
Time bar (total: 10.4s)
| 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)
| 815.0ms | 8 256× | 0 | valid |
ival-mult: 133.0ms (22% of total)ival-<=: 121.0ms (20% of total)ival-sub: 109.0ms (18% of total)ival-div: 107.0ms (17.7% of total)ival-log: 89.0ms (14.7% of total)exact: 22.0ms (3.6% of total)ival-and: 21.0ms (3.5% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 6 | 1 | (1.0861423334063147e-6 0.2561122477054596) | 2 | (1.659452852909027e-10 0.2581011950969696) | (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 | 6 |
-.f32 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) | cancellation | 1 | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 4 | 3 |
| - | 2 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 4 | 3 | 0 |
| - | 2 | 6 | 241 |
| number | freq |
|---|---|
| 0 | 250 |
| 1 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 46.0ms | 512× | 0 | valid |
Compiled 134 to 43 computations (67.9% saved)
ival-div: 7.0ms (28.8% of total)ival-mult: 6.0ms (24.7% of total)ival-sub: 5.0ms (20.5% of total)ival-log: 5.0ms (20.5% of total)ival-true: 1.0ms (4.1% of total)exact: 1.0ms (4.1% of total)ival-assert: 0.0ms (0% 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)
Compiled 16 to 13 computations (18.8% saved)
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 | 0.1953125 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) | |
| accuracy | 0.3209762695368841 | (*.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 | 0.44896890530870726 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) | |
| accuracy | 0.9418430889443205 | (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))))) |
| 58.0ms | 256× | 0 | valid |
Compiled 59 to 15 computations (74.6% saved)
ival-div: 29.0ms (76.5% of total)ival-log: 3.0ms (7.9% of total)ival-mult: 3.0ms (7.9% of total)ival-sub: 2.0ms (5.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) (patch (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) #<representation binary32>) () ()) |
#s(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))))) (patch (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))))) #<representation binary32>) () ()) |
#s(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)))))) (patch (*.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)))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 3 binary32) s) (patch (*.f32 #s(literal 3 binary32) s) #<representation 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)))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt 4/3 (taylor 0 u) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) (patch (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 4/3 (* -4/3 u)) (taylor 0 u) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) (patch (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 4/3 (* -4/3 u)) (taylor 0 u) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) (patch (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 4/3 (* -4/3 u)) (taylor 0 u) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) (patch (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -4/3 u) (taylor inf u) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) (patch (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* u (- (* 4/3 (/ 1 u)) 4/3)) (taylor inf u) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) (patch (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* u (- (* 4/3 (/ 1 u)) 4/3)) (taylor inf u) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) (patch (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* u (- (* 4/3 (/ 1 u)) 4/3)) (taylor inf u) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) (patch (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -4/3 u) (taylor -inf u) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) (patch (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) (taylor -inf u) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) (patch (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) (taylor -inf u) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) (patch (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u))))) (taylor -inf u) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) (patch (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (log 3/4) (taylor 0 u) (#s(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))))) (patch (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))))) #<representation binary32>) () ())) ()) |
#s(alt (+ u (log 3/4)) (taylor 0 u) (#s(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))))) (patch (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))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log 3/4) (* u (+ 1 (* 1/2 u)))) (taylor 0 u) (#s(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))))) (patch (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))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u)))))) (taylor 0 u) (#s(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))))) (patch (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))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -3/4) (log (/ 1 u))) (taylor inf u) (#s(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))))) (patch (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))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u))) (taylor inf u) (#s(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))))) (patch (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))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (taylor inf u) (#s(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))))) (patch (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))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))))) (taylor inf u) (#s(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))))) (patch (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))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log 3/4) (log (/ -1 u))) (taylor -inf u) (#s(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))))) (patch (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))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u))) (taylor -inf u) (#s(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))))) (patch (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))))) #<representation binary32>) () ())) ()) |
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#s(alt (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) (taylor -inf u) (#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)))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (+ 3/4 (+ (/ 3/4 (pow u 2)) (* 3/4 (/ 1 u)))) u)) (taylor -inf u) (#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)))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u))) u)) (taylor -inf u) (#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)))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) #<representation binary32>) () ())) ()) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 118.0ms | 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 | (- 1 (/ (- u 1/4) 3/4)) |
| 0.0ms | u | @ | -inf | (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) |
| 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 (/.f32 #s(literal 1/2 binary32) (*.f32 u u)) (/.f32 #s(literal 1/3 binary32) (*.f32 u (*.f32 u u)))) (log.f32 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) |
| 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))))) |
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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))) |
Compiled 9 086 to 1 167 computations (87.2% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 299 | 22 | 321 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 299 | 23 | 322 |
| Status | Accuracy | Program |
|---|---|---|
| 97.8% | (/.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))) | |
| 97.7% | (/.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))))) | |
| ▶ | 98.0% | (*.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)) |
| ▶ | 98.3% | (*.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))))))) |
| ▶ | 95.7% | (*.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)))))) |
| 98.2% | (*.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))))) | |
| 96.0% | (*.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)))))) | |
| 95.3% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log.f32 (*.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 (*.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)))) (log1p.f32 (*.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)))))) | |
| 95.4% | (*.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))))))) | |
| 96.0% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (fma.f32 (/.f32 #s(literal 1 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 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 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))))))) | |
| ▶ | 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))))) |
| 95.3% | (*.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))))) | |
| 95.9% | (*.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))))) | |
| ✓ | 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)))))) |
| 96.0% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ (- u 1/4) 3/4)) (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 (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)))))) | |
| 95.4% | (*.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 (-.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 (/.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))))) | |
| ▶ | 7.3% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
| 25.8% | (*.f32 (*.f32 #s(literal 3 binary32) s) #s(approx (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) | |
| 98.1% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) | |
| 98.1% | #s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32))))) | |
| 25.8% | #s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s))) |
Compiled 1 168 to 733 computations (37.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 96 | (*.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 | 0 | (*.f32 #s(literal 3 binary32) s) | |
| cost-diff | 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))))) | |
| cost-diff | 64 | (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)) | |
| cost-diff | 96 | (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)) | |
| 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 | #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)) | |
| cost-diff | 0 | (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #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(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #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))) |
| 21 818× | lower-fma.f64 |
| 21 806× | lower-fma.f32 |
| 4 568× | lower-*.f64 |
| 4 544× | lower-*.f32 |
| 3 422× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 473 |
| 0 | 87 | 443 |
| 1 | 180 | 438 |
| 2 | 473 | 437 |
| 3 | 1574 | 431 |
| 4 | 4367 | 427 |
| 0 | 8182 | 399 |
| 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(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32))) |
#s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)) |
#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)) |
(*.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) (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 #s(literal 3 binary32) s) |
#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 (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))) |
(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 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
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 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 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) |
(+.f32 u #s(literal -1/4 binary32)) |
#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 #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 #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 (-.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(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
(*.f32 #s(literal 3 binary32) s) |
#s(literal 3 binary32) |
s |
(log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32))) |
#s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)) |
#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)) |
(*.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) (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 (fma.f32 u (+.f32 #s(literal 8/9 binary32) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32))) #s(literal 7/9 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal -64/27 binary32) #s(literal 16/27 binary32))) #s(literal 1 binary32))))) |
(*.f32 #s(literal 3 binary32) s) |
#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)))) |
(log.f32 (/.f32 (fma.f32 u (+.f32 #s(literal 8/9 binary32) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32))) #s(literal 7/9 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal -64/27 binary32) #s(literal 16/27 binary32))) #s(literal 1 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)) (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 (+.f32 #s(literal 8/9 binary32) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32))) #s(literal 7/9 binary32)) (fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal -64/27 binary32) #s(literal 16/27 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)) |
(fma.f32 u (+.f32 #s(literal 8/9 binary32) (fma.f32 u #s(literal 16/9 binary32) #s(literal -4/9 binary32))) #s(literal 7/9 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) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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)) |
(fma.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 (-.f32 #s(literal 1/4 binary32) u) (fma.f32 u #s(literal -64/27 binary32) #s(literal 16/27 binary32))) #s(literal 1 binary32)) |
(*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (+.f32 u #s(literal -1/4 binary32)))) |
(+.f32 u #s(literal -1/4 binary32)) |
#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 #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) (*.f32 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)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 u #s(literal -64/27 binary32) #s(literal 16/27 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)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 u #s(literal -64/27 binary32) #s(literal 16/27 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)))) |
(log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 u #s(literal -64/27 binary32) #s(literal 16/27 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 (-.f32 #s(literal 1 binary32) u) (fma.f32 (+.f32 u #s(literal -1/4 binary32)) (fma.f32 u #s(literal -64/27 binary32) #s(literal 16/27 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 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.35546875 | (*.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 | 0.38509750976844204 | (-.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 | 0.5717114029386245 | (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) | |
| accuracy | 0.84888612603066 | (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 | 0.3203125 | (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) | |
| accuracy | 0.3209762695368841 | (*.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))))) | |
| accuracy | 0.328125 | (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) | |
| accuracy | 0.9418430889443205 | (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)))) | |
| accuracy | 0.25 | (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) | |
| accuracy | 0.328125 | (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) | |
| accuracy | 0.33203125 | (*.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 | 0.33939129109026733 | (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) | |
| accuracy | 0 | (*.f32 #s(literal 3 binary32) s) | |
| accuracy | 0.3209762695368841 | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) | |
| accuracy | 0.9418430889443205 | (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32))) | |
| accuracy | 23.26112848819482 | #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)) | |
| accuracy | 0.26953125 | (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) | |
| accuracy | 0.3209762695368841 | (*.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 | 0.328125 | (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) | |
| accuracy | 0.3522262695368841 | (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) |
| 178.0ms | 256× | 0 | valid |
Compiled 530 to 54 computations (89.8% saved)
ival-mult: 45.0ms (29.1% of total)const: 43.0ms (27.8% of total)ival-add: 38.0ms (24.6% of total)ival-log1p: 8.0ms (5.2% of total)ival-log: 7.0ms (4.5% of total)ival-sub: 6.0ms (3.9% of total)ival-div: 5.0ms (3.2% of total)ival-neg: 2.0ms (1.3% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ()) |
#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 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) (patch (*.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))))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 3 binary32) s) (patch (*.f32 #s(literal 3 binary32) s) #<representation 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)))))) (patch (-.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)))))) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) (patch (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #<representation binary32>) () ()) |
#s(alt (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32))) (patch (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)) (patch #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)) #<representation binary32>) () ()) |
#s(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)) (patch (*.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)) #<representation binary32>) () ()) |
#s(alt (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (patch (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) (patch (*.f32 (neg.f32 s) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #<representation binary32>) () ()) |
#s(alt (neg.f32 s) (patch (neg.f32 s) #<representation binary32>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary32>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary32>) () ()) |
#s(alt (*.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))))) (patch (*.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))))) #<representation binary32>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary32>) () ()) |
#s(alt (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) (patch (fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(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)))))) (patch (*.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)))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) (patch (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) #<representation binary32>) () ()) |
#s(alt (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (patch (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (patch (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) (patch (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #<representation binary32>) () ()) |
#s(alt (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)))) (patch (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)))) #<representation binary32>) () ()) |
#s(alt (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (patch (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) #<representation binary32>) () ()) |
#s(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)))) (patch (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)))) #<representation binary32>) () ()) |
#s(alt (-.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))))) (patch (-.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))))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt -4/9 (taylor 0 u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (- (* 16/9 u) 4/9) (taylor 0 u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (- (* 16/9 u) 4/9) (taylor 0 u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (- (* 16/9 u) 4/9) (taylor 0 u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* 16/9 u) (taylor inf u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* u (- 16/9 (* 4/9 (/ 1 u)))) (taylor inf u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* u (- 16/9 (* 4/9 (/ 1 u)))) (taylor inf u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* u (- 16/9 (* 4/9 (/ 1 u)))) (taylor inf u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* 16/9 u) (taylor -inf u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) (taylor -inf u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) (taylor -inf u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) (taylor -inf u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) (taylor 0 s) (#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 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) (patch (*.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))))))) #<representation binary32>) () ())) ()) |
#s(alt (* 3 (* s (- (log (+ 2/3 (* 4/3 u))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) (taylor 0 s) (#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 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) (patch (*.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))))))) #<representation binary32>) () ())) ()) |
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#s(alt (- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log 64/27) (* -3 (log (/ 1 u))))) (taylor inf u) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))))) (+ (log 64/27) (* -3 (log (/ 1 u))))) (taylor inf u) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (+ (log -64/27) (* -3 (log (/ -1 u))))) (taylor -inf u) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (/ 1 u))) (+ (log -64/27) (* -3 (log (/ -1 u))))) (taylor -inf u) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -64/27) (* -3 (log (/ -1 u))))) (taylor -inf u) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)))) (+ (log -64/27) (* -3 (log (/ -1 u))))) (taylor -inf u) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary32>) () ())) ()) |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 126.0ms | s | @ | 0 | (* (* 3 s) (- (log (+ 1 (+ (* u 4/3) -1/3))) (log (+ 1 (* (- 1/4 u) (* 16/9 (+ u -1/4))))))) |
| 55.0ms | u | @ | -inf | (* (- 1/4 u) (* 16/9 (+ u -1/4))) |
| 42.0ms | 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))))) |
| 33.0ms | s | @ | 0 | (* (* 3 s) (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1)))) |
| 27.0ms | s | @ | 0 | (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) |
| 1× | egg-herbie |
| 10 412× | lower-fma.f64 |
| 10 412× | lower-fma.f32 |
| 6 110× | lower-+.f64 |
| 6 110× | lower-+.f32 |
| 5 032× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 586 | 5089 |
| 1 | 1688 | 4904 |
| 2 | 4931 | 4877 |
| 0 | 8119 | 4435 |
| 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 (/ 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)))))) |
(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)))) |
3/4 |
(+ 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 (* 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) |
7/9 |
(+ 7/9 (* 4/9 u)) |
(+ 7/9 (* u (+ 4/9 (* 16/9 u)))) |
(+ 7/9 (* u (+ 4/9 (* 16/9 u)))) |
(* 16/9 (pow u 2)) |
(* (pow u 2) (+ 16/9 (* 4/9 (/ 1 u)))) |
(* (pow u 2) (+ 16/9 (+ (/ 7/9 (pow u 2)) (* 4/9 (/ 1 u))))) |
(* (pow u 2) (+ 16/9 (+ (/ 7/9 (pow u 2)) (* 4/9 (/ 1 u))))) |
(* 16/9 (pow u 2)) |
(* (pow u 2) (+ 16/9 (* 4/9 (/ 1 u)))) |
(* (pow u 2) (+ 16/9 (+ (/ 7/9 (pow u 2)) (* 4/9 (/ 1 u))))) |
(* (pow u 2) (+ 16/9 (+ (/ 7/9 (pow u 2)) (* 4/9 (/ 1 u))))) |
28/27 |
(+ 28/27 (* -4/9 u)) |
(+ 28/27 (* u (- (* 16/9 u) 4/9))) |
(+ 28/27 (* u (- (* u (+ 16/9 (* -64/27 u))) 4/9))) |
(* -64/27 (pow u 3)) |
(* (pow u 3) (- (* 16/9 (/ 1 u)) 64/27)) |
(* (pow u 3) (- (* 16/9 (/ 1 u)) (+ 64/27 (/ 4/9 (pow u 2))))) |
(* (pow u 3) (- (+ (* 16/9 (/ 1 u)) (* 28/27 (/ 1 (pow u 3)))) (+ 64/27 (/ 4/9 (pow u 2))))) |
(* -64/27 (pow u 3)) |
(* -1 (* (pow u 3) (- 64/27 (* 16/9 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 64/27 (* -1 (/ (- 16/9 (* 4/9 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 64/27 (* -1 (/ (+ 16/9 (* -1 (/ (- 4/9 (* 28/27 (/ 1 u))) u))) u))))) |
(* 3 (* s (log (/ (+ 1 (* (+ 2/3 (* 4/3 u)) (- (* 4/3 u) 1/3))) (+ 1 (* -64/27 (pow (- u 1/4) 3))))))) |
(* 3 (* s (log (/ (+ 1 (* (+ 2/3 (* 4/3 u)) (- (* 4/3 u) 1/3))) (+ 1 (* -64/27 (pow (- u 1/4) 3))))))) |
(* 3 (* s (log (/ (+ 1 (* (+ 2/3 (* 4/3 u)) (- (* 4/3 u) 1/3))) (+ 1 (* -64/27 (pow (- u 1/4) 3))))))) |
(* 3 (* s (log (/ (+ 1 (* (+ 2/3 (* 4/3 u)) (- (* 4/3 u) 1/3))) (+ 1 (* -64/27 (pow (- u 1/4) 3))))))) |
(* 3 (* s (log (/ (+ 1 (* (+ 2/3 (* 4/3 u)) (- (* 4/3 u) 1/3))) (+ 1 (* -64/27 (pow (- u 1/4) 3))))))) |
(* 3 (* s (log (/ (+ 1 (* (+ 2/3 (* 4/3 u)) (- (* 4/3 u) 1/3))) (+ 1 (* -64/27 (pow (- u 1/4) 3))))))) |
(* 3 (* s (log (/ (+ 1 (* (+ 2/3 (* 4/3 u)) (- (* 4/3 u) 1/3))) (+ 1 (* -64/27 (pow (- u 1/4) 3))))))) |
(* 3 (* s (log (/ (+ 1 (* (+ 2/3 (* 4/3 u)) (- (* 4/3 u) 1/3))) (+ 1 (* -64/27 (pow (- u 1/4) 3))))))) |
(* 3 (* s (log (/ (+ 1 (* (+ 2/3 (* 4/3 u)) (- (* 4/3 u) 1/3))) (+ 1 (* -64/27 (pow (- u 1/4) 3))))))) |
(* 3 (* s (log (/ (+ 1 (* (+ 2/3 (* 4/3 u)) (- (* 4/3 u) 1/3))) (+ 1 (* -64/27 (pow (- u 1/4) 3))))))) |
(* 3 (* s (log (/ (+ 1 (* (+ 2/3 (* 4/3 u)) (- (* 4/3 u) 1/3))) (+ 1 (* -64/27 (pow (- u 1/4) 3))))))) |
(* 3 (* s (log (/ (+ 1 (* (+ 2/3 (* 4/3 u)) (- (* 4/3 u) 1/3))) (+ 1 (* -64/27 (pow (- u 1/4) 3))))))) |
(* 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)))))) |
32/27 |
(+ 32/27 (* -32/9 (pow u 2))) |
(+ 32/27 (* (pow u 2) (- (* 64/27 u) 32/9))) |
(+ 32/27 (* (pow u 2) (- (* 64/27 u) 32/9))) |
(* 64/27 (pow u 3)) |
(* (pow u 3) (- 64/27 (* 32/9 (/ 1 u)))) |
(* (pow u 3) (- (+ 64/27 (/ 32/27 (pow u 3))) (* 32/9 (/ 1 u)))) |
(* (pow u 3) (- (+ 64/27 (/ 32/27 (pow u 3))) (* 32/9 (/ 1 u)))) |
(* 64/27 (pow u 3)) |
(* -1 (* (pow u 3) (- (* 32/9 (/ 1 u)) 64/27))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 32/27 (/ 1 (pow u 2))) 32/9) u)) 64/27))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 32/27 (/ 1 (pow u 2))) 32/9) u)) 64/27))) |
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))) |
-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 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)))) |
(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)))) |
2/3 |
(+ 2/3 (* 4/3 u)) |
(+ 2/3 (* 4/3 u)) |
(+ 2/3 (* 4/3 u)) |
(* 4/3 u) |
(* u (+ 4/3 (* 2/3 (/ 1 u)))) |
(* u (+ 4/3 (* 2/3 (/ 1 u)))) |
(* u (+ 4/3 (* 2/3 (/ 1 u)))) |
(* 4/3 u) |
(* u (+ 4/3 (* 2/3 (/ 1 u)))) |
(* u (+ 4/3 (* 2/3 (/ 1 u)))) |
(* u (+ 4/3 (* 2/3 (/ 1 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)))) |
(- (log 8/9) (log 32/27)) |
(- (+ u (log 8/9)) (log 32/27)) |
(- (+ (log 8/9) (* u (+ 1 (* 1/2 u)))) (log 32/27)) |
(- (+ (log 8/9) (* u (+ 1 (* u (+ 1/2 (* 1/3 u)))))) (log 32/27)) |
(- (+ (log -16/9) (* -2 (log (/ 1 u)))) (+ (log 64/27) (* -3 (log (/ 1 u))))) |
(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (/ 1 u))) (+ (log 64/27) (* -3 (log (/ 1 u))))) |
(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log 64/27) (* -3 (log (/ 1 u))))) |
(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))))) (+ (log 64/27) (* -3 (log (/ 1 u))))) |
(- (+ (log -16/9) (* -2 (log (/ -1 u)))) (+ (log -64/27) (* -3 (log (/ -1 u))))) |
(- (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (/ 1 u))) (+ (log -64/27) (* -3 (log (/ -1 u))))) |
(- (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -64/27) (* -3 (log (/ -1 u))))) |
(- (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)))) (+ (log -64/27) (* -3 (log (/ -1 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 (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)) |
(* 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 (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)) |
(* 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 (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)) |
(* 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 (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)) |
(* 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 (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)) |
(* 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 (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)) |
(* 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 (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)) |
(* 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 (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)) |
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(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u) |
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(/ -3/4 u) |
(/.f32 #s(literal -3/4 binary32) u) |
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(* -3 (* s (log 4/3))) |
(*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32)))) |
(+ (* -3 (* s (log 4/3))) (* 3 (* s u))) |
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1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* -4/3 u)) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)) |
(+ 1/3 (* -4/3 u)) |
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(* -1 s) |
(neg.f32 s) |
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(neg.f32 s) |
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(neg.f32 s) |
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(neg.f32 s) |
7/9 |
#s(literal 7/9 binary32) |
(+ 7/9 (* 4/9 u)) |
(fma.f32 u #s(literal 4/9 binary32) #s(literal 7/9 binary32)) |
(+ 7/9 (* u (+ 4/9 (* 16/9 u)))) |
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(fma.f32 u (fma.f32 #s(literal 16/9 binary32) u #s(literal 4/9 binary32)) #s(literal 7/9 binary32)) |
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28/27 |
#s(literal 28/27 binary32) |
(+ 28/27 (* -4/9 u)) |
(fma.f32 #s(literal -4/9 binary32) u #s(literal 28/27 binary32)) |
(+ 28/27 (* u (- (* 16/9 u) 4/9))) |
(fma.f32 u (fma.f32 #s(literal 16/9 binary32) u #s(literal -4/9 binary32)) #s(literal 28/27 binary32)) |
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(* -64/27 (pow u 3)) |
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(* -64/27 (pow u 3)) |
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(* 3 (* s (log (/ (+ 1 (* (+ 2/3 (* 4/3 u)) (- (* 4/3 u) 1/3))) (+ 1 (* -64/27 (pow (- u 1/4) 3))))))) |
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32/27 |
#s(literal 32/27 binary32) |
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4/3 |
#s(literal 4/3 binary32) |
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#s(literal -1/3 binary32) |
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#s(literal -1/9 binary32) |
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(log 3/4) |
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2/3 |
#s(literal 2/3 binary32) |
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(- (log 8/9) (log 32/27)) |
(-.f32 (log.f32 #s(literal 8/9 binary32)) (log.f32 #s(literal 32/27 binary32))) |
(- (+ u (log 8/9)) (log 32/27)) |
(+.f32 (log.f32 #s(literal 8/9 binary32)) (-.f32 u (log.f32 #s(literal 32/27 binary32)))) |
(- (+ (log 8/9) (* u (+ 1 (* 1/2 u)))) (log 32/27)) |
(fma.f32 u (fma.f32 u #s(literal 1/2 binary32) #s(literal 1 binary32)) (-.f32 (log.f32 #s(literal 8/9 binary32)) (log.f32 #s(literal 32/27 binary32)))) |
(- (+ (log 8/9) (* u (+ 1 (* u (+ 1/2 (* 1/3 u)))))) (log 32/27)) |
(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 8/9 binary32)) (log.f32 #s(literal 32/27 binary32)))) |
(- (+ (log -16/9) (* -2 (log (/ 1 u)))) (+ (log 64/27) (* -3 (log (/ 1 u))))) |
(fma.f32 (log.f32 u) #s(literal 2 binary32) (-.f32 (log.f32 #s(literal -16/9 binary32)) (fma.f32 #s(literal 3 binary32) (log.f32 u) (log.f32 #s(literal 64/27 binary32))))) |
(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (/ 1 u))) (+ (log 64/27) (* -3 (log (/ 1 u))))) |
(+.f32 (log.f32 #s(literal -16/9 binary32)) (fma.f32 (log.f32 u) #s(literal 2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 3 binary32) (log.f32 u) (log.f32 #s(literal 64/27 binary32)))))) |
(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log 64/27) (* -3 (log (/ 1 u))))) |
(+.f32 (log.f32 #s(literal -16/9 binary32)) (+.f32 (fma.f32 (log.f32 u) #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u u))) (-.f32 (/.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 3 binary32) (log.f32 u) (log.f32 #s(literal 64/27 binary32)))))) |
(- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3))))))) (+ (log 64/27) (* -3 (log (/ 1 u))))) |
(+.f32 (log.f32 #s(literal -16/9 binary32)) (+.f32 (fma.f32 (log.f32 u) #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u u))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/3 binary32) (*.f32 u (*.f32 u u)))) (fma.f32 #s(literal 3 binary32) (log.f32 u) (log.f32 #s(literal 64/27 binary32)))))) |
(- (+ (log -16/9) (* -2 (log (/ -1 u)))) (+ (log -64/27) (* -3 (log (/ -1 u))))) |
(fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (-.f32 (log.f32 #s(literal -16/9 binary32)) (fma.f32 (neg.f32 (log.f32 (neg.f32 u))) #s(literal -3 binary32) (log.f32 #s(literal -64/27 binary32))))) |
(- (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (/ 1 u))) (+ (log -64/27) (* -3 (log (/ -1 u))))) |
(+.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (neg.f32 u))) (log.f32 #s(literal -16/9 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) u) (fma.f32 (neg.f32 (log.f32 (neg.f32 u))) #s(literal -3 binary32) (log.f32 #s(literal -64/27 binary32))))) |
(- (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (+ (/ 1/2 (pow u 2)) (/ 1 u)))) (+ (log -64/27) (* -3 (log (/ -1 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 binary32) u) (/.f32 #s(literal 1/2 binary32) (*.f32 u u))) (fma.f32 (neg.f32 (log.f32 (neg.f32 u))) #s(literal -3 binary32) (log.f32 #s(literal -64/27 binary32))))) |
(- (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u)))) (+ (log -64/27) (* -3 (log (/ -1 u))))) |
(-.f32 (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 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u)) u)) u))) (fma.f32 (neg.f32 (log.f32 (neg.f32 u))) #s(literal -3 binary32) (log.f32 #s(literal -64/27 binary32)))) |
| 4 888× | lower-/.f64 |
| 4 886× | lower-/.f32 |
| 3 300× | lower-*.f64 |
| 3 276× | lower-*.f32 |
| 3 136× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 326 |
| 0 | 87 | 297 |
| 1 | 378 | 272 |
| 2 | 3357 | 258 |
| 0 | 9397 | 246 |
| 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(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
(log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32))) |
#s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #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) |
(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 (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 (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 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)) |
(*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) |
(log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) |
(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)))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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) (*.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))))) |
| Outputs |
|---|
(+.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)) |
(+.f32 #s(literal -4/9 binary32) (*.f32 #s(literal 16/9 binary32) u)) |
(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 (/.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32))) (/.f32 #s(literal 16/81 binary32) (-.f32 (*.f32 #s(literal 16/9 binary32) u) #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 (*.f32 u u) #s(literal -1/64 binary32))) (fma.f32 u u (fma.f32 u #s(literal 1/4 binary32) #s(literal 1/16 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 (*.f32 u u) #s(literal -1/64 binary32)) #s(literal 16/9 binary32)) (fma.f32 u u (fma.f32 u #s(literal 1/4 binary32) #s(literal 1/16 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 (neg.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 4096/729 binary32) #s(literal -64/729 binary32))) (neg.f32 (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 (neg.f32 (-.f32 (*.f32 (*.f32 #s(literal 16/9 binary32) u) (*.f32 #s(literal 16/9 binary32) u)) #s(literal 16/81 binary32))) (neg.f32 (-.f32 (*.f32 #s(literal 16/9 binary32) u) #s(literal -4/9 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 16/9 binary32) (fma.f32 u (*.f32 u u) #s(literal -1/64 binary32)))) (neg.f32 (fma.f32 u u (-.f32 #s(literal 1/16 binary32) (*.f32 u #s(literal -1/4 binary32)))))) |
(/.f32 (neg.f32 (*.f32 #s(literal 16/9 binary32) (fma.f32 u (*.f32 u u) #s(literal -1/64 binary32)))) (neg.f32 (fma.f32 u u (fma.f32 u #s(literal 1/4 binary32) #s(literal 1/16 binary32))))) |
(/.f32 (neg.f32 (*.f32 #s(literal 16/9 binary32) (fma.f32 u u #s(literal -1/16 binary32)))) (neg.f32 (+.f32 u #s(literal 1/4 binary32)))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 u (*.f32 u u) #s(literal -1/64 binary32)) #s(literal 16/9 binary32))) (neg.f32 (fma.f32 u u (-.f32 #s(literal 1/16 binary32) (*.f32 u #s(literal -1/4 binary32)))))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 u (*.f32 u u) #s(literal -1/64 binary32)) #s(literal 16/9 binary32))) (neg.f32 (fma.f32 u u (fma.f32 u #s(literal 1/4 binary32) #s(literal 1/16 binary32))))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 u u #s(literal -1/16 binary32)) #s(literal 16/9 binary32))) (neg.f32 (+.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 (fma.f32 #s(literal 16/9 binary32) u #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 (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 (fma.f32 #s(literal 16/9 binary32) u #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)))) (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 (fma.f32 #s(literal 16/9 binary32) u #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 (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))) (*.f32 #s(literal 3 binary32) s)) (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 (fma.f32 #s(literal 16/9 binary32) u #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 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 2 binary32)))) |
(/.f32 (*.f32 (*.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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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 (fma.f32 #s(literal 16/9 binary32) u #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))))) |
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(/.f32 (neg.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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) #s(literal 3 binary32)))) (neg.f32 (fma.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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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 2 binary32))))) |
(/.f32 (neg.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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) #s(literal 3 binary32)))) (neg.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)) (-.f32 (pow.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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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))) (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))))))))) |
(/.f32 (neg.f32 (*.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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))))))) (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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))))))) |
(/.f32 (neg.f32 (*.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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))))))) (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) (*.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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))))))) |
(/.f32 (neg.f32 (neg.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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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 2 binary32)))))) |
(/.f32 (neg.f32 (neg.f32 (*.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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))))))) (neg.f32 (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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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 3 binary32)) (pow.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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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 2 binary32))))) |
(*.f32 (*.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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))))) (/.f32 #s(literal 1 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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 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 (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)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))))) |
(log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.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)) (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)))) |
Compiled 69 020 to 6 517 computations (90.6% saved)
28 alts after pruning (27 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 815 | 22 | 1 837 |
| Fresh | 12 | 5 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 832 | 28 | 1 860 |
| Status | Accuracy | Program |
|---|---|---|
| 98.5% | (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)))))) | |
| 96.8% | (/.f32 (*.f32 (-.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))) (*.f32 #s(literal 3 binary32) s)) (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 (fma.f32 #s(literal 16/9 binary32) u #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 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 2 binary32)))) | |
| 97.7% | (/.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))))) | |
| 95.4% | (*.f32 (*.f32 (neg.f32 s) (-.f32 (log1p.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)) #s(literal -64/27 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))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))))) #s(literal 3 binary32)) | |
| 95.8% | (*.f32 (*.f32 (neg.f32 s) (neg.f32 (log.f32 (/.f32 (+.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (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)))))) #s(literal 3 binary32)) | |
| 98.0% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) #s(literal 3 binary32)) | |
| 98.4% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) | |
| 97.9% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 3/4 binary32) (+.f32 u #s(literal -1/4 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)) | |
| ▶ | 97.0% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) #s(literal 3 binary32)) |
| 95.2% | (*.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)) | |
| ▶ | 7.3% | (*.f32 (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) |
| 98.3% | (*.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))))) | |
| ▶ | 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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) |
| 97.0% | (*.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))))) | |
| ▶ | 98.6% | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) |
| 97.5% | (*.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))))))) | |
| 95.9% | (*.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 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -64/27 binary32))) #s(literal 1 binary32))))) | |
| 95.9% | (*.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))))) | |
| 96.0% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ (- u 1/4) 3/4)) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)))))) | |
| 95.4% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 #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))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))))) | |
| ✓ | 7.3% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
| 25.8% | (*.f32 (*.f32 #s(literal 3 binary32) s) #s(approx (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) | |
| ▶ | 98.1% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) |
| 96.5% | (*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) | |
| 96.5% | #s(approx (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) | |
| 25.8% | #s(approx (* (* 3 s) (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1)))) (*.f32 #s(literal 3 binary32) (*.f32 s (+.f32 u (log.f32 #s(literal 3/4 binary32)))))) | |
| 98.1% | #s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32))))) |
Compiled 1 071 to 773 computations (27.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) | |
| cost-diff | 64 | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) #s(literal 3 binary32)) | |
| cost-diff | 416 | (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))) | |
| cost-diff | 0 | (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) | |
| cost-diff | 0 | (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) | |
| cost-diff | 0 | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) | |
| cost-diff | 64 | (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) | |
| cost-diff | 0 | #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)) | |
| cost-diff | 0 | (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32))) | |
| cost-diff | 0 | (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) | |
| cost-diff | 0 | (*.f32 (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) | |
| cost-diff | 0 | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 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))) | |
| cost-diff | 64 | (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) | |
| cost-diff | 256 | (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) |
| 13 904× | lower-fma.f64 |
| 13 898× | lower-fma.f32 |
| 2 912× | lower-*.f64 |
| 2 888× | lower-*.f32 |
| 2 120× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 386 |
| 0 | 101 | 389 |
| 1 | 189 | 389 |
| 2 | 381 | 388 |
| 3 | 747 | 365 |
| 4 | 1458 | 357 |
| 5 | 2559 | 339 |
| 6 | 4548 | 339 |
| 7 | 5785 | 339 |
| 8 | 6315 | 339 |
| 9 | 6552 | 339 |
| 10 | 6722 | 339 |
| 11 | 6940 | 339 |
| 12 | 7230 | 339 |
| 13 | 7327 | 339 |
| 14 | 7359 | 339 |
| 15 | 7461 | 339 |
| 16 | 7507 | 339 |
| 17 | 7527 | 339 |
| 18 | 7537 | 339 |
| 19 | 7543 | 339 |
| 20 | 7545 | 339 |
| 21 | 7545 | 339 |
| 22 | 7945 | 339 |
| 0 | 8093 | 325 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 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 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 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) #s(literal -3/4 binary32))) |
(/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
u |
#s(literal -3/4 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 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 (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) |
(*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
s |
(log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32))) |
#s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)) |
#s(literal 3/4 binary32) |
#s(literal 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 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
#s(literal -3 binary32) |
(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 |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) #s(literal 3 binary32)) |
(*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) |
(neg.f32 s) |
s |
(log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) |
#s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))) |
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))) |
u |
(+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)) |
#s(literal -4/3 binary32) |
(/.f32 #s(literal 1/3 binary32) u) |
#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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) |
#s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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) |
| Outputs |
|---|
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 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 (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 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 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 (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) |
(log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32))) |
(log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) |
(/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
u |
#s(literal -3/4 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 (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) |
(*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) |
(fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 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 (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
(*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
s |
(log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32))) |
#s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)) |
#s(literal 3/4 binary32) |
#s(literal 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 (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) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) |
(*.f32 #s(literal -3 binary32) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) |
#s(literal -3 binary32) |
(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 |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) #s(literal 3 binary32)) |
(*.f32 (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (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 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) |
(*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))))) |
(neg.f32 s) |
s |
(log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) |
(log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) |
#s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))) |
#s(approx (neg (+ (* u 4/3) -1/3)) (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) |
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)) |
u |
(+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)) |
#s(literal -4/3 binary32) |
(/.f32 #s(literal 1/3 binary32) u) |
#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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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) (*.f32 s (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) |
#s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3209762695368841 | (*.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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) | |
| accuracy | 0.328125 | (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) | |
| accuracy | 0.352226269536884 | (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) | |
| accuracy | 0.9292906516396262 | (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) | |
| accuracy | 0.33203125 | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) #s(literal 3 binary32)) | |
| accuracy | 0.33939129109026733 | (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) | |
| accuracy | 0.3671875 | (/.f32 #s(literal 1/3 binary32) u) | |
| accuracy | 0.9344912953464242 | (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)) | |
| accuracy | 0.25 | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) | |
| accuracy | 0.26171875 | (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) | |
| accuracy | 0.328125 | (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) | |
| accuracy | 0.33939129109026733 | (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) | |
| accuracy | 0.25 | (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) | |
| accuracy | 0.33203125 | (*.f32 (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) | |
| accuracy | 0.9418430889443205 | (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32))) | |
| accuracy | 23.26112848819482 | #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)) | |
| accuracy | 0.21484375 | (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 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 | 0.26953125 | (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) | |
| accuracy | 0.3209762695368841 | (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 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 | 0.352226269536884 | (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 368 to 55 computations (85.1% saved)
ival-mult: 23.0ms (27.1% of total)const: 22.0ms (25.9% of total)ival-log1p: 14.0ms (16.5% of total)ival-div: 7.0ms (8.2% of total)ival-add: 6.0ms (7.1% of total)ival-sub: 6.0ms (7.1% of total)ival-neg: 4.0ms (4.7% of total)ival-log: 2.0ms (2.4% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (patch (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) (patch (*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) (patch (*.f32 (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) (patch (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #<representation binary32>) () ()) |
#s(alt (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32))) (patch (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)) (patch #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)) #<representation binary32>) () ()) |
#s(alt (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (patch (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) s) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) (patch (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) (patch (log1p.f32 (neg.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)))) #<representation binary32>) () ()) |
#s(alt (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))) (patch (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) #s(literal 3 binary32)) (patch (*.f32 (*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) #s(literal 3 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) (patch (*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) #<representation binary32>) () ()) |
#s(alt (neg.f32 s) (patch (neg.f32 s) #<representation binary32>) () ()) |
#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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) (patch (*.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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 3 binary32) s) (patch (*.f32 #s(literal 3 binary32) s) #<representation binary32>) () ()) |
#s(alt (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) (patch (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (patch (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) (patch (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))) #<representation binary32>) () ()) |
#s(alt (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))))) (patch (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))))) #<representation binary32>) () ()) |
#s(alt (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) (patch (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)) (patch (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1/3 binary32) u) (patch (/.f32 #s(literal 1/3 binary32) u) #<representation binary32>) () ()) |
#s(alt (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) (patch (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) #<representation binary32>) () ()) |
#s(alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) (patch (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) #<representation binary32>) () ()) |
#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt -1/3 (taylor 0 u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (* 4/3 u) 1/3) (taylor 0 u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (* 4/3 u) 1/3) (taylor 0 u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (* 4/3 u) 1/3) (taylor 0 u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 4/3 u) (taylor inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* u (- 4/3 (* 1/3 (/ 1 u)))) (taylor inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* u (- 4/3 (* 1/3 (/ 1 u)))) (taylor inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* u (- 4/3 (* 1/3 (/ 1 u)))) (taylor inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 4/3 u) (taylor -inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) (taylor -inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) (taylor -inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) (taylor -inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt -1/9 (taylor 0 u) (#s(alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (patch (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (- (* 8/9 u) 1/9) (taylor 0 u) (#s(alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (patch (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (- (* u (+ 8/9 (* -16/9 u))) 1/9) (taylor 0 u) (#s(alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (patch (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (- (* u (+ 8/9 (* -16/9 u))) 1/9) (taylor 0 u) (#s(alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (patch (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -16/9 (pow u 2)) (taylor inf u) (#s(alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (patch (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9)) (taylor inf u) (#s(alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (patch (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2))))) (taylor inf u) (#s(alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (patch (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2))))) (taylor inf u) (#s(alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (patch (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -16/9 (pow u 2)) (taylor -inf u) (#s(alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (patch (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9)) (taylor -inf u) (#s(alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (patch (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9)) (taylor -inf u) (#s(alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (patch (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9)) (taylor -inf u) (#s(alt (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) (patch (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt -4/9 (taylor 0 u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (- (* 16/9 u) 4/9) (taylor 0 u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (- (* 16/9 u) 4/9) (taylor 0 u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (- (* 16/9 u) 4/9) (taylor 0 u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* 16/9 u) (taylor inf u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* u (- 16/9 (* 4/9 (/ 1 u)))) (taylor inf u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* u (- 16/9 (* 4/9 (/ 1 u)))) (taylor inf u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* u (- 16/9 (* 4/9 (/ 1 u)))) (taylor inf u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* 16/9 u) (taylor -inf u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u (- (* 4/9 (/ 1 u)) 16/9))) (taylor -inf u) (#s(alt (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) (patch (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) #<representation binary32>) () ())) ()) |
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#s(alt (+ (log -4/3) (* -1 (log (/ 1 u)))) (taylor inf u) (#s(alt (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) (patch (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u)) (taylor inf u) (#s(alt (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) (patch (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))) (taylor inf u) (#s(alt (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) (patch (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u)) (taylor inf u) (#s(alt (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) (patch (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log 4/3) (* -1 (log (/ -1 u)))) (taylor -inf u) (#s(alt (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) (patch (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u)) (taylor -inf u) (#s(alt (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) (patch (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))) (taylor -inf u) (#s(alt (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) (patch (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u)))) (taylor -inf u) (#s(alt (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) (patch (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) #<representation binary32>) () ())) ()) |
#s(alt -1/9 (taylor 0 u) (#s(alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) (patch (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (* 8/9 u) 1/9) (taylor 0 u) (#s(alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) (patch (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (* u (+ 8/9 (* -16/9 u))) 1/9) (taylor 0 u) (#s(alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) (patch (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (* u (+ 8/9 (* -16/9 u))) 1/9) (taylor 0 u) (#s(alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) (patch (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -16/9 (pow u 2)) (taylor inf u) (#s(alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) (patch (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9)) (taylor inf u) (#s(alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) (patch (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2))))) (taylor inf u) (#s(alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) (patch (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u 2) (- (* 8/9 (/ 1 u)) (+ 16/9 (/ 1/9 (pow u 2))))) (taylor inf u) (#s(alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) (patch (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -16/9 (pow u 2)) (taylor -inf u) (#s(alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) (patch (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u 2) (- (* 8/9 (/ 1 u)) 16/9)) (taylor -inf u) (#s(alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) (patch (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9)) (taylor -inf u) (#s(alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) (patch (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u 2) (- (* -1 (/ (- (* 1/9 (/ 1 u)) 8/9) u)) 16/9)) (taylor -inf u) (#s(alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) (patch (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (log 8/9) (taylor 0 u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ u (log 8/9)) (taylor 0 u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log 8/9) (* u (+ 1 (* -5/2 u)))) (taylor 0 u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log 8/9) (* u (+ 1 (* u (- (* 7/3 u) 5/2))))) (taylor 0 u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -16/9) (* -2 (log (/ 1 u)))) (taylor inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u))) (taylor inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) (taylor inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u))) (taylor inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -16/9) (* -2 (log (/ -1 u)))) (taylor -inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u))) (taylor -inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) (taylor -inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (+ (/ 7/24 (pow u 2)) (* 5/8 (/ 1 u)))) u)))) (taylor -inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | s | @ | 0 | (* (* 3 s) (- (log (+ 1 (/ (- 1/4 u) -3/4))) (log (+ 1 (* (- 1/4 u) (* 16/9 (+ u -1/4))))))) |
| 1.0ms | s | @ | inf | (* (* 3 s) (- (log (+ 1 (/ (- 1/4 u) -3/4))) (log (+ 1 (* (- 1/4 u) (* 16/9 (+ u -1/4))))))) |
| 0.0ms | u | @ | -inf | (* u (+ -4/3 (/ 1/3 u))) |
| 0.0ms | u | @ | 0 | (* u (+ -4/3 (/ 1/3 u))) |
| 0.0ms | u | @ | inf | (* u (+ -4/3 (/ 1/3 u))) |
| 1× | egg-herbie |
| 11 808× | lower-fma.f64 |
| 11 808× | lower-fma.f32 |
| 4 920× | lower-+.f64 |
| 4 920× | lower-+.f32 |
| 4 512× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 5312 |
| 1 | 1359 | 5061 |
| 2 | 3716 | 4668 |
| 0 | 8137 | 4307 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-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))) |
-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)) |
-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 (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 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 (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
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(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(/ 1/3 u) |
(/ (+ 1/3 (* -4/3 u)) u) |
(/ (+ 1/3 (* -4/3 u)) u) |
(/ (+ 1/3 (* -4/3 u)) u) |
-4/3 |
(- (* 1/3 (/ 1 u)) 4/3) |
(- (* 1/3 (/ 1 u)) 4/3) |
(- (* 1/3 (/ 1 u)) 4/3) |
-4/3 |
(- (* 1/3 (/ 1 u)) 4/3) |
(- (* 1/3 (/ 1 u)) 4/3) |
(- (* 1/3 (/ 1 u)) 4/3) |
(/ 1/3 u) |
(/ 1/3 u) |
(/ 1/3 u) |
(/ 1/3 u) |
(/ 1/3 u) |
(/ 1/3 u) |
(/ 1/3 u) |
(/ 1/3 u) |
(/ 1/3 u) |
(/ 1/3 u) |
(/ 1/3 u) |
(/ 1/3 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)))) |
-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)))) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary32) |
(- (* 4/3 u) 1/3) |
(fma.f32 #s(literal 4/3 binary32) u #s(literal -1/3 binary32)) |
(- (* 4/3 u) 1/3) |
(fma.f32 #s(literal 4/3 binary32) u #s(literal -1/3 binary32)) |
(- (* 4/3 u) 1/3) |
(fma.f32 #s(literal 4/3 binary32) u #s(literal -1/3 binary32)) |
(* 4/3 u) |
(*.f32 #s(literal 4/3 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))) |
(* 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 #s(literal 4/3 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))) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(*.f32 u (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1/3 binary32) u))) |
-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 u (*.f32 u #s(literal -16/9 binary32))) |
(* (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 u (*.f32 u #s(literal -16/9 binary32))) |
(* (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))) |
-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)))) |
(*.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 u #s(literal 16/9 binary32)) |
(* -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 (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log1p.f32 (fma.f32 #s(literal 4/3 binary32) u #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)) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log1p.f32 (fma.f32 #s(literal 4/3 binary32) u #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)) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log1p.f32 (fma.f32 #s(literal 4/3 binary32) u #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)) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log1p.f32 (fma.f32 #s(literal 4/3 binary32) u #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)) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log1p.f32 (fma.f32 #s(literal 4/3 binary32) u #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)) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log1p.f32 (fma.f32 #s(literal 4/3 binary32) u #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)) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log1p.f32 (fma.f32 #s(literal 4/3 binary32) u #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)) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log1p.f32 (fma.f32 #s(literal 4/3 binary32) u #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)) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log1p.f32 (fma.f32 #s(literal 4/3 binary32) u #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)) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log1p.f32 (fma.f32 #s(literal 4/3 binary32) u #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)) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log1p.f32 (fma.f32 #s(literal 4/3 binary32) u #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)) |
(* 3 (* s (- (log (+ 1 (* -4/3 (- 1/4 u)))) (log (+ 1 (* 16/9 (* (- 1/4 u) (- u 1/4)))))))) |
(*.f32 (-.f32 (log1p.f32 (fma.f32 #s(literal 4/3 binary32) u #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)) |
(* 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 (log.f32 #s(literal 2/3 binary32)) (-.f32 (log.f32 #s(literal 8/9 binary32)) u))) |
(+ (* 3 (* s (- (log 2/3) (log 8/9)))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) |
(fma.f32 u (*.f32 s (fma.f32 u #s(literal 3/2 binary32) #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 (log.f32 #s(literal 2/3 binary32)) (-.f32 (log.f32 #s(literal 8/9 binary32)) u)) (*.f32 u (*.f32 u (*.f32 s (+.f32 u #s(literal 3/2 binary32)))))) |
(* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) |
(*.f32 s (*.f32 #s(literal 3 binary32) (+.f32 (log.f32 #s(literal 4/3 binary32)) (-.f32 (neg.f32 (log.f32 u)) (log.f32 #s(literal -16/9 binary32)))))) |
(+ (* 3 (* s (- (+ (log 4/3) (* -1 (log (/ 1 u)))) (+ (log -16/9) (* -2 (log (/ 1 u))))))) (* 3 (/ s u))) |
(*.f32 s (fma.f32 (+.f32 (log.f32 #s(literal 4/3 binary32)) (-.f32 (neg.f32 (log.f32 u)) (log.f32 #s(literal -16/9 binary32)))) #s(literal 3 binary32) (/.f32 #s(literal 3 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)))) |
(fma.f32 #s(literal 3 binary32) (*.f32 s (+.f32 (log.f32 #s(literal 4/3 binary32)) (-.f32 (neg.f32 (log.f32 u)) (log.f32 #s(literal -16/9 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 #s(literal 3 binary32) (*.f32 s (+.f32 (log.f32 #s(literal 4/3 binary32)) (-.f32 (neg.f32 (log.f32 u)) (log.f32 #s(literal -16/9 binary32))))) (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 -4/3) (* -1 (log (/ -1 u)))) (+ (log -16/9) (* -2 (log (/ -1 u))))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (+.f32 (log.f32 #s(literal -4/3 binary32)) (fma.f32 (neg.f32 (log.f32 (neg.f32 u))) #s(literal 1 binary32) (neg.f32 (log.f32 #s(literal -16/9 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 (log.f32 #s(literal -4/3 binary32)) (fma.f32 (neg.f32 (log.f32 (neg.f32 u))) #s(literal 1 binary32) (neg.f32 (log.f32 #s(literal -16/9 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 (log.f32 #s(literal -4/3 binary32)) (fma.f32 (neg.f32 (log.f32 (neg.f32 u))) #s(literal 1 binary32) (neg.f32 (log.f32 #s(literal -16/9 binary32))))) (/.f32 (fma.f32 #s(literal 3 binary32) s (/.f32 (*.f32 s #s(literal 3/2 binary32)) 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 (*.f32 #s(literal 3 binary32) s) (+.f32 (log.f32 #s(literal -4/3 binary32)) (fma.f32 (neg.f32 (log.f32 (neg.f32 u))) #s(literal 1 binary32) (neg.f32 (log.f32 #s(literal -16/9 binary32))))) (/.f32 (fma.f32 s #s(literal -3 binary32) (/.f32 (fma.f32 s #s(literal 3/2 binary32) (/.f32 s u)) (neg.f32 u))) (neg.f32 u))) |
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4))))))) |
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #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 u #s(literal -4/3 binary32) #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 u #s(literal -4/3 binary32) #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 u #s(literal -4/3 binary32) #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 u #s(literal -4/3 binary32) #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 u #s(literal -4/3 binary32) #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 u #s(literal -4/3 binary32) #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 u #s(literal -4/3 binary32) #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 u #s(literal -4/3 binary32) #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 u #s(literal -4/3 binary32) #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 u #s(literal -4/3 binary32) #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 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) |
(* 3 (* s (log 3/4))) |
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32)))) |
(+ (* 3 (* s u)) (* 3 (* s (log 3/4)))) |
(*.f32 #s(literal 3 binary32) (*.f32 s (+.f32 u (log.f32 #s(literal 3/4 binary32))))) |
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) |
(fma.f32 u (*.f32 s (fma.f32 u #s(literal 3/2 binary32) #s(literal 3 binary32))) (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))) |
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))) |
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3/4 |
#s(literal 3/4 binary32) |
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(*.f32 #s(literal 4/3 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))) |
(* 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 #s(literal 4/3 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))) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(*.f32 u (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1/3 binary32) u))) |
(/ 1/3 u) |
(/.f32 #s(literal 1/3 binary32) u) |
(/ (+ 1/3 (* -4/3 u)) u) |
(/.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)) u) |
(/ (+ 1/3 (* -4/3 u)) u) |
(/.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)) u) |
(/ (+ 1/3 (* -4/3 u)) u) |
(/.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)) u) |
-4/3 |
#s(literal -4/3 binary32) |
(- (* 1/3 (/ 1 u)) 4/3) |
(+.f32 (/.f32 #s(literal 1/3 binary32) u) #s(literal -4/3 binary32)) |
(- (* 1/3 (/ 1 u)) 4/3) |
(+.f32 (/.f32 #s(literal 1/3 binary32) u) #s(literal -4/3 binary32)) |
(- (* 1/3 (/ 1 u)) 4/3) |
(+.f32 (/.f32 #s(literal 1/3 binary32) u) #s(literal -4/3 binary32)) |
-4/3 |
#s(literal -4/3 binary32) |
(- (* 1/3 (/ 1 u)) 4/3) |
(+.f32 (/.f32 #s(literal 1/3 binary32) u) #s(literal -4/3 binary32)) |
(- (* 1/3 (/ 1 u)) 4/3) |
(+.f32 (/.f32 #s(literal 1/3 binary32) u) #s(literal -4/3 binary32)) |
(- (* 1/3 (/ 1 u)) 4/3) |
(+.f32 (/.f32 #s(literal 1/3 binary32) u) #s(literal -4/3 binary32)) |
(/ 1/3 u) |
(/.f32 #s(literal 1/3 binary32) u) |
(/ 1/3 u) |
(/.f32 #s(literal 1/3 binary32) u) |
(/ 1/3 u) |
(/.f32 #s(literal 1/3 binary32) u) |
(/ 1/3 u) |
(/.f32 #s(literal 1/3 binary32) u) |
(/ 1/3 u) |
(/.f32 #s(literal 1/3 binary32) u) |
(/ 1/3 u) |
(/.f32 #s(literal 1/3 binary32) u) |
(/ 1/3 u) |
(/.f32 #s(literal 1/3 binary32) u) |
(/ 1/3 u) |
(/.f32 #s(literal 1/3 binary32) u) |
(/ 1/3 u) |
(/.f32 #s(literal 1/3 binary32) u) |
(/ 1/3 u) |
(/.f32 #s(literal 1/3 binary32) u) |
(/ 1/3 u) |
(/.f32 #s(literal 1/3 binary32) u) |
(/ 1/3 u) |
(/.f32 #s(literal 1/3 binary32) u) |
(log 4/3) |
(log.f32 #s(literal 4/3 binary32)) |
(+ (log 4/3) (* -1 u)) |
(-.f32 (log.f32 #s(literal 4/3 binary32)) u) |
(+ (log 4/3) (* u (- (* -1/2 u) 1))) |
(fma.f32 u (fma.f32 u #s(literal -1/2 binary32) #s(literal -1 binary32)) (log.f32 #s(literal 4/3 binary32))) |
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1))) |
(fma.f32 u (fma.f32 u (fma.f32 #s(literal -1/3 binary32) u #s(literal -1/2 binary32)) #s(literal -1 binary32)) (log.f32 #s(literal 4/3 binary32))) |
(+ (log -4/3) (* -1 (log (/ 1 u)))) |
(+.f32 (log.f32 u) (log.f32 #s(literal -4/3 binary32))) |
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u)) |
(+.f32 (log.f32 u) (+.f32 (log.f32 #s(literal -4/3 binary32)) (/.f32 #s(literal -1 binary32) u))) |
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))) |
(+.f32 (log.f32 u) (+.f32 (log.f32 #s(literal -4/3 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u)) u))) |
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u)) |
(+.f32 (+.f32 (log.f32 u) (log.f32 #s(literal -4/3 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u)) u)) u)) |
(+ (log 4/3) (* -1 (log (/ -1 u)))) |
(-.f32 (log.f32 #s(literal 4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u)))) |
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u)) |
(+.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u)))) (/.f32 #s(literal -1 binary32) u)) |
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))) |
(+.f32 (log.f32 #s(literal 4/3 binary32)) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u)) u) (neg.f32 (log.f32 (neg.f32 u))))) |
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u)))) |
(-.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u)))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u) (/.f32 #s(literal 1/3 binary32) (*.f32 u u)))) u)) |
-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 u (*.f32 u #s(literal -16/9 binary32))) |
(* (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 u (*.f32 u #s(literal -16/9 binary32))) |
(* (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 #s(literal 2 binary32) (log.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) (log.f32 u) (/.f32 #s(literal -1/2 binary32) u))) |
(+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(-.f32 (fma.f32 #s(literal 2 binary32) (log.f32 u) (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 (fma.f32 #s(literal 2 binary32) (log.f32 u) (log.f32 #s(literal -16/9 binary32))) (/.f32 (+.f32 #s(literal 5/8 binary32) (/.f32 #s(literal 7/24 binary32) u)) (*.f32 u u))) (/.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 5/8 binary32) u) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/24 binary32) (*.f32 u u)))) u)) |
| 4 518× | lower-/.f64 |
| 4 514× | lower-/.f32 |
| 4 324× | lower-fma.f64 |
| 4 318× | lower-fma.f32 |
| 3 658× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 305 |
| 0 | 101 | 305 |
| 1 | 404 | 293 |
| 2 | 3165 | 283 |
| 0 | 10039 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 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 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 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 (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) |
(*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
(log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32))) |
#s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)) |
(neg.f32 (fma.f32 u #s(literal 4/3 binary32) #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 #s(literal -3 binary32) (log1p.f32 (neg.f32 (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)))) |
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) #s(literal 3 binary32)) |
(*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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))) |
(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 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 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)) |
(+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)) |
(/.f32 #s(literal 1/3 binary32) u) |
(log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) |
(fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) |
(log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) |
| Outputs |
|---|
(neg.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1/4 binary32) u))) #s(literal -1 binary32))) |
(+.f32 #s(literal -1/3 binary32) (*.f32 u #s(literal 4/3 binary32))) |
(+.f32 #s(literal -1/3 binary32) (*.f32 #s(literal 1 binary32) (*.f32 u #s(literal 4/3 binary32)))) |
(+.f32 #s(literal -1/3 binary32) (neg.f32 (*.f32 u #s(literal -4/3 binary32)))) |
(+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1 binary32))) |
(+.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -1/3 binary32)) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 u #s(literal 4/3 binary32))) #s(literal -1/3 binary32)) |
(+.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1 binary32)) #s(literal -1/3 binary32)) |
(pow.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1/4 binary32) u)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) (-.f32 #s(literal 1/9 binary32) (*.f32 u #s(literal -4/9 binary32)))) (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 64/27 binary32) #s(literal -1/27 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.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))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1/4 binary32) u)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 u #s(literal 4/3 binary32)) #s(literal -1/3 binary32)) |
(fma.f32 #s(literal 4/3 binary32) u #s(literal -1/3 binary32)) |
(fma.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1 binary32) #s(literal -1/3 binary32)) |
(-.f32 #s(literal -1/3 binary32) (*.f32 u #s(literal -4/3 binary32))) |
(-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32)) |
(-.f32 #s(literal 0 binary32) (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) |
(-.f32 (/.f32 (*.f32 #s(literal 16/9 binary32) (*.f32 u u)) (fma.f32 u #s(literal 4/3 binary32) #s(literal 1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal 1/3 binary32)))) |
(-.f32 (/.f32 (/.f32 (*.f32 u u) (+.f32 #s(literal 1/4 binary32) u)) #s(literal 3/4 binary32)) (/.f32 (/.f32 #s(literal 1/16 binary32) (+.f32 #s(literal 1/4 binary32) u)) #s(literal 3/4 binary32))) |
(-.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (+.f32 #s(literal 1/4 binary32) u)) #s(literal -3/4 binary32)) (/.f32 (/.f32 (*.f32 u u) (+.f32 #s(literal 1/4 binary32) u)) #s(literal -3/4 binary32))) |
(-.f32 (/.f32 (/.f32 #s(literal 1/64 binary32) (fma.f32 u (+.f32 #s(literal 1/4 binary32) u) #s(literal 1/16 binary32))) #s(literal -3/4 binary32)) (/.f32 (/.f32 (*.f32 u (*.f32 u u)) (fma.f32 u (+.f32 #s(literal 1/4 binary32) u) #s(literal 1/16 binary32))) #s(literal -3/4 binary32))) |
(-.f32 (/.f32 (/.f32 (*.f32 u (*.f32 u u)) (fma.f32 u u (fma.f32 #s(literal 1/4 binary32) u #s(literal 1/16 binary32)))) #s(literal 3/4 binary32)) (/.f32 (/.f32 #s(literal 1/64 binary32) (fma.f32 u u (fma.f32 #s(literal 1/4 binary32) u #s(literal 1/16 binary32)))) #s(literal 3/4 binary32))) |
(-.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 #s(literal -3/4 binary32) (fma.f32 u (+.f32 #s(literal 1/4 binary32) u) #s(literal 1/16 binary32)))) (/.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal -3/4 binary32) (fma.f32 u (+.f32 #s(literal 1/4 binary32) u) #s(literal 1/16 binary32))))) |
(-.f32 (/.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal 3/4 binary32) (-.f32 (fma.f32 u u #s(literal 1/16 binary32)) (*.f32 u #s(literal -1/4 binary32))))) (/.f32 #s(literal 1/64 binary32) (*.f32 #s(literal 3/4 binary32) (-.f32 (fma.f32 u u #s(literal 1/16 binary32)) (*.f32 u #s(literal -1/4 binary32)))))) |
(-.f32 (/.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal 3/4 binary32) (fma.f32 u u (fma.f32 #s(literal 1/4 binary32) u #s(literal 1/16 binary32))))) (/.f32 #s(literal 1/64 binary32) (*.f32 #s(literal 3/4 binary32) (fma.f32 u u (fma.f32 #s(literal 1/4 binary32) u #s(literal 1/16 binary32)))))) |
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(*.f32 (fma.f32 (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) (*.f32 u (*.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)))) #s(literal -1/81 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal 1/9 binary32)))) |
(log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (-.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #s(literal 1 binary32))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))))) |
(+.f32 (log1p.f32 (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (-.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (-.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #s(literal 1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))))) |
(-.f32 (log1p.f32 (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) (log1p.f32 (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (-.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) (log.f32 (fma.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (-.f32 #s(literal 1 binary32) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))))) |
(-.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) (log1p.f32 (neg.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) |
(-.f32 (log.f32 (neg.f32 (fma.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (-.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))))) |
(-.f32 (log.f32 (-.f32 (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #s(literal 1 binary32))) (log.f32 (-.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(literal 1 binary32)))) |
(log.f32 (+.f32 #s(literal 1 binary32) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
Compiled 33 712 to 4 281 computations (87.3% saved)
33 alts after pruning (29 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 345 | 11 | 1 356 |
| Fresh | 4 | 18 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 351 | 33 | 1 384 |
| 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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))))) | |
| 96.8% | (/.f32 (*.f32 (-.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))) (*.f32 #s(literal 3 binary32) s)) (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 (fma.f32 #s(literal 16/9 binary32) u #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 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 2 binary32)))) | |
| 97.7% | (/.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))))) | |
| 95.4% | (*.f32 (*.f32 (neg.f32 s) (-.f32 (log1p.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)) #s(literal -64/27 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))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))))) #s(literal 3 binary32)) | |
| 95.8% | (*.f32 (*.f32 (neg.f32 s) (neg.f32 (log.f32 (/.f32 (+.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (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)))))) #s(literal 3 binary32)) | |
| 98.0% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) #s(literal 3 binary32)) | |
| 98.4% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) | |
| 97.9% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 3/4 binary32) (+.f32 u #s(literal -1/4 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)) | |
| ✓ | 97.0% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) #s(literal 3 binary32)) |
| 95.2% | (*.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)) | |
| ✓ | 7.3% | (*.f32 (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) |
| 25.8% | (*.f32 (*.f32 s #s(approx (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) #s(literal 3 binary32)) | |
| 98.3% | (*.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))))) | |
| ✓ | 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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) |
| 97.0% | (*.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))))) | |
| ▶ | 97.5% | (*.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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) |
| 95.9% | (*.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 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -64/27 binary32))) #s(literal 1 binary32))))) | |
| 95.9% | (*.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))))) | |
| 96.0% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ (- u 1/4) 3/4)) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)))))) | |
| 95.4% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 #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))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))))) | |
| ✓ | 7.3% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
| 25.8% | (*.f32 (*.f32 #s(literal 3 binary32) s) #s(approx (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) | |
| 98.1% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) s) | |
| ▶ | 98.5% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) |
| 97.1% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 16/9 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 u u))) u) (-.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) s) | |
| 97.0% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal -1/3 binary32)))) s) | |
| ▶ | 97.4% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) s) |
| 18.6% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u #s(literal -4/3 binary32))))) s) | |
| ▶ | 25.8% | (*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) s) |
| ▶ | 96.5% | (*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) |
| 98.1% | #s(approx (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))))) | |
| 96.5% | #s(approx (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
Compiled 1 147 to 830 computations (27.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f32 (log1p.f32 (-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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 (-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) | |
| cost-diff | 64 | (-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32)) | |
| cost-diff | 0 | (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) | |
| cost-diff | 0 | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) s) | |
| cost-diff | 64 | (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)) | |
| cost-diff | 64 | (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 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 | (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s)) | |
| cost-diff | 0 | #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) | |
| cost-diff | 0 | (*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) | |
| cost-diff | 0 | (-.f32 (log.f32 #s(literal 4/3 binary32)) u) | |
| cost-diff | 0 | #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u)) | |
| cost-diff | 0 | (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) | |
| cost-diff | 0 | (*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) s) | |
| cost-diff | 0 | (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) | |
| cost-diff | 0 | (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) | |
| cost-diff | 0 | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) | |
| cost-diff | 256 | (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) |
| 7 772× | lower-fma.f64 |
| 7 764× | lower-fma.f32 |
| 3 104× | lower-*.f64 |
| 3 080× | lower-*.f32 |
| 1 234× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 369 |
| 0 | 101 | 370 |
| 1 | 198 | 348 |
| 2 | 397 | 348 |
| 3 | 671 | 344 |
| 4 | 1146 | 344 |
| 5 | 1894 | 334 |
| 6 | 3260 | 334 |
| 7 | 5113 | 334 |
| 8 | 6186 | 334 |
| 9 | 6762 | 334 |
| 10 | 7161 | 334 |
| 11 | 7439 | 334 |
| 12 | 7525 | 334 |
| 13 | 7625 | 334 |
| 14 | 7744 | 334 |
| 0 | 8010 | 323 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) |
(*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) |
#s(literal -3 binary32) |
(log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) |
(/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
u |
#s(literal 3/4 binary32) |
s |
(*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) s) |
(*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) |
#s(literal -3 binary32) |
#s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u)) |
(-.f32 (log.f32 #s(literal 4/3 binary32)) u) |
(log.f32 #s(literal 4/3 binary32)) |
#s(literal 4/3 binary32) |
u |
s |
(*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) |
#s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) |
(*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s)) |
(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) |
(neg.f32 s) |
s |
#s(literal 3 binary32) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) s) |
(*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) |
#s(literal -3 binary32) |
(log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u))))) |
(neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))) |
(/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u))) |
(fma.f32 u u #s(literal -1/16 binary32)) |
u |
#s(literal -1/16 binary32) |
(*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)) |
#s(literal 3/4 binary32) |
(+.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
s |
(*.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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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 (-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
(log1p.f32 (-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32))) |
(-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32)) |
(*.f32 u #s(literal 4/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal 1/3 binary32) |
(log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) |
#s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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) |
| Outputs |
|---|
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 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 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) |
(*.f32 #s(literal -3 binary32) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) |
#s(literal -3 binary32) |
(log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) |
(log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) |
(/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)) |
(-.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
u |
#s(literal 3/4 binary32) |
s |
(*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) s) |
(*.f32 #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u)) (*.f32 #s(literal -3 binary32) s)) |
(*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) |
#s(literal -3 binary32) |
#s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u)) |
(-.f32 (log.f32 #s(literal 4/3 binary32)) u) |
(log.f32 #s(literal 4/3 binary32)) |
#s(literal 4/3 binary32) |
u |
s |
(*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) |
(*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) |
#s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) |
#s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) (neg.f32 s))) |
(*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s)) |
(*.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) (neg.f32 s)) |
(log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 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 4/3 binary32)) |
u |
#s(literal -4/3 binary32) |
#s(literal 4/3 binary32) |
(neg.f32 s) |
s |
#s(literal 3 binary32) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) s) |
(*.f32 (log1p.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (fma.f32 u #s(literal -3/4 binary32) #s(literal -3/16 binary32)))) (*.f32 #s(literal -3 binary32) s)) |
(*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) |
(*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (fma.f32 u #s(literal -3/4 binary32) #s(literal -3/16 binary32))))) |
#s(literal -3 binary32) |
(log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u))))) |
(log1p.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (fma.f32 u #s(literal -3/4 binary32) #s(literal -3/16 binary32)))) |
(neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))) |
(/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (fma.f32 u #s(literal -3/4 binary32) #s(literal -3/16 binary32))) |
(/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u))) |
(/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (fma.f32 u #s(literal 3/4 binary32) #s(literal 3/16 binary32))) |
(fma.f32 u u #s(literal -1/16 binary32)) |
u |
#s(literal -1/16 binary32) |
(*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)) |
(fma.f32 u #s(literal 3/4 binary32) #s(literal 3/16 binary32)) |
#s(literal 3/4 binary32) |
(+.f32 #s(literal 1/4 binary32) u) |
#s(literal 1/4 binary32) |
s |
(*.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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) |
(*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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 s #s(literal 3 binary32)) |
#s(literal 3 binary32) |
s |
(-.f32 (log1p.f32 (-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
(log1p.f32 (-.f32 (*.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))) |
(-.f32 (*.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)) |
(*.f32 u #s(literal 4/3 binary32)) |
u |
#s(literal 4/3 binary32) |
#s(literal 1/3 binary32) |
(log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) |
#s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3209762695368841 | (*.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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) | |
| accuracy | 0.352226269536884 | (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) | |
| accuracy | 0.8283422080539966 | (-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32)) | |
| accuracy | 0.9292906516396262 | (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) | |
| accuracy | 0.26171875 | (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) | |
| accuracy | 0.33939129109026733 | (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u))))) | |
| accuracy | 0.34765625 | (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)) | |
| accuracy | 0.359375 | (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u))) | |
| accuracy | 0.25 | (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s)) | |
| accuracy | 0.328125 | (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) | |
| accuracy | 0.33203125 | (*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) | |
| accuracy | 0.788283256271777 | (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) | |
| accuracy | 0.26171875 | (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) | |
| accuracy | 1.0 | (log.f32 #s(literal 4/3 binary32)) | |
| accuracy | 1.2201488245005254 | (-.f32 (log.f32 #s(literal 4/3 binary32)) u) | |
| accuracy | 23.85619517503195 | #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u)) | |
| accuracy | 0 | (-.f32 #s(literal 1/4 binary32) u) | |
| accuracy | 0.25 | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) | |
| accuracy | 0.26171875 | (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) | |
| accuracy | 0.33939129109026733 | (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) |
| 149.0ms | 256× | 0 | valid |
Compiled 342 to 60 computations (82.5% saved)
const: 38.0ms (30.6% of total)ival-mult: 36.0ms (28.9% of total)ival-add: 18.0ms (14.5% of total)ival-log1p: 13.0ms (10.5% of total)ival-sub: 5.0ms (4% of total)ival-log: 5.0ms (4% of total)ival-neg: 5.0ms (4% of total)ival-div: 4.0ms (3.2% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) (patch (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) (patch (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) s) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) (patch (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) #<representation binary32>) () ()) |
#s(alt #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u)) (patch #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u)) #<representation binary32>) () ()) |
#s(alt (-.f32 (log.f32 #s(literal 4/3 binary32)) u) (patch (-.f32 (log.f32 #s(literal 4/3 binary32)) u) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) (patch (*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) (patch #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) #<representation binary32>) () ()) |
#s(alt (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s)) (patch (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s)) #<representation binary32>) () ()) |
#s(alt (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (patch (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) #<representation binary32>) () ()) |
#s(alt (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))) (patch (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)) (patch (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) s) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) (patch (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) #<representation binary32>) () ()) |
#s(alt (-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32)) (patch (-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32)) #<representation binary32>) () ()) |
#s(alt (*.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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) (patch (*.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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 3 binary32) s) (patch (*.f32 #s(literal 3 binary32) s) #<representation binary32>) () ()) |
#s(alt (-.f32 (log1p.f32 (-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) (patch (-.f32 (log1p.f32 (-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) #<representation binary32>) () ()) |
#s(alt (-.f32 #s(literal 1/4 binary32) u) (patch (-.f32 #s(literal 1/4 binary32) u) #<representation binary32>) () ()) |
#s(alt (log.f32 #s(literal 4/3 binary32)) (patch (log.f32 #s(literal 4/3 binary32)) #<representation binary32>) () ()) |
#s(alt (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) (patch (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u))) (patch (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u))))) (patch (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u))))) #<representation binary32>) () ()) |
#s(alt (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) (patch (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)) #<representation binary32>) () ()) |
#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt 1/3 (taylor 0 u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1/3 (* -4/3 u)) (taylor 0 u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1/3 (* -4/3 u)) (taylor 0 u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1/3 (* -4/3 u)) (taylor 0 u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -4/3 u) (taylor inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* u (- (* 1/3 (/ 1 u)) 4/3)) (taylor inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* u (- (* 1/3 (/ 1 u)) 4/3)) (taylor inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* u (- (* 1/3 (/ 1 u)) 4/3)) (taylor inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -4/3 u) (taylor -inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u))))) (taylor -inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u))))) (taylor -inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u))))) (taylor -inf u) (#s(alt (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) (patch (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -3 (* s (log 4/3))) (taylor 0 u) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -3 (* s (log 4/3))) (* 3 (* s u))) (taylor 0 u) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) (taylor 0 u) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))) (taylor 0 u) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (taylor inf u) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u))) (taylor inf u) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u)))) (taylor inf u) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3))))) (taylor inf u) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (taylor -inf u) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u))) (taylor -inf u) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u))) (taylor -inf u) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u))) (taylor -inf u) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) (taylor 0 s) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) (taylor 0 s) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) (taylor 0 s) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) (taylor 0 s) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) (taylor inf s) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) (taylor inf s) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
#s(alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) (taylor inf s) (#s(alt (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) (patch (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) #<representation binary32>) () ())) ()) |
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#s(alt (+ (log 8/9) (* u (+ 1 (* -5/2 u)))) (taylor 0 u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log 8/9) (* u (+ 1 (* u (- (* 7/3 u) 5/2))))) (taylor 0 u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -16/9) (* -2 (log (/ 1 u)))) (taylor inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log -16/9) (* -2 (log (/ 1 u)))) (* 1/2 (/ 1 u))) (taylor inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) (taylor inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log -16/9) (+ (* -2 (log (/ 1 u))) (* -1 (/ (+ 5/8 (* 7/24 (/ 1 u))) (pow u 2))))) (* 1/2 (/ 1 u))) (taylor inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -16/9) (* -2 (log (/ -1 u)))) (taylor -inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u))) (taylor -inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) (taylor -inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (+ (/ 7/24 (pow u 2)) (* 5/8 (/ 1 u)))) u)))) (taylor -inf u) (#s(alt (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (patch (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #<representation binary32>) () ())) ()) |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | s | @ | 0 | (* (* -3 (log (+ 1 (neg (/ (+ (* u u) -1/16) (* 3/4 (+ 1/4 u))))))) s) |
| 26.0ms | s | @ | 0 | (* (log (+ (* u -4/3) 4/3)) (neg s)) |
| 25.0ms | s | @ | 0 | (* (* -3 (log (+ 1 (/ (- 1/4 u) 3/4)))) s) |
| 3.0ms | u | @ | 0 | (- (log 4/3) u) |
| 1.0ms | s | @ | inf | (* (* -3 (log (+ 1 (/ (- 1/4 u) 3/4)))) s) |
| 1× | egg-herbie |
| 9 690× | lower-fma.f64 |
| 9 690× | lower-fma.f32 |
| 4 546× | lower-+.f64 |
| 4 546× | lower-+.f32 |
| 3 798× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 386 | 4816 |
| 1 | 1097 | 4532 |
| 2 | 2964 | 4290 |
| 3 | 7916 | 4290 |
| 0 | 8213 | 3933 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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))))) |
(* -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))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(* -3 (log 4/3)) |
(+ (* -3 (log 4/3)) (* 3 u)) |
(+ (* -3 (log 4/3)) (* u (+ 3 (* 3/2 u)))) |
(+ (* -3 (log 4/3)) (* u (+ 3 (* u (+ 3/2 u))))) |
(* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) |
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (* 3 (/ 1 u))) |
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2)))) |
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (+ (/ 1 (pow u 3)) (/ 3/2 (pow u 2))))) |
(* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) |
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* 3 (/ 1 u))) |
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2)))) |
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 u)) u)) 3) 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 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))) |
(* -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 (log 4/3)) |
(+ (* -3 (log 4/3)) (* 3 u)) |
(+ (* -3 (log 4/3)) (* u (+ 3 (* 3/2 u)))) |
(+ (* -3 (log 4/3)) (* u (+ 3 (* u (+ 3/2 u))))) |
(* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) |
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (* 3 (/ 1 u))) |
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2)))) |
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (+ (/ 1 (pow u 3)) (/ 3/2 (pow u 2))))) |
(* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) |
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* 3 (/ 1 u))) |
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2)))) |
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 u)) u)) 3) 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)))) |
(log 4/3) |
(+ (log 4/3) (* -1 u)) |
(+ (log 4/3) (* -1 u)) |
(+ (log 4/3) (* -1 u)) |
(* -1 u) |
(* u (- (/ (log 4/3) u) 1)) |
(* u (- (/ (log 4/3) u) 1)) |
(* u (- (/ (log 4/3) u) 1)) |
(* -1 u) |
(* -1 (* u (+ 1 (* -1 (/ (log 4/3) u))))) |
(* -1 (* u (+ 1 (* -1 (/ (log 4/3) u))))) |
(* -1 (* u (+ 1 (* -1 (/ (log 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 (* 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 (* 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 (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))))) |
(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)))) |
1/3 |
(+ 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))))) |
3/16 |
(+ 3/16 (* 3/4 u)) |
(+ 3/16 (* 3/4 u)) |
(+ 3/16 (* 3/4 u)) |
(* 3/4 u) |
(* u (+ 3/4 (* 3/16 (/ 1 u)))) |
(* u (+ 3/4 (* 3/16 (/ 1 u)))) |
(* u (+ 3/4 (* 3/16 (/ 1 u)))) |
(* 3/4 u) |
(* u (+ 3/4 (* 3/16 (/ 1 u)))) |
(* u (+ 3/4 (* 3/16 (/ 1 u)))) |
(* u (+ 3/4 (* 3/16 (/ 1 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))) |
(* -3 (* s (log (- 1 (* 4/3 (/ (- (pow u 2) 1/16) (+ 1/4 u))))))) |
(* -3 (* s (log (- 1 (* 4/3 (/ (- (pow u 2) 1/16) (+ 1/4 u))))))) |
(* -3 (* s (log (- 1 (* 4/3 (/ (- (pow u 2) 1/16) (+ 1/4 u))))))) |
(* -3 (* s (log (- 1 (* 4/3 (/ (- (pow u 2) 1/16) (+ 1/4 u))))))) |
(* -3 (* s (log (- 1 (* 4/3 (/ (- (pow u 2) 1/16) (+ 1/4 u))))))) |
(* -3 (* s (log (- 1 (* 4/3 (/ (- (pow u 2) 1/16) (+ 1/4 u))))))) |
(* -3 (* s (log (- 1 (* 4/3 (/ (- (pow u 2) 1/16) (+ 1/4 u))))))) |
(* -3 (* s (log (- 1 (* 4/3 (/ (- (pow u 2) 1/16) (+ 1/4 u))))))) |
(* -3 (* s (log (- 1 (* 4/3 (/ (- (pow u 2) 1/16) (+ 1/4 u))))))) |
(* -3 (* s (log (- 1 (* 4/3 (/ (- (pow u 2) 1/16) (+ 1/4 u))))))) |
(* -3 (* s (log (- 1 (* 4/3 (/ (- (pow u 2) 1/16) (+ 1/4 u))))))) |
(* -3 (* s (log (- 1 (* 4/3 (/ (- (pow u 2) 1/16) (+ 1/4 u))))))) |
(* -3 (log 4/3)) |
(+ (* -3 (log 4/3)) (* 3 u)) |
(+ (* -3 (log 4/3)) (* u (+ 3 (* 3/2 u)))) |
(+ (* -3 (log 4/3)) (* u (+ 3 (* u (+ 3/2 u))))) |
(* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) |
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (* 3 (/ 1 u))) |
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2)))) |
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (+ (/ 1 (pow u 3)) (/ 3/2 (pow u 2))))) |
(* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) |
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* 3 (/ 1 u))) |
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2)))) |
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 u)) u)) 3) 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))) |
(* 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))))) |
1/4 |
(+ 1/4 (* -1 u)) |
(+ 1/4 (* -1 u)) |
(+ 1/4 (* -1 u)) |
(* -1 u) |
(* u (- (* 1/4 (/ 1 u)) 1)) |
(* u (- (* 1/4 (/ 1 u)) 1)) |
(* u (- (* 1/4 (/ 1 u)) 1)) |
(* -1 u) |
(* -1 (* u (- 1 (* 1/4 (/ 1 u))))) |
(* -1 (* u (- 1 (* 1/4 (/ 1 u))))) |
(* -1 (* u (- 1 (* 1/4 (/ 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))))) |
-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)))) |
| Outputs |
|---|
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* -4/3 u)) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)) |
(+ 1/3 (* -4/3 u)) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)) |
(+ 1/3 (* -4/3 u)) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)) |
(* -4/3 u) |
(*.f32 #s(literal -4/3 binary32) u) |
(* u (- (* 1/3 (/ 1 u)) 4/3)) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)) |
(* u (- (* 1/3 (/ 1 u)) 4/3)) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)) |
(* u (- (* 1/3 (/ 1 u)) 4/3)) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)) |
(* -4/3 u) |
(*.f32 #s(literal -4/3 binary32) u) |
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u))))) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)) |
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u))))) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)) |
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u))))) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)) |
(* -3 (* s (log 4/3))) |
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32)))) |
(+ (* -3 (* s (log 4/3))) (* 3 (* s u))) |
(*.f32 s (fma.f32 u #s(literal 3 binary32) (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))))) |
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s)))) |
(fma.f32 u (*.f32 s (fma.f32 u #s(literal 3/2 binary32) #s(literal 3 binary32))) (*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))))) |
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))) |
(fma.f32 s (fma.f32 u #s(literal 3 binary32) (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32)))) (*.f32 (*.f32 u (*.f32 u s)) (+.f32 u #s(literal 3/2 binary32)))) |
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) |
(*.f32 (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)) (*.f32 #s(literal -3 binary32) s)) |
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s 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 -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u)))) |
(fma.f32 #s(literal -3 binary32) (*.f32 s (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u))) (*.f32 (/.f32 s u) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3/2 binary32) u)))) |
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3))))) |
(fma.f32 (+.f32 (log.f32 #s(literal -4/3 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 4/3) (* -1 (log (/ -1 u)))))) |
(*.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u)))) (*.f32 #s(literal -3 binary32) s)) |
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u))) |
(*.f32 s (fma.f32 #s(literal -3 binary32) (-.f32 (log.f32 #s(literal 4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u)))) (/.f32 #s(literal 3 binary32) u))) |
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u))) |
(fma.f32 s (*.f32 #s(literal -3 binary32) (-.f32 (log.f32 #s(literal 4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u))))) (/.f32 (fma.f32 s #s(literal 3 binary32) (/.f32 (*.f32 s #s(literal 3/2 binary32)) u)) u)) |
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u))) |
(fma.f32 s (*.f32 #s(literal -3 binary32) (-.f32 (log.f32 #s(literal 4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u))))) (/.f32 (-.f32 (*.f32 #s(literal -3 binary32) s) (/.f32 (fma.f32 s #s(literal 3/2 binary32) (/.f32 s u)) u)) (neg.f32 u))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)))) |
(* -3 (log 4/3)) |
(*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))) |
(+ (* -3 (log 4/3)) (* 3 u)) |
(fma.f32 u #s(literal 3 binary32) (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32)))) |
(+ (* -3 (log 4/3)) (* u (+ 3 (* 3/2 u)))) |
(fma.f32 u (fma.f32 u #s(literal 3/2 binary32) #s(literal 3 binary32)) (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32)))) |
(+ (* -3 (log 4/3)) (* u (+ 3 (* u (+ 3/2 u))))) |
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(log 4/3) |
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(log 4/3) |
(log.f32 #s(literal 4/3 binary32)) |
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(log 4/3) |
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1/3 |
#s(literal 1/3 binary32) |
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3/16 |
#s(literal 3/16 binary32) |
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(+.f32 (log.f32 #s(literal 4/3 binary32)) (-.f32 (neg.f32 (log.f32 u)) (log.f32 #s(literal -16/9 binary32)))) |
(- (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (/ 1 u))) (+ (log -16/9) (* -2 (log (/ 1 u))))) |
(+.f32 (log.f32 #s(literal 4/3 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u) (-.f32 (neg.f32 (log.f32 u)) (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 (log.f32 #s(literal 4/3 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u) (-.f32 (neg.f32 (log.f32 u)) (log.f32 #s(literal -16/9 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 u 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))))) |
(+.f32 (log.f32 #s(literal 4/3 binary32)) (+.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))))) (-.f32 (neg.f32 (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 (log.f32 #s(literal -4/3 binary32)) (fma.f32 (neg.f32 (log.f32 (neg.f32 u))) #s(literal 1 binary32) (neg.f32 (log.f32 #s(literal -16/9 binary32))))) |
(- (+ (log -4/3) (+ (* -1 (log (/ -1 u))) (/ 1 u))) (+ (log -16/9) (* -2 (log (/ -1 u))))) |
(+.f32 (log.f32 #s(literal -4/3 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u) (fma.f32 (neg.f32 (log.f32 (neg.f32 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 (log.f32 #s(literal -4/3 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u u)) (+.f32 (/.f32 #s(literal 1 binary32) u) (fma.f32 (neg.f32 (log.f32 (neg.f32 u))) #s(literal 1 binary32) (neg.f32 (log.f32 #s(literal -16/9 binary32))))))) |
(- (+ (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 (log.f32 #s(literal -4/3 binary32)) (fma.f32 (neg.f32 (log.f32 (neg.f32 u))) #s(literal 1 binary32) (neg.f32 (log.f32 #s(literal -16/9 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u)) u)) u)) |
1/4 |
#s(literal 1/4 binary32) |
(+ 1/4 (* -1 u)) |
(-.f32 #s(literal 1/4 binary32) u) |
(+ 1/4 (* -1 u)) |
(-.f32 #s(literal 1/4 binary32) u) |
(+ 1/4 (* -1 u)) |
(-.f32 #s(literal 1/4 binary32) u) |
(* -1 u) |
(neg.f32 u) |
(* u (- (* 1/4 (/ 1 u)) 1)) |
(-.f32 #s(literal 1/4 binary32) u) |
(* u (- (* 1/4 (/ 1 u)) 1)) |
(-.f32 #s(literal 1/4 binary32) u) |
(* u (- (* 1/4 (/ 1 u)) 1)) |
(-.f32 #s(literal 1/4 binary32) u) |
(* -1 u) |
(neg.f32 u) |
(* -1 (* u (- 1 (* 1/4 (/ 1 u))))) |
(-.f32 #s(literal 1/4 binary32) u) |
(* -1 (* u (- 1 (* 1/4 (/ 1 u))))) |
(-.f32 #s(literal 1/4 binary32) u) |
(* -1 (* u (- 1 (* 1/4 (/ 1 u))))) |
(-.f32 #s(literal 1/4 binary32) u) |
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)) |
-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)))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
(* u (- 4/3 (* 1/3 (/ 1 u)))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
(* u (- 4/3 (* 1/3 (/ 1 u)))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
(* 4/3 u) |
(*.f32 u #s(literal 4/3 binary32)) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
(* -1 (* u (- (* 1/3 (/ 1 u)) 4/3))) |
(fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32)) |
(log 4/3) |
(log.f32 #s(literal 4/3 binary32)) |
(+ (log 4/3) (* -1 u)) |
(-.f32 (log.f32 #s(literal 4/3 binary32)) u) |
(+ (log 4/3) (* u (- (* -1/2 u) 1))) |
(fma.f32 u (fma.f32 u #s(literal -1/2 binary32) #s(literal -1 binary32)) (log.f32 #s(literal 4/3 binary32))) |
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1))) |
(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 4/3 binary32))) |
(+ (log -4/3) (* -1 (log (/ 1 u)))) |
(+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)) |
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u)) |
(+.f32 (log.f32 #s(literal -4/3 binary32)) (+.f32 (log.f32 u) (/.f32 #s(literal -1 binary32) u))) |
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))) |
(+.f32 (log.f32 u) (+.f32 (log.f32 #s(literal -4/3 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u)) u))) |
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u)) |
(+.f32 (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u) #s(literal 1/2 binary32)) u)) u)) |
(+ (log 4/3) (* -1 (log (/ -1 u)))) |
(-.f32 (log.f32 #s(literal 4/3 binary32)) (neg.f32 (log.f32 (neg.f32 u)))) |
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u)) |
(-.f32 (log.f32 #s(literal 4/3 binary32)) (+.f32 (neg.f32 (log.f32 (neg.f32 u))) (/.f32 #s(literal 1 binary32) u))) |
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))) |
(-.f32 (log.f32 #s(literal 4/3 binary32)) (+.f32 (neg.f32 (log.f32 (neg.f32 u))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u)) u))) |
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u)))) |
(-.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u) (/.f32 #s(literal 1/3 binary32) (*.f32 u u)))) u)) (neg.f32 (log.f32 (neg.f32 u)))) |
-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 (*.f32 u u) #s(literal -16/9 binary32)) |
(* (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 (*.f32 u u) #s(literal -16/9 binary32)) |
(* (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 #s(literal 8/9 binary32) (/.f32 #s(literal -1/9 binary32) u)) 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 #s(literal 8/9 binary32) (/.f32 #s(literal -1/9 binary32) u)) 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)))) |
(+.f32 (log.f32 #s(literal -16/9 binary32)) (fma.f32 (log.f32 u) #s(literal 2 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 (log.f32 u) #s(literal 2 binary32) (log.f32 #s(literal -16/9 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) u) (+.f32 (/.f32 (+.f32 #s(literal 5/8 binary32) (/.f32 #s(literal 7/24 binary32) u)) u) #s(literal 1/2 binary32)))) |
(+ (log -16/9) (* -2 (log (/ -1 u)))) |
(fma.f32 (neg.f32 (log.f32 (neg.f32 u))) #s(literal -2 binary32) (log.f32 #s(literal -16/9 binary32))) |
(- (+ (log -16/9) (* -2 (log (/ -1 u)))) (* 1/2 (/ 1 u))) |
(fma.f32 (neg.f32 (log.f32 (neg.f32 u))) #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -16/9 binary32)) (/.f32 #s(literal -1/2 binary32) u))) |
(+ (log -16/9) (+ (* -2 (log (/ -1 u))) (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u))) u)))) |
(+.f32 (log.f32 #s(literal -16/9 binary32)) (fma.f32 (neg.f32 (log.f32 (neg.f32 u))) #s(literal -2 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 (neg.f32 (log.f32 (neg.f32 u))) #s(literal -2 binary32) (-.f32 (log.f32 #s(literal -16/9 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 5/8 binary32) u) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/24 binary32) (*.f32 u u)))) u))) |
| 4 588× | lower-/.f64 |
| 4 584× | lower-/.f32 |
| 4 544× | lower-fma.f64 |
| 4 536× | lower-fma.f32 |
| 3 568× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 302 |
| 0 | 101 | 277 |
| 1 | 396 | 247 |
| 2 | 2955 | 245 |
| 0 | 9609 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) |
(*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) |
(log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) |
(*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) s) |
(*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) |
#s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u)) |
(-.f32 (log.f32 #s(literal 4/3 binary32)) u) |
(*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) |
#s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) |
(*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s)) |
(log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) |
(neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))) |
(*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) s) |
(*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) |
(-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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 (-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
(-.f32 #s(literal 1/4 binary32) u) |
(log.f32 #s(literal 4/3 binary32)) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) |
(/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u))) |
(log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 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)) |
(log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) |
| Outputs |
|---|
(neg.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))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1/4 binary32) u))) #s(literal -1 binary32))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -1 binary32))) |
(+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32)) |
(+.f32 #s(literal 0 binary32) (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 u #s(literal -4/3 binary32))) #s(literal 1/3 binary32)) |
(+.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -1 binary32)) #s(literal 1/3 binary32)) |
(+.f32 (*.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1 binary32)) #s(literal 1/3 binary32)) |
(pow.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1/4 binary32) u)) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1/4 binary32) u)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (neg.f32 (fma.f32 u #s(literal 3/4 binary32) #s(literal 3/16 binary32))) (fma.f32 u u #s(literal -1/16 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 u #s(literal 3/4 binary32) #s(literal 3/16 binary32)) (neg.f32 (fma.f32 u u #s(literal -1/16 binary32)))) #s(literal -1 binary32)) |
(fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32)) |
(fma.f32 #s(literal 4/3 binary32) (neg.f32 u) #s(literal 1/3 binary32)) |
(fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32)) |
(fma.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -1 binary32) #s(literal 1/3 binary32)) |
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(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))))) |
(+.f32 (log1p.f32 (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (-.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (-.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #s(literal 1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))))) |
(-.f32 (log1p.f32 (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) (log1p.f32 (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (-.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) (log.f32 (fma.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (-.f32 #s(literal 1 binary32) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))))) |
(-.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) (log1p.f32 (neg.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) |
(-.f32 (log.f32 (neg.f32 (fma.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) (-.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))))) |
(-.f32 (log.f32 (-.f32 (*.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))) #s(literal 1 binary32))) (log.f32 (-.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))) #s(literal 1 binary32)))) |
(log.f32 (+.f32 #s(literal 1 binary32) #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))) |
Compiled 29 703 to 3 900 computations (86.9% saved)
29 alts after pruning (24 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 332 | 8 | 1 340 |
| Fresh | 8 | 16 | 24 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 2 | 4 |
| Total | 1 344 | 29 | 1 373 |
| 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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32))))))) | |
| 96.8% | (/.f32 (*.f32 (-.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))) (*.f32 #s(literal 3 binary32) s)) (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 (fma.f32 #s(literal 16/9 binary32) u #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 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 2 binary32)))) | |
| 97.7% | (/.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))))) | |
| 98.4% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) | |
| 97.9% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 3/4 binary32) (+.f32 u #s(literal -1/4 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)) | |
| ✓ | 97.0% | (*.f32 (*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) #s(literal 3 binary32)) |
| 98.1% | (*.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) #s(literal -3 binary32)) s) | |
| 98.0% | (*.f32 (*.f32 s (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) #s(literal -3 binary32)) | |
| 25.8% | (*.f32 (*.f32 s #s(approx (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) #s(literal 3 binary32)) | |
| 98.1% | (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) | |
| 98.3% | (*.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))))) | |
| ✓ | 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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) |
| 97.0% | (*.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))))) | |
| ✓ | 97.5% | (*.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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (fma.f32 u (fma.f32 u #s(literal -16/9 binary32) #s(literal 8/9 binary32)) #s(literal -1/9 binary32)))))) |
| 95.9% | (*.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))))) | |
| 96.0% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ (- u 1/4) 3/4)) (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)))))) | |
| 95.4% | (*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 #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))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))))) | |
| 25.8% | (*.f32 (*.f32 #s(literal 3 binary32) s) #s(approx (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) | |
| ✓ | 98.5% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) |
| 97.1% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 16/9 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 u u))) u) (-.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) s) | |
| 97.0% | (*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal -1/3 binary32)))) s) | |
| 29.9% | (*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) #s(approx (- (log 4/3) u) (neg.f32 u)))) s) | |
| 96.3% | (*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))) (neg.f32 s))) #s(literal 3 binary32)) | |
| ✓ | 96.5% | (*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) |
| 95.9% | (*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (/.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) #s(literal -16/9 binary32)) (fma.f32 u #s(literal -4/3 binary32) #s(literal -4/3 binary32)))) (neg.f32 s))) #s(literal 3 binary32)) | |
| 95.3% | (*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 u #s(literal 4/3 binary32))) #s(literal -1/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) | |
| 96.5% | #s(approx (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) | |
| 96.9% | #s(approx (* (* -3 (log (+ 1 (neg (/ (+ (* u u) -1/16) (* 3/4 (+ 1/4 u))))))) s) (*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (/.f32 (fma.f32 #s(literal -4/3 binary32) (*.f32 u u) #s(literal 1/12 binary32)) (+.f32 u #s(literal 1/4 binary32)))))) |
Compiled 1 706 to 674 computations (60.5% saved)
| Inputs |
|---|
(*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) #s(approx (- (log 4/3) u) (neg.f32 u)))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
(*.f32 (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) |
#s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s))) |
#s(approx (* (* 3 s) (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1)))) (*.f32 #s(literal 3 binary32) (*.f32 s (+.f32 u (log.f32 #s(literal 3/4 binary32)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) #s(approx (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) #s(approx (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) |
(*.f32 (*.f32 s #s(approx (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u #s(literal -4/3 binary32))))) s) |
#s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32))))) |
#s(approx (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
#s(approx (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))))) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.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 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 s (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) #s(literal -3 binary32)) |
(*.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) #s(literal -3 binary32)) s) |
(*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) #s(literal 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) (log1p.f32 (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal -1/3 binary32)))) s) |
(*.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 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))) (neg.f32 s))) #s(literal 3 binary32)) |
(*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 u #s(literal 4/3 binary32))) #s(literal -1/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ (- u 1/4) 3/4)) (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 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) #s(literal 3 binary32)) |
#s(approx (* (* -3 (log (+ 1 (neg (/ (+ (* u u) -1/16) (* 3/4 (+ 1/4 u))))))) s) (*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (/.f32 (fma.f32 #s(literal -4/3 binary32) (*.f32 u u) #s(literal 1/12 binary32)) (+.f32 u #s(literal 1/4 binary32)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) s) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 3/4 binary32) (+.f32 u #s(literal -1/4 binary32)))))) #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 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (/.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) #s(literal -16/9 binary32)) (fma.f32 u #s(literal -4/3 binary32) #s(literal -4/3 binary32)))) (neg.f32 s))) #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(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 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 #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))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (/.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 (neg.f32 s) (neg.f32 (log.f32 (/.f32 (+.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (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)))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 16/9 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 u u))) u) (-.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) s) |
(*.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 (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 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.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 (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 (*.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 (fma.f32 (/.f32 #s(literal 1 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 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 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 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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 (-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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))) (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 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))))))) |
(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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 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 (*.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 (*.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))))) |
(*.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 (neg.f32 s) (-.f32 (log1p.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)) #s(literal -64/27 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))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)))))) #s(literal 3 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 #s(literal 3 binary32) s) (-.f32 (log.f32 (*.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 (*.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)))) (log1p.f32 (*.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)))))) |
(/.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 (*.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 (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))) (*.f32 #s(literal 3 binary32) s)) (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 (fma.f32 #s(literal 16/9 binary32) u #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 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) #s(literal 2 binary32)))) |
| Outputs |
|---|
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) (*.f32 #s(literal 16/9 binary32) (+.f32 u #s(literal -1/4 binary32))))))) |
9 calls:
| 38.0ms | s |
| 37.0ms | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 29.0ms | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 24.0ms | (*.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)))))) |
| 21.0ms | (-.f32 u #s(literal 1/4 binary32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | s |
| 98.6% | 1 | u |
| 98.6% | 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)))))) |
| 98.6% | 1 | (*.f32 #s(literal 3 binary32) s) |
| 98.6% | 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))))) |
| 98.6% | 1 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 98.6% | 1 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 98.6% | 1 | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 98.6% | 1 | (-.f32 u #s(literal 1/4 binary32)) |
Compiled 71 to 58 computations (18.3% saved)
| Inputs |
|---|
(*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) #s(approx (- (log 4/3) u) (neg.f32 u)))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
(*.f32 (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) |
#s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s))) |
#s(approx (* (* 3 s) (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1)))) (*.f32 #s(literal 3 binary32) (*.f32 s (+.f32 u (log.f32 #s(literal 3/4 binary32)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) #s(approx (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) #s(approx (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) |
(*.f32 (*.f32 s #s(approx (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u #s(literal -4/3 binary32))))) s) |
#s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32))))) |
#s(approx (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
#s(approx (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))))) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.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 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 s (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) #s(literal -3 binary32)) |
(*.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) #s(literal -3 binary32)) s) |
(*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) #s(literal 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) (log1p.f32 (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal -1/3 binary32)))) s) |
(*.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 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))) (neg.f32 s))) #s(literal 3 binary32)) |
(*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 u #s(literal 4/3 binary32))) #s(literal -1/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ (- u 1/4) 3/4)) (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 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))))) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))))) #s(literal 3 binary32)) |
#s(approx (* (* -3 (log (+ 1 (neg (/ (+ (* u u) -1/16) (* 3/4 (+ 1/4 u))))))) s) (*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (/.f32 (fma.f32 #s(literal -4/3 binary32) (*.f32 u u) #s(literal 1/12 binary32)) (+.f32 u #s(literal 1/4 binary32)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 (/.f32 (fma.f32 u u #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (+.f32 #s(literal 1/4 binary32) u)))))) s) |
(*.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 3/4 binary32) (+.f32 u #s(literal -1/4 binary32)))))) #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 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (/.f32 (fma.f32 #s(literal 16/9 binary32) (*.f32 u u) #s(literal -16/9 binary32)) (fma.f32 u #s(literal -4/3 binary32) #s(literal -4/3 binary32)))) (neg.f32 s))) #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(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 #s(literal 3 binary32) s) (log.f32 (*.f32 (/.f32 #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))) (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (*.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal 2/3 binary32)) (/.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 (neg.f32 s) (neg.f32 (log.f32 (/.f32 (+.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (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)))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 16/9 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 u u))) u) (-.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))) s) |
(*.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 (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 u #s(literal -1/4 binary32)) (*.f32 (+.f32 u #s(literal -1/4 binary32)) (*.f32 (+.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 (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 (*.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 (fma.f32 (/.f32 #s(literal 1 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 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 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 3 binary32) s) (-.f32 (log1p.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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 (-.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal 1/3 binary32))) (log1p.f32 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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))) (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 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))))))) |
(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 #s(approx (* (- 1/4 u) (* 16/9 (+ u -1/4))) (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) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) |
9 calls:
| 50.0ms | (*.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)))))) |
| 46.0ms | u |
| 33.0ms | (-.f32 u #s(literal 1/4 binary32)) |
| 32.0ms | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 15.0ms | (/.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 |
|---|---|---|
| 98.5% | 1 | s |
| 98.5% | 1 | u |
| 98.5% | 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)))))) |
| 98.5% | 1 | (*.f32 #s(literal 3 binary32) s) |
| 98.5% | 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))))) |
| 98.5% | 1 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 98.5% | 1 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 98.5% | 1 | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 98.5% | 1 | (-.f32 u #s(literal 1/4 binary32)) |
Compiled 71 to 58 computations (18.3% saved)
| Inputs |
|---|
(*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) #s(approx (- (log 4/3) u) (neg.f32 u)))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
(*.f32 (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) |
#s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s))) |
#s(approx (* (* 3 s) (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1)))) (*.f32 #s(literal 3 binary32) (*.f32 s (+.f32 u (log.f32 #s(literal 3/4 binary32)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) #s(approx (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) #s(approx (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) |
(*.f32 (*.f32 s #s(approx (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u #s(literal -4/3 binary32))))) s) |
#s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32))))) |
#s(approx (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
#s(approx (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))))) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.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 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 s (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) #s(literal -3 binary32)) |
(*.f32 (*.f32 (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))) #s(literal -3 binary32)) s) |
(*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))) (neg.f32 s))) #s(literal 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) (log1p.f32 (-.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal -1/3 binary32)))) s) |
(*.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 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))) (neg.f32 s))) #s(literal 3 binary32)) |
(*.f32 #s(approx (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) (*.f32 (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 u #s(literal 4/3 binary32))) #s(literal -1/3 binary32))) (neg.f32 s))) #s(literal 3 binary32)) |
| Outputs |
|---|
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) s) |
9 calls:
| 24.0ms | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 9.0ms | (*.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)))))) |
| 7.0ms | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 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))))) |
| 7.0ms | (-.f32 u #s(literal 1/4 binary32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | s |
| 98.1% | 1 | u |
| 98.1% | 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)))))) |
| 98.1% | 1 | (*.f32 #s(literal 3 binary32) s) |
| 98.1% | 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))))) |
| 98.1% | 1 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 98.1% | 1 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))) |
| 98.1% | 1 | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 98.1% | 1 | (-.f32 u #s(literal 1/4 binary32)) |
Compiled 71 to 58 computations (18.3% saved)
| Inputs |
|---|
(*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) #s(approx (- (log 4/3) u) (neg.f32 u)))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
(*.f32 (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) |
#s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s))) |
#s(approx (* (* 3 s) (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1)))) (*.f32 #s(literal 3 binary32) (*.f32 s (+.f32 u (log.f32 #s(literal 3/4 binary32)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) #s(approx (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) #s(approx (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) |
(*.f32 (*.f32 s #s(approx (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u #s(literal -4/3 binary32))))) s) |
#s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32))))) |
#s(approx (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))))) |
#s(approx (* (* (neg s) (log (+ 1 (neg (+ (* u 4/3) -1/3))))) 3) (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))))) |
| Outputs |
|---|
#s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 1/3 binary32))))) |
9 calls:
| 34.0ms | u |
| 24.0ms | s |
| 4.0ms | (-.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 #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)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | u |
| 98.1% | 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))))) |
| 98.1% | 1 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 98.1% | 1 | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 98.1% | 1 | (-.f32 u #s(literal 1/4 binary32)) |
| 98.1% | 1 | s |
| 98.1% | 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)))))) |
| 98.1% | 1 | (*.f32 #s(literal 3 binary32) s) |
| 98.1% | 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)
Total -7.8b remaining (-34.9%)
Threshold costs -7.8b (-34.9%)
| Inputs |
|---|
(*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) #s(approx (- (log 4/3) u) (neg.f32 u)))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) |
(*.f32 (*.f32 s (log.f32 #s(approx (/ 1 (- 1 (/ (- u 1/4) 3/4))) #s(literal 3/4 binary32)))) #s(literal 3 binary32)) |
#s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.f32 #s(literal 3 binary32) (*.f32 (+.f32 u (log.f32 #s(literal 3/4 binary32))) s))) |
#s(approx (* (* 3 s) (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1)))) (*.f32 #s(literal 3 binary32) (*.f32 s (+.f32 u (log.f32 #s(literal 3/4 binary32)))))) |
(*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) (-.f32 (log.f32 #s(literal 4/3 binary32)) u))) s) |
(*.f32 (*.f32 #s(literal 3 binary32) s) #s(approx (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) |
(*.f32 (*.f32 #s(literal 3 binary32) s) #s(approx (log (/ (+ (* (+ (* u 4/3) -1/3) (+ (* u 4/3) 2/3)) 1) (+ (* (* (+ u -1/4) (* (+ u -1/4) (+ u -1/4))) -64/27) 1))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) |
(*.f32 (*.f32 s #s(approx (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (+.f32 u (log.f32 #s(literal 3/4 binary32))))) #s(literal 3 binary32)) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 #s(approx (neg (+ (* u 4/3) -1/3)) (*.f32 u #s(literal -4/3 binary32))))) s) |
| Outputs |
|---|
(*.f32 (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) #s(approx (- (log 4/3) u) (neg.f32 u)))) s) |
9 calls:
| 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 (*.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 (-.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 u #s(literal 1/4 binary32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.9% | 1 | u |
| 29.9% | 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))))) |
| 29.9% | 1 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))) |
| 29.9% | 1 | (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)) |
| 29.9% | 1 | (-.f32 u #s(literal 1/4 binary32)) |
| 29.9% | 1 | s |
| 29.9% | 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)))))) |
| 29.9% | 1 | (*.f32 #s(literal 3 binary32) s) |
| 29.9% | 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)
| 1× | egg-herbie |
| 28× | *-commutative_binary32 |
| 10× | +-commutative_binary32 |
| 8× | sub-neg_binary32 |
| 4× | neg-sub0_binary32 |
| 4× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 85 |
| 1 | 78 | 85 |
| 2 | 84 | 85 |
| 3 | 87 | 85 |
| 4 | 88 | 85 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 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) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) s) |
#s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.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) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) #s(approx (- (log 4/3) u) (neg.f32 u)))) s) |
| Outputs |
|---|
(*.f32 (*.f32 #s(literal 3 binary32) s) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal -3/4 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) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s) |
(*.f32 s (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))))) |
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32)))) s) |
(*.f32 s (*.f32 #s(literal -3 binary32) (log1p.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 1/3 binary32))))) |
#s(approx (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (*.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) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) #s(approx (- (log 4/3) u) (neg.f32 u)))) s) |
(*.f32 s (*.f32 #s(literal -3 binary32) #s(approx (log (+ 1 (neg (+ (* u 4/3) -1/3)))) #s(approx (- (log 4/3) u) (neg.f32 u))))) |
| 11 808× | lower-fma.f64 |
| 11 808× | lower-fma.f32 |
| 11 430× | lower-fma.f64 |
| 11 430× | lower-fma.f32 |
| 9 690× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 5312 |
| 1 | 1359 | 5061 |
| 2 | 3716 | 4668 |
| 0 | 8137 | 4307 |
| 0 | 147 | 703 |
| 1 | 405 | 679 |
| 2 | 1026 | 630 |
| 3 | 2812 | 624 |
| 4 | 5961 | 616 |
| 0 | 8150 | 574 |
| 0 | 386 | 4816 |
| 1 | 1097 | 4532 |
| 2 | 2964 | 4290 |
| 3 | 7916 | 4290 |
| 0 | 8213 | 3933 |
| 0 | 62 | 305 |
| 0 | 101 | 305 |
| 1 | 404 | 293 |
| 2 | 3165 | 283 |
| 0 | 10039 | 263 |
| 0 | 49 | 326 |
| 0 | 87 | 297 |
| 1 | 378 | 272 |
| 2 | 3357 | 258 |
| 0 | 9397 | 246 |
| 0 | 13 | 43 |
| 0 | 20 | 41 |
| 1 | 82 | 41 |
| 2 | 500 | 40 |
| 3 | 6829 | 40 |
| 0 | 8791 | 34 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 233 to 163 computations (30% saved)
(negabs s)
Compiled 336 to 234 computations (30.4% saved)
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