/9) (* u (+ 1 (* -5/2 u))))> |
#<alt (+ (log 8/9) (* u (+ 1 (* u (- (* 7/3 u) 5/2)))))> |
#<alt (+ (log -16/9) (* -2 (log (/ 1 u))))> |
#<alt (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u)))> |
#<alt (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u))))> |
#<alt (- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u)))> |
#<alt (+ (log -16/9) (* -2 (log (/ -1 u))))> |
#<alt (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u)))> |
#<alt (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u))))> |
#<alt (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (+ (/ 7/24 (pow u 2)) (* 5/8 (/ 1 u)))) u))))> |
#<alt -1/3> |
#<alt (- (* 4/3 u) 1/3)> |
#<alt (- (* 4/3 u) 1/3)> |
#<alt (- (* 4/3 u) 1/3)> |
#<alt (* 4/3 u)> |
#<alt (* u (- 4/3 (* 1/3 (/ 1 u))))> |
#<alt (* u (- 4/3 (* 1/3 (/ 1 u))))> |
#<alt (* u (- 4/3 (* 1/3 (/ 1 u))))> |
#<alt (* 4/3 u)> |
#<alt (* -1 (* u (- (* 1/3 (/ 1 u)) 4/3)))> |
#<alt (* -1 (* u (- (* 1/3 (/ 1 u)) 4/3)))> |
#<alt (* -1 (* u (- (* 1/3 (/ 1 u)) 4/3)))> |
#<alt 4/3> |
#<alt (+ 4/3 (* -4/3 u))> |
#<alt (+ 4/3 (* -4/3 u))> |
#<alt (+ 4/3 (* -4/3 u))> |
#<alt (* -4/3 u)> |
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))> |
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))> |
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))> |
#<alt (* -4/3 u)> |
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))> |
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))> |
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))> |
#<alt 3/8> |
#<alt (+ 3/8 (* -3/8 u))> |
#<alt (+ 3/8 (* u (- (* 9/8 u) 3/8)))> |
#<alt (+ 3/8 (* u (- (* u (+ 9/8 (* -15/8 u))) 3/8)))> |
#<alt (/ -3/16 (pow u 2))> |
#<alt (* -1 (/ (+ 3/16 (* 3/32 (/ 1 u))) (pow u 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/32 (* 9/64 (/ 1 u))) u)) 3/16) (pow u 2))> |
#<alt (/ (- (* -1 (/ (+ 9/64 (* 15/128 (/ 1 u))) (pow u 2))) (+ 3/16 (* 3/32 (/ 1 u)))) (pow u 2))> |
#<alt (/ -3/16 (pow u 2))> |
#<alt (* -1 (/ (+ 3/16 (* 3/32 (/ 1 u))) (pow u 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/32 (* 9/64 (/ 1 u))) u)) 3/16) (pow u 2))> |
#<alt (/ (- (* -1 (/ (+ 3/32 (+ (/ 15/128 (pow u 2)) (* 9/64 (/ 1 u)))) u)) 3/16) (pow u 2))> |
#<alt 9/8> |
#<alt (+ 9/8 (* 3/8 u))> |
#<alt (+ 9/8 (* u (+ 3/8 (* 15/8 u))))> |
#<alt (+ 9/8 (* u (+ 3/8 (* u (+ 15/8 (* -9/8 u))))))> |
#<alt (/ -3/4 u)> |
#<alt (* -1 (/ (+ 3/4 (* 15/16 (/ 1 u))) u))> |
#<alt (/ (- (* -1 (/ (+ 15/16 (* 27/32 (/ 1 u))) u)) 3/4) u)> |
#<alt (/ (- (* -1 (/ (+ 27/32 (* 57/64 (/ 1 u))) (pow u 2))) (+ 3/4 (* 15/16 (/ 1 u)))) u)> |
#<alt (/ -3/4 u)> |
#<alt (* -1 (/ (+ 3/4 (* 15/16 (/ 1 u))) u))> |
#<alt (* -1 (/ (+ 3/4 (+ (/ 27/32 (pow u 2)) (* 15/16 (/ 1 u)))) u))> |
#<alt (* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 27/32 (* 57/64 (/ 1 u))) u)) 15/16) u))) u))> |
#<alt (log 32/27)> |
#<alt (+ (log 32/27) (* -3 (pow u 2)))> |
#<alt (+ (log 32/27) (* (pow u 2) (- (* 2 u) 3)))> |
#<alt (+ (log 32/27) (* (pow u 2) (- (* u (+ 2 (* -9/2 u))) 3)))> |
#<alt (+ (log 64/27) (* -3 (log (/ 1 u))))> |
#<alt (- (+ (log 64/27) (* -3 (log (/ 1 u)))) (* 3/2 (/ 1 u)))> |
#<alt (+ (log 64/27) (+ (* -3 (log (/ 1 u))) (* -1 (/ (+ 3/2 (* 9/8 (/ 1 u))) u))))> |
#<alt (- (+ (log 64/27) (+ (* -3 (log (/ 1 u))) (* -1 (/ (+ 9/8 (* 5/8 (/ 1 u))) (pow u 2))))) (* 3/2 (/ 1 u)))> |
#<alt (+ (log -64/27) (* -3 (log (/ -1 u))))> |
#<alt (- (+ (log -64/27) (* -3 (log (/ -1 u)))) (* 3/2 (/ 1 u)))> |
#<alt (+ (log -64/27) (+ (* -3 (log (/ -1 u))) (* -1 (/ (+ 3/2 (* 9/8 (/ 1 u))) u))))> |
#<alt (+ (log -64/27) (+ (* -3 (log (/ -1 u))) (* -1 (/ (+ 3/2 (+ (/ 5/8 (pow u 2)) (* 9/8 (/ 1 u)))) u))))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 119.0ms | s | @ | 0 | (* (* 3 s) (- (log (+ 1 (* (- 1/4 u) (* 16/9 (+ u -1/4))))) (log (* (+ (* (- 1/4 u) (* 16/9 (+ u -1/4))) 1) (+ (* (+ u -1/4) -4/3) 1))))) |
| 107.0ms | s | @ | 0 | (* (* 3 s) (- (log (+ 1 (+ (* u 4/3) -1/3))) (log (+ 1 (* (- 1/4 u) (* 16/9 (+ u -1/4))))))) |
| 69.0ms | s | @ | 0 | (* (* 3 s) (log (- (/ (+ (* u 4/3) 1) (+ (* (- 1/4 u) (* 16/9 (+ u -1/4))) 1)) (/ 1/3 (+ (* (- 1/4 u) (* 16/9 (+ u -1/4))) 1))))) |
| 40.0ms | s | @ | 0 | (* (* 3 s) (log (/ 1 (+ (* -4/3 u) 4/3)))) |
| 23.0ms | s | @ | 0 | (* (* 3 s) (log 3/4)) |
| 1× | batch-egg-rewrite |
| 5 338× | lower-*.f64 |
| 5 322× | lower-*.f32 |
| 3 654× | lower-/.f64 |
| 3 648× | lower-/.f32 |
| 2 864× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 240 |
| 0 | 73 | 212 |
| 1 | 303 | 212 |
| 2 | 2634 | 212 |
| 0 | 8506 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) |
(*.f32 #s(literal 3 binary32) s) |
(-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
(log.f32 #s(literal 3/4 binary32)) |
(log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))))) |
(log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) |
(fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)))))) |
(log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) |
(/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) |
(/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) |
(log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)))) |
| Outputs |
|---|
(+.f32 #s(literal -4/9 binary32) (*.f32 #s(literal 16/9 binary32) u)) |
(+.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)) |
(fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
(/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 4096/729 binary32) #s(literal -64/729 binary32)) (fma.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u) (-.f32 #s(literal 16/81 binary32) (*.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))))) |
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))) |
(/.f32 (*.f32 #s(literal 16/9 binary32) (fma.f32 u (*.f32 u u) #s(literal -1/64 binary32))) (fma.f32 u u (-.f32 #s(literal 1/16 binary32) (*.f32 u #s(literal -1/4 binary32))))) |
(/.f32 (*.f32 #s(literal 16/9 binary32) (fma.f32 u u #s(literal -1/16 binary32))) (+.f32 u #s(literal 1/4 binary32))) |
(/.f32 (*.f32 (fma.f32 u (*.f32 u u) #s(literal -1/64 binary32)) #s(literal 16/9 binary32)) (fma.f32 u u (-.f32 #s(literal 1/16 binary32) (*.f32 u #s(literal -1/4 binary32))))) |
(/.f32 (*.f32 (fma.f32 u u #s(literal -1/16 binary32)) #s(literal 16/9 binary32)) (+.f32 u #s(literal 1/4 binary32))) |
(*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) |
(*.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal 16/9 binary32)) |
(+.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
(+.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s)) (*.f32 (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 #s(literal 3 binary32) s))) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
(fma.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s) (*.f32 (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 #s(literal 3 binary32) s))) |
(/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (pow.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) #s(literal 3 binary32)))) (fma.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (log.f32 (*.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 2 binary32)))) |
(/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (*.f32 (log.f32 (*.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))))) (log.f32 (*.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) |
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(-.f32 (log.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))))) (log.f32 (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal -1 binary32)))) |
(-.f32 (log.f32 (*.f32 (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) (log.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))))) |
(-.f32 (log.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))) #s(literal -1 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) (log.f32 (+.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(/.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) #s(literal 2 binary32))) (log.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))))) |
(log.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))))) |
| 1× | egg-herbie |
| 10 218× | lower-fma.f64 |
| 10 218× | lower-fma.f32 |
| 6 166× | lower-+.f64 |
| 6 166× | lower-+.f32 |
| 4 216× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 447 | 3842 |
| 1 | 1228 | 3726 |
| 2 | 3364 | 3541 |
| 0 | 8125 | 3234 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-4/9 |
(- (* 16/9 u) 4/9) |
(- (* 16/9 u) 4/9) |
(- (* 16/9 u) 4/9) |
(* 16/9 u) |
(* u (- 16/9 (* 4/9 (/ 1 u)))) |
(* u (- 16/9 (* 4/9 (/ 1 u)))) |
(* u (- 16/9 (* 4/9 (/ 1 u)))) |
(* 16/9 u) |
(* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) |
(* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) |
(* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log 2/3) (log 8/9)))) |
(+ (* 3 (* s u)) (* 3 (* s (- (log 2/3) (log 8/9))))) |
(+ (* 3 (* s (- (log 2/3) (log 8/9)))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) |
(+ (* 3 (* s (- (log 2/3) (log 8/9)))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))) |
(* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) |
(+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (* 3 (/ s u))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (* 3 (/ s u)))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (+ (* 3 (/ s u)) (/ s (pow u 3))))) |
(* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(+ (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))) (* 3 (/ s u))) |
(+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))))) |
(+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))))) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(- (log 2/3) (log 8/9)) |
(- (+ u (log 2/3)) (log 8/9)) |
(- (+ (log 2/3) (* u (+ 1 (* 1/2 u)))) (log 8/9)) |
(- (+ (log 2/3) (* u (+ 1 (* u (+ 1/2 (* 1/3 u)))))) (log 8/9)) |
(- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (/ 1 u))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (/ 1 u))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(log 3/4) |
(+ u (log 3/4)) |
(+ (log 3/4) (* u (+ 1 (* 1/2 u)))) |
(+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u)))))) |
(+ (log -3/4) (log (/ 1 u))) |
(+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u))) |
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) |
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))))) |
(+ (log 3/4) (log (/ -1 u))) |
(+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u))) |
(+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) |
(+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)))) |
(* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u)))))) |
(* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u)))))) |
(* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u)))))) |
(* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u)))))) |
(* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u)))))) |
(* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u)))))) |
(* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u)))))) |
(* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u)))))) |
(* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u)))))) |
(* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u)))))) |
(* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u)))))) |
(* 3 (* s (log (/ 1 (+ 4/3 (* -4/3 u)))))) |
(* 3 (* s (log 3/4))) |
(+ (* 3 (* s u)) (* 3 (* s (log 3/4)))) |
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) |
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))) |
(* 3 (* s (+ (log -3/4) (log (/ 1 u))))) |
(+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u)))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (+ (* 3 (/ s u)) (/ s (pow u 3))))) |
(* 3 (* s (+ (log 3/4) (log (/ -1 u))))) |
(+ (* 3 (* s (+ (log 3/4) (log (/ -1 u))))) (* 3 (/ s u))) |
(+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u)))))) |
(+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u)))))) |
3/4 |
(+ 3/4 (* 3/4 u)) |
(+ 3/4 (* u (+ 3/4 (* 3/4 u)))) |
(+ 3/4 (* u (+ 3/4 (* u (+ 3/4 (* 3/4 u)))))) |
(/ -3/4 u) |
(* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) |
(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u) |
(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) (pow u 2))) (+ 3/4 (* 3/4 (/ 1 u)))) u) |
(/ -3/4 u) |
(* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) |
(* -1 (/ (+ 3/4 (+ (/ 3/4 (pow u 2)) (* 3/4 (/ 1 u)))) u)) |
(* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u))) u)) |
(* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))) |
(* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))) |
(* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))) |
(* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))) |
(* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))) |
(* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))) |
(* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))) |
(* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))) |
(* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))) |
(* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))) |
(* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))) |
(* 3 (* s (log (+ (* 4/3 (/ u (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))) (* 2/3 (/ 1 (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))))) |
(* 3 (* s (log 3/4))) |
(+ (* 3 (* s u)) (* 3 (* s (log 3/4)))) |
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) |
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))) |
(* 3 (* s (+ (log -3/4) (log (/ 1 u))))) |
(+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u)))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (+ (* 3 (/ s u)) (/ s (pow u 3))))) |
(* 3 (* s (+ (log 3/4) (log (/ -1 u))))) |
(+ (* 3 (* s (+ (log 3/4) (log (/ -1 u))))) (* 3 (/ s u))) |
(+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u)))))) |
(+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u)))))) |
(log 3/4) |
(+ u (log 3/4)) |
(+ (log 3/4) (* u (+ 1 (* 1/2 u)))) |
(+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u)))))) |
(+ (log -3/4) (log (/ 1 u))) |
(+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u))) |
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) |
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))))) |
(+ (log 3/4) (log (/ -1 u))) |
(+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u))) |
(+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) |
(+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)))) |
4/3 |
(+ 4/3 (* -4/3 u)) |
(+ 4/3 (* -4/3 u)) |
(+ 4/3 (* -4/3 u)) |
(* -4/3 u) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(* -4/3 u) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))) |
(* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))) |
(* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))) |
(* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))) |
(* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))) |
(* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))) |
(* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))) |
(* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))) |
(* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))) |
(* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))) |
(* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))) |
(* 3 (* s (- (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))) (log (* (+ 1 (* -4/3 (- u 1/4))) (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4))))))))) |
(* 3 (* s (- (log 8/9) (log 32/27)))) |
(+ (* 3 (* s u)) (* 3 (* s (- (log 8/9) (log 32/27))))) |
(+ (* 3 (* s (- (log 8/9) (log 32/27)))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) |
(+ (* 3 (* s (- (log 8/9) (log 32/27)))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))) |
(* 3 (* s (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (+ (log 64/27) (* -3 (log (/ 1 u))))))) |
(+ (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (+ (log 64/27) (* -3 (log (/ 1 u))))))) (* 3 (/ s u))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (+ (log 64/27) (* -3 (log (/ 1 u))))))) (* 3 (/ s u)))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (+ (log 64/27) (* -3 (log (/ 1 u))))))) (+ (* 3 (/ s u)) (/ s (pow u 3))))) |
(* 3 (* s (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (+ (log -64/27) (* -3 (log (/ -1 u))))))) |
(+ (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (+ (log -64/27) (* -3 (log (/ -1 u))))))) (* 3 (/ s u))) |
(+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (+ (log -64/27) (* -3 (log (/ -1 u)))))))) |
(+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (+ (log -64/27) (* -3 (log (/ -1 u)))))))) |
(log 8/9) |
(+ u (log 8/9)) |
(+ (log 8/9) (* u (+ 1 (* -5/2 u)))) |
(+ (log 8/9) (* u (+ 1 (* u (- (* 7/3 u) 5/2))))) |
(+ (log -16/9) (* -2 (log (/ 1 u)))) |
(- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (* -2 (log (/ -1 u)))) |
(- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (+ (/ 7/24 (pow u 2)) (* 5/8 (/ 1 u)))) u)))) |
-1/3 |
(- (* 4/3 u) 1/3) |
(- (* 4/3 u) 1/3) |
(- (* 4/3 u) 1/3) |
(* 4/3 u) |
(* u (- 4/3 (* 1/3 (/ 1 u)))) |
(* u (- 4/3 (* 1/3 (/ 1 u)))) |
(* u (- 4/3 (* 1/3 (/ 1 u)))) |
(* 4/3 u) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
4/3 |
(+ 4/3 (* -4/3 u)) |
(+ 4/3 (* -4/3 u)) |
(+ 4/3 (* -4/3 u)) |
(* -4/3 u) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(* -4/3 u) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
3/8 |
(+ 3/8 (* -3/8 u)) |
(+ 3/8 (* u (- (* 9/8 u) 3/8))) |
(+ 3/8 (* u (- (* u (+ 9/8 (* -15/8 u))) 3/8))) |
(/ -3/16 (pow u 2)) |
(* -1 (/ (+ 3/16 (* 3/32 (/ 1 u))) (pow u 2))) |
(/ (- (* -1 (/ (+ 3/32 (* 9/64 (/ 1 u))) u)) 3/16) (pow u 2)) |
(/ (- (* -1 (/ (+ 9/64 (* 15/128 (/ 1 u))) (pow u 2))) (+ 3/16 (* 3/32 (/ 1 u)))) (pow u 2)) |
(/ -3/16 (pow u 2)) |
(* -1 (/ (+ 3/16 (* 3/32 (/ 1 u))) (pow u 2))) |
(/ (- (* -1 (/ (+ 3/32 (* 9/64 (/ 1 u))) u)) 3/16) (pow u 2)) |
(/ (- (* -1 (/ (+ 3/32 (+ (/ 15/128 (pow u 2)) (* 9/64 (/ 1 u)))) u)) 3/16) (pow u 2)) |
9/8 |
(+ 9/8 (* 3/8 u)) |
(+ 9/8 (* u (+ 3/8 (* 15/8 u)))) |
(+ 9/8 (* u (+ 3/8 (* u (+ 15/8 (* -9/8 u)))))) |
(/ -3/4 u) |
(* -1 (/ (+ 3/4 (* 15/16 (/ 1 u))) u)) |
(/ (- (* -1 (/ (+ 15/16 (* 27/32 (/ 1 u))) u)) 3/4) u) |
(/ (- (* -1 (/ (+ 27/32 (* 57/64 (/ 1 u))) (pow u 2))) (+ 3/4 (* 15/16 (/ 1 u)))) u) |
(/ -3/4 u) |
(* -1 (/ (+ 3/4 (* 15/16 (/ 1 u))) u)) |
(* -1 (/ (+ 3/4 (+ (/ 27/32 (pow u 2)) (* 15/16 (/ 1 u)))) u)) |
(* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 27/32 (* 57/64 (/ 1 u))) u)) 15/16) u))) u)) |
(log 32/27) |
(+ (log 32/27) (* -3 (pow u 2))) |
(+ (log 32/27) (* (pow u 2) (- (* 2 u) 3))) |
(+ (log 32/27) (* (pow u 2) (- (* u (+ 2 (* -9/2 u))) 3))) |
(+ (log 64/27) (* -3 (log (/ 1 u)))) |
(- (+ (log 64/27) (* -3 (log (/ 1 u)))) (* 3/2 (/ 1 u))) |
(+ (log 64/27) (+ (* -3 (log (/ 1 u))) (* -1 (/ (+ 3/2 (* 9/8 (/ 1 u))) u)))) |
(- (+ (log 64/27) (+ (* -3 (log (/ 1 u))) (* -1 (/ (+ 9/8 (* 5/8 (/ 1 u))) (pow u 2))))) (* 3/2 (/ 1 u))) |
(+ (log -64/27) (* -3 (log (/ -1 u)))) |
(- (+ (log -64/27) (* -3 (log (/ -1 u)))) (* 3/2 (/ 1 u))) |
(+ (log -64/27) (+ (* -3 (log (/ -1 u))) (* -1 (/ (+ 3/2 (* 9/8 (/ 1 u))) u)))) |
(+ (log -64/27) (+ (* -3 (log (/ -1 u))) (* -1 (/ (+ 3/2 (+ (/ 5/8 (pow u 2)) (* 9/8 (/ 1 u)))) u)))) |
| Outputs |
|---|
-4/9 |
#s(literal -4/9 binary32) |
(- (* 16/9 u) 4/9) |
(fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) |
(- (* 16/9 u) 4/9) |
(fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) |
(- (* 16/9 u) 4/9) |
(fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) |
(* 16/9 u) |
(*.f32 #s(literal 16/9 binary32) u) |
(* u (- 16/9 (* 4/9 (/ 1 u)))) |
(*.f32 u (+.f32 #s(literal 16/9 binary32) (/.f32 #s(literal -4/9 binary32) u))) |
(* u (- 16/9 (* 4/9 (/ 1 u)))) |
(*.f32 u (+.f32 #s(literal 16/9 binary32) (/.f32 #s(literal -4/9 binary32) u))) |
(* u (- 16/9 (* 4/9 (/ 1 u)))) |
(*.f32 u (+.f32 #s(literal 16/9 binary32) (/.f32 #s(literal -4/9 binary32) u))) |
(* 16/9 u) |
(*.f32 #s(literal 16/9 binary32) u) |
(* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) |
(*.f32 u (+.f32 #s(literal 16/9 binary32) (/.f32 #s(literal -4/9 binary32) u))) |
(* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) |
(*.f32 u (+.f32 #s(literal 16/9 binary32) (/.f32 #s(literal -4/9 binary32) u))) |
(* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) |
(*.f32 u (+.f32 #s(literal 16/9 binary32) (/.f32 #s(literal -4/9 binary32) u))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal -16/9 binary32) u #s(literal 4/9 binary32))))) (*.f32 #s(literal 3 binary32) s)) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal -16/9 binary32) u #s(literal 4/9 binary32))))) (*.f32 #s(literal 3 binary32) s)) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal -16/9 binary32) u #s(literal 4/9 binary32))))) (*.f32 #s(literal 3 binary32) s)) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal -16/9 binary32) u #s(literal 4/9 binary32))))) (*.f32 #s(literal 3 binary32) s)) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal -16/9 binary32) u #s(literal 4/9 binary32))))) (*.f32 #s(literal 3 binary32) s)) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal -16/9 binary32) u #s(literal 4/9 binary32))))) (*.f32 #s(literal 3 binary32) s)) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal -16/9 binary32) u #s(literal 4/9 binary32))))) (*.f32 #s(literal 3 binary32) s)) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal -16/9 binary32) u #s(literal 4/9 binary32))))) (*.f32 #s(literal 3 binary32) s)) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal -16/9 binary32) u #s(literal 4/9 binary32))))) (*.f32 #s(literal 3 binary32) s)) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal -16/9 binary32) u #s(literal 4/9 binary32))))) (*.f32 #s(literal 3 binary32) s)) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal -16/9 binary32) u #s(literal 4/9 binary32))))) (*.f32 #s(literal 3 binary32) s)) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal -16/9 binary32) u #s(literal 4/9 binary32))))) (*.f32 #s(literal 3 binary32) s)) |
(* 3 (* s (- (log 2/3) (log 8/9)))) |
(*.f32 (-.f32 (log.f32 #s(literal 2/3 binary32)) (log.f32 #s(literal 8/9 binary32))) (*.f32 #s(literal 3 binary32) s)) |
(+ (* 3 (* s u)) (* 3 (* s (- (log 2/3) (log 8/9))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (-.f32 (log.f32 #s(literal 2/3 binary32)) (log.f32 #s(literal 8/9 binary32))))) |
(+ (* 3 (* s (- (log 2/3) (log 8/9)))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) |
(fma.f32 u (*.f32 s (fma.f32 #s(literal 3/2 binary32) u #s(literal 3 binary32))) (*.f32 (-.f32 (log.f32 #s(literal 2/3 binary32)) (log.f32 #s(literal 8/9 binary32))) (*.f32 #s(literal 3 binary32) s))) |
(+ (* 3 (* s (- (log 2/3) (log 8/9)))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (-.f32 (log.f32 #s(literal 2/3 binary32)) (log.f32 #s(literal 8/9 binary32)))) (*.f32 (*.f32 s (+.f32 #s(literal 3/2 binary32) u)) (*.f32 u u))) |
(* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (neg.f32 (log.f32 u)) (-.f32 (log.f32 #s(literal -16/9 binary32)) (log.f32 #s(literal 4/3 binary32))))) |
(+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (* 3 (/ s u))) |
(*.f32 #s(literal 3 binary32) (fma.f32 s (-.f32 (neg.f32 (log.f32 u)) (-.f32 (log.f32 #s(literal -16/9 binary32)) (log.f32 #s(literal 4/3 binary32)))) (/.f32 s u))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (* 3 (/ s u)))) |
(fma.f32 #s(literal 3 binary32) (*.f32 s (-.f32 (neg.f32 (log.f32 u)) (-.f32 (log.f32 #s(literal -16/9 binary32)) (log.f32 #s(literal 4/3 binary32))))) (*.f32 (/.f32 s u) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3/2 binary32) u)))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (+ (* 3 (/ s u)) (/ s (pow u 3))))) |
(fma.f32 (/.f32 s u) (+.f32 (/.f32 #s(literal 3/2 binary32) u) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (neg.f32 (log.f32 u)) (-.f32 (log.f32 #s(literal -16/9 binary32)) (log.f32 #s(literal 4/3 binary32)))) (/.f32 s (*.f32 u (*.f32 u u))))) |
(* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal 1 binary32)) (-.f32 (log.f32 #s(literal -16/9 binary32)) (log.f32 #s(literal -4/3 binary32))))) |
(+ (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))) (* 3 (/ s u))) |
(*.f32 #s(literal 3 binary32) (fma.f32 s (-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal 1 binary32)) (-.f32 (log.f32 #s(literal -16/9 binary32)) (log.f32 #s(literal -4/3 binary32)))) (/.f32 s u))) |
(+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))))) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal 1 binary32)) (-.f32 (log.f32 #s(literal -16/9 binary32)) (log.f32 #s(literal -4/3 binary32)))) (/.f32 (fma.f32 #s(literal 3 binary32) s (*.f32 #s(literal 3/2 binary32) (/.f32 s u))) u)) |
(+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))))) |
(fma.f32 #s(literal 3 binary32) (*.f32 s (-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal 1 binary32)) (-.f32 (log.f32 #s(literal -16/9 binary32)) (log.f32 #s(literal -4/3 binary32))))) (/.f32 (-.f32 (*.f32 s #s(literal -3 binary32)) (/.f32 (fma.f32 s #s(literal 3/2 binary32) (/.f32 s u)) u)) (neg.f32 u))) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(* 3 s) |
(*.f32 #s(literal 3 binary32) s) |
(- (log 2/3) (log 8/9)) |
(-.f32 (log.f32 #s(literal 2/3 binary32)) (log.f32 #s(literal 8/9 binary32))) |
(- (+ u (log 2/3)) (log 8/9)) |
(+.f32 u (-.f32 (log.f32 #s(literal 2/3 binary32)) (log.f32 #s(literal 8/9 binary32)))) |
(- (+ (log 2/3) (* u (+ 1 (* 1/2 u)))) (log 8/9)) |
(fma.f32 u (fma.f32 u #s(literal 1/2 binary32) #s(literal 1 binary32)) (-.f32 (log.f32 #s(literal 2/3 binary32)) (log.f32 #s(literal 8/9 binary32)))) |
(- (+ (log 2/3) (* u (+ 1 (* u (+ 1/2 (* 1/3 u)))))) (log 8/9)) |
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 #s(literal 2/3 binary32)) (log.f32 #s(literal 8/9 binary32)))) |
(- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(-.f32 (neg.f32 (log.f32 u)) (-.f32 (log.f32 #s(literal -16/9 binary32)) (log.f32 #s(literal 4/3 binary32)))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (/ 1 u))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) (log.f32 u)) (-.f32 (log.f32 #s(literal -16/9 binary32)) (log.f32 #s(literal 4/3 binary32)))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u u)) (log.f32 u))) (-.f32 (log.f32 #s(literal -16/9 binary32)) (log.f32 #s(literal 4/3 binary32)))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(+.f32 (log.f32 #s(literal 4/3 binary32)) (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u u)) (/.f32 #s(literal 1/3 binary32) (*.f32 u (*.f32 u u))))) (log.f32 u)) (log.f32 #s(literal -16/9 binary32)))) |
(- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal 1 binary32)) (-.f32 (log.f32 #s(literal -16/9 binary32)) (log.f32 #s(literal -4/3 binary32)))) |
(- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (/ 1 u))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(+.f32 (+.f32 (log.f32 #s(literal -4/3 binary32)) (/.f32 #s(literal 1 binary32) u)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal 1 binary32) (neg.f32 (log.f32 #s(literal -16/9 binary32))))) |
(- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(+.f32 (-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal 1 binary32)) (-.f32 (log.f32 #s(literal -16/9 binary32)) (log.f32 #s(literal -4/3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/2 binary32) (*.f32 u u)))) |
(- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(-.f32 (-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal 1 binary32)) (-.f32 (log.f32 #s(literal -16/9 binary32)) (log.f32 #s(literal -4/3 binary32)))) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) u) #s(literal -1/2 binary32)) u)) u)) |
(* 3 (* s (log 3/4))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32)))) |
(* 3 (* s (log 3/4))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32)))) |
(* 3 (* s (log 3/4))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32)))) |
(* 3 (* s (log 3/4))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32)))) |
(* 3 (* s (log 3/4))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32)))) |
(* 3 (* s (log 3/4))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32)))) |
(* 3 (* s (log 3/4))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32)))) |
(* 3 (* s (log 3/4))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32)))) |
(* 3 (* s (log 3/4))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32)))) |
(* 3 (* s (log 3/4))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32)))) |
(* 3 (* s (log 3/4))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32)))) |
(* 3 (* s (log 3/4))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32)))) |
(log 3/4) |
(log.f32 #s(literal 3/4 binary32)) |
(+ u (log 3/4)) |
(+.f32 u (log.f32 #s(literal 3/4 binary32))) |
(+ (log 3/4) (* u (+ 1 (* 1/2 u)))) |
(fma.f32 u (fma.f32 u #s(literal 1/2 binary32) #s(literal 1 binary32)) (log.f32 #s(literal 3/4 binary32))) |
(+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u)))))) |
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (log.f32 #s(literal 3/4 binary32))) |
(+ (log -3/4) (log (/ 1 u))) |
(-.f32 (log.f32 #s(literal -3/4 binary32)) (log.f32 u)) |
(+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u))) |
(+.f32 (/.f32 #s(literal 1 binary32) u) (-.f32 (log.f32 #s(literal -3/4 binary32)) (log.f32 u))) |
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(log 3/4) |
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4/3 |
#s(literal 4/3 binary32) |
(+ 4/3 (* -4/3 u)) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) |
(+ 4/3 (* -4/3 u)) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) |
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(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (+.f32 u (log.f32 #s(literal 8/9 binary32))) (log.f32 #s(literal 32/27 binary32)))) |
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(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (+ (log 64/27) (* -3 (log (/ 1 u))))))) (* 3 (/ s u)))) |
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(log 8/9) |
(log.f32 #s(literal 8/9 binary32)) |
(+ u (log 8/9)) |
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(+ (log 8/9) (* u (+ 1 (* -5/2 u)))) |
(fma.f32 u (fma.f32 u #s(literal -5/2 binary32) #s(literal 1 binary32)) (log.f32 #s(literal 8/9 binary32))) |
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(+ (log -16/9) (* -2 (log (/ 1 u)))) |
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(- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u))) |
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(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u))) |
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-1/3 |
#s(literal -1/3 binary32) |
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(- (* 4/3 u) 1/3) |
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4/3 |
#s(literal 4/3 binary32) |
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(*.f32 u #s(literal -4/3 binary32)) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) |
(* -4/3 u) |
(*.f32 u #s(literal -4/3 binary32)) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) |
3/8 |
#s(literal 3/8 binary32) |
(+ 3/8 (* -3/8 u)) |
(fma.f32 u #s(literal -3/8 binary32) #s(literal 3/8 binary32)) |
(+ 3/8 (* u (- (* 9/8 u) 3/8))) |
(fma.f32 u (fma.f32 u #s(literal 9/8 binary32) #s(literal -3/8 binary32)) #s(literal 3/8 binary32)) |
(+ 3/8 (* u (- (* u (+ 9/8 (* -15/8 u))) 3/8))) |
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal -15/8 binary32) #s(literal 9/8 binary32)) #s(literal -3/8 binary32)) #s(literal 3/8 binary32)) |
(/ -3/16 (pow u 2)) |
(/.f32 #s(literal -3/16 binary32) (*.f32 u u)) |
(* -1 (/ (+ 3/16 (* 3/32 (/ 1 u))) (pow u 2))) |
(/.f32 (+.f32 #s(literal -3/16 binary32) (/.f32 #s(literal -3/32 binary32) u)) (*.f32 u u)) |
(/ (- (* -1 (/ (+ 3/32 (* 9/64 (/ 1 u))) u)) 3/16) (pow u 2)) |
(/.f32 (-.f32 #s(literal -3/16 binary32) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 9/64 binary32) u)) u)) (*.f32 u u)) |
(/ (- (* -1 (/ (+ 9/64 (* 15/128 (/ 1 u))) (pow u 2))) (+ 3/16 (* 3/32 (/ 1 u)))) (pow u 2)) |
(/.f32 (-.f32 (+.f32 #s(literal -3/16 binary32) (/.f32 #s(literal -3/32 binary32) u)) (/.f32 (+.f32 #s(literal 9/64 binary32) (/.f32 #s(literal 15/128 binary32) u)) (*.f32 u u))) (*.f32 u u)) |
(/ -3/16 (pow u 2)) |
(/.f32 #s(literal -3/16 binary32) (*.f32 u u)) |
(* -1 (/ (+ 3/16 (* 3/32 (/ 1 u))) (pow u 2))) |
(/.f32 (+.f32 #s(literal -3/16 binary32) (/.f32 #s(literal -3/32 binary32) u)) (*.f32 u u)) |
(/ (- (* -1 (/ (+ 3/32 (* 9/64 (/ 1 u))) u)) 3/16) (pow u 2)) |
(/.f32 (-.f32 #s(literal -3/16 binary32) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 9/64 binary32) u)) u)) (*.f32 u u)) |
(/ (- (* -1 (/ (+ 3/32 (+ (/ 15/128 (pow u 2)) (* 9/64 (/ 1 u)))) u)) 3/16) (pow u 2)) |
(/.f32 (-.f32 #s(literal -3/16 binary32) (/.f32 (+.f32 (/.f32 #s(literal 9/64 binary32) u) (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 15/128 binary32) (*.f32 u u)))) u)) (*.f32 u u)) |
9/8 |
#s(literal 9/8 binary32) |
(+ 9/8 (* 3/8 u)) |
(fma.f32 u #s(literal 3/8 binary32) #s(literal 9/8 binary32)) |
(+ 9/8 (* u (+ 3/8 (* 15/8 u)))) |
(fma.f32 u (fma.f32 u #s(literal 15/8 binary32) #s(literal 3/8 binary32)) #s(literal 9/8 binary32)) |
(+ 9/8 (* u (+ 3/8 (* u (+ 15/8 (* -9/8 u)))))) |
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal -9/8 binary32) #s(literal 15/8 binary32)) #s(literal 3/8 binary32)) #s(literal 9/8 binary32)) |
(/ -3/4 u) |
(/.f32 #s(literal -3/4 binary32) u) |
(* -1 (/ (+ 3/4 (* 15/16 (/ 1 u))) u)) |
(/.f32 (+.f32 #s(literal -3/4 binary32) (/.f32 #s(literal -15/16 binary32) u)) u) |
(/ (- (* -1 (/ (+ 15/16 (* 27/32 (/ 1 u))) u)) 3/4) u) |
(/.f32 (-.f32 #s(literal -3/4 binary32) (/.f32 (+.f32 #s(literal 15/16 binary32) (/.f32 #s(literal 27/32 binary32) u)) u)) u) |
(/ (- (* -1 (/ (+ 27/32 (* 57/64 (/ 1 u))) (pow u 2))) (+ 3/4 (* 15/16 (/ 1 u)))) u) |
(/.f32 (+.f32 (/.f32 (-.f32 #s(literal -15/16 binary32) (/.f32 (+.f32 #s(literal 27/32 binary32) (/.f32 #s(literal 57/64 binary32) u)) u)) u) #s(literal -3/4 binary32)) u) |
(/ -3/4 u) |
(/.f32 #s(literal -3/4 binary32) u) |
(* -1 (/ (+ 3/4 (* 15/16 (/ 1 u))) u)) |
(/.f32 (+.f32 #s(literal -3/4 binary32) (/.f32 #s(literal -15/16 binary32) u)) u) |
(* -1 (/ (+ 3/4 (+ (/ 27/32 (pow u 2)) (* 15/16 (/ 1 u)))) u)) |
(/.f32 (+.f32 (/.f32 #s(literal 15/16 binary32) u) (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 27/32 binary32) (*.f32 u u)))) (neg.f32 u)) |
(* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 27/32 (* 57/64 (/ 1 u))) u)) 15/16) u))) u)) |
(/.f32 (-.f32 #s(literal 3/4 binary32) (/.f32 (-.f32 #s(literal -15/16 binary32) (/.f32 (+.f32 #s(literal 27/32 binary32) (/.f32 #s(literal 57/64 binary32) u)) u)) u)) (neg.f32 u)) |
(log 32/27) |
(log.f32 #s(literal 32/27 binary32)) |
(+ (log 32/27) (* -3 (pow u 2))) |
(fma.f32 u (*.f32 u #s(literal -3 binary32)) (log.f32 #s(literal 32/27 binary32))) |
(+ (log 32/27) (* (pow u 2) (- (* 2 u) 3))) |
(fma.f32 u (*.f32 u (fma.f32 u #s(literal 2 binary32) #s(literal -3 binary32))) (log.f32 #s(literal 32/27 binary32))) |
(+ (log 32/27) (* (pow u 2) (- (* u (+ 2 (* -9/2 u))) 3))) |
(fma.f32 (*.f32 u u) (fma.f32 u (fma.f32 u #s(literal -9/2 binary32) #s(literal 2 binary32)) #s(literal -3 binary32)) (log.f32 #s(literal 32/27 binary32))) |
(+ (log 64/27) (* -3 (log (/ 1 u)))) |
(fma.f32 #s(literal 3 binary32) (log.f32 u) (log.f32 #s(literal 64/27 binary32))) |
(- (+ (log 64/27) (* -3 (log (/ 1 u)))) (* 3/2 (/ 1 u))) |
(+.f32 (log.f32 #s(literal 64/27 binary32)) (fma.f32 #s(literal 3 binary32) (log.f32 u) (/.f32 #s(literal -3/2 binary32) u))) |
(+ (log 64/27) (+ (* -3 (log (/ 1 u))) (* -1 (/ (+ 3/2 (* 9/8 (/ 1 u))) u)))) |
(-.f32 (fma.f32 #s(literal 3 binary32) (log.f32 u) (log.f32 #s(literal 64/27 binary32))) (/.f32 (+.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 9/8 binary32) u)) u)) |
(- (+ (log 64/27) (+ (* -3 (log (/ 1 u))) (* -1 (/ (+ 9/8 (* 5/8 (/ 1 u))) (pow u 2))))) (* 3/2 (/ 1 u))) |
(+.f32 (fma.f32 #s(literal 3 binary32) (log.f32 u) (-.f32 (log.f32 #s(literal 64/27 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 5/8 binary32) u) #s(literal 9/8 binary32)) (*.f32 u u)))) (/.f32 #s(literal -3/2 binary32) u)) |
(+ (log -64/27) (* -3 (log (/ -1 u)))) |
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal -3 binary32) (log.f32 #s(literal -64/27 binary32))) |
(- (+ (log -64/27) (* -3 (log (/ -1 u)))) (* 3/2 (/ 1 u))) |
(+.f32 (log.f32 #s(literal -64/27 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal -3 binary32) (/.f32 #s(literal -3/2 binary32) u))) |
(+ (log -64/27) (+ (* -3 (log (/ -1 u))) (* -1 (/ (+ 3/2 (* 9/8 (/ 1 u))) u)))) |
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal -3 binary32) (-.f32 (log.f32 #s(literal -64/27 binary32)) (/.f32 (+.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 9/8 binary32) u)) u))) |
(+ (log -64/27) (+ (* -3 (log (/ -1 u))) (* -1 (/ (+ 3/2 (+ (/ 5/8 (pow u 2)) (* 9/8 (/ 1 u)))) u)))) |
(-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal -3 binary32) (log.f32 #s(literal -64/27 binary32))) (/.f32 (+.f32 #s(literal 3/2 binary32) (+.f32 (/.f32 #s(literal 9/8 binary32) u) (/.f32 #s(literal 5/8 binary32) (*.f32 u u)))) u)) |
Compiled 29 466 to 2 398 computations (91.9% saved)
31 alts after pruning (29 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 848 | 19 | 867 |
| Fresh | 12 | 10 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 863 | 31 | 894 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.3% | (fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
| 95.7% | (fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))))))) | |
| 95.4% | (/.f32 (*.f32 (*.f32 (log.f32 (*.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) (*.f32 #s(literal 3 binary32) s)) (log.f32 (*.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) | |
| 97.3% | (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 3 binary32)))) (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 2 binary32))) | |
| 97.4% | (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) | |
| 98.2% | (+.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) | |
| 97.8% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) | |
| 95.6% | (*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) #s(literal 3 binary32)) s) | |
| ▶ | 97.1% | (*.f32 (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) #s(literal 3 binary32)) |
| 95.6% | (*.f32 (*.f32 s (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) #s(literal 3 binary32)) | |
| ▶ | 7.6% | (*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
| 97.9% | (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) | |
| ▶ | 98.2% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
| ▶ | 97.9% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))))))) |
| 98.0% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (+.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)))))) | |
| 97.1% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log.f32 (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) | |
| 97.7% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 64/27 binary32) #s(literal -1/27 binary32)) (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) (-.f32 #s(literal 1/9 binary32) (*.f32 u #s(literal -4/9 binary32)))))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) | |
| 97.7% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1/3 binary32)) (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) #s(literal -1/9 binary32))))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) | |
| 97.8% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (+.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) | |
| 98.1% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)) #s(literal 4/3 binary32)))) (log1p.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32))))) | |
| 96.1% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log.f32 (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)))))) | |
| 26.2% | (*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) | |
| 97.1% | (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) | |
| 95.8% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))))) | |
| ✓ | 96.3% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))) |
| 95.5% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 4/3 binary32))))) | |
| 95.3% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))))) #s(literal 4096/729 binary32)))) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32))))) | |
| ✓ | 7.6% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
| 97.9% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) | |
| 97.0% | (*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) | |
| 26.2% | (*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
Compiled 1 365 to 934 computations (31.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 32 | (*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)))) |
| ✓ | cost-diff | 64 | (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)) |
| ✓ | cost-diff | 64 | (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) |
| ✓ | cost-diff | 160 | (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) |
| ✓ | cost-diff | 0 | (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
| ✓ | cost-diff | 0 | (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 3 binary32) s) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
| ✓ | cost-diff | 0 | (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) |
| ✓ | cost-diff | 0 | (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) #s(literal 3 binary32)) |
| ✓ | cost-diff | 0 | (log.f32 #s(literal 3/4 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 s (log.f32 #s(literal 3/4 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
| ✓ | cost-diff | 0 | (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 3 binary32) s) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
| ✓ | cost-diff | 256 | (fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
| 19 266× | lower-fma.f64 |
| 19 258× | lower-fma.f32 |
| 3 772× | lower-*.f64 |
| 3 748× | lower-*.f32 |
| 3 104× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 380 |
| 0 | 76 | 362 |
| 1 | 146 | 362 |
| 2 | 300 | 360 |
| 3 | 668 | 360 |
| 4 | 1631 | 360 |
| 5 | 3860 | 360 |
| 6 | 7383 | 360 |
| 0 | 8221 | 348 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
(log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) |
(*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)) |
(fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) |
#s(literal 16/9 binary32) |
#s(literal -4/9 binary32) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
(*.f32 s (log.f32 #s(literal 3/4 binary32))) |
s |
(log.f32 #s(literal 3/4 binary32)) |
#s(literal 3/4 binary32) |
#s(literal 3 binary32) |
(*.f32 (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
s |
(neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) |
(log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) |
u |
#s(literal -4/3 binary32) |
#s(literal 4/3 binary32) |
#s(literal 3 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
(log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) |
(*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)) |
(fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) |
#s(literal 16/9 binary32) |
#s(literal -4/9 binary32) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)))))) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
(log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))))) |
(*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)))) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))) |
(-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) |
(*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) |
(*.f32 #s(literal 16/9 binary32) u) |
#s(literal 16/9 binary32) |
#s(literal 16/81 binary32) |
(-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)) |
#s(literal -4/9 binary32) |
| Outputs |
|---|
(fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u (-.f32 #s(literal 1/2 binary32) u)) #s(literal -1/9 binary32))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(*.f32 (log1p.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u (-.f32 #s(literal 1/2 binary32) u)) #s(literal -1/9 binary32))) (*.f32 s #s(literal -3 binary32))) |
(neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
(neg.f32 (log1p.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u (-.f32 #s(literal 1/2 binary32) u)) #s(literal -1/9 binary32)))) |
(log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) |
(log1p.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u (-.f32 #s(literal 1/2 binary32) u)) #s(literal -1/9 binary32))) |
(*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)) |
(fma.f32 #s(literal 16/9 binary32) (*.f32 u (-.f32 #s(literal 1/2 binary32) u)) #s(literal -1/9 binary32)) |
(fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
#s(literal 16/9 binary32) |
#s(literal -4/9 binary32) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32)))) |
(*.f32 s (log.f32 #s(literal 3/4 binary32))) |
s |
(log.f32 #s(literal 3/4 binary32)) |
#s(literal 3/4 binary32) |
#s(literal 3 binary32) |
(*.f32 (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32))) |
(*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s)) |
s |
(neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) |
(log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) |
u |
#s(literal -4/3 binary32) |
#s(literal 4/3 binary32) |
#s(literal 3 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u (-.f32 #s(literal 1/2 binary32) u)) #s(literal -1/9 binary32))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
(-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u (-.f32 #s(literal 1/2 binary32) u)) #s(literal -1/9 binary32)))) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
(log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) |
(log1p.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u (-.f32 #s(literal 1/2 binary32) u)) #s(literal -1/9 binary32))) |
(*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)) |
(fma.f32 #s(literal 16/9 binary32) (*.f32 u (-.f32 #s(literal 1/2 binary32) u)) #s(literal -1/9 binary32)) |
(fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
#s(literal 16/9 binary32) |
#s(literal -4/9 binary32) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))))))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (/.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal -256/81 binary32) #s(literal 64/81 binary32)) #s(literal 16/81 binary32)) #s(literal -4/81 binary32)) (fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32))))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)))))) |
(-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (/.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal -256/81 binary32) #s(literal 64/81 binary32)) #s(literal 16/81 binary32)) #s(literal -4/81 binary32)) (fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32))))) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
(log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))))) |
(log1p.f32 (/.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal -256/81 binary32) #s(literal 64/81 binary32)) #s(literal 16/81 binary32)) #s(literal -4/81 binary32)) (fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32)))) |
(*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)))) |
(/.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal -256/81 binary32) #s(literal 64/81 binary32)) #s(literal 16/81 binary32)) #s(literal -4/81 binary32)) (fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32))) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))) |
(/.f32 (fma.f32 u (*.f32 u #s(literal 256/81 binary32)) #s(literal -16/81 binary32)) (fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32))) |
(-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) |
(fma.f32 u (*.f32 u #s(literal 256/81 binary32)) #s(literal -16/81 binary32)) |
(*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) |
(*.f32 u (*.f32 u #s(literal 256/81 binary32))) |
(*.f32 #s(literal 16/9 binary32) u) |
(*.f32 u #s(literal 16/9 binary32)) |
#s(literal 16/9 binary32) |
#s(literal 16/81 binary32) |
(-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32)) |
#s(literal -4/9 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.8% | (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))) |
| ✓ | accuracy | 98.7% | (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))))) |
| ✓ | accuracy | 98.6% | (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) |
| ✓ | accuracy | 98.5% | (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) |
| ✓ | accuracy | 99.2% | (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
| ✓ | accuracy | 99.1% | (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
| ✓ | accuracy | 98.7% | (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) |
| ✓ | accuracy | 99.3% | (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
| ✓ | accuracy | 99.0% | (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) |
| ✓ | accuracy | 99.0% | (*.f32 (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) #s(literal 3 binary32)) |
| ✓ | accuracy | 97.8% | (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) |
| ✓ | accuracy | 100.0% | (log.f32 #s(literal 3/4 binary32)) |
| ✓ | accuracy | 99.2% | (*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
| ✓ | accuracy | 98.2% | (*.f32 s (log.f32 #s(literal 3/4 binary32))) |
| ✓ | accuracy | 99.1% | (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
| ✓ | accuracy | 99.0% | (fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
| ✓ | accuracy | 98.7% | (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) |
| 96.0ms | 256× | 0 | valid |
Compiled 446 to 45 computations (89.9% saved)
ival-mult: 22.0ms (29.7% of total)const: 17.0ms (22.9% of total)ival-log1p: 9.0ms (12.1% of total)ival-log: 8.0ms (10.8% of total)ival-sub: 7.0ms (9.4% of total)ival-add: 6.0ms (8.1% of total)ival-div: 2.0ms (2.7% of total)ival-neg: 2.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))))> |
#<alt (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))> |
#<alt (*.f32 #s(literal 3 binary32) s)> |
#<alt (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))> |
#<alt (*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32))> |
#<alt (*.f32 s (log.f32 #s(literal 3/4 binary32)))> |
#<alt (log.f32 #s(literal 3/4 binary32))> |
#<alt (*.f32 (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) #s(literal 3 binary32))> |
#<alt (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))))> |
#<alt (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))> |
#<alt (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))> |
#<alt (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))> |
#<alt (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))> |
#<alt (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u))> |
#<alt (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32))> |
#<alt (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))> |
#<alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))))> |
#<alt (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))> |
#<alt (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))> |
#<alt (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))> |
#<alt (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)))))> |
#<alt (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)))> |
| Outputs |
|---|
#<alt (* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u))))))> |
#<alt (* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u))))))> |
#<alt (* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u))))))> |
#<alt (* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u))))))> |
#<alt (* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u))))))> |
#<alt (* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u))))))> |
#<alt (* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u))))))> |
#<alt (* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u))))))> |
#<alt (* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))))> |
#<alt (* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))))> |
#<alt (* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))))> |
#<alt (* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))))> |
#<alt (+ (* -3 (* s (log 8/9))) (* 3 (* s (log 2/3))))> |
#<alt (+ (* -3 (* s (log 8/9))) (+ (* 3 (* s (log 2/3))) (* u (+ (* -3 s) (* 6 s)))))> |
#<alt (+ (* -3 (* s (log 8/9))) (+ (* 3 (* s (log 2/3))) (* u (+ (* -3 s) (+ (* 6 s) (* u (+ (* -6 s) (* 15/2 s))))))))> |
#<alt (+ (* -3 (* s (log 8/9))) (+ (* 3 (* s (log 2/3))) (* u (+ (* -3 s) (+ (* 6 s) (* u (+ (* -6 s) (+ (* 15/2 s) (* u (+ (* -7 s) (* 8 s)))))))))))> |
#<alt (+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))))> |
#<alt (+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u))))> |
#<alt (+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* -3/8 (/ s (pow u 2))) (+ (* 15/8 (/ s (pow u 2))) (+ (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u))))))> |
#<alt (+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* -3/8 (/ s (pow u 2))) (+ (* 1/8 (/ s (pow u 3))) (+ (* 7/8 (/ s (pow u 3))) (+ (* 15/8 (/ s (pow u 2))) (+ (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u))))))))> |
#<alt (+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))))> |
#<alt (+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (+ (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u))))> |
#<alt (+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* -3/8 s) (* 15/8 s)) u))) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))))> |
#<alt (+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* -1 (/ (+ (* -7/8 s) (* -1/8 s)) u)) (+ (* -3/8 s) (* 15/8 s))) u))) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log 8/9)))> |
#<alt (+ (* -3 (* s u)) (* -3 (* s (log 8/9))))> |
#<alt (+ (* -3 (* s (log 8/9))) (* u (+ (* -3 s) (* 15/2 (* s u)))))> |
#<alt (+ (* -3 (* s (log 8/9))) (* u (+ (* -3 s) (* u (+ (* -7 (* s u)) (* 15/2 s))))))> |
#<alt (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u))))))> |
#<alt (+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (* 3/2 (/ s u)))> |
#<alt (+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* 3/2 (/ s u)) (* 15/8 (/ s (pow u 2)))))> |
#<alt (+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* 7/8 (/ s (pow u 3))) (+ (* 3/2 (/ s u)) (* 15/8 (/ s (pow u 2))))))> |
#<alt (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))> |
#<alt (+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (* 3/2 (/ s u)))> |
#<alt (+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (* -1 (/ (+ (* -15/8 (/ s u)) (* -3/2 s)) u)))> |
#<alt (+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (* -1 (/ (+ (* -3/2 s) (* -1 (/ (+ (* 7/8 (/ s u)) (* 15/8 s)) u))) u)))> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (* 3 s)> |
#<alt (log 2/3)> |
#<alt (+ (log 2/3) (* 2 u))> |
#<alt (+ (log 2/3) (* u (+ 2 (* -2 u))))> |
#<alt (+ (log 2/3) (* u (+ 2 (* u (- (* 8/3 u) 2)))))> |
#<alt (+ (log 4/3) (* -1 (log (/ 1 u))))> |
#<alt (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (* 1/2 (/ 1 u))))> |
#<alt (- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (* 1/2 (/ 1 u)))) (/ 1/8 (pow u 2)))> |
#<alt (- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (* 1/2 (/ 1 u)) (* 1/24 (/ 1 (pow u 3)))))) (/ 1/8 (pow u 2)))> |
#<alt (+ (log -4/3) (* -1 (log (/ -1 u))))> |
#<alt (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* 1/2 (/ 1 u))))> |
#<alt (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (- (* 1/8 (/ 1 u)) 1/2) u))))> |
#<alt (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 u)) 1/8) u)) 1/2) u))))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (* s (log 3/4))> |
#<alt (* s (log 3/4))> |
#<alt (* s (log 3/4))> |
#<alt (* s (log 3/4))> |
#<alt (* s (log 3/4))> |
#<alt (* s (log 3/4))> |
#<alt (* s (log 3/4))> |
#<alt (* s (log 3/4))> |
#<alt (* s (log 3/4))> |
#<alt (* s (log 3/4))> |
#<alt (* s (log 3/4))> |
#<alt (* s (log 3/4))> |
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -3 (* s (log 4/3)))> |
#<alt (+ (* -3 (* s (log 4/3))) (* 3 (* s u)))> |
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))> |
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))> |
#<alt (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))> |
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))> |
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))> |
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))> |
#<alt (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))> |
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))> |
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))> |
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))> |
#<alt (* -1 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -1 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -1 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -1 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -1 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -1 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -1 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -1 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -1 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -1 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -1 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -1 (* s (log (+ 4/3 (* -4/3 u)))))> |
#<alt (* -1 (* s (log 4/3)))> |
#<alt (+ (* -1 (* s (log 4/3))) (* s u))> |
#<alt (+ (* -1 (* s (log 4/3))) (* u (+ s (* 1/2 (* s u)))))> |
#<alt (+ (* -1 (* s (log 4/3))) (* u (+ s (* u (+ (* 1/3 (* s u)) (* 1/2 s))))))> |
#<alt (* -1 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))> |
#<alt (+ (* -1 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (/ s u))> |
#<alt (+ (* -1 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 1/2 (/ s (pow u 2))) (/ s u)))> |
#<alt (+ (* -1 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 1/3 (/ s (pow u 3))) (+ (* 1/2 (/ s (pow u 2))) (/ s u))))> |
#<alt (* -1 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))> |
#<alt (+ (* -1 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (/ s u))> |
#<alt (+ (* -1 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -1 s) (* -1/2 (/ s u))) u)))> |
#<alt (+ (* -1 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -1 s) (* -1 (/ (+ (* 1/3 (/ s u)) (* 1/2 s)) u))) u)))> |
#<alt (* -1 (log 4/3))> |
#<alt (- u (log 4/3))> |
#<alt (- (* u (+ 1 (* 1/2 u))) (log 4/3))> |
#<alt (- (* u (+ 1 (* u (+ 1/2 (* 1/3 u))))) (log 4/3))> |
#<alt (* -1 (+ (log -4/3) (* -1 (log (/ 1 u)))))> |
#<alt (- (/ 1 u) (+ (log -4/3) (* -1 (log (/ 1 u)))))> |
#<alt (- (+ (/ 1/2 (pow u 2)) (/ 1 u)) (+ (log -4/3) (* -1 (log (/ 1 u)))))> |
#<alt (- (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))) (+ (log -4/3) (* -1 (log (/ 1 u)))))> |
#<alt (* -1 (+ (log 4/3) (* -1 (log (/ -1 u)))))> |
#<alt (- (/ 1 u) (+ (log 4/3) (* -1 (log (/ -1 u)))))> |
#<alt (- (+ (/ 1/2 (pow u 2)) (/ 1 u)) (+ (log 4/3) (* -1 (log (/ -1 u)))))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)) (+ (log 4/3) (* -1 (log (/ -1 u)))))> |
#<alt (log 4/3)> |
#<alt (+ (log 4/3) (* -1 u))> |
#<alt (+ (log 4/3) (* u (- (* -1/2 u) 1)))> |
#<alt (+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))> |
#<alt (+ (log -4/3) (* -1 (log (/ 1 u))))> |
#<alt (- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))> |
#<alt (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))> |
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))> |
#<alt (+ (log 4/3) (* -1 (log (/ -1 u))))> |
#<alt (- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))> |
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))> |
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* 3 (* s (- (log 2/3) (log 8/9))))> |
#<alt (+ (* 3 (* s u)) (* 3 (* s (- (log 2/3) (log 8/9)))))> |
#<alt (+ (* 3 (* s (- (log 2/3) (log 8/9)))) (* u (+ (* 3/2 (* s u)) (* 3 s))))> |
#<alt (+ (* 3 (* s (- (log 2/3) (log 8/9)))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))> |
#<alt (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u)))))))> |
#<alt (+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (* 3 (/ s u)))> |
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (* 3 (/ s u))))> |
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))> |
#<alt (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))))> |
#<alt (+ (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))) (* 3 (/ s u)))> |
#<alt (+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))))> |
#<alt (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))))> |
#<alt (- (log 2/3) (log 8/9))> |
#<alt (- (+ u (log 2/3)) (log 8/9))> |
#<alt (- (+ (log 2/3) (* u (+ 1 (* 1/2 u)))) (log 8/9))> |
#<alt (- (+ (log 2/3) (* u (+ 1 (* u (+ 1/2 (* 1/3 u)))))) (log 8/9))> |
#<alt (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u)))))> |
#<alt (- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (/ 1 u))) (+ (log -16/9) (* -2 (log (/ 1 u)))))> |
#<alt (- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u)))))> |
#<alt (- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))))) (+ (log -16/9) (* -2 (log (/ 1 u)))))> |
#<alt (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))> |
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (/ 1 u))) (+ (log -16/9) (* -2 (log (/ -1 u)))))> |
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))> |
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))> |
#<alt (* 256/81 (pow u 2))> |
#<alt (* 256/81 (pow u 2))> |
#<alt (* 256/81 (pow u 2))> |
#<alt (* 256/81 (pow u 2))> |
#<alt (* 256/81 (pow u 2))> |
#<alt (* 256/81 (pow u 2))> |
#<alt (* 256/81 (pow u 2))> |
#<alt (* 256/81 (pow u 2))> |
#<alt (* 256/81 (pow u 2))> |
#<alt (* 256/81 (pow u 2))> |
#<alt (* 256/81 (pow u 2))> |
#<alt (* 256/81 (pow u 2))> |
#<alt -16/81> |
#<alt (- (* 256/81 (pow u 2)) 16/81)> |
#<alt (- (* 256/81 (pow u 2)) 16/81)> |
#<alt (- (* 256/81 (pow u 2)) 16/81)> |
#<alt (* 256/81 (pow u 2))> |
#<alt (* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2)))))> |
#<alt (* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2)))))> |
#<alt (* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2)))))> |
#<alt (* 256/81 (pow u 2))> |
#<alt (* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2)))))> |
#<alt (* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2)))))> |
#<alt (* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2)))))> |
#<alt 4/9> |
#<alt (+ 4/9 (* 16/9 u))> |
#<alt (+ 4/9 (* 16/9 u))> |
#<alt (+ 4/9 (* 16/9 u))> |
#<alt (* 16/9 u)> |
#<alt (* u (+ 16/9 (* 4/9 (/ 1 u))))> |
#<alt (* u (+ 16/9 (* 4/9 (/ 1 u))))> |
#<alt (* u (+ 16/9 (* 4/9 (/ 1 u))))> |
#<alt (* 16/9 u)> |
#<alt (* u (+ 16/9 (* 4/9 (/ 1 u))))> |
#<alt (* u (+ 16/9 (* 4/9 (/ 1 u))))> |
#<alt (* u (+ 16/9 (* 4/9 (/ 1 u))))> |
#<alt -1/9> |
#<alt (- (* 8/9 u) 1/9)> |
#<alt (- (* u (+ 8/9 (* -16/9 u))) 1/9)> |
#<alt (- (* u (+ 8/9 (* -16/9 u))) 1/9)> |
#<alt (* -16/9 (pow u 2))> |
#<alt (* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9))> |
#<alt (* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2)))))> |
#<alt (* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2)))))> |
#<alt (* -16/9 (pow u 2))> |
#<alt (* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9))> |
#<alt (* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9))> |
#<alt (* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9))> |
#<alt (log 8/9)> |
#<alt (+ u (log 8/9))> |
#<alt (+ (log 8/9) (* u (+ 1 (* -5/2 u))))> |
#<alt (+ (log 8/9) (* u (+ 1 (* u (- (* 7/3 u) 5/2)))))> |
#<alt (+ (log -16/9) (* -2 (log (/ 1 u))))> |
#<alt (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u)))> |
#<alt (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u))))> |
#<alt (- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u)))> |
#<alt (+ (log -16/9) (* -2 (log (/ -1 u))))> |
#<alt (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u)))> |
#<alt (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u))))> |
#<alt (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (+ (/ 7/24 (pow u 2)) (* 5/8 (/ 1 u)))) u))))> |
#<alt -1/3> |
#<alt (- (* 4/3 u) 1/3)> |
#<alt (- (* 4/3 u) 1/3)> |
#<alt (- (* 4/3 u) 1/3)> |
#<alt (* 4/3 u)> |
#<alt (* u (- 4/3 (* 1/3 (/ 1 u))))> |
#<alt (* u (- 4/3 (* 1/3 (/ 1 u))))> |
#<alt (* u (- 4/3 (* 1/3 (/ 1 u))))> |
#<alt (* 4/3 u)> |
#<alt (* -1 (* u (- (* 1/3 (/ 1 u)) 4/3)))> |
#<alt (* -1 (* u (- (* 1/3 (/ 1 u)) 4/3)))> |
#<alt (* -1 (* u (- (* 1/3 (/ 1 u)) 4/3)))> |
#<alt 4/3> |
#<alt (+ 4/3 (* -4/3 u))> |
#<alt (+ 4/3 (* -4/3 u))> |
#<alt (+ 4/3 (* -4/3 u))> |
#<alt (* -4/3 u)> |
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))> |
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))> |
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))> |
#<alt (* -4/3 u)> |
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))> |
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))> |
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))> |
#<alt (log 8/9)> |
#<alt (+ u (log 8/9))> |
#<alt (+ (log 8/9) (* u (+ 1 (* -5/2 u))))> |
#<alt (+ (log 8/9) (* u (+ 1 (* u (- (* 7/3 u) 5/2)))))> |
#<alt (+ (log -16/9) (* -2 (log (/ 1 u))))> |
#<alt (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u)))> |
#<alt (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u))))> |
#<alt (- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u)))> |
#<alt (+ (log -16/9) (* -2 (log (/ -1 u))))> |
#<alt (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u)))> |
#<alt (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u))))> |
#<alt (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (+ (/ 7/24 (pow u 2)) (* 5/8 (/ 1 u)))) u))))> |
#<alt -4/9> |
#<alt (- (* 16/9 u) 4/9)> |
#<alt (- (* 16/9 u) 4/9)> |
#<alt (- (* 16/9 u) 4/9)> |
#<alt (* 16/9 u)> |
#<alt (* u (- 16/9 (* 4/9 (/ 1 u))))> |
#<alt (* u (- 16/9 (* 4/9 (/ 1 u))))> |
#<alt (* u (- 16/9 (* 4/9 (/ 1 u))))> |
#<alt (* 16/9 u)> |
#<alt (* -1 (* u (- (* 4/9 (/ 1 u)) 16/9)))> |
#<alt (* -1 (* u (- (* 4/9 (/ 1 u)) 16/9)))> |
#<alt (* -1 (* u (- (* 4/9 (/ 1 u)) 16/9)))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | s | @ | 0 | (+ (* (* 3 s) (log (+ 1 (+ (* u 4/3) -1/3)))) (* (* 3 s) (neg (log (+ 1 (* (+ (* 16/9 u) -4/9) (- 1/4 u))))))) |
| 25.0ms | s | @ | 0 | (* (* s (neg (log (+ (* u -4/3) 4/3)))) 3) |
| 2.0ms | u | @ | 0 | (* (* 3 s) (neg (log (+ 1 (* (+ (* 16/9 u) -4/9) (- 1/4 u)))))) |
| 1.0ms | s | @ | inf | (+ (* (* 3 s) (log (+ 1 (+ (* u 4/3) -1/3)))) (* (* 3 s) (neg (log (+ 1 (* (+ (* 16/9 u) -4/9) (- 1/4 u))))))) |
| 1.0ms | s | @ | 0 | (* (* 3 s) (- (log (+ 1 (+ (* u 4/3) -1/3))) (log (+ 1 (* (+ (* 16/9 u) -4/9) (- 1/4 u)))))) |
| 1× | batch-egg-rewrite |
| 5 054× | lower-/.f64 |
| 5 052× | lower-/.f32 |
| 4 844× | lower-fma.f64 |
| 4 836× | lower-fma.f32 |
| 4 782× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 212 |
| 0 | 72 | 171 |
| 1 | 279 | 171 |
| 2 | 1925 | 171 |
| 0 | 9039 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(*.f32 #s(literal 3 binary32) s) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
(*.f32 s (log.f32 #s(literal 3/4 binary32))) |
(log.f32 #s(literal 3/4 binary32)) |
(*.f32 (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) |
(log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
(*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) |
(-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) |
(-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)) |
(*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)))) |
(log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) |
(log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))))) |
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))) |
| Outputs |
|---|
(+.f32 (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
(+.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
(pow.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) (-.f32 (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) (pow.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 2 binary32))) (fma.f32 #s(literal 27 binary32) (pow.f32 (*.f32 s (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))))) (*.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))))))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 3 binary32) (neg.f32 (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
(fma.f32 #s(literal 3 binary32) (*.f32 s (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
(fma.f32 s (*.f32 #s(literal 3 binary32) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
(fma.f32 s (*.f32 #s(literal 3 binary32) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
(fma.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s) (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
(fma.f32 (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 #s(literal 3 binary32) s) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
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(*.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal 16777216/531441 binary32)) #s(literal -4096/531441 binary32)) (/.f32 (fma.f32 (*.f32 u u) #s(literal 256/81 binary32) #s(literal -16/81 binary32)) (fma.f32 (*.f32 u u) #s(literal 256/81 binary32) #s(literal -16/81 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal 65536/6561 binary32) (fma.f32 (*.f32 (*.f32 u u) #s(literal 256/81 binary32)) #s(literal 16/81 binary32) #s(literal 256/6561 binary32)))) (fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32)))) |
(*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal 65536/6561 binary32) #s(literal -256/6561 binary32)) (/.f32 (fma.f32 (*.f32 u u) #s(literal 256/81 binary32) #s(literal -16/81 binary32)) (fma.f32 (*.f32 u u) #s(literal 256/81 binary32) #s(literal -16/81 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 u #s(literal 256/81 binary32)) #s(literal 16/81 binary32))) (fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32)))) |
(*.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal 16777216/531441 binary32)) #s(literal -4096/531441 binary32)) (/.f32 (fma.f32 (*.f32 u u) #s(literal 256/81 binary32) #s(literal -16/81 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal 65536/6561 binary32) (fma.f32 (*.f32 (*.f32 u u) #s(literal 256/81 binary32)) #s(literal 16/81 binary32) #s(literal 256/6561 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal 16777216/531441 binary32)) #s(literal -4096/531441 binary32)) (/.f32 (fma.f32 (*.f32 u u) #s(literal 256/81 binary32) #s(literal -16/81 binary32)) (neg.f32 (fma.f32 (*.f32 u u) #s(literal 256/81 binary32) #s(literal -16/81 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal 65536/6561 binary32) (fma.f32 (*.f32 (*.f32 u u) #s(literal 256/81 binary32)) #s(literal 16/81 binary32) #s(literal 256/6561 binary32)))) (neg.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal 16777216/531441 binary32)) #s(literal -4096/531441 binary32)) (/.f32 (fma.f32 (*.f32 u u) #s(literal 256/81 binary32) #s(literal -16/81 binary32)) (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 4096/729 binary32) #s(literal -64/729 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal 65536/6561 binary32) (fma.f32 (*.f32 (*.f32 u u) #s(literal 256/81 binary32)) #s(literal 16/81 binary32) #s(literal 256/6561 binary32)))) (fma.f32 u (*.f32 u #s(literal 256/81 binary32)) (-.f32 #s(literal 16/81 binary32) (*.f32 u #s(literal -64/81 binary32)))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal 65536/6561 binary32) #s(literal -256/6561 binary32)) (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 4096/729 binary32) #s(literal 64/729 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 u #s(literal 256/81 binary32)) #s(literal 16/81 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 u #s(literal 256/81 binary32)) (fma.f32 u #s(literal -64/81 binary32) #s(literal 16/81 binary32)))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal 65536/6561 binary32) #s(literal -256/6561 binary32)) (/.f32 (fma.f32 (*.f32 u u) #s(literal 256/81 binary32) #s(literal -16/81 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 u #s(literal 256/81 binary32)) #s(literal 16/81 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal 65536/6561 binary32) #s(literal -256/6561 binary32)) (/.f32 (fma.f32 (*.f32 u u) #s(literal 256/81 binary32) #s(literal -16/81 binary32)) (neg.f32 (fma.f32 (*.f32 u u) #s(literal 256/81 binary32) #s(literal -16/81 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 u #s(literal 256/81 binary32)) #s(literal 16/81 binary32))) (neg.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal 65536/6561 binary32) #s(literal -256/6561 binary32)) (/.f32 (fma.f32 (*.f32 u u) #s(literal 256/81 binary32) #s(literal -16/81 binary32)) (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 4096/729 binary32) #s(literal -64/729 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 u #s(literal 256/81 binary32)) #s(literal 16/81 binary32))) (fma.f32 u (*.f32 u #s(literal 256/81 binary32)) (-.f32 #s(literal 16/81 binary32) (*.f32 u #s(literal -64/81 binary32)))))) |
| 1× | egg-herbie |
| 12 352× | lower-fma.f64 |
| 12 352× | lower-fma.f32 |
| 5 170× | lower-+.f64 |
| 5 170× | lower-+.f32 |
| 3 926× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 525 | 4032 |
| 1 | 1548 | 3832 |
| 2 | 4422 | 3596 |
| 0 | 8305 | 3284 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(+ (* -3 (* s (log 8/9))) (* 3 (* s (log 2/3)))) |
(+ (* -3 (* s (log 8/9))) (+ (* 3 (* s (log 2/3))) (* u (+ (* -3 s) (* 6 s))))) |
(+ (* -3 (* s (log 8/9))) (+ (* 3 (* s (log 2/3))) (* u (+ (* -3 s) (+ (* 6 s) (* u (+ (* -6 s) (* 15/2 s)))))))) |
(+ (* -3 (* s (log 8/9))) (+ (* 3 (* s (log 2/3))) (* u (+ (* -3 s) (+ (* 6 s) (* u (+ (* -6 s) (+ (* 15/2 s) (* u (+ (* -7 s) (* 8 s))))))))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* -3/8 (/ s (pow u 2))) (+ (* 15/8 (/ s (pow u 2))) (+ (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* -3/8 (/ s (pow u 2))) (+ (* 1/8 (/ s (pow u 3))) (+ (* 7/8 (/ s (pow u 3))) (+ (* 15/8 (/ s (pow u 2))) (+ (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (+ (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* -3/8 s) (* 15/8 s)) u))) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* -1 (/ (+ (* -7/8 s) (* -1/8 s)) u)) (+ (* -3/8 s) (* 15/8 s))) u))) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log 8/9))) |
(+ (* -3 (* s u)) (* -3 (* s (log 8/9)))) |
(+ (* -3 (* s (log 8/9))) (* u (+ (* -3 s) (* 15/2 (* s u))))) |
(+ (* -3 (* s (log 8/9))) (* u (+ (* -3 s) (* u (+ (* -7 (* s u)) (* 15/2 s)))))) |
(* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (* 3/2 (/ s u))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* 3/2 (/ s u)) (* 15/8 (/ s (pow u 2))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* 7/8 (/ s (pow u 3))) (+ (* 3/2 (/ s u)) (* 15/8 (/ s (pow u 2)))))) |
(* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (* 3/2 (/ s u))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (* -1 (/ (+ (* -15/8 (/ s u)) (* -3/2 s)) u))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (* -1 (/ (+ (* -3/2 s) (* -1 (/ (+ (* 7/8 (/ s u)) (* 15/8 s)) u))) u))) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(log 2/3) |
(+ (log 2/3) (* 2 u)) |
(+ (log 2/3) (* u (+ 2 (* -2 u)))) |
(+ (log 2/3) (* u (+ 2 (* u (- (* 8/3 u) 2))))) |
(+ (log 4/3) (* -1 (log (/ 1 u)))) |
(+ (log 4/3) (+ (* -1 (log (/ 1 u))) (* 1/2 (/ 1 u)))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (* 1/2 (/ 1 u)))) (/ 1/8 (pow u 2))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (* 1/2 (/ 1 u)) (* 1/24 (/ 1 (pow u 3)))))) (/ 1/8 (pow u 2))) |
(+ (log -4/3) (* -1 (log (/ -1 u)))) |
(+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* 1/2 (/ 1 u)))) |
(+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (- (* 1/8 (/ 1 u)) 1/2) u)))) |
(+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 u)) 1/8) u)) 1/2) u)))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* 3 (* s (log 3/4))) |
(* s (log 3/4)) |
(* s (log 3/4)) |
(* s (log 3/4)) |
(* s (log 3/4)) |
(* s (log 3/4)) |
(* s (log 3/4)) |
(* s (log 3/4)) |
(* s (log 3/4)) |
(* s (log 3/4)) |
(* s (log 3/4)) |
(* s (log 3/4)) |
(* s (log 3/4)) |
(* -3 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -3 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -3 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -3 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -3 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -3 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -3 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -3 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -3 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -3 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -3 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -3 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -3 (* s (log 4/3))) |
(+ (* -3 (* s (log 4/3))) (* 3 (* s u))) |
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) |
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))) |
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) |
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u))) |
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u)))) |
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3))))) |
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) |
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u))) |
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u))) |
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u))) |
(* -1 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -1 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -1 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -1 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -1 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -1 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -1 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -1 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -1 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -1 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -1 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -1 (* s (log (+ 4/3 (* -4/3 u))))) |
(* -1 (* s (log 4/3))) |
(+ (* -1 (* s (log 4/3))) (* s u)) |
(+ (* -1 (* s (log 4/3))) (* u (+ s (* 1/2 (* s u))))) |
(+ (* -1 (* s (log 4/3))) (* u (+ s (* u (+ (* 1/3 (* s u)) (* 1/2 s)))))) |
(* -1 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) |
(+ (* -1 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (/ s u)) |
(+ (* -1 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 1/2 (/ s (pow u 2))) (/ s u))) |
(+ (* -1 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 1/3 (/ s (pow u 3))) (+ (* 1/2 (/ s (pow u 2))) (/ s u)))) |
(* -1 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) |
(+ (* -1 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (/ s u)) |
(+ (* -1 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -1 s) (* -1/2 (/ s u))) u))) |
(+ (* -1 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -1 s) (* -1 (/ (+ (* 1/3 (/ s u)) (* 1/2 s)) u))) u))) |
(* -1 (log 4/3)) |
(- u (log 4/3)) |
(- (* u (+ 1 (* 1/2 u))) (log 4/3)) |
(- (* u (+ 1 (* u (+ 1/2 (* 1/3 u))))) (log 4/3)) |
(* -1 (+ (log -4/3) (* -1 (log (/ 1 u))))) |
(- (/ 1 u) (+ (log -4/3) (* -1 (log (/ 1 u))))) |
(- (+ (/ 1/2 (pow u 2)) (/ 1 u)) (+ (log -4/3) (* -1 (log (/ 1 u))))) |
(- (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))) (+ (log -4/3) (* -1 (log (/ 1 u))))) |
(* -1 (+ (log 4/3) (* -1 (log (/ -1 u))))) |
(- (/ 1 u) (+ (log 4/3) (* -1 (log (/ -1 u))))) |
(- (+ (/ 1/2 (pow u 2)) (/ 1 u)) (+ (log 4/3) (* -1 (log (/ -1 u))))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)) (+ (log 4/3) (* -1 (log (/ -1 u))))) |
(log 4/3) |
(+ (log 4/3) (* -1 u)) |
(+ (log 4/3) (* u (- (* -1/2 u) 1))) |
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1))) |
(+ (log -4/3) (* -1 (log (/ 1 u)))) |
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u)) |
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))) |
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u)) |
(+ (log 4/3) (* -1 (log (/ -1 u)))) |
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u)) |
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))) |
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u)))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* 3 (* s (- (log 2/3) (log 8/9)))) |
(+ (* 3 (* s u)) (* 3 (* s (- (log 2/3) (log 8/9))))) |
(+ (* 3 (* s (- (log 2/3) (log 8/9)))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) |
(+ (* 3 (* s (- (log 2/3) (log 8/9)))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))) |
(* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) |
(+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (* 3 (/ s u))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (* 3 (/ s u)))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (+ (* 3 (/ s u)) (/ s (pow u 3))))) |
(* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(+ (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))) (* 3 (/ s u))) |
(+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))))) |
(+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))))) |
(- (log 2/3) (log 8/9)) |
(- (+ u (log 2/3)) (log 8/9)) |
(- (+ (log 2/3) (* u (+ 1 (* 1/2 u)))) (log 8/9)) |
(- (+ (log 2/3) (* u (+ 1 (* u (+ 1/2 (* 1/3 u)))))) (log 8/9)) |
(- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (/ 1 u))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (/ 1 u))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(* 256/81 (pow u 2)) |
(* 256/81 (pow u 2)) |
(* 256/81 (pow u 2)) |
(* 256/81 (pow u 2)) |
(* 256/81 (pow u 2)) |
(* 256/81 (pow u 2)) |
(* 256/81 (pow u 2)) |
(* 256/81 (pow u 2)) |
(* 256/81 (pow u 2)) |
(* 256/81 (pow u 2)) |
(* 256/81 (pow u 2)) |
(* 256/81 (pow u 2)) |
-16/81 |
(- (* 256/81 (pow u 2)) 16/81) |
(- (* 256/81 (pow u 2)) 16/81) |
(- (* 256/81 (pow u 2)) 16/81) |
(* 256/81 (pow u 2)) |
(* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2))))) |
(* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2))))) |
(* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2))))) |
(* 256/81 (pow u 2)) |
(* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2))))) |
(* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2))))) |
(* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2))))) |
4/9 |
(+ 4/9 (* 16/9 u)) |
(+ 4/9 (* 16/9 u)) |
(+ 4/9 (* 16/9 u)) |
(* 16/9 u) |
(* u (+ 16/9 (* 4/9 (/ 1 u)))) |
(* u (+ 16/9 (* 4/9 (/ 1 u)))) |
(* u (+ 16/9 (* 4/9 (/ 1 u)))) |
(* 16/9 u) |
(* u (+ 16/9 (* 4/9 (/ 1 u)))) |
(* u (+ 16/9 (* 4/9 (/ 1 u)))) |
(* u (+ 16/9 (* 4/9 (/ 1 u)))) |
-1/9 |
(- (* 8/9 u) 1/9) |
(- (* u (+ 8/9 (* -16/9 u))) 1/9) |
(- (* u (+ 8/9 (* -16/9 u))) 1/9) |
(* -16/9 (pow u 2)) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9)) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2))))) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2))))) |
(* -16/9 (pow u 2)) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9)) |
(* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9)) |
(* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9)) |
(log 8/9) |
(+ u (log 8/9)) |
(+ (log 8/9) (* u (+ 1 (* -5/2 u)))) |
(+ (log 8/9) (* u (+ 1 (* u (- (* 7/3 u) 5/2))))) |
(+ (log -16/9) (* -2 (log (/ 1 u)))) |
(- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (* -2 (log (/ -1 u)))) |
(- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (+ (/ 7/24 (pow u 2)) (* 5/8 (/ 1 u)))) u)))) |
-1/3 |
(- (* 4/3 u) 1/3) |
(- (* 4/3 u) 1/3) |
(- (* 4/3 u) 1/3) |
(* 4/3 u) |
(* u (- 4/3 (* 1/3 (/ 1 u)))) |
(* u (- 4/3 (* 1/3 (/ 1 u)))) |
(* u (- 4/3 (* 1/3 (/ 1 u)))) |
(* 4/3 u) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
4/3 |
(+ 4/3 (* -4/3 u)) |
(+ 4/3 (* -4/3 u)) |
(+ 4/3 (* -4/3 u)) |
(* -4/3 u) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(* -4/3 u) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(log 8/9) |
(+ u (log 8/9)) |
(+ (log 8/9) (* u (+ 1 (* -5/2 u)))) |
(+ (log 8/9) (* u (+ 1 (* u (- (* 7/3 u) 5/2))))) |
(+ (log -16/9) (* -2 (log (/ 1 u)))) |
(- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (* -2 (log (/ -1 u)))) |
(- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (+ (/ 7/24 (pow u 2)) (* 5/8 (/ 1 u)))) u)))) |
-4/9 |
(- (* 16/9 u) 4/9) |
(- (* 16/9 u) 4/9) |
(- (* 16/9 u) 4/9) |
(* 16/9 u) |
(* u (- 16/9 (* 4/9 (/ 1 u)))) |
(* u (- 16/9 (* 4/9 (/ 1 u)))) |
(* u (- 16/9 (* 4/9 (/ 1 u)))) |
(* 16/9 u) |
(* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) |
(* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) |
(* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) |
| Outputs |
|---|
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(+ (* -3 (* s (log 8/9))) (* 3 (* s (log 2/3)))) |
(*.f32 s (fma.f32 #s(literal -3 binary32) (log.f32 #s(literal 8/9 binary32)) (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 2/3 binary32))))) |
(+ (* -3 (* s (log 8/9))) (+ (* 3 (* s (log 2/3))) (* u (+ (* -3 s) (* 6 s))))) |
(fma.f32 s (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 8/9 binary32))) (*.f32 #s(literal 3 binary32) (*.f32 s (+.f32 u (log.f32 #s(literal 2/3 binary32)))))) |
(+ (* -3 (* s (log 8/9))) (+ (* 3 (* s (log 2/3))) (* u (+ (* -3 s) (+ (* 6 s) (* u (+ (* -6 s) (* 15/2 s)))))))) |
(fma.f32 s (fma.f32 #s(literal -3 binary32) (log.f32 #s(literal 8/9 binary32)) (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 2/3 binary32)))) (*.f32 (*.f32 s u) (fma.f32 u #s(literal 3/2 binary32) #s(literal 3 binary32)))) |
(+ (* -3 (* s (log 8/9))) (+ (* 3 (* s (log 2/3))) (* u (+ (* -3 s) (+ (* 6 s) (* u (+ (* -6 s) (+ (* 15/2 s) (* u (+ (* -7 s) (* 8 s))))))))))) |
(fma.f32 u (fma.f32 (*.f32 s u) (+.f32 u #s(literal 3/2 binary32)) (*.f32 s #s(literal 3 binary32))) (*.f32 s (fma.f32 #s(literal -3 binary32) (log.f32 #s(literal 8/9 binary32)) (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 2/3 binary32)))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))) |
(*.f32 s (fma.f32 #s(literal -3 binary32) (fma.f32 (log.f32 u) #s(literal 2 binary32) (log.f32 #s(literal -16/9 binary32))) (*.f32 (+.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 u)) #s(literal 3 binary32)))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))) |
(fma.f32 s (fma.f32 #s(literal -3 binary32) (fma.f32 (log.f32 u) #s(literal 2 binary32) (log.f32 #s(literal -16/9 binary32))) (/.f32 #s(literal 3 binary32) u)) (*.f32 s (*.f32 #s(literal 3 binary32) (+.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 u))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* -3/8 (/ s (pow u 2))) (+ (* 15/8 (/ s (pow u 2))) (+ (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))))) |
(fma.f32 s (fma.f32 #s(literal -3 binary32) (fma.f32 (log.f32 u) #s(literal 2 binary32) (log.f32 #s(literal -16/9 binary32))) (/.f32 #s(literal 3/2 binary32) (*.f32 u u))) (*.f32 s (fma.f32 #s(literal 3 binary32) (+.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 u)) (/.f32 #s(literal 3 binary32) u)))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* -3/8 (/ s (pow u 2))) (+ (* 1/8 (/ s (pow u 3))) (+ (* 7/8 (/ s (pow u 3))) (+ (* 15/8 (/ s (pow u 2))) (+ (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))))))) |
(fma.f32 s (*.f32 #s(literal -3 binary32) (fma.f32 (log.f32 u) #s(literal 2 binary32) (log.f32 #s(literal -16/9 binary32)))) (+.f32 (/.f32 s (*.f32 u (*.f32 u u))) (fma.f32 (/.f32 s u) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3/2 binary32) u)) (*.f32 s (*.f32 #s(literal 3 binary32) (+.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 u))))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) |
(*.f32 s (fma.f32 #s(literal -3 binary32) (fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (log.f32 #s(literal -16/9 binary32))) (*.f32 #s(literal 3 binary32) (-.f32 (log.f32 #s(literal -4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u))))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (+ (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))) |
(fma.f32 s (fma.f32 #s(literal -3 binary32) (fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (log.f32 #s(literal -16/9 binary32))) (/.f32 #s(literal 3 binary32) u)) (*.f32 (-.f32 (log.f32 #s(literal -4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u)))) (*.f32 s #s(literal 3 binary32)))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* -3/8 s) (* 15/8 s)) u))) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))))) |
(fma.f32 s (fma.f32 #s(literal -3 binary32) (fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (log.f32 #s(literal -16/9 binary32))) (*.f32 #s(literal 3 binary32) (-.f32 (log.f32 #s(literal -4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u)))))) (neg.f32 (/.f32 (*.f32 s (+.f32 (/.f32 #s(literal -3/2 binary32) u) #s(literal -3 binary32))) u))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* -1 (/ (+ (* -7/8 s) (* -1/8 s)) u)) (+ (* -3/8 s) (* 15/8 s))) u))) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))))) |
(fma.f32 s (fma.f32 #s(literal -3 binary32) (fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (log.f32 #s(literal -16/9 binary32))) (*.f32 #s(literal 3 binary32) (-.f32 (log.f32 #s(literal -4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u)))))) (neg.f32 (/.f32 (fma.f32 s #s(literal -3 binary32) (/.f32 (fma.f32 s #s(literal 3/2 binary32) (/.f32 s u)) (neg.f32 u))) u))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))) (*.f32 s #s(literal -3 binary32))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))) (*.f32 s #s(literal -3 binary32))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))) (*.f32 s #s(literal -3 binary32))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))) (*.f32 s #s(literal -3 binary32))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))) (*.f32 s #s(literal -3 binary32))) |
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(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))) (*.f32 s #s(literal -3 binary32))) |
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(*.f32 (*.f32 u u) #s(literal 256/81 binary32)) |
(* 256/81 (pow u 2)) |
(*.f32 (*.f32 u u) #s(literal 256/81 binary32)) |
-16/81 |
#s(literal -16/81 binary32) |
(- (* 256/81 (pow u 2)) 16/81) |
(fma.f32 u (*.f32 u #s(literal 256/81 binary32)) #s(literal -16/81 binary32)) |
(- (* 256/81 (pow u 2)) 16/81) |
(fma.f32 u (*.f32 u #s(literal 256/81 binary32)) #s(literal -16/81 binary32)) |
(- (* 256/81 (pow u 2)) 16/81) |
(fma.f32 u (*.f32 u #s(literal 256/81 binary32)) #s(literal -16/81 binary32)) |
(* 256/81 (pow u 2)) |
(*.f32 (*.f32 u u) #s(literal 256/81 binary32)) |
(* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2))))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 256/81 binary32) (/.f32 #s(literal -16/81 binary32) (*.f32 u u)))) |
(* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2))))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 256/81 binary32) (/.f32 #s(literal -16/81 binary32) (*.f32 u u)))) |
(* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2))))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 256/81 binary32) (/.f32 #s(literal -16/81 binary32) (*.f32 u u)))) |
(* 256/81 (pow u 2)) |
(*.f32 (*.f32 u u) #s(literal 256/81 binary32)) |
(* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2))))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 256/81 binary32) (/.f32 #s(literal -16/81 binary32) (*.f32 u u)))) |
(* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2))))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 256/81 binary32) (/.f32 #s(literal -16/81 binary32) (*.f32 u u)))) |
(* (pow u 2) (- 256/81 (* 16/81 (/ 1 (pow u 2))))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 256/81 binary32) (/.f32 #s(literal -16/81 binary32) (*.f32 u u)))) |
4/9 |
#s(literal 4/9 binary32) |
(+ 4/9 (* 16/9 u)) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32)) |
(+ 4/9 (* 16/9 u)) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32)) |
(+ 4/9 (* 16/9 u)) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32)) |
(* 16/9 u) |
(*.f32 u #s(literal 16/9 binary32)) |
(* u (+ 16/9 (* 4/9 (/ 1 u)))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32)) |
(* u (+ 16/9 (* 4/9 (/ 1 u)))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32)) |
(* u (+ 16/9 (* 4/9 (/ 1 u)))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32)) |
(* 16/9 u) |
(*.f32 u #s(literal 16/9 binary32)) |
(* u (+ 16/9 (* 4/9 (/ 1 u)))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32)) |
(* u (+ 16/9 (* 4/9 (/ 1 u)))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32)) |
(* u (+ 16/9 (* 4/9 (/ 1 u)))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal 4/9 binary32)) |
-1/9 |
#s(literal -1/9 binary32) |
(- (* 8/9 u) 1/9) |
(fma.f32 u #s(literal 8/9 binary32) #s(literal -1/9 binary32)) |
(- (* u (+ 8/9 (* -16/9 u))) 1/9) |
(fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) |
(- (* u (+ 8/9 (* -16/9 u))) 1/9) |
(fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) |
(* -16/9 (pow u 2)) |
(*.f32 #s(literal -16/9 binary32) (*.f32 u u)) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9)) |
(*.f32 (*.f32 u u) (+.f32 #s(literal -16/9 binary32) (/.f32 #s(literal 8/9 binary32) u))) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2))))) |
(*.f32 (*.f32 u u) (fma.f32 (/.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 8/9 binary32) (/.f32 #s(literal 1/9 binary32) u)) #s(literal -16/9 binary32))) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2))))) |
(*.f32 (*.f32 u u) (fma.f32 (/.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 8/9 binary32) (/.f32 #s(literal 1/9 binary32) u)) #s(literal -16/9 binary32))) |
(* -16/9 (pow u 2)) |
(*.f32 #s(literal -16/9 binary32) (*.f32 u u)) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9)) |
(*.f32 (*.f32 u u) (+.f32 #s(literal -16/9 binary32) (/.f32 #s(literal 8/9 binary32) u))) |
(* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9)) |
(*.f32 (*.f32 u u) (-.f32 #s(literal -16/9 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/9 binary32) u) #s(literal -8/9 binary32)) u))) |
(* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9)) |
(*.f32 (*.f32 u u) (-.f32 #s(literal -16/9 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/9 binary32) u) #s(literal -8/9 binary32)) u))) |
(log 8/9) |
(log.f32 #s(literal 8/9 binary32)) |
(+ u (log 8/9)) |
(+.f32 u (log.f32 #s(literal 8/9 binary32))) |
(+ (log 8/9) (* u (+ 1 (* -5/2 u)))) |
(fma.f32 u (fma.f32 u #s(literal -5/2 binary32) #s(literal 1 binary32)) (log.f32 #s(literal 8/9 binary32))) |
(+ (log 8/9) (* u (+ 1 (* u (- (* 7/3 u) 5/2))))) |
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal 7/3 binary32) #s(literal -5/2 binary32)) #s(literal 1 binary32)) (log.f32 #s(literal 8/9 binary32))) |
(+ (log -16/9) (* -2 (log (/ 1 u)))) |
(fma.f32 (log.f32 u) #s(literal 2 binary32) (log.f32 #s(literal -16/9 binary32))) |
(- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u))) |
(+.f32 (log.f32 #s(literal -16/9 binary32)) (fma.f32 (log.f32 u) #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) u))) |
(+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(fma.f32 (log.f32 u) #s(literal 2 binary32) (-.f32 (log.f32 #s(literal -16/9 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 5/8 binary32) u)) u))) |
(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u))) |
(+.f32 (-.f32 (log.f32 #s(literal -16/9 binary32)) (/.f32 (+.f32 #s(literal 5/8 binary32) (/.f32 #s(literal 7/24 binary32) u)) (*.f32 u u))) (fma.f32 (log.f32 u) #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) u))) |
(+ (log -16/9) (* -2 (log (/ -1 u)))) |
(fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (log.f32 #s(literal -16/9 binary32))) |
(- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u))) |
(+.f32 (log.f32 #s(literal -16/9 binary32)) (fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (/.f32 #s(literal -1/2 binary32) u))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (-.f32 (log.f32 #s(literal -16/9 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 5/8 binary32) u)) u))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (+ (/ 7/24 (pow u 2)) (* 5/8 (/ 1 u)))) u)))) |
(-.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (log.f32 #s(literal -16/9 binary32))) (/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 5/8 binary32) u)) (/.f32 #s(literal 7/24 binary32) (*.f32 u u))) u)) |
-1/3 |
#s(literal -1/3 binary32) |
(- (* 4/3 u) 1/3) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
(- (* 4/3 u) 1/3) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
(- (* 4/3 u) 1/3) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
(* 4/3 u) |
(*.f32 u #s(literal 4/3 binary32)) |
(* u (- 4/3 (* 1/3 (/ 1 u)))) |
(*.f32 u (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1/3 binary32) u))) |
(* u (- 4/3 (* 1/3 (/ 1 u)))) |
(*.f32 u (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1/3 binary32) u))) |
(* u (- 4/3 (* 1/3 (/ 1 u)))) |
(*.f32 u (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1/3 binary32) u))) |
(* 4/3 u) |
(*.f32 u #s(literal 4/3 binary32)) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(*.f32 u (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1/3 binary32) u))) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(*.f32 u (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1/3 binary32) u))) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(*.f32 u (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1/3 binary32) u))) |
4/3 |
#s(literal 4/3 binary32) |
(+ 4/3 (* -4/3 u)) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) |
(+ 4/3 (* -4/3 u)) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) |
(+ 4/3 (* -4/3 u)) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) |
(* -4/3 u) |
(*.f32 u #s(literal -4/3 binary32)) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) |
(* u (- (* 4/3 (/ 1 u)) 4/3)) |
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) |
(* -4/3 u) |
(*.f32 u #s(literal -4/3 binary32)) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(*.f32 (neg.f32 u) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u))) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(*.f32 (neg.f32 u) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u))) |
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) |
(*.f32 (neg.f32 u) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u))) |
(log 8/9) |
(log.f32 #s(literal 8/9 binary32)) |
(+ u (log 8/9)) |
(+.f32 u (log.f32 #s(literal 8/9 binary32))) |
(+ (log 8/9) (* u (+ 1 (* -5/2 u)))) |
(fma.f32 u (fma.f32 u #s(literal -5/2 binary32) #s(literal 1 binary32)) (log.f32 #s(literal 8/9 binary32))) |
(+ (log 8/9) (* u (+ 1 (* u (- (* 7/3 u) 5/2))))) |
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal 7/3 binary32) #s(literal -5/2 binary32)) #s(literal 1 binary32)) (log.f32 #s(literal 8/9 binary32))) |
(+ (log -16/9) (* -2 (log (/ 1 u)))) |
(fma.f32 (log.f32 u) #s(literal 2 binary32) (log.f32 #s(literal -16/9 binary32))) |
(- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u))) |
(+.f32 (log.f32 #s(literal -16/9 binary32)) (fma.f32 (log.f32 u) #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) u))) |
(+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(fma.f32 (log.f32 u) #s(literal 2 binary32) (-.f32 (log.f32 #s(literal -16/9 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 5/8 binary32) u)) u))) |
(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u))) |
(+.f32 (-.f32 (log.f32 #s(literal -16/9 binary32)) (/.f32 (+.f32 #s(literal 5/8 binary32) (/.f32 #s(literal 7/24 binary32) u)) (*.f32 u u))) (fma.f32 (log.f32 u) #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) u))) |
(+ (log -16/9) (* -2 (log (/ -1 u)))) |
(fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (log.f32 #s(literal -16/9 binary32))) |
(- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u))) |
(+.f32 (log.f32 #s(literal -16/9 binary32)) (fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (/.f32 #s(literal -1/2 binary32) u))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (-.f32 (log.f32 #s(literal -16/9 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 5/8 binary32) u)) u))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (+ (/ 7/24 (pow u 2)) (* 5/8 (/ 1 u)))) u)))) |
(-.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (log.f32 #s(literal -16/9 binary32))) (/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 5/8 binary32) u)) (/.f32 #s(literal 7/24 binary32) (*.f32 u u))) u)) |
-4/9 |
#s(literal -4/9 binary32) |
(- (* 16/9 u) 4/9) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
(- (* 16/9 u) 4/9) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
(- (* 16/9 u) 4/9) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
(* 16/9 u) |
(*.f32 u #s(literal 16/9 binary32)) |
(* u (- 16/9 (* 4/9 (/ 1 u)))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
(* u (- 16/9 (* 4/9 (/ 1 u)))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
(* u (- 16/9 (* 4/9 (/ 1 u)))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
(* 16/9 u) |
(*.f32 u #s(literal 16/9 binary32)) |
(* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
(* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
(* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
Compiled 42 499 to 4 475 computations (89.5% saved)
29 alts after pruning (25 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 246 | 15 | 1 261 |
| Fresh | 14 | 10 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 263 | 29 | 1 292 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.3% | (fma.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) s (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
| ▶ | 98.2% | (fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
| 97.1% | (fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log.f32 (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))))) | |
| 98.3% | (fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))) (*.f32 s #s(literal -3 binary32)))) | |
| 97.7% | (fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u (*.f32 u #s(literal 16/9 binary32)) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal 1/3 binary32))))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) | |
| 95.7% | (fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))))))) | |
| 92.6% | (*.f32 (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))))) (-.f32 (*.f32 s (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) (neg.f32 (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))))) | |
| ▶ | 97.8% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
| 95.6% | (*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) #s(literal 3 binary32)) s) | |
| 96.0% | (*.f32 (*.f32 s (neg.f32 (-.f32 (log.f32 (neg.f32 (fma.f32 u (*.f32 u #s(literal 16/9 binary32)) #s(literal -16/9 binary32)))) (log.f32 (neg.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal -4/3 binary32))))))) #s(literal 3 binary32)) | |
| ✓ | 97.1% | (*.f32 (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) #s(literal 3 binary32)) |
| 95.6% | (*.f32 (*.f32 s (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) #s(literal 3 binary32)) | |
| ✓ | 7.6% | (*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
| 97.9% | (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) | |
| 97.1% | (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) | |
| ▶ | 98.2% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
| 97.1% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log.f32 (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) | |
| 97.7% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 (fma.f32 #s(literal 64/27 binary32) (*.f32 u (*.f32 u u)) #s(literal -1/27 binary32)) (fma.f32 u (*.f32 u #s(literal 16/9 binary32)) (-.f32 #s(literal 1/9 binary32) (*.f32 u #s(literal -4/9 binary32)))))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) | |
| 97.8% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (+.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) | |
| 26.2% | (*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) | |
| 95.8% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))))) | |
| ✓ | 96.3% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))) |
| 95.5% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 4/3 binary32))))) | |
| 95.3% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))))) #s(literal 4096/729 binary32)))) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32))))) | |
| ✓ | 7.6% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
| 97.9% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) | |
| 97.0% | (*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) | |
| 98.2% | (*.f32 #s(literal 3 binary32) (fma.f32 s (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 s (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))))) | |
| ▶ | 26.2% | (*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
Compiled 1 223 to 861 computations (29.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 3 binary32) s) |
| ✓ | cost-diff | 64 | (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)) |
| ✓ | cost-diff | 320 | (fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
| ✓ | cost-diff | 0 | (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
| ✓ | cost-diff | 0 | (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 3 binary32) s) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
| ✓ | cost-diff | 0 | (neg.f32 s) |
| ✓ | cost-diff | 0 | (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
| ✓ | cost-diff | 64 | (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
| ✓ | cost-diff | 0 | (log.f32 #s(literal 3/4 binary32)) |
| ✓ | cost-diff | 0 | (+.f32 u (log.f32 #s(literal 3/4 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
| ✓ | cost-diff | 0 | (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) |
| ✓ | cost-diff | 64 | (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)) |
| ✓ | cost-diff | 64 | (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
| ✓ | cost-diff | 256 | (fma.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) s (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
| 13 968× | lower-fma.f64 |
| 13 956× | lower-fma.f32 |
| 2 672× | lower-*.f64 |
| 2 652× | lower-*.f32 |
| 1 796× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 324 |
| 0 | 79 | 322 |
| 1 | 157 | 317 |
| 2 | 365 | 317 |
| 3 | 737 | 317 |
| 4 | 1243 | 317 |
| 5 | 1904 | 305 |
| 6 | 2970 | 305 |
| 7 | 4738 | 305 |
| 8 | 5846 | 305 |
| 9 | 6644 | 305 |
| 10 | 6807 | 305 |
| 11 | 6958 | 305 |
| 12 | 7028 | 305 |
| 13 | 7235 | 305 |
| 14 | 7339 | 305 |
| 15 | 7397 | 305 |
| 16 | 7406 | 305 |
| 17 | 7406 | 305 |
| 18 | 7582 | 305 |
| 19 | 7688 | 305 |
| 20 | 7812 | 305 |
| 0 | 8069 | 301 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) s (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
(*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
#s(literal 3 binary32) |
s |
(neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
(*.f32 #s(literal 3 binary32) s) |
(log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) |
(*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
#s(literal 16/9 binary32) |
#s(literal -4/9 binary32) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
(*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
#s(literal 3 binary32) |
(*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s) |
(+.f32 u (log.f32 #s(literal 3/4 binary32))) |
u |
(log.f32 #s(literal 3/4 binary32)) |
#s(literal 3/4 binary32) |
s |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
(neg.f32 s) |
s |
(log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) |
(neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
#s(literal 3 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
(log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) |
(fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) |
(fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) |
#s(literal -16/9 binary32) |
#s(literal 8/9 binary32) |
#s(literal -1/9 binary32) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
(log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) |
(*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
u |
#s(literal 16/9 binary32) |
#s(literal -4/9 binary32) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
| Outputs |
|---|
(fma.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) s (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
(*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
#s(literal 3 binary32) |
s |
(neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(*.f32 (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (*.f32 s #s(literal -3 binary32))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) |
(*.f32 #s(literal 3 binary32) s) |
(log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) |
(log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) |
(*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)) |
(fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
#s(literal 16/9 binary32) |
#s(literal -4/9 binary32) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
(*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) |
#s(literal 3 binary32) |
(*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s) |
(*.f32 s (+.f32 u (log.f32 #s(literal 3/4 binary32)))) |
(+.f32 u (log.f32 #s(literal 3/4 binary32))) |
u |
(log.f32 #s(literal 3/4 binary32)) |
#s(literal 3/4 binary32) |
s |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) (*.f32 s #s(literal -3 binary32))) |
(*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
(*.f32 (neg.f32 s) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) |
(neg.f32 s) |
s |
(log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) |
(log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) |
(neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
#s(literal 3 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
(log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) |
(fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) |
(fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) |
#s(literal -16/9 binary32) |
#s(literal 8/9 binary32) |
#s(literal -1/9 binary32) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
(neg.f32 (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) |
(log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) |
(log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) |
(*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)) |
(fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) |
(fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) |
u |
#s(literal 16/9 binary32) |
#s(literal -4/9 binary32) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) |
(*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s)) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
#s(literal 4/3 binary32) |
#s(literal -1/3 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
| ✓ | accuracy | 99.1% | (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
| ✓ | accuracy | 98.7% | (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) |
| ✓ | accuracy | 98.7% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) |
| ✓ | accuracy | 99.1% | (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
| ✓ | accuracy | 98.7% | (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) |
| ✓ | accuracy | 97.2% | (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) |
| ✓ | accuracy | 99.3% | (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
| ✓ | accuracy | 99.1% | (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
| ✓ | accuracy | 99.0% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
| ✓ | accuracy | 98.7% | (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) |
| ✓ | accuracy | 100.0% | (log.f32 #s(literal 3/4 binary32)) |
| ✓ | accuracy | 99.1% | (*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
| ✓ | accuracy | 99.0% | (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s) |
| ✓ | accuracy | 96.4% | (+.f32 u (log.f32 #s(literal 3/4 binary32))) |
| ✓ | accuracy | 99.1% | (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
| ✓ | accuracy | 99.0% | (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
| ✓ | accuracy | 98.7% | (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) |
| 103.0ms | 256× | 0 | valid |
Compiled 409 to 48 computations (88.3% saved)
ival-mult: 31.0ms (37.5% of total)const: 22.0ms (26.6% of total)ival-log1p: 13.0ms (15.7% of total)ival-add: 8.0ms (9.7% of total)ival-neg: 4.0ms (4.8% of total)ival-sub: 2.0ms (2.4% of total)ival-log: 2.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) s (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))))> |
#<alt (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))> |
#<alt (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))> |
#<alt (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32))> |
#<alt (*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s))> |
#<alt (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)> |
#<alt (+.f32 u (log.f32 #s(literal 3/4 binary32)))> |
#<alt (log.f32 #s(literal 3/4 binary32))> |
#<alt (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32))> |
#<alt (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))> |
#<alt (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))))> |
#<alt (neg.f32 s)> |
#<alt (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))> |
#<alt (*.f32 #s(literal 3 binary32) s)> |
#<alt (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))> |
#<alt (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))> |
#<alt (fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))))> |
#<alt (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))> |
#<alt (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))> |
#<alt (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))> |
#<alt (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))> |
#<alt (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))> |
#<alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))> |
#<alt (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))> |
#<alt (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))> |
| Outputs |
|---|
#<alt (- (* 3 (* s (log 2/3))) (* 3 (* s (log 8/9))))> |
#<alt (- (+ (* 3 (* s (log 2/3))) (* u (- (* 6 s) (* 3 s)))) (* 3 (* s (log 8/9))))> |
#<alt (- (+ (* 3 (* s (log 2/3))) (* u (- (+ (* 6 s) (* u (- (* -6 s) (* -15/2 s)))) (* 3 s)))) (* 3 (* s (log 8/9))))> |
#<alt (- (+ (* 3 (* s (log 2/3))) (* u (- (+ (* 6 s) (* u (- (+ (* -6 s) (* u (- (* 8 s) (* 7 s)))) (* -15/2 s)))) (* 3 s)))) (* 3 (* s (log 8/9))))> |
#<alt (- (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))))> |
#<alt (- (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))) (+ (* -3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u))))))))> |
#<alt (- (+ (* -3/8 (/ s (pow u 2))) (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))))) (+ (* -15/8 (/ s (pow u 2))) (+ (* -3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))))))> |
#<alt (- (+ (* -3/8 (/ s (pow u 2))) (+ (* 1/8 (/ s (pow u 3))) (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))))) (+ (* -15/8 (/ s (pow u 2))) (+ (* -3/2 (/ s u)) (+ (* -7/8 (/ s (pow u 3))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u))))))))))> |
#<alt (- (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))))> |
#<alt (- (+ (* -1 (/ (- (* -3/2 s) (* 3/2 s)) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))))> |
#<alt (- (+ (* -1 (/ (- (+ (* -3/2 s) (* -1 (/ (- (* -3/8 s) (* -15/8 s)) u))) (* 3/2 s)) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))))> |
#<alt (- (+ (* -1 (/ (- (+ (* -3/2 s) (* -1 (/ (- (+ (* -1 (/ (- (* -1/8 s) (* 7/8 s)) u)) (* -3/8 s)) (* -15/8 s)) u))) (* 3/2 s)) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))))> |
#<alt (* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))> |
#<alt (* -1 (* s (- (* -3 (log (+ 2/3 (* 4/3 u)))) (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))))> |
#<alt (* -1 (* s (- (* -3 (log (+ 2/3 (* 4/3 u)))) (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))))> |
#<alt (* -1 (* s (- (* -3 (log (+ 2/3 (* 4/3 u)))) (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))))> |
#<alt (* -1 (* s (- (* -3 (log (+ 2/3 (* 4/3 u)))) (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))> |
#<alt (* -3 (* s (log 8/9)))> |
#<alt (- (* -3 (* s u)) (* 3 (* s (log 8/9))))> |
#<alt (- (* u (- (* 15/2 (* s u)) (* 3 s))) (* 3 (* s (log 8/9))))> |
#<alt (- (* u (- (* u (- (* -7 (* s u)) (* -15/2 s))) (* 3 s))) (* 3 (* s (log 8/9))))> |
#<alt (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u))))))> |
#<alt (- (* 3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))))> |
#<alt (- (* 15/8 (/ s (pow u 2))) (+ (* -3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u))))))))> |
#<alt (- (* 7/8 (/ s (pow u 3))) (+ (* -15/8 (/ s (pow u 2))) (+ (* -3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))))))> |
#<alt (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))> |
#<alt (- (* 3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))))> |
#<alt (- (* -1 (/ (- (* -15/8 (/ s u)) (* 3/2 s)) u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))))> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 7/8 (/ s u)) (* -15/8 s)) u)) (* 3/2 s)) u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))))> |
#<alt -1/9> |
#<alt (- (* 8/9 u) 1/9)> |
#<alt (- (* u (+ 8/9 (* -16/9 u))) 1/9)> |
#<alt (- (* u (+ 8/9 (* -16/9 u))) 1/9)> |
#<alt (* -16/9 (pow u 2))> |
#<alt (* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9))> |
#<alt (* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2)))))> |
#<alt (* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2)))))> |
#<alt (* -16/9 (pow u 2))> |
#<alt (* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9))> |
#<alt (* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9))> |
#<alt (* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9))> |
#<alt (* 3 (log 2/3))> |
#<alt (+ (* 3 (log 2/3)) (* 6 u))> |
#<alt (+ (* 3 (log 2/3)) (* u (+ 6 (* -6 u))))> |
#<alt (+ (* 3 (log 2/3)) (* u (+ 6 (* u (- (* 8 u) 6)))))> |
#<alt (* 3 (+ (log 4/3) (* -1 (log (/ 1 u)))))> |
#<alt (+ (* 3 (+ (log 4/3) (* -1 (log (/ 1 u))))) (* 3/2 (/ 1 u)))> |
#<alt (- (+ (* 3 (+ (log 4/3) (* -1 (log (/ 1 u))))) (* 3/2 (/ 1 u))) (/ 3/8 (pow u 2)))> |
#<alt (- (+ (* 3 (+ (log 4/3) (* -1 (log (/ 1 u))))) (+ (* 3/2 (/ 1 u)) (* 1/8 (/ 1 (pow u 3))))) (/ 3/8 (pow u 2)))> |
#<alt (* 3 (+ (log -4/3) (* -1 (log (/ -1 u)))))> |
#<alt (+ (* 3 (+ (log -4/3) (* -1 (log (/ -1 u))))) (* 3/2 (/ 1 u)))> |
#<alt (+ (* -1 (/ (- (* 3/8 (/ 1 u)) 3/2) u)) (* 3 (+ (log -4/3) (* -1 (log (/ -1 u))))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 u)) 3/8) u)) 3/2) u)) (* 3 (+ (log -4/3) (* -1 (log (/ -1 u))))))> |
#<alt (* 3 (* s (log 3/4)))> |
#<alt (+ (* 3 (* s u)) (* 3 (* s (log 3/4))))> |
#<alt (+ (* 3 (* s u)) (* 3 (* s (log 3/4))))> |
#<alt (+ (* 3 (* s u)) (* 3 (* s (log 3/4))))> |
#<alt (* 3 (* s u))> |
#<alt (* u (+ (* 3 s) (* 3 (/ (* s (log 3/4)) u))))> |
#<alt (* u (+ (* 3 s) (* 3 (/ (* s (log 3/4)) u))))> |
#<alt (* u (+ (* 3 s) (* 3 (/ (* s (log 3/4)) u))))> |
#<alt (* 3 (* s u))> |
#<alt (* -1 (* u (+ (* -3 s) (* -3 (/ (* s (log 3/4)) u)))))> |
#<alt (* -1 (* u (+ (* -3 s) (* -3 (/ (* s (log 3/4)) u)))))> |
#<alt (* -1 (* u (+ (* -3 s) (* -3 (/ (* s (log 3/4)) u)))))> |
#<alt (* 3 (* s (+ u (log 3/4))))> |
#<alt (* 3 (* s (+ u (log 3/4))))> |
#<alt (* 3 (* s (+ u (log 3/4))))> |
#<alt (* 3 (* s (+ u (log 3/4))))> |
#<alt (* 3 (* s (+ u (log 3/4))))> |
#<alt (* 3 (* s (+ u (log 3/4))))> |
#<alt (* 3 (* s (+ u (log 3/4))))> |
#<alt (* 3 (* s (+ u (log 3/4))))> |
#<alt (* 3 (* s (+ u (log 3/4))))> |
#<alt (* 3 (* s (+ u (log 3/4))))> |
#<alt (* 3 (* s (+ u (log 3/4))))> |
#<alt (* 3 (* s (+ u (log 3/4))))> |
#<alt (* s (log 3/4))> |
#<alt (+ (* s u) (* s (log 3/4)))> |
#<alt (+ (* s u) (* s (log 3/4)))> |
#<alt (+ (* s u) (* s (log 3/4)))> |
#<alt (* s u)> |
#<alt (* u (+ s (/ (* s (log 3/4)) u)))> |
#<alt (* u (+ s (/ (* s (log 3/4)) u)))> |
#<alt (* u (+ s (/ (* s (log 3/4)) u)))> |
#<alt (* s u)> |
#<alt (* -1 (* u (+ (* -1 s) (* -1 (/ (* s (log 3/4)) u)))))> |
#<alt (* -1 (* u (+ (* -1 s) (* -1 (/ (* s (log 3/4)) u)))))> |
#<alt (* -1 (* u (+ (* -1 s) (* -1 (/ (* s (log 3/4)) u)))))> |
#<alt (* s (+ u (log 3/4)))> |
#<alt (* s (+ u (log 3/4)))> |
#<alt (* s (+ u (log 3/4)))> |
#<alt (* s (+ u (log 3/4)))> |
#<alt (* s (+ u (log 3/4)))> |
#<alt (* s (+ u (log 3/4)))> |
#<alt (* s (+ u (log 3/4)))> |
#<alt (* s (+ u (log 3/4)))> |
#<alt (* s (+ u (log 3/4)))> |
#<alt (* s (+ u (log 3/4)))> |
#<alt (* s (+ u (log 3/4)))> |
#<alt (* s (+ u (log 3/4)))> |
#<alt (log 3/4)> |
#<alt (+ u (log 3/4))> |
#<alt (+ u (log 3/4))> |
#<alt (+ u (log 3/4))> |
#<alt u> |
#<alt (* u (+ 1 (/ (log 3/4) u)))> |
#<alt (* u (+ 1 (/ (log 3/4) u)))> |
#<alt (* u (+ 1 (/ (log 3/4) u)))> |
#<alt u> |
#<alt (* -1 (* u (- (* -1 (/ (log 3/4) u)) 1)))> |
#<alt (* -1 (* u (- (* -1 (/ (log 3/4) u)) 1)))> |
#<alt (* -1 (* u (- (* -1 (/ (log 3/4) u)) 1)))> |
#<alt (* -3 (* s (log (- 4/3 (* 4/3 u)))))> |
#<alt (* -3 (* s (log (- 4/3 (* 4/3 u)))))> |
#<alt (* -3 (* s (log (- 4/3 (* 4/3 u)))))> |
#<alt (* -3 (* s (log (- 4/3 (* 4/3 u)))))> |
#<alt (* -3 (* s (log (- 4/3 (* 4/3 u)))))> |
#<alt (* -3 (* s (log (- 4/3 (* 4/3 u)))))> |
#<alt (* -3 (* s (log (- 4/3 (* 4/3 u)))))> |
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#<alt (* 3 s)> |
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#<alt -1/3> |
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#<alt -1/9> |
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#<alt (log 8/9)> |
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#<alt (+ (log 8/9) (* u (+ 1 (* u (- (* 7/3 u) 5/2)))))> |
#<alt (+ (log -16/9) (* -2 (log (/ 1 u))))> |
#<alt (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u)))> |
#<alt (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u))))> |
#<alt (- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u)))> |
#<alt (+ (log -16/9) (* -2 (log (/ -1 u))))> |
#<alt (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u)))> |
#<alt (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u))))> |
#<alt (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (+ (/ 7/24 (pow u 2)) (* 5/8 (/ 1 u)))) u))))> |
#<alt (* 3 (* s (log (+ 2/3 (* 4/3 u)))))> |
#<alt (* 3 (* s (log (+ 2/3 (* 4/3 u)))))> |
#<alt (* 3 (* s (log (+ 2/3 (* 4/3 u)))))> |
#<alt (* 3 (* s (log (+ 2/3 (* 4/3 u)))))> |
#<alt (* 3 (* s (log (+ 2/3 (* 4/3 u)))))> |
#<alt (* 3 (* s (log (+ 2/3 (* 4/3 u)))))> |
#<alt (* 3 (* s (log (+ 2/3 (* 4/3 u)))))> |
#<alt (* 3 (* s (log (+ 2/3 (* 4/3 u)))))> |
#<alt (* 3 (* s (log (+ 2/3 (* 4/3 u)))))> |
#<alt (* 3 (* s (log (+ 2/3 (* 4/3 u)))))> |
#<alt (* 3 (* s (log (+ 2/3 (* 4/3 u)))))> |
#<alt (* 3 (* s (log (+ 2/3 (* 4/3 u)))))> |
#<alt (* 3 (* s (log 2/3)))> |
#<alt (+ (* 3 (* s (log 2/3))) (* 6 (* s u)))> |
#<alt (+ (* 3 (* s (log 2/3))) (* u (+ (* -6 (* s u)) (* 6 s))))> |
#<alt (+ (* 3 (* s (log 2/3))) (* u (+ (* 6 s) (* u (+ (* -6 s) (* 8 (* s u)))))))> |
#<alt (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))> |
#<alt (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))))> |
#<alt (+ (* -3/8 (/ s (pow u 2))) (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))))> |
#<alt (+ (* -3/8 (/ s (pow u 2))) (+ (* 1/8 (/ s (pow u 3))) (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))))))> |
#<alt (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))> |
#<alt (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))))> |
#<alt (+ (* -1 (/ (+ (* -3/2 s) (* 3/8 (/ s u))) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))))> |
#<alt (+ (* -1 (/ (+ (* -3/2 s) (* -1 (/ (+ (* -3/8 s) (* 1/8 (/ s u))) u))) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | s | @ | 0 | (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) |
| 26.0ms | s | @ | 0 | (* (* 3 s) (- (log (+ 1 (+ (* u 4/3) -1/3))) (log (+ 1 (+ (* u (+ (* u -16/9) 8/9)) -1/9))))) |
| 2.0ms | s | @ | inf | (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) |
| 2.0ms | u | @ | 0 | (* 3 (* (+ u (log 3/4)) s)) |
| 1.0ms | s | @ | inf | (* (* 3 s) (- (log (+ 1 (+ (* u 4/3) -1/3))) (log (+ 1 (+ (* u (+ (* u -16/9) 8/9)) -1/9))))) |
| 1× | batch-egg-rewrite |
| 3 994× | lower-*.f64 |
| 3 974× | lower-*.f32 |
| 3 784× | lower-/.f64 |
| 3 784× | lower-/.f32 |
| 3 612× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 228 |
| 0 | 79 | 221 |
| 1 | 328 | 217 |
| 2 | 2481 | 215 |
| 0 | 8444 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) s (neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
(neg.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)) |
(*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) |
(*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
(*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s) |
(+.f32 u (log.f32 #s(literal 3/4 binary32))) |
(log.f32 #s(literal 3/4 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
(neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
(neg.f32 s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
(*.f32 #s(literal 3 binary32) s) |
(-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
(neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
(log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
(log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) |
(fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) |
(log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) |
| Outputs |
|---|
(+.f32 (*.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (*.f32 s #s(literal -3 binary32))) (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s))) |
(+.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s)) (*.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (*.f32 s #s(literal -3 binary32)))) |
(pow.f32 (/.f32 (fma.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s)) (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))))) (pow.f32 (*.f32 #s(literal 3 binary32) (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) #s(literal 2 binary32))) (fma.f32 #s(literal -27 binary32) (pow.f32 (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s)) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (*.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (*.f32 s #s(literal -3 binary32))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))))) (pow.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s)) #s(literal 2 binary32))) (fma.f32 #s(literal -27 binary32) (pow.f32 (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s)) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))))) (*.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))))) (*.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))))))) #s(literal -1 binary32)) |
(fma.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s) (*.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (*.f32 s #s(literal -3 binary32)))) |
(fma.f32 #s(literal 3 binary32) (neg.f32 (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s))) |
(fma.f32 #s(literal 3 binary32) (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) s) (*.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (*.f32 s #s(literal -3 binary32)))) |
(fma.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) s (*.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (*.f32 s #s(literal -3 binary32)))) |
(fma.f32 s (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) (*.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (*.f32 s #s(literal -3 binary32)))) |
(fma.f32 s (*.f32 #s(literal 3 binary32) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s))) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (*.f32 s #s(literal -3 binary32)))) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s))) |
(fma.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (*.f32 s #s(literal -3 binary32)) (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s))) |
(fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) #s(literal -1 binary32) (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s))) |
(fma.f32 (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 #s(literal 3 binary32) s) (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s))) |
(fma.f32 #s(literal -1 binary32) (*.f32 #s(literal 3 binary32) (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s))) |
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s))) |
(fma.f32 (neg.f32 (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) #s(literal 3 binary32) (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s))) |
(fma.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) s) #s(literal 3 binary32) (*.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (*.f32 s #s(literal -3 binary32)))) |
(fma.f32 #s(literal -3 binary32) (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s))) |
(fma.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) #s(literal -1 binary32)) (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s))) |
(fma.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) #s(literal 3 binary32)) s (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s))) |
(-.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 #s(literal 3 binary32) s)) (*.f32 #s(literal 3 binary32) (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
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| 1× | egg-herbie |
| 14 318× | lower-fma.f64 |
| 14 318× | lower-fma.f32 |
| 5 132× | lower-+.f64 |
| 5 132× | lower-+.f32 |
| 3 936× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 717 | 5855 |
| 1 | 2206 | 5447 |
| 2 | 6597 | 5406 |
| 0 | 8078 | 4966 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 3 (* s (log 2/3))) (* 3 (* s (log 8/9)))) |
(- (+ (* 3 (* s (log 2/3))) (* u (- (* 6 s) (* 3 s)))) (* 3 (* s (log 8/9)))) |
(- (+ (* 3 (* s (log 2/3))) (* u (- (+ (* 6 s) (* u (- (* -6 s) (* -15/2 s)))) (* 3 s)))) (* 3 (* s (log 8/9)))) |
(- (+ (* 3 (* s (log 2/3))) (* u (- (+ (* 6 s) (* u (- (+ (* -6 s) (* u (- (* 8 s) (* 7 s)))) (* -15/2 s)))) (* 3 s)))) (* 3 (* s (log 8/9)))) |
(- (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u))))))) |
(- (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))) (+ (* -3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))))) |
(- (+ (* -3/8 (/ s (pow u 2))) (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))))) (+ (* -15/8 (/ s (pow u 2))) (+ (* -3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u))))))))) |
(- (+ (* -3/8 (/ s (pow u 2))) (+ (* 1/8 (/ s (pow u 3))) (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))))) (+ (* -15/8 (/ s (pow u 2))) (+ (* -3/2 (/ s u)) (+ (* -7/8 (/ s (pow u 3))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))))))) |
(- (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(- (+ (* -1 (/ (- (* -3/2 s) (* 3/2 s)) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(- (+ (* -1 (/ (- (+ (* -3/2 s) (* -1 (/ (- (* -3/8 s) (* -15/8 s)) u))) (* 3/2 s)) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(- (+ (* -1 (/ (- (+ (* -3/2 s) (* -1 (/ (- (+ (* -1 (/ (- (* -1/8 s) (* 7/8 s)) u)) (* -3/8 s)) (* -15/8 s)) u))) (* 3/2 s)) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(* -1 (* s (- (* -3 (log (+ 2/3 (* 4/3 u)))) (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(* -1 (* s (- (* -3 (log (+ 2/3 (* 4/3 u)))) (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(* -1 (* s (- (* -3 (log (+ 2/3 (* 4/3 u)))) (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(* -1 (* s (- (* -3 (log (+ 2/3 (* 4/3 u)))) (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* -3 (* s (log 8/9))) |
(- (* -3 (* s u)) (* 3 (* s (log 8/9)))) |
(- (* u (- (* 15/2 (* s u)) (* 3 s))) (* 3 (* s (log 8/9)))) |
(- (* u (- (* u (- (* -7 (* s u)) (* -15/2 s))) (* 3 s))) (* 3 (* s (log 8/9)))) |
(* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) |
(- (* 3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u))))))) |
(- (* 15/8 (/ s (pow u 2))) (+ (* -3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))))) |
(- (* 7/8 (/ s (pow u 3))) (+ (* -15/8 (/ s (pow u 2))) (+ (* -3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u))))))))) |
(* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) |
(- (* 3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(- (* -1 (/ (- (* -15/8 (/ s u)) (* 3/2 s)) u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(- (* -1 (/ (- (* -1 (/ (- (* 7/8 (/ s u)) (* -15/8 s)) u)) (* 3/2 s)) u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
-1/9 |
(- (* 8/9 u) 1/9) |
(- (* u (+ 8/9 (* -16/9 u))) 1/9) |
(- (* u (+ 8/9 (* -16/9 u))) 1/9) |
(* -16/9 (pow u 2)) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9)) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2))))) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2))))) |
(* -16/9 (pow u 2)) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9)) |
(* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9)) |
(* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9)) |
(* 3 (log 2/3)) |
(+ (* 3 (log 2/3)) (* 6 u)) |
(+ (* 3 (log 2/3)) (* u (+ 6 (* -6 u)))) |
(+ (* 3 (log 2/3)) (* u (+ 6 (* u (- (* 8 u) 6))))) |
(* 3 (+ (log 4/3) (* -1 (log (/ 1 u))))) |
(+ (* 3 (+ (log 4/3) (* -1 (log (/ 1 u))))) (* 3/2 (/ 1 u))) |
(- (+ (* 3 (+ (log 4/3) (* -1 (log (/ 1 u))))) (* 3/2 (/ 1 u))) (/ 3/8 (pow u 2))) |
(- (+ (* 3 (+ (log 4/3) (* -1 (log (/ 1 u))))) (+ (* 3/2 (/ 1 u)) (* 1/8 (/ 1 (pow u 3))))) (/ 3/8 (pow u 2))) |
(* 3 (+ (log -4/3) (* -1 (log (/ -1 u))))) |
(+ (* 3 (+ (log -4/3) (* -1 (log (/ -1 u))))) (* 3/2 (/ 1 u))) |
(+ (* -1 (/ (- (* 3/8 (/ 1 u)) 3/2) u)) (* 3 (+ (log -4/3) (* -1 (log (/ -1 u)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 u)) 3/8) u)) 3/2) u)) (* 3 (+ (log -4/3) (* -1 (log (/ -1 u)))))) |
(* 3 (* s (log 3/4))) |
(+ (* 3 (* s u)) (* 3 (* s (log 3/4)))) |
(+ (* 3 (* s u)) (* 3 (* s (log 3/4)))) |
(+ (* 3 (* s u)) (* 3 (* s (log 3/4)))) |
(* 3 (* s u)) |
(* u (+ (* 3 s) (* 3 (/ (* s (log 3/4)) u)))) |
(* u (+ (* 3 s) (* 3 (/ (* s (log 3/4)) u)))) |
(* u (+ (* 3 s) (* 3 (/ (* s (log 3/4)) u)))) |
(* 3 (* s u)) |
(* -1 (* u (+ (* -3 s) (* -3 (/ (* s (log 3/4)) u))))) |
(* -1 (* u (+ (* -3 s) (* -3 (/ (* s (log 3/4)) u))))) |
(* -1 (* u (+ (* -3 s) (* -3 (/ (* s (log 3/4)) u))))) |
(* 3 (* s (+ u (log 3/4)))) |
(* 3 (* s (+ u (log 3/4)))) |
(* 3 (* s (+ u (log 3/4)))) |
(* 3 (* s (+ u (log 3/4)))) |
(* 3 (* s (+ u (log 3/4)))) |
(* 3 (* s (+ u (log 3/4)))) |
(* 3 (* s (+ u (log 3/4)))) |
(* 3 (* s (+ u (log 3/4)))) |
(* 3 (* s (+ u (log 3/4)))) |
(* 3 (* s (+ u (log 3/4)))) |
(* 3 (* s (+ u (log 3/4)))) |
(* 3 (* s (+ u (log 3/4)))) |
(* s (log 3/4)) |
(+ (* s u) (* s (log 3/4))) |
(+ (* s u) (* s (log 3/4))) |
(+ (* s u) (* s (log 3/4))) |
(* s u) |
(* u (+ s (/ (* s (log 3/4)) u))) |
(* u (+ s (/ (* s (log 3/4)) u))) |
(* u (+ s (/ (* s (log 3/4)) u))) |
(* s u) |
(* -1 (* u (+ (* -1 s) (* -1 (/ (* s (log 3/4)) u))))) |
(* -1 (* u (+ (* -1 s) (* -1 (/ (* s (log 3/4)) u))))) |
(* -1 (* u (+ (* -1 s) (* -1 (/ (* s (log 3/4)) u))))) |
(* s (+ u (log 3/4))) |
(* s (+ u (log 3/4))) |
(* s (+ u (log 3/4))) |
(* s (+ u (log 3/4))) |
(* s (+ u (log 3/4))) |
(* s (+ u (log 3/4))) |
(* s (+ u (log 3/4))) |
(* s (+ u (log 3/4))) |
(* s (+ u (log 3/4))) |
(* s (+ u (log 3/4))) |
(* s (+ u (log 3/4))) |
(* s (+ u (log 3/4))) |
(log 3/4) |
(+ u (log 3/4)) |
(+ u (log 3/4)) |
(+ u (log 3/4)) |
u |
(* u (+ 1 (/ (log 3/4) u))) |
(* u (+ 1 (/ (log 3/4) u))) |
(* u (+ 1 (/ (log 3/4) u))) |
u |
(* -1 (* u (- (* -1 (/ (log 3/4) u)) 1))) |
(* -1 (* u (- (* -1 (/ (log 3/4) u)) 1))) |
(* -1 (* u (- (* -1 (/ (log 3/4) u)) 1))) |
(* -3 (* s (log (- 4/3 (* 4/3 u))))) |
(* -3 (* s (log (- 4/3 (* 4/3 u))))) |
(* -3 (* s (log (- 4/3 (* 4/3 u))))) |
(* -3 (* s (log (- 4/3 (* 4/3 u))))) |
(* -3 (* s (log (- 4/3 (* 4/3 u))))) |
(* -3 (* s (log (- 4/3 (* 4/3 u))))) |
(* -3 (* s (log (- 4/3 (* 4/3 u))))) |
(* -3 (* s (log (- 4/3 (* 4/3 u))))) |
(* -3 (* s (log (- 4/3 (* 4/3 u))))) |
(* -3 (* s (log (- 4/3 (* 4/3 u))))) |
(* -3 (* s (log (- 4/3 (* 4/3 u))))) |
(* -3 (* s (log (- 4/3 (* 4/3 u))))) |
(* -3 (* s (log 4/3))) |
(+ (* -3 (* s (log 4/3))) (* 3 (* s u))) |
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) |
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))) |
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) |
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u))) |
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u)))) |
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3))))) |
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) |
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u))) |
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u))) |
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u))) |
1/3 |
(+ 1/3 (* -4/3 u)) |
(+ 1/3 (* -4/3 u)) |
(+ 1/3 (* -4/3 u)) |
(* -4/3 u) |
(* u (- (* 1/3 (/ 1 u)) 4/3)) |
(* u (- (* 1/3 (/ 1 u)) 4/3)) |
(* u (- (* 1/3 (/ 1 u)) 4/3)) |
(* -4/3 u) |
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u))))) |
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u))))) |
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u))))) |
(* -1 (* s (log (- 4/3 (* 4/3 u))))) |
(* -1 (* s (log (- 4/3 (* 4/3 u))))) |
(* -1 (* s (log (- 4/3 (* 4/3 u))))) |
(* -1 (* s (log (- 4/3 (* 4/3 u))))) |
(* -1 (* s (log (- 4/3 (* 4/3 u))))) |
(* -1 (* s (log (- 4/3 (* 4/3 u))))) |
(* -1 (* s (log (- 4/3 (* 4/3 u))))) |
(* -1 (* s (log (- 4/3 (* 4/3 u))))) |
(* -1 (* s (log (- 4/3 (* 4/3 u))))) |
(* -1 (* s (log (- 4/3 (* 4/3 u))))) |
(* -1 (* s (log (- 4/3 (* 4/3 u))))) |
(* -1 (* s (log (- 4/3 (* 4/3 u))))) |
(* -1 (* s (log 4/3))) |
(+ (* -1 (* s (log 4/3))) (* s u)) |
(+ (* -1 (* s (log 4/3))) (* u (+ s (* 1/2 (* s u))))) |
(+ (* -1 (* s (log 4/3))) (* u (+ s (* u (+ (* 1/3 (* s u)) (* 1/2 s)))))) |
(* -1 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) |
(+ (* -1 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (/ s u)) |
(+ (* -1 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 1/2 (/ s (pow u 2))) (/ s u))) |
(+ (* -1 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 1/3 (/ s (pow u 3))) (+ (* 1/2 (/ s (pow u 2))) (/ s u)))) |
(* -1 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) |
(+ (* -1 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (/ s u)) |
(+ (* -1 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -1 s) (* -1/2 (/ s u))) u))) |
(+ (* -1 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -1 s) (* -1 (/ (+ (* 1/3 (/ s u)) (* 1/2 s)) u))) u))) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 8/9 (* u (+ 8/9 (* -16/9 u)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 8/9 (* u (+ 8/9 (* -16/9 u)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 8/9 (* u (+ 8/9 (* -16/9 u)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 8/9 (* u (+ 8/9 (* -16/9 u)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 8/9 (* u (+ 8/9 (* -16/9 u)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 8/9 (* u (+ 8/9 (* -16/9 u)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 8/9 (* u (+ 8/9 (* -16/9 u)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 8/9 (* u (+ 8/9 (* -16/9 u)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 8/9 (* u (+ 8/9 (* -16/9 u)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 8/9 (* u (+ 8/9 (* -16/9 u)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 8/9 (* u (+ 8/9 (* -16/9 u)))))))) |
(* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 8/9 (* u (+ 8/9 (* -16/9 u)))))))) |
(* 3 (* s (- (log 2/3) (log 8/9)))) |
(+ (* 3 (* s u)) (* 3 (* s (- (log 2/3) (log 8/9))))) |
(+ (* 3 (* s (- (log 2/3) (log 8/9)))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) |
(+ (* 3 (* s (- (log 2/3) (log 8/9)))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))) |
(* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) |
(+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (* 3 (/ s u))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (* 3 (/ s u)))) |
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (+ (* 3 (/ s u)) (/ s (pow u 3))))) |
(* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(+ (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))) (* 3 (/ s u))) |
(+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))))) |
(+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u)))))))) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(* 3 s) |
(- (log 2/3) (log 8/9)) |
(- (+ u (log 2/3)) (log 8/9)) |
(- (+ (log 2/3) (* u (+ 1 (* 1/2 u)))) (log 8/9)) |
(- (+ (log 2/3) (* u (+ 1 (* u (+ 1/2 (* 1/3 u)))))) (log 8/9)) |
(- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (/ 1 u))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (+ (log -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (/ 1 u))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(log 2/3) |
(+ (log 2/3) (* 2 u)) |
(+ (log 2/3) (* u (+ 2 (* -2 u)))) |
(+ (log 2/3) (* u (+ 2 (* u (- (* 8/3 u) 2))))) |
(+ (log 4/3) (* -1 (log (/ 1 u)))) |
(+ (log 4/3) (+ (* -1 (log (/ 1 u))) (* 1/2 (/ 1 u)))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (* 1/2 (/ 1 u)))) (/ 1/8 (pow u 2))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (+ (* 1/2 (/ 1 u)) (* 1/24 (/ 1 (pow u 3)))))) (/ 1/8 (pow u 2))) |
(+ (log -4/3) (* -1 (log (/ -1 u)))) |
(+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* 1/2 (/ 1 u)))) |
(+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (- (* 1/8 (/ 1 u)) 1/2) u)))) |
(+ (log -4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 u)) 1/8) u)) 1/2) u)))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* s (+ (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))) (* 3 (log (+ 2/3 (* 4/3 u)))))) |
(* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(* -1 (* s (+ (* -3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
(+ (* -3 (* s (log 8/9))) (* 3 (* s (log 2/3)))) |
(+ (* -3 (* s (log 8/9))) (+ (* 3 (* s (log 2/3))) (* u (+ (* -3 s) (* 6 s))))) |
(+ (* -3 (* s (log 8/9))) (+ (* 3 (* s (log 2/3))) (* u (+ (* -3 s) (+ (* 6 s) (* u (+ (* -6 s) (* 15/2 s)))))))) |
(+ (* -3 (* s (log 8/9))) (+ (* 3 (* s (log 2/3))) (* u (+ (* -3 s) (+ (* 6 s) (* u (+ (* -6 s) (+ (* 15/2 s) (* u (+ (* -7 s) (* 8 s))))))))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* -3/8 (/ s (pow u 2))) (+ (* 15/8 (/ s (pow u 2))) (+ (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) (+ (* -3/8 (/ s (pow u 2))) (+ (* 1/8 (/ s (pow u 3))) (+ (* 7/8 (/ s (pow u 3))) (+ (* 15/8 (/ s (pow u 2))) (+ (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (+ (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* -3/8 s) (* 15/8 s)) u))) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))))) |
(+ (* -3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* -1 (/ (+ (* -7/8 s) (* -1/8 s)) u)) (+ (* -3/8 s) (* 15/8 s))) u))) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))))) |
(* -1 (log 8/9)) |
(- (* -1 u) (log 8/9)) |
(- (* u (- (* 5/2 u) 1)) (log 8/9)) |
(- (* u (- (* u (+ 5/2 (* -7/3 u))) 1)) (log 8/9)) |
(* -1 (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (* 1/2 (/ 1 u)) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (+ (/ 5/8 (pow u 2)) (* 1/2 (/ 1 u))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(- (+ (/ 5/8 (pow u 2)) (+ (* 1/2 (/ 1 u)) (* 7/24 (/ 1 (pow u 3))))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(* -1 (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(- (* 1/2 (/ 1 u)) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(- (+ (/ 5/8 (pow u 2)) (* 1/2 (/ 1 u))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(- (* -1 (/ (- (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) u)) 1/2) u)) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(log 8/9) |
(+ u (log 8/9)) |
(+ (log 8/9) (* u (+ 1 (* -5/2 u)))) |
(+ (log 8/9) (* u (+ 1 (* u (- (* 7/3 u) 5/2))))) |
(+ (log -16/9) (* -2 (log (/ 1 u)))) |
(- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (* -2 (log (/ -1 u)))) |
(- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (+ (/ 7/24 (pow u 2)) (* 5/8 (/ 1 u)))) u)))) |
(* 3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* 3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* 3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* 3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* 3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* 3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* 3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* 3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* 3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* 3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* 3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* 3 (* s (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))) |
(* 3 (* s (log 8/9))) |
(+ (* 3 (* s u)) (* 3 (* s (log 8/9)))) |
(+ (* 3 (* s (log 8/9))) (* u (+ (* -15/2 (* s u)) (* 3 s)))) |
(+ (* 3 (* s (log 8/9))) (* u (+ (* 3 s) (* u (+ (* -15/2 s) (* 7 (* s u))))))) |
(* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))) |
(+ (* -3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u))))))) |
(+ (* -15/8 (/ s (pow u 2))) (+ (* -3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))))) |
(+ (* -15/8 (/ s (pow u 2))) (+ (* -3/2 (/ s u)) (+ (* -7/8 (/ s (pow u 3))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u))))))))) |
(* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u)))))) |
(+ (* -3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(+ (* -1 (/ (+ (* 3/2 s) (* 15/8 (/ s u))) u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -15/8 s) (* -7/8 (/ s u))) u)) (* 3/2 s)) u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
-1/3 |
(- (* 4/3 u) 1/3) |
(- (* 4/3 u) 1/3) |
(- (* 4/3 u) 1/3) |
(* 4/3 u) |
(* u (- 4/3 (* 1/3 (/ 1 u)))) |
(* u (- 4/3 (* 1/3 (/ 1 u)))) |
(* u (- 4/3 (* 1/3 (/ 1 u)))) |
(* 4/3 u) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(log 4/3) |
(+ (log 4/3) (* -1 u)) |
(+ (log 4/3) (* u (- (* -1/2 u) 1))) |
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1))) |
(+ (log -4/3) (* -1 (log (/ 1 u)))) |
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u)) |
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))) |
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u)) |
(+ (log 4/3) (* -1 (log (/ -1 u)))) |
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u)) |
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))) |
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u)))) |
-1/9 |
(- (* 8/9 u) 1/9) |
(- (* u (+ 8/9 (* -16/9 u))) 1/9) |
(- (* u (+ 8/9 (* -16/9 u))) 1/9) |
(* -16/9 (pow u 2)) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9)) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2))))) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2))))) |
(* -16/9 (pow u 2)) |
(* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9)) |
(* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9)) |
(* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9)) |
(log 8/9) |
(+ u (log 8/9)) |
(+ (log 8/9) (* u (+ 1 (* -5/2 u)))) |
(+ (log 8/9) (* u (+ 1 (* u (- (* 7/3 u) 5/2))))) |
(+ (log -16/9) (* -2 (log (/ 1 u)))) |
(- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (* -2 (log (/ -1 u)))) |
(- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (+ (/ 7/24 (pow u 2)) (* 5/8 (/ 1 u)))) u)))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(* 3 (* s (log 2/3))) |
(+ (* 3 (* s (log 2/3))) (* 6 (* s u))) |
(+ (* 3 (* s (log 2/3))) (* u (+ (* -6 (* s u)) (* 6 s)))) |
(+ (* 3 (* s (log 2/3))) (* u (+ (* 6 s) (* u (+ (* -6 s) (* 8 (* s u))))))) |
(* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) |
(+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))) |
(+ (* -3/8 (/ s (pow u 2))) (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))))) |
(+ (* -3/8 (/ s (pow u 2))) (+ (* 1/8 (/ s (pow u 3))) (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))))) |
(* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))) |
(+ (* 3/2 (/ s u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) |
(+ (* -1 (/ (+ (* -3/2 s) (* 3/8 (/ s u))) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) |
(+ (* -1 (/ (+ (* -3/2 s) (* -1 (/ (+ (* -3/8 s) (* 1/8 (/ s u))) u))) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) |
| Outputs |
|---|
(- (* 3 (* s (log 2/3))) (* 3 (* s (log 8/9)))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log.f32 #s(literal 2/3 binary32)) (log.f32 #s(literal 8/9 binary32)))) |
(- (+ (* 3 (* s (log 2/3))) (* u (- (* 6 s) (* 3 s)))) (* 3 (* s (log 8/9)))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 (log.f32 #s(literal 2/3 binary32)) (-.f32 u (log.f32 #s(literal 8/9 binary32))))) |
(- (+ (* 3 (* s (log 2/3))) (* u (- (+ (* 6 s) (* u (- (* -6 s) (* -15/2 s)))) (* 3 s)))) (* 3 (* s (log 8/9)))) |
(fma.f32 u (*.f32 u (*.f32 s #s(literal 3/2 binary32))) (*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 (log.f32 #s(literal 2/3 binary32)) (-.f32 u (log.f32 #s(literal 8/9 binary32)))))) |
(- (+ (* 3 (* s (log 2/3))) (* u (- (+ (* 6 s) (* u (- (+ (* -6 s) (* u (- (* 8 s) (* 7 s)))) (* -15/2 s)))) (* 3 s)))) (* 3 (* s (log 8/9)))) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 (log.f32 #s(literal 2/3 binary32)) (-.f32 u (log.f32 #s(literal 8/9 binary32)))) (*.f32 (*.f32 u u) (*.f32 s (+.f32 #s(literal 3/2 binary32) u)))) |
(- (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 (log.f32 #s(literal 4/3 binary32)) (+.f32 (log.f32 u) (fma.f32 (log.f32 u) #s(literal -2 binary32) (neg.f32 (log.f32 #s(literal -16/9 binary32))))))) |
(- (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))) (+ (* -3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))))) |
(fma.f32 s (/.f32 #s(literal 3/2 binary32) u) (fma.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 (log.f32 #s(literal 4/3 binary32)) (+.f32 (log.f32 u) (fma.f32 (log.f32 u) #s(literal -2 binary32) (neg.f32 (log.f32 #s(literal -16/9 binary32)))))) (neg.f32 (*.f32 (/.f32 s u) #s(literal -3/2 binary32))))) |
(- (+ (* -3/8 (/ s (pow u 2))) (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))))) (+ (* -15/8 (/ s (pow u 2))) (+ (* -3/2 (/ s u)) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u))))))))) |
(-.f32 (+.f32 (fma.f32 #s(literal 3 binary32) (*.f32 s (+.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 u))) (/.f32 (*.f32 s #s(literal 3/2 binary32)) u)) (*.f32 #s(literal 3/2 binary32) (/.f32 s (*.f32 u u)))) (fma.f32 s (*.f32 #s(literal 3 binary32) (fma.f32 (neg.f32 (log.f32 u)) #s(literal -2 binary32) (log.f32 #s(literal -16/9 binary32)))) (*.f32 (/.f32 s u) #s(literal -3/2 binary32)))) |
(- (+ (* -3/8 (/ s (pow u 2))) (+ (* 1/8 (/ s (pow u 3))) (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))))) (+ (* -15/8 (/ s (pow u 2))) (+ (* -3/2 (/ s u)) (+ (* -7/8 (/ s (pow u 3))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ 1 u)))))))))) |
(-.f32 (+.f32 (fma.f32 #s(literal 3 binary32) (*.f32 s (+.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 u))) (fma.f32 #s(literal 1/8 binary32) (/.f32 s (*.f32 u (*.f32 u u))) (/.f32 (*.f32 s #s(literal 3/2 binary32)) u))) (*.f32 #s(literal 3/2 binary32) (/.f32 s (*.f32 u u)))) (fma.f32 s (*.f32 #s(literal 3 binary32) (fma.f32 (neg.f32 (log.f32 u)) #s(literal -2 binary32) (log.f32 #s(literal -16/9 binary32)))) (fma.f32 s (/.f32 #s(literal -7/8 binary32) (*.f32 u (*.f32 u u))) (*.f32 (/.f32 s u) #s(literal -3/2 binary32))))) |
(- (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (-.f32 (log.f32 #s(literal -4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u)))) (fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (log.f32 #s(literal -16/9 binary32))))) |
(- (+ (* -1 (/ (- (* -3/2 s) (* 3/2 s)) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(*.f32 #s(literal 3 binary32) (fma.f32 s (-.f32 (-.f32 (log.f32 #s(literal -4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u)))) (fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (log.f32 #s(literal -16/9 binary32)))) (/.f32 s u))) |
(- (+ (* -1 (/ (- (+ (* -3/2 s) (* -1 (/ (- (* -3/8 s) (* -15/8 s)) u))) (* 3/2 s)) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(fma.f32 #s(literal 3 binary32) (*.f32 s (-.f32 (-.f32 (log.f32 #s(literal -4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u)))) (fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (log.f32 #s(literal -16/9 binary32))))) (/.f32 (fma.f32 s #s(literal -3 binary32) (*.f32 (/.f32 s u) #s(literal -3/2 binary32))) (neg.f32 u))) |
(- (+ (* -1 (/ (- (+ (* -3/2 s) (* -1 (/ (- (+ (* -1 (/ (- (* -1/8 s) (* 7/8 s)) u)) (* -3/8 s)) (* -15/8 s)) u))) (* 3/2 s)) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) (* 3 (* s (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (-.f32 (log.f32 #s(literal -4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u)))) (fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (log.f32 #s(literal -16/9 binary32)))) (/.f32 (-.f32 (*.f32 s #s(literal -3 binary32)) (/.f32 (fma.f32 s #s(literal 3/2 binary32) (/.f32 s u)) u)) (neg.f32 u))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* s (- (* 3 (log (+ 2/3 (* 4/3 u)))) (* 3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))))) |
(* -1 (* s (- (* -3 (log (+ 2/3 (* 4/3 u)))) (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
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(* -1 (* s (- (* -3 (log (+ 2/3 (* 4/3 u)))) (* -3 (log (+ 1 (* (- 1/4 u) (- (* 16/9 u) 4/9)))))))) |
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(log 4/3) |
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(fma.f32 u (fma.f32 u #s(literal -5/2 binary32) #s(literal 1 binary32)) (log.f32 #s(literal 8/9 binary32))) |
(+ (log 8/9) (* u (+ 1 (* u (- (* 7/3 u) 5/2))))) |
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal 7/3 binary32) #s(literal -5/2 binary32)) #s(literal 1 binary32)) (log.f32 #s(literal 8/9 binary32))) |
(+ (log -16/9) (* -2 (log (/ 1 u)))) |
(fma.f32 (neg.f32 (log.f32 u)) #s(literal -2 binary32) (log.f32 #s(literal -16/9 binary32))) |
(- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u))) |
(+.f32 (log.f32 #s(literal -16/9 binary32)) (fma.f32 (neg.f32 (log.f32 u)) #s(literal -2 binary32) (/.f32 #s(literal -1/2 binary32) u))) |
(+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(fma.f32 (neg.f32 (log.f32 u)) #s(literal -2 binary32) (-.f32 (log.f32 #s(literal -16/9 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 5/8 binary32) u)) u))) |
(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u))) |
(+.f32 (fma.f32 (neg.f32 (log.f32 u)) #s(literal -2 binary32) (log.f32 #s(literal -16/9 binary32))) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 5/8 binary32) (/.f32 #s(literal 7/24 binary32) u)) u)) u)) |
(+ (log -16/9) (* -2 (log (/ -1 u)))) |
(fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (log.f32 #s(literal -16/9 binary32))) |
(- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u))) |
(+.f32 (log.f32 #s(literal -16/9 binary32)) (fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (/.f32 #s(literal -1/2 binary32) u))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (-.f32 (log.f32 #s(literal -16/9 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 5/8 binary32) u)) u))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (+ (/ 7/24 (pow u 2)) (* 5/8 (/ 1 u)))) u)))) |
(fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (-.f32 (log.f32 #s(literal -16/9 binary32)) (/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 5/8 binary32) u)) (/.f32 #s(literal 7/24 binary32) (*.f32 u u))) u))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) |
(* 3 (* s (log (+ 2/3 (* 4/3 u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) |
(* 3 (* s (log 2/3))) |
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 2/3 binary32)))) |
(+ (* 3 (* s (log 2/3))) (* 6 (* s u))) |
(fma.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 2/3 binary32))) (*.f32 s (*.f32 u #s(literal 6 binary32)))) |
(+ (* 3 (* s (log 2/3))) (* u (+ (* -6 (* s u)) (* 6 s)))) |
(fma.f32 u (fma.f32 s #s(literal 6 binary32) (*.f32 u (*.f32 s #s(literal -6 binary32)))) (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 2/3 binary32))))) |
(+ (* 3 (* s (log 2/3))) (* u (+ (* 6 s) (* u (+ (* -6 s) (* 8 (* s u))))))) |
(fma.f32 u (fma.f32 u (fma.f32 s #s(literal -6 binary32) (*.f32 s (*.f32 u #s(literal 8 binary32)))) (*.f32 s #s(literal 6 binary32))) (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 2/3 binary32))))) |
(* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 u))) |
(+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))) |
(fma.f32 #s(literal 3 binary32) (*.f32 s (+.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 u))) (/.f32 (*.f32 s #s(literal 3/2 binary32)) u)) |
(+ (* -3/8 (/ s (pow u 2))) (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u)))))))) |
(fma.f32 #s(literal 3 binary32) (*.f32 s (+.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 u))) (fma.f32 s (/.f32 #s(literal 3/2 binary32) u) (*.f32 #s(literal -3/8 binary32) (/.f32 s (*.f32 u u))))) |
(+ (* -3/8 (/ s (pow u 2))) (+ (* 1/8 (/ s (pow u 3))) (+ (* 3/2 (/ s u)) (* 3 (* s (+ (log 4/3) (* -1 (log (/ 1 u))))))))) |
(fma.f32 s (/.f32 #s(literal -3/8 binary32) (*.f32 u u)) (fma.f32 #s(literal 3 binary32) (*.f32 s (+.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 u))) (fma.f32 #s(literal 1/8 binary32) (/.f32 s (*.f32 u (*.f32 u u))) (/.f32 (*.f32 s #s(literal 3/2 binary32)) u)))) |
(* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u)))))) |
(*.f32 s (*.f32 #s(literal 3 binary32) (-.f32 (log.f32 #s(literal -4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u)))))) |
(+ (* 3/2 (/ s u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) |
(fma.f32 #s(literal 3 binary32) (*.f32 s (-.f32 (log.f32 #s(literal -4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u))))) (/.f32 (*.f32 s #s(literal 3/2 binary32)) u)) |
(+ (* -1 (/ (+ (* -3/2 s) (* 3/8 (/ s u))) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) |
(fma.f32 #s(literal 3 binary32) (*.f32 s (-.f32 (log.f32 #s(literal -4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u))))) (/.f32 (fma.f32 s #s(literal -3/2 binary32) (*.f32 (/.f32 s u) #s(literal 3/8 binary32))) (neg.f32 u))) |
(+ (* -1 (/ (+ (* -3/2 s) (* -1 (/ (+ (* -3/8 s) (* 1/8 (/ s u))) u))) u)) (* 3 (* s (+ (log -4/3) (* -1 (log (/ -1 u))))))) |
(fma.f32 #s(literal 3 binary32) (*.f32 s (-.f32 (log.f32 #s(literal -4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u))))) (/.f32 (-.f32 (*.f32 s #s(literal -3/2 binary32)) (/.f32 (fma.f32 (/.f32 s u) #s(literal 1/8 binary32) (*.f32 s #s(literal -3/8 binary32))) u)) (neg.f32 u))) |
Compiled 38 186 to 3 378 computations (91.2% saved)
33 alts after pruning (29 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 312 | 18 | 1 330 |
| Fresh | 9 | 11 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 2 | 4 |
| Total | 1 326 | 33 | 1 359 |
| Status | Accuracy | Program |
|---|---|---|
| 98.2% | (fma.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) s) #s(literal 3 binary32) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) | |
| 98.3% | (fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) s) #s(literal 3 binary32))) | |
| 97.1% | (fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log.f32 (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) | |
| 97.7% | (fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (*.f32 (fma.f32 u (*.f32 u #s(literal 16/9 binary32)) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal 1/3 binary32))))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) | |
| 92.6% | (*.f32 (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))))) (-.f32 (*.f32 s (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) (neg.f32 (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))))) | |
| 26.2% | (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) (*.f32 #s(literal 3 binary32) s)) | |
| 63.7% | (*.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) | |
| 97.8% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) #s(literal 3 binary32)) | |
| 97.0% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 64/27 binary32) #s(literal -1/27 binary32)) (neg.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) (-.f32 #s(literal 1/9 binary32) (*.f32 u #s(literal -4/9 binary32)))))))) #s(literal 3 binary32)) | |
| 96.4% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) #s(literal -1/9 binary32)) (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))) #s(literal 3 binary32)) | |
| 96.8% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal -1/3 binary32)))) #s(literal 3 binary32)) | |
| 96.7% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) #s(literal 3 binary32)) | |
| 96.8% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 64/27 binary32) #s(literal -1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 #s(literal 16/9 binary32) (*.f32 u u)) (*.f32 u #s(literal -4/9 binary32)))))))) #s(literal 3 binary32)) | |
| 95.9% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 16/9 binary32) (*.f32 u u))) (-.f32 #s(literal -1/3 binary32) (*.f32 u #s(literal 4/3 binary32))))))) #s(literal 3 binary32)) | |
| 96.7% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal 1/3 binary32))))))) #s(literal 3 binary32)) | |
| 95.9% | (*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal 8/9 binary32)))) #s(literal 3 binary32)) s) | |
| 96.0% | (*.f32 (*.f32 s (neg.f32 (-.f32 (log.f32 (neg.f32 (fma.f32 u (*.f32 u #s(literal 16/9 binary32)) #s(literal -16/9 binary32)))) (log.f32 (neg.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal -4/3 binary32))))))) #s(literal 3 binary32)) | |
| ✓ | 97.1% | (*.f32 (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) #s(literal 3 binary32)) |
| 95.6% | (*.f32 (*.f32 s (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) #s(literal 3 binary32)) | |
| 97.9% | (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) | |
| 97.1% | (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) | |
| 26.2% | (*.f32 (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) s) | |
| ✓ | 98.2% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
| 97.2% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal 8/9 binary32))))) | |
| 95.8% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))))) | |
| ✓ | 96.3% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))) |
| 95.5% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 4/3 binary32))))) | |
| 95.3% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))))) #s(literal 4096/729 binary32)))) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32))))) | |
| 97.9% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) | |
| 97.0% | (*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) | |
| 98.3% | (*.f32 #s(literal 3 binary32) (fma.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) s (neg.f32 (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))))) | |
| ✓ | 26.2% | (*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
| 30.0% | (*.f32 #s(literal 3 binary32) (*.f32 s u)) |
Compiled 2 506 to 886 computations (64.6% saved)
| Inputs |
|---|
(*.f32 #s(literal 3 binary32) (*.f32 s u)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
(*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) |
(*.f32 (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) s) |
(*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) (*.f32 #s(literal 3 binary32) s)) |
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal -1/3 binary32)))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))) |
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(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 64/27 binary32) #s(literal -1/27 binary32)) (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) (-.f32 #s(literal 1/9 binary32) (*.f32 u #s(literal -4/9 binary32)))))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 4/3 binary32)) #s(literal 1 binary32)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 256/81 binary32))))) (log1p.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) |
(/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (*.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32))) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)) #s(literal 4/3 binary32))) (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)) #s(literal 4/3 binary32))) (-.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)) #s(literal 4/3 binary32))) #s(literal 1 binary32)))))) |
(/.f32 (*.f32 (*.f32 (log.f32 (*.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) (*.f32 #s(literal 3 binary32) s)) (log.f32 (*.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 3 binary32))) (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 2 binary32)))) |
(/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 3 binary32)))) (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #s(literal 2 binary32))) |
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))))) (-.f32 (*.f32 s (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) (neg.f32 (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))))) |
| Outputs |
|---|
(fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) s) #s(literal 3 binary32))) |
9 calls:
| 28.0ms | (*.f32 #s(literal 3 binary32) s) |
| 26.0ms | u |
| 26.0ms | s |
| 25.0ms | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 25.0ms | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | s |
| 98.3% | 1 | u |
| 98.3% | 1 | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 98.3% | 1 | (*.f32 #s(literal 3 binary32) s) |
| 98.3% | 1 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 98.3% | 1 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 98.3% | 1 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 98.3% | 1 | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 98.3% | 1 | (-.f32 u #s(literal 1/4 binary32)) |
Compiled 71 to 58 computations (18.3% saved)
| Inputs |
|---|
(*.f32 #s(literal 3 binary32) (*.f32 s u)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
(*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) |
(*.f32 (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) s) |
(*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) (*.f32 #s(literal 3 binary32) s)) |
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal -1/3 binary32)))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
(*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal 8/9 binary32)))) #s(literal 3 binary32)) s) |
(*.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 s (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 s (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) #s(literal 3 binary32)) s) |
(*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) #s(literal 3 binary32)) s) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) #s(literal -1/9 binary32)) (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 16/9 binary32) (*.f32 u u))) (-.f32 #s(literal -1/3 binary32) (*.f32 u #s(literal 4/3 binary32))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal 1/3 binary32))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 64/27 binary32) #s(literal -1/27 binary32)) (neg.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) (-.f32 #s(literal 1/9 binary32) (*.f32 u #s(literal -4/9 binary32)))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 1 binary32)) (-.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)))))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 64/27 binary32) #s(literal -1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 #s(literal 16/9 binary32) (*.f32 u u)) (*.f32 u #s(literal -4/9 binary32)))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 256/81 binary32)))) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32))) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 4/3 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))))) #s(literal 4096/729 binary32)))) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal 8/9 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log.f32 (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log.f32 (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (+.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (+.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)))))) |
(*.f32 (*.f32 s (neg.f32 (-.f32 (log.f32 (neg.f32 (fma.f32 u (*.f32 u #s(literal 16/9 binary32)) #s(literal -16/9 binary32)))) (log.f32 (neg.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal -4/3 binary32))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (+.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) |
(*.f32 #s(literal 3 binary32) (fma.f32 s (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 s (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))))) |
(*.f32 #s(literal 3 binary32) (fma.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) s (neg.f32 (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))))) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)))) (*.f32 s #s(literal -3 binary32)))) |
(fma.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) s) #s(literal 3 binary32) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))))) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (*.f32 #s(literal 3 binary32) s) (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
| Outputs |
|---|
(*.f32 #s(literal 3 binary32) (fma.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) s (neg.f32 (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))))) |
9 calls:
| 44.0ms | (-.f32 u #s(literal 1/4 binary32)) |
| 31.0ms | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 28.0ms | s |
| 21.0ms | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 19.0ms | (*.f32 #s(literal 3 binary32) s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | s |
| 98.3% | 1 | u |
| 98.3% | 1 | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 98.3% | 1 | (*.f32 #s(literal 3 binary32) s) |
| 98.3% | 1 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 98.3% | 1 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 98.3% | 1 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 98.3% | 1 | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 98.3% | 1 | (-.f32 u #s(literal 1/4 binary32)) |
Compiled 71 to 58 computations (18.3% saved)
| Inputs |
|---|
(*.f32 #s(literal 3 binary32) (*.f32 s u)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
(*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) |
(*.f32 (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) s) |
(*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) (*.f32 #s(literal 3 binary32) s)) |
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal -1/3 binary32)))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
(*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal 8/9 binary32)))) #s(literal 3 binary32)) s) |
(*.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 s (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 s (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) #s(literal 3 binary32)) s) |
(*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) #s(literal 3 binary32)) s) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) #s(literal -1/9 binary32)) (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 16/9 binary32) (*.f32 u u))) (-.f32 #s(literal -1/3 binary32) (*.f32 u #s(literal 4/3 binary32))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal 1/3 binary32))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 64/27 binary32) #s(literal -1/27 binary32)) (neg.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) (-.f32 #s(literal 1/9 binary32) (*.f32 u #s(literal -4/9 binary32)))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 1 binary32)) (-.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)))))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 64/27 binary32) #s(literal -1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 #s(literal 16/9 binary32) (*.f32 u u)) (*.f32 u #s(literal -4/9 binary32)))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 256/81 binary32)))) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32))) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 4/3 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))))) #s(literal 4096/729 binary32)))) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal 8/9 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log.f32 (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log.f32 (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (+.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (+.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)))))) |
(*.f32 (*.f32 s (neg.f32 (-.f32 (log.f32 (neg.f32 (fma.f32 u (*.f32 u #s(literal 16/9 binary32)) #s(literal -16/9 binary32)))) (log.f32 (neg.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal -4/3 binary32))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (+.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) |
(*.f32 #s(literal 3 binary32) (fma.f32 s (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 s (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))))) |
| Outputs |
|---|
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
9 calls:
| 85.0ms | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 19.0ms | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 19.0ms | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 16.0ms | s |
| 15.0ms | (*.f32 #s(literal 3 binary32) s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | s |
| 98.2% | 1 | u |
| 98.2% | 1 | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 98.2% | 1 | (*.f32 #s(literal 3 binary32) s) |
| 98.2% | 1 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 98.2% | 1 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 98.2% | 1 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 98.2% | 1 | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 98.2% | 1 | (-.f32 u #s(literal 1/4 binary32)) |
Compiled 71 to 58 computations (18.3% saved)
| Inputs |
|---|
(*.f32 #s(literal 3 binary32) (*.f32 s u)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
(*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) |
(*.f32 (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) s) |
(*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) (*.f32 #s(literal 3 binary32) s)) |
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal -1/3 binary32)))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
(*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal 8/9 binary32)))) #s(literal 3 binary32)) s) |
(*.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 s (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 s (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) #s(literal 3 binary32)) s) |
(*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) #s(literal 3 binary32)) s) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) #s(literal -1/9 binary32)) (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 16/9 binary32) (*.f32 u u))) (-.f32 #s(literal -1/3 binary32) (*.f32 u #s(literal 4/3 binary32))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal 1/3 binary32))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 64/27 binary32) #s(literal -1/27 binary32)) (neg.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) (-.f32 #s(literal 1/9 binary32) (*.f32 u #s(literal -4/9 binary32)))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 1 binary32)) (-.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)))))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 64/27 binary32) #s(literal -1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 #s(literal 16/9 binary32) (*.f32 u u)) (*.f32 u #s(literal -4/9 binary32)))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 256/81 binary32)))) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32))) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 4/3 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))))) #s(literal 4096/729 binary32)))) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal 8/9 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
| Outputs |
|---|
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
9 calls:
| 40.0ms | u |
| 39.0ms | (*.f32 #s(literal 3 binary32) s) |
| 15.0ms | (-.f32 u #s(literal 1/4 binary32)) |
| 13.0ms | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 13.0ms | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | s |
| 98.2% | 1 | u |
| 98.2% | 1 | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 98.2% | 1 | (*.f32 #s(literal 3 binary32) s) |
| 98.2% | 1 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 98.2% | 1 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 98.2% | 1 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 98.2% | 1 | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 98.2% | 1 | (-.f32 u #s(literal 1/4 binary32)) |
Compiled 71 to 58 computations (18.3% saved)
| Inputs |
|---|
(*.f32 #s(literal 3 binary32) (*.f32 s u)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
(*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) |
(*.f32 (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) s) |
(*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) (*.f32 #s(literal 3 binary32) s)) |
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 s (neg.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal -1/3 binary32)))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
(*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal 8/9 binary32)))) #s(literal 3 binary32)) s) |
(*.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 s (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 s (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) #s(literal 3 binary32)) s) |
(*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32)))) #s(literal 3 binary32)) s) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) #s(literal -1/9 binary32)) (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 16/9 binary32) (*.f32 u u))) (-.f32 #s(literal -1/3 binary32) (*.f32 u #s(literal 4/3 binary32))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal 1/3 binary32))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 64/27 binary32) #s(literal -1/27 binary32)) (neg.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) (-.f32 #s(literal 1/9 binary32) (*.f32 u #s(literal -4/9 binary32)))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 1 binary32)) (-.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)))))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 64/27 binary32) #s(literal -1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 #s(literal 16/9 binary32) (*.f32 u u)) (*.f32 u #s(literal -4/9 binary32)))))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1/3 binary32) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal -64/27 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 256/81 binary32)))) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32))) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (-.f32 (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #s(literal 4/3 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32))))) #s(literal 4096/729 binary32)))) (fma.f32 (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) #s(literal 64/27 binary32) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal 8/9 binary32))))) |
| Outputs |
|---|
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) |
9 calls:
| 14.0ms | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 13.0ms | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 13.0ms | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 13.0ms | u |
| 13.0ms | (-.f32 u #s(literal 1/4 binary32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | u |
| 97.9% | 1 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 97.9% | 1 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 97.9% | 1 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 97.9% | 1 | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 97.9% | 1 | (-.f32 u #s(literal 1/4 binary32)) |
| 97.9% | 1 | s |
| 97.9% | 1 | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 97.9% | 1 | (*.f32 #s(literal 3 binary32) s) |
Compiled 71 to 58 computations (18.3% saved)
| Inputs |
|---|
(*.f32 #s(literal 3 binary32) (*.f32 s u)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
(*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) |
(*.f32 (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) s) |
(*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) (*.f32 #s(literal 3 binary32) s)) |
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
| Outputs |
|---|
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
9 calls:
| 6.0ms | u |
| 5.0ms | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 4.0ms | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 4.0ms | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 4.0ms | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | s |
| 97.9% | 1 | u |
| 97.9% | 1 | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 97.9% | 1 | (*.f32 #s(literal 3 binary32) s) |
| 97.9% | 1 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 97.9% | 1 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 97.9% | 1 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 97.9% | 1 | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 97.9% | 1 | (-.f32 u #s(literal 1/4 binary32)) |
Compiled 71 to 58 computations (18.3% saved)
| Inputs |
|---|
(*.f32 #s(literal 3 binary32) (*.f32 s u)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
(*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) |
(*.f32 (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) s) |
(*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) (*.f32 #s(literal 3 binary32) s)) |
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) |
| Outputs |
|---|
(*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) |
9 calls:
| 87.0ms | u |
| 4.0ms | s |
| 4.0ms | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 3.0ms | (*.f32 #s(literal 3 binary32) s) |
| 3.0ms | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | u |
| 97.1% | 1 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 97.1% | 1 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 97.1% | 1 | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 97.1% | 1 | (-.f32 u #s(literal 1/4 binary32)) |
| 97.1% | 1 | s |
| 97.1% | 1 | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 97.1% | 1 | (*.f32 #s(literal 3 binary32) s) |
| 97.1% | 1 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
Compiled 71 to 58 computations (18.3% saved)
| Inputs |
|---|
(*.f32 #s(literal 3 binary32) (*.f32 s u)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
(*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) |
(*.f32 (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) s) |
(*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) (*.f32 #s(literal 3 binary32) s)) |
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
| Outputs |
|---|
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
9 calls:
| 7.0ms | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 3.0ms | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 3.0ms | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 3.0ms | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 3.0ms | (*.f32 #s(literal 3 binary32) s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | u |
| 97.0% | 1 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 97.0% | 1 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 97.0% | 1 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 97.0% | 1 | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 97.0% | 1 | (-.f32 u #s(literal 1/4 binary32)) |
| 97.0% | 1 | s |
| 97.0% | 1 | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 97.0% | 1 | (*.f32 #s(literal 3 binary32) s) |
Compiled 71 to 58 computations (18.3% saved)
Total -7.2b remaining (-32%)
Threshold costs -7.2b (-32%)
| Inputs |
|---|
(*.f32 #s(literal 3 binary32) (*.f32 s u)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32))) |
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)) |
(*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) |
(*.f32 (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) s) |
(*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) (*.f32 #s(literal 3 binary32) s)) |
| Outputs |
|---|
(*.f32 #s(literal 3 binary32) (*.f32 s u)) |
9 calls:
| 5.0ms | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 3.0ms | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
| 3.0ms | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 3.0ms | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 3.0ms | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.0% | 1 | s |
| 30.0% | 1 | u |
| 30.0% | 1 | (*.f32 #s(literal 3 binary32) s) |
| 30.0% | 1 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))) |
| 30.0% | 1 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 30.0% | 1 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 30.0% | 1 | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 30.0% | 1 | (-.f32 u #s(literal 1/4 binary32)) |
| 30.0% | 1 | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))) |
Compiled 71 to 58 computations (18.3% saved)
| 1× | egg-herbie |
| 50× | *-commutative_binary32 |
| 20× | sub-neg_binary32 |
| 20× | +-commutative_binary32 |
| 14× | neg-sub0_binary32 |
| 14× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 123 |
| 1 | 89 | 123 |
| 2 | 109 | 123 |
| 3 | 120 | 123 |
| 4 | 124 | 123 |
| 1× | saturated |
| Inputs |
|---|
(fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) s) #s(literal 3 binary32))) |
(*.f32 #s(literal 3 binary32) (fma.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) s (neg.f32 (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) |
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 #s(literal 3 binary32) (*.f32 s u)) |
| Outputs |
|---|
(fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) s) #s(literal 3 binary32))) |
(fma.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 #s(literal 3 binary32) (*.f32 s (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))))) |
(*.f32 #s(literal 3 binary32) (fma.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) s (neg.f32 (*.f32 s (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))))) |
(*.f32 #s(literal 3 binary32) (fma.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) s (*.f32 (log1p.f32 (*.f32 (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))) (neg.f32 s)))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) (-.f32 #s(literal 1/4 binary32) u))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) |
(*.f32 s (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)))) |
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
(*.f32 #s(literal 3 binary32) (*.f32 s u)) |
| 14 318× | lower-fma.f64 |
| 14 318× | lower-fma.f32 |
| 12 352× | lower-fma.f64 |
| 12 352× | lower-fma.f32 |
| 11 430× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 0 | 20 | 41 |
| 1 | 82 | 41 |
| 2 | 500 | 40 |
| 3 | 6829 | 40 |
| 0 | 8791 | 34 |
| 0 | 40 | 228 |
| 0 | 79 | 221 |
| 1 | 328 | 217 |
| 2 | 2481 | 215 |
| 0 | 8444 | 212 |
| 0 | 38 | 212 |
| 0 | 72 | 171 |
| 1 | 279 | 171 |
| 2 | 1925 | 171 |
| 0 | 9039 | 169 |
| 0 | 147 | 703 |
| 1 | 405 | 679 |
| 2 | 1026 | 630 |
| 3 | 2812 | 624 |
| 4 | 5961 | 616 |
| 0 | 8150 | 574 |
| 0 | 525 | 4032 |
| 1 | 1548 | 3832 |
| 2 | 4422 | 3596 |
| 0 | 8305 | 3284 |
| 0 | 447 | 3842 |
| 1 | 1228 | 3726 |
| 2 | 3364 | 3541 |
| 0 | 8125 | 3234 |
| 0 | 717 | 5855 |
| 1 | 2206 | 5447 |
| 2 | 6597 | 5406 |
| 0 | 8078 | 4966 |
| 0 | 40 | 240 |
| 0 | 73 | 212 |
| 1 | 303 | 212 |
| 2 | 2634 | 212 |
| 0 | 8506 | 197 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 341 to 219 computations (35.8% saved)
(negabs s)
Compiled 532 to 324 computations (39.1% saved)
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