
Time bar (total: 12.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 49.9% | 0.2% | 0% | 49.9% | 0% | 3 |
| 0% | 0% | 49.9% | 0.2% | 0% | 49.9% | 0% | 4 |
| 0% | 0% | 49.9% | 0.2% | 0% | 49.9% | 0% | 5 |
| 0% | 0% | 49.9% | 0.2% | 0% | 49.9% | 0% | 6 |
| 0% | 0% | 25% | 0.2% | 0% | 74.9% | 0% | 7 |
| 0% | 0% | 25% | 0.2% | 0% | 74.9% | 0% | 8 |
| 0% | 0% | 25% | 0.2% | 0% | 74.9% | 0% | 9 |
| 0% | 0% | 25% | 0.2% | 0% | 74.9% | 0% | 10 |
| 50% | 12.5% | 12.5% | 0.2% | 0% | 74.9% | 0% | 11 |
| 50% | 12.5% | 12.5% | 0.2% | 0% | 74.9% | 0% | 12 |
Compiled 15 to 14 computations (6.7% saved)
| 1.5s | 2 437× | 1 | valid |
| 663.0ms | 5 819× | 0 | valid |
| 0.0ms | 6× | 0 | invalid |
ival-log: 1.3s (73% of total)ival-mult: 203.0ms (11.4% of total)ival-sub: 134.0ms (7.5% of total)ival-add: 67.0ms (3.8% of total)adjust: 63.0ms (3.5% of total)ival-true: 7.0ms (0.4% of total)exact: 5.0ms (0.3% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 0 | - | 0 | - | (log.f64 (-.f64 #s(literal 1 binary64) y)) |
| 0 | 0 | - | 0 | - | (*.f64 x (log.f64 y)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | (log.f64 y) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (-.f64 #s(literal 1 binary64) y)) | sensitivity | 255 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 41 | 0 |
| - | 214 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 41 | 0 | 0 |
| - | 214 | 0 | 1 |
| number | freq |
|---|---|
| 0 | 1 |
| 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 157.0ms | 402× | 1 | valid |
| 37.0ms | 90× | 2 | valid |
| 2.0ms | 20× | 0 | valid |
Compiled 113 to 40 computations (64.6% saved)
ival-log: 82.0ms (61.9% of total)adjust: 15.0ms (11.3% of total)ival-mult: 15.0ms (11.3% of total)ival-sub: 14.0ms (10.6% of total)ival-add: 6.0ms (4.5% of total)ival-true: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 700× | sub-neg |
| 520× | unsub-neg |
| 508× | lower-fma.f64 |
| 508× | lower-fma.f32 |
| 494× | associate-+l- |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 196 |
| 1 | 148 | 188 |
| 2 | 371 | 185 |
| 3 | 987 | 185 |
| 4 | 1995 | 185 |
| 5 | 3007 | 185 |
| 6 | 3660 | 185 |
| 7 | 3863 | 185 |
| 8 | 3906 | 185 |
| 9 | 3916 | 185 |
| 10 | 3922 | 185 |
| 11 | 4005 | 185 |
| 12 | 4061 | 185 |
| 13 | 4085 | 185 |
| 14 | 4085 | 185 |
| 0 | 12 | 13 |
| 0 | 19 | 13 |
| 1 | 30 | 13 |
| 2 | 43 | 13 |
| 3 | 66 | 13 |
| 4 | 102 | 13 |
| 5 | 171 | 13 |
| 6 | 313 | 13 |
| 7 | 518 | 13 |
| 8 | 688 | 13 |
| 9 | 744 | 13 |
| 10 | 770 | 13 |
| 0 | 770 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
Compiled 13 to 12 computations (7.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.4% | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (log.f64 y)) | |
| cost-diff | 0 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) | |
| cost-diff | 64 | (log.f64 (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 128 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 508× | lower-fma.f64 |
| 508× | lower-fma.f32 |
| 216× | lower-*.f32 |
| 212× | lower-*.f64 |
| 160× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 0 | 19 | 48 |
| 1 | 30 | 48 |
| 2 | 43 | 48 |
| 3 | 66 | 48 |
| 4 | 102 | 48 |
| 5 | 171 | 48 |
| 6 | 313 | 48 |
| 7 | 518 | 48 |
| 8 | 688 | 48 |
| 9 | 744 | 48 |
| 10 | 770 | 48 |
| 0 | 770 | 42 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 x (log.f64 y)) |
x |
(log.f64 y) |
y |
(*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))) |
z |
(log.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
t |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) |
(*.f64 x (log.f64 y)) |
(*.f64 (log.f64 y) x) |
x |
(log.f64 y) |
y |
(*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
z |
(log.f64 (-.f64 #s(literal 1 binary64) y)) |
(log1p.f64 (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) | |
| accuracy | 0.01171875 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) | |
| accuracy | 0.3046875 | (*.f64 x (log.f64 y)) | |
| accuracy | 58.96363353390991 | (log.f64 (-.f64 #s(literal 1 binary64) y)) |
| 69.0ms | 201× | 1 | valid |
| 23.0ms | 45× | 2 | valid |
| 1.0ms | 10× | 0 | valid |
Compiled 50 to 14 computations (72% saved)
ival-log: 49.0ms (65.4% of total)adjust: 9.0ms (12% of total)ival-mult: 9.0ms (12% of total)ival-sub: 5.0ms (6.7% of total)ival-add: 2.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ()) |
#s(alt (log.f64 (-.f64 #s(literal 1 binary64) y)) (patch (log.f64 (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ()) |
#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor inf t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) (taylor inf t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) (taylor inf t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) (taylor inf t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor -inf t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) (taylor -inf t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) (taylor -inf t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) (taylor -inf t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) t) (taylor 0 z) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (taylor 0 z) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (taylor 0 z) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (taylor 0 z) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* z (log (- 1 y))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (log (- 1 y)) (/ (* x (log y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (log (- 1 y)) (/ (* x (log y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (log (- 1 y)) (/ (* x (log y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (log (- 1 y))) (taylor inf z) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) (taylor inf z) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) (taylor inf z) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) (taylor inf z) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* z (log (- 1 y))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (* x (log y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (log y) (/ (* z (log (- 1 y))) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor inf x) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) (taylor inf x) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) (taylor inf x) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) (taylor inf x) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | y | @ | 0 | ((+ (* x (log y)) (* z (log (- 1 y)))) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y))) |
| 23.0ms | x | @ | 0 | ((+ (* x (log y)) (* z (log (- 1 y)))) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y))) |
| 18.0ms | y | @ | -inf | ((+ (* x (log y)) (* z (log (- 1 y)))) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y))) |
| 17.0ms | z | @ | 0 | ((+ (* x (log y)) (* z (log (- 1 y)))) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y))) |
| 12.0ms | y | @ | inf | ((+ (* x (log y)) (* z (log (- 1 y)))) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y))) |
| 1× | egg-herbie |
| 23 678× | lower-fma.f64 |
| 23 678× | lower-fma.f32 |
| 3 698× | lower-+.f64 |
| 3 698× | lower-+.f32 |
| 3 182× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 1427 |
| 1 | 549 | 1339 |
| 2 | 1721 | 1301 |
| 3 | 5031 | 1275 |
| 0 | 8641 | 1135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* x (log y)) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(- (* x (log y)) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(* z (log (- 1 y))) |
(* z (+ (log (- 1 y)) (/ (* x (log y)) z))) |
(* z (+ (log (- 1 y)) (/ (* x (log y)) z))) |
(* z (+ (log (- 1 y)) (/ (* x (log y)) z))) |
(* z (log (- 1 y))) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (* x (log y)) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (* x (log y)) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (* x (log y)) z))))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (* x (log y)) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (* x (log y)) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (* x (log y)) t) z))))) |
(* x (log y)) |
(+ (* -1 (* y z)) (* x (log y))) |
(+ (* x (log y)) (* y (+ (* -1 z) (* -1/2 (* y z))))) |
(+ (* x (log y)) (* y (+ (* -1 z) (* y (+ (* -1/2 z) (* -1/3 (* y z))))))) |
(* -1 y) |
(* y (- (* -1/2 y) 1)) |
(* y (- (* y (- (* -1/3 y) 1/2)) 1)) |
(* y (- (* y (- (* y (- (* -1/4 y) 1/3)) 1/2)) 1)) |
(- (* x (log y)) t) |
(- (+ (* -1 (* y z)) (* x (log y))) t) |
(- (+ (* x (log y)) (* y (+ (* -1 z) (* -1/2 (* y z))))) t) |
(- (+ (* x (log y)) (* y (+ (* -1 z) (* y (+ (* -1/2 z) (* -1/3 (* y z))))))) t) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(+ (* -1 (* x (log (/ 1 y)))) (* z (+ (log -1) (* -1 (log (/ 1 y)))))) |
(+ (* -1 (* x (log (/ 1 y)))) (+ (* -1 (/ z y)) (* z (+ (log -1) (* -1 (log (/ 1 y))))))) |
(+ (* -1 (* x (log (/ 1 y)))) (+ (* -1 (/ z y)) (+ (* -1/2 (/ z (pow y 2))) (* z (+ (log -1) (* -1 (log (/ 1 y)))))))) |
(+ (* -1 (* x (log (/ 1 y)))) (+ (* -1 (/ z y)) (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/3 (/ z (pow y 3))) (* z (+ (log -1) (* -1 (log (/ 1 y))))))))) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(- (+ (log -1) (* -1 (log (/ 1 y)))) (/ 1 y)) |
(+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2))))) (/ 1 y)) |
(- (+ (* -1 (* x (log (/ 1 y)))) (* z (+ (log -1) (* -1 (log (/ 1 y)))))) t) |
(- (+ (* -1 (* x (log (/ 1 y)))) (+ (* -1 (/ z y)) (* z (+ (log -1) (* -1 (log (/ 1 y))))))) t) |
(- (+ (* -1 (* x (log (/ 1 y)))) (+ (* -1 (/ z y)) (+ (* -1/2 (/ z (pow y 2))) (* z (+ (log -1) (* -1 (log (/ 1 y)))))))) t) |
(- (+ (* -1 (* x (log (/ 1 y)))) (+ (* -1 (/ z y)) (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/3 (/ z (pow y 3))) (* z (+ (log -1) (* -1 (log (/ 1 y))))))))) t) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(+ (* -1 (* z (log (/ -1 y)))) (* x (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (* z (log (/ -1 y)))) (+ (* -1 (/ z y)) (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(+ (* -1 (* z (log (/ -1 y)))) (+ (* -1 (/ (+ z (* 1/2 (/ z y))) y)) (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(+ (* -1 (* z (log (/ -1 y)))) (+ (* -1 (/ (+ z (* -1 (/ (+ (* -1/2 z) (* -1/3 (/ z y))) y))) y)) (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (log (/ -1 y))) |
(- (* -1 (log (/ -1 y))) (/ 1 y)) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) |
(- (+ (* -1 (* z (log (/ -1 y)))) (* x (+ (log -1) (* -1 (log (/ -1 y)))))) t) |
(- (+ (* -1 (* z (log (/ -1 y)))) (+ (* -1 (/ z y)) (* x (+ (log -1) (* -1 (log (/ -1 y))))))) t) |
(- (+ (* -1 (* z (log (/ -1 y)))) (+ (* -1 (/ (+ z (* 1/2 (/ z y))) y)) (* x (+ (log -1) (* -1 (log (/ -1 y))))))) t) |
(- (+ (* -1 (* z (log (/ -1 y)))) (+ (* -1 (/ (+ z (* -1 (/ (+ (* -1/2 z) (* -1/3 (/ z y))) y))) y)) (* x (+ (log -1) (* -1 (log (/ -1 y))))))) t) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* z (log (- 1 y))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(- (* z (log (- 1 y))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (+ (log y) (/ (* z (log (- 1 y))) x))) |
(* x (+ (log y) (/ (* z (log (- 1 y))) x))) |
(* x (+ (log y) (/ (* z (log (- 1 y))) x))) |
(* x (log y)) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
| Outputs |
|---|
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* -1 t) |
(neg.f64 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(- (* x (log y)) t) |
(fma.f64 (log.f64 y) x (neg.f64 t)) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(* z (+ (log (- 1 y)) (/ (* x (log y)) z))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(* z (+ (log (- 1 y)) (/ (* x (log y)) z))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(* z (+ (log (- 1 y)) (/ (* x (log y)) z))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (* x (log y)) z))))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (* x (log y)) z))))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (* x (log y)) z))))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (* x (log y)) t) z))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (* x (log y)) t) z))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (* x (log y)) t) z))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(+ (* -1 (* y z)) (* x (log y))) |
(fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)) |
(+ (* x (log y)) (* y (+ (* -1 z) (* -1/2 (* y z))))) |
(fma.f64 (log.f64 y) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) z) y)) |
(+ (* x (log y)) (* y (+ (* -1 z) (* y (+ (* -1/2 z) (* -1/3 (* y z))))))) |
(fma.f64 (log.f64 y) x (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) z) y (neg.f64 z)) y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1/2 y) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y) |
(* y (- (* y (- (* -1/3 y) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(* y (- (* y (- (* y (- (* -1/4 y) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(- (* x (log y)) t) |
(fma.f64 (log.f64 y) x (neg.f64 t)) |
(- (+ (* -1 (* y z)) (* x (log y))) t) |
(fma.f64 (log.f64 y) x (neg.f64 (fma.f64 z y t))) |
(- (+ (* x (log y)) (* y (+ (* -1 z) (* -1/2 (* y z))))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y) (neg.f64 t))) |
(- (+ (* x (log y)) (* y (+ (* -1 z) (* y (+ (* -1/2 z) (* -1/3 (* y z))))))) t) |
(fma.f64 (log.f64 y) x (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) z) y (neg.f64 z)) y (neg.f64 t))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(+ (* -1 (* x (log (/ 1 y)))) (* z (+ (log -1) (* -1 (log (/ 1 y)))))) |
(fma.f64 (log.f64 y) (+.f64 z x) (*.f64 (log.f64 #s(literal -1 binary64)) z)) |
(+ (* -1 (* x (log (/ 1 y)))) (+ (* -1 (/ z y)) (* z (+ (log -1) (* -1 (log (/ 1 y))))))) |
(-.f64 (fma.f64 (log.f64 y) (+.f64 z x) (*.f64 (log.f64 #s(literal -1 binary64)) z)) (/.f64 z y)) |
(+ (* -1 (* x (log (/ 1 y)))) (+ (* -1 (/ z y)) (+ (* -1/2 (/ z (pow y 2))) (* z (+ (log -1) (* -1 (log (/ 1 y)))))))) |
(fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 z x) (*.f64 (log.f64 #s(literal -1 binary64)) z))) |
(+ (* -1 (* x (log (/ 1 y)))) (+ (* -1 (/ z y)) (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/3 (/ z (pow y 3))) (* z (+ (log -1) (* -1 (log (/ 1 y))))))))) |
(fma.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) (-.f64 (fma.f64 (log.f64 y) (+.f64 z x) (*.f64 (log.f64 #s(literal -1 binary64)) z)) (/.f64 z y))) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) |
(- (+ (log -1) (* -1 (log (/ 1 y)))) (/ 1 y)) |
(-.f64 (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y)))) |
(-.f64 (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
(- (+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2))))) (/ 1 y)) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) y) (log.f64 y))) |
(- (+ (* -1 (* x (log (/ 1 y)))) (* z (+ (log -1) (* -1 (log (/ 1 y)))))) t) |
(-.f64 (fma.f64 (log.f64 y) (+.f64 z x) (*.f64 (log.f64 #s(literal -1 binary64)) z)) t) |
(- (+ (* -1 (* x (log (/ 1 y)))) (+ (* -1 (/ z y)) (* z (+ (log -1) (* -1 (log (/ 1 y))))))) t) |
(-.f64 (-.f64 (fma.f64 (log.f64 y) (+.f64 z x) (*.f64 (log.f64 #s(literal -1 binary64)) z)) t) (/.f64 z y)) |
(- (+ (* -1 (* x (log (/ 1 y)))) (+ (* -1 (/ z y)) (+ (* -1/2 (/ z (pow y 2))) (* z (+ (log -1) (* -1 (log (/ 1 y)))))))) t) |
(fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 (fma.f64 (log.f64 y) (+.f64 z x) (*.f64 (log.f64 #s(literal -1 binary64)) z)) t)) |
(- (+ (* -1 (* x (log (/ 1 y)))) (+ (* -1 (/ z y)) (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/3 (/ z (pow y 3))) (* z (+ (log -1) (* -1 (log (/ 1 y))))))))) t) |
(fma.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) (-.f64 (-.f64 (fma.f64 (log.f64 y) (+.f64 z x) (*.f64 (log.f64 #s(literal -1 binary64)) z)) t) (/.f64 z y))) |
(* -1 (* x (log (/ 1 y)))) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (log (/ 1 y)))) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (log (/ 1 y)))) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (log (/ 1 y)))) |
(*.f64 (log.f64 y) x) |
(+ (* -1 (* z (log (/ -1 y)))) (* x (+ (log -1) (* -1 (log (/ -1 y)))))) |
(fma.f64 (log.f64 (neg.f64 y)) (+.f64 x z) (*.f64 (log.f64 #s(literal -1 binary64)) x)) |
(+ (* -1 (* z (log (/ -1 y)))) (+ (* -1 (/ z y)) (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(-.f64 (fma.f64 (log.f64 (neg.f64 y)) (+.f64 x z) (*.f64 (log.f64 #s(literal -1 binary64)) x)) (/.f64 z y)) |
(+ (* -1 (* z (log (/ -1 y)))) (+ (* -1 (/ (+ z (* 1/2 (/ z y))) y)) (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 (neg.f64 y)) (+.f64 x z) (*.f64 (log.f64 #s(literal -1 binary64)) x))) |
(+ (* -1 (* z (log (/ -1 y)))) (+ (* -1 (/ (+ z (* -1 (/ (+ (* -1/2 z) (* -1/3 (/ z y))) y))) y)) (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) x (fma.f64 (log.f64 (neg.f64 y)) (+.f64 x z) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (*.f64 #s(literal -1/2 binary64) z)) y) z) y))) |
(* -1 (log (/ -1 y))) |
(log.f64 (neg.f64 y)) |
(- (* -1 (log (/ -1 y))) (/ 1 y)) |
(-.f64 (log.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) |
(-.f64 (log.f64 (neg.f64 y)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) |
(+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (log.f64 (neg.f64 y))) |
(- (+ (* -1 (* z (log (/ -1 y)))) (* x (+ (log -1) (* -1 (log (/ -1 y)))))) t) |
(fma.f64 (log.f64 #s(literal -1 binary64)) x (fma.f64 (log.f64 (neg.f64 y)) (+.f64 x z) (neg.f64 t))) |
(- (+ (* -1 (* z (log (/ -1 y)))) (+ (* -1 (/ z y)) (* x (+ (log -1) (* -1 (log (/ -1 y))))))) t) |
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) x (fma.f64 (log.f64 (neg.f64 y)) (+.f64 x z) (neg.f64 t))) (/.f64 z y)) |
(- (+ (* -1 (* z (log (/ -1 y)))) (+ (* -1 (/ (+ z (* 1/2 (/ z y))) y)) (* x (+ (log -1) (* -1 (log (/ -1 y))))))) t) |
(fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 #s(literal -1 binary64)) x (fma.f64 (log.f64 (neg.f64 y)) (+.f64 x z) (neg.f64 t)))) |
(- (+ (* -1 (* z (log (/ -1 y)))) (+ (* -1 (/ (+ z (* -1 (/ (+ (* -1/2 z) (* -1/3 (/ z y))) y))) y)) (* x (+ (log -1) (* -1 (log (/ -1 y))))))) t) |
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) x (fma.f64 (log.f64 (neg.f64 y)) (+.f64 x z) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (*.f64 #s(literal -1/2 binary64) z)) y) z) y))) t) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 #s(literal -1 binary64))) x) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 #s(literal -1 binary64))) x) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 #s(literal -1 binary64))) x) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 #s(literal -1 binary64))) x) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(- (* z (log (- 1 y))) t) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (/ (* z (log (- 1 y))) x))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(* x (+ (log y) (/ (* z (log (- 1 y))) x))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(* x (+ (log y) (/ (* z (log (- 1 y))) x))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
| 7 024× | lower-fma.f64 |
| 7 024× | lower-fma.f32 |
| 4 486× | lower-*.f32 |
| 4 482× | lower-*.f64 |
| 2 892× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 67 | 32 |
| 2 | 506 | 32 |
| 3 | 6739 | 32 |
| 0 | 8211 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
(log.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
(*.f64 x (log.f64 y)) |
| Outputs |
|---|
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Compiled 11 392 to 1 137 computations (90% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 341 | 17 | 358 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 342 | 17 | 359 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
| 54.2% | (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64))) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x t))) | |
| 36.2% | (/.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x t)) t (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64)))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) | |
| 71.0% | (-.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) | |
| 93.5% | (-.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) | |
| ▶ | 71.0% | (-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) |
| ▶ | 99.8% | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) |
| 99.2% | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (neg.f64 y)))) t) | |
| 99.8% | (-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (fma.f64 (log.f64 y) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) z) y))) t) | |
| 54.0% | (*.f64 (neg.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x t))))) | |
| ▶ | 57.4% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
| 99.2% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 (fma.f64 z y t)))) | |
| 85.5% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 t))) | |
| 15.6% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) | |
| 43.7% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) | |
| ▶ | 44.0% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
Compiled 652 to 450 computations (31% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) | |
| cost-diff | 128 | (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)))) | |
| cost-diff | 42176 | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (*.f64 x (log.f64 y)) | |
| cost-diff | 0 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) | |
| cost-diff | 128 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (log1p.f64 (neg.f64 y)) | |
| cost-diff | 0 | (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) | |
| cost-diff | 0 | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) | |
| cost-diff | 0 | (neg.f64 t) | |
| cost-diff | 0 | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) | |
| cost-diff | 0 | (fma.f64 (log.f64 y) x (neg.f64 t)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (log1p.f64 (neg.f64 y)) | |
| cost-diff | 0 | (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
| 5 080× | lower-fma.f32 |
| 5 066× | lower-fma.f64 |
| 2 568× | lower-*.f32 |
| 2 556× | lower-*.f64 |
| 1 638× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 371 |
| 0 | 76 | 334 |
| 1 | 140 | 334 |
| 2 | 251 | 332 |
| 3 | 639 | 332 |
| 4 | 1578 | 332 |
| 5 | 3483 | 332 |
| 6 | 4518 | 332 |
| 7 | 5124 | 332 |
| 8 | 5452 | 332 |
| 9 | 5655 | 332 |
| 10 | 5666 | 332 |
| 11 | 5666 | 332 |
| 12 | 5746 | 332 |
| 13 | 5758 | 332 |
| 14 | 5758 | 332 |
| 15 | 7072 | 324 |
| 16 | 7676 | 324 |
| 17 | 7732 | 324 |
| 18 | 7763 | 324 |
| 19 | 7763 | 324 |
| 20 | 7765 | 324 |
| 21 | 7765 | 322 |
| 22 | 7773 | 322 |
| 23 | 7897 | 305 |
| 24 | 7996 | 305 |
| 0 | 8012 | 302 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
y |
z |
(fma.f64 (log.f64 y) x (neg.f64 t)) |
(log.f64 y) |
x |
(neg.f64 t) |
t |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
y |
z |
(neg.f64 t) |
t |
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) |
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) |
(*.f64 x (log.f64 y)) |
x |
(log.f64 y) |
y |
(*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y))) |
z |
#s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
t |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) |
(*.f64 x x) |
x |
(/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) |
(neg.f64 z) |
z |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (log.f64 y) x) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)))) |
(/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) |
(pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
t |
| Outputs |
|---|
(fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t))) |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
y |
z |
(fma.f64 (log.f64 y) x (neg.f64 t)) |
(fma.f64 x (log.f64 y) (neg.f64 t)) |
(log.f64 y) |
x |
(neg.f64 t) |
t |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
y |
z |
(neg.f64 t) |
t |
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) (neg.f64 t))) |
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) |
(*.f64 x (log.f64 y)) |
x |
(log.f64 y) |
y |
(*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y))) |
(*.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z) |
z |
#s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
t |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) |
(*.f64 x x) |
x |
(/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) |
(/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y)))) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) |
(fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) |
(neg.f64 z) |
z |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (log.f64 y) x) |
(*.f64 x (log.f64 y)) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)))) |
(/.f64 (pow.f64 (*.f64 z (log1p.f64 (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 y)) x (*.f64 z (log1p.f64 (neg.f64 y))))) |
(/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) |
(/.f64 (pow.f64 (*.f64 z (log1p.f64 (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y)))) |
(pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (log1p.f64 (neg.f64 y))) #s(literal 2 binary64)) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
t |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.36947250976844204 | (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) | |
| accuracy | 0.5654487793053261 | (pow.f64 (log.f64 y) #s(literal 2 binary64)) | |
| accuracy | 7.820653556244968 | (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) | |
| accuracy | 20.04879625337504 | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) | |
| accuracy | 0.01171875 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) | |
| accuracy | 0.15537704234665453 | #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) | |
| accuracy | 0.3046875 | (*.f64 x (log.f64 y)) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 0 | (log1p.f64 (neg.f64 y)) | |
| accuracy | 0.0078125 | (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) | |
| accuracy | 27.239985091453093 | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 35.85746125749817 | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) | |
| accuracy | 0 | (log1p.f64 (neg.f64 y)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.00390625 | (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) | |
| accuracy | 0.12890625 | (fma.f64 (log.f64 y) x (neg.f64 t)) |
| 188.0ms | 201× | 1 | valid |
| 41.0ms | 45× | 2 | valid |
| 3.0ms | 10× | 0 | valid |
Compiled 379 to 43 computations (88.7% saved)
ival-log: 58.0ms (32.9% of total)ival-add: 32.0ms (18.1% of total)ival-mult: 28.0ms (15.9% of total)adjust: 22.0ms (12.5% of total)ival-pow2: 9.0ms (5.1% of total)ival-sub: 7.0ms (4% of total)ival-div: 7.0ms (4% of total)ival-neg: 5.0ms (2.8% of total)const: 4.0ms (2.3% of total)ival-log1p: 4.0ms (2.3% 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 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) (patch (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (neg.f64 y)) (patch (log1p.f64 (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log.f64 y) x (neg.f64 t)) (patch (fma.f64 (log.f64 y) x (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (patch (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) (patch (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) #<representation binary64>) () ()) |
#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)))) #<representation binary64>) () ()) |
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#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (patch #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) #<representation binary64>) () ()) |
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#s(alt (pow.f64 (log.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (patch (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) (patch (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) (patch (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) (patch (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 t) (#s(alt (fma.f64 (log.f64 y) x (neg.f64 t)) (patch (fma.f64 (log.f64 y) x (neg.f64 t)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) (patch (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (* -1 t) (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (taylor 0 t) (#s(alt (-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) (patch (-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 t) (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (taylor 0 t) (#s(alt (-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) (patch (-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) #<representation binary64>) () ())) ()) |
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | z | @ | 0 | ((+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (neg y) (+ (* (log y) x) (neg t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (+ (* x (log y)) (* z (log (- 1 y)))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y)) (log y) (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (* x x) (log (- 1 y)) (* (+ (* (+ (* -1/3 y) -1/2) y) -1) y) (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (pow (log y) 2) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) |
| 21.0ms | y | @ | inf | ((+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (neg y) (+ (* (log y) x) (neg t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (+ (* x (log y)) (* z (log (- 1 y)))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y)) (log y) (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (* x x) (log (- 1 y)) (* (+ (* (+ (* -1/3 y) -1/2) y) -1) y) (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (pow (log y) 2) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) |
| 18.0ms | y | @ | -inf | ((+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (neg y) (+ (* (log y) x) (neg t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (+ (* x (log y)) (* z (log (- 1 y)))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y)) (log y) (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (* x x) (log (- 1 y)) (* (+ (* (+ (* -1/3 y) -1/2) y) -1) y) (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (pow (log y) 2) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) |
| 17.0ms | x | @ | 0 | ((+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (neg y) (+ (* (log y) x) (neg t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (+ (* x (log y)) (* z (log (- 1 y)))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y)) (log y) (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (* x x) (log (- 1 y)) (* (+ (* (+ (* -1/3 y) -1/2) y) -1) y) (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (pow (log y) 2) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) |
| 14.0ms | x | @ | -inf | ((+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (neg y) (+ (* (log y) x) (neg t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (+ (* x (log y)) (* z (log (- 1 y)))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y)) (log y) (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (* x x) (log (- 1 y)) (* (+ (* (+ (* -1/3 y) -1/2) y) -1) y) (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (pow (log y) 2) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) |
| 1× | egg-herbie |
| 8 032× | lower-fma.f64 |
| 8 032× | lower-fma.f32 |
| 5 568× | lower-*.f64 |
| 5 568× | lower-*.f32 |
| 3 614× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1102 | 21053 |
| 1 | 3935 | 19009 |
| 0 | 8355 | 17963 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(* x (log y)) |
(+ (* -1 t) (* x (log y))) |
(+ (* -1 t) (* x (log y))) |
(+ (* -1 t) (* x (log y))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(* z (log (- 1 y))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(- (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) |
(- (+ (* -1 t) (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) |
(- (+ (* -1 t) (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) |
(- (+ (* -1 t) (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* -1 t) |
(* t (- (/ (* x (log y)) t) 1)) |
(* t (- (/ (* x (log y)) t) 1)) |
(* t (- (/ (* x (log y)) t) 1)) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* -1 t) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* -1 t) |
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(* t (- (/ (* (pow x 2) (pow (log y) 2)) (* t (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (+ 1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* t (+ (* -1 (* z (log (- 1 y)))) (* x (log y)))))))) |
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(pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) |
(/ (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y))))) |
(+ (* -1 (/ (* z (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (* y (pow (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))) 2)))) (/ (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (* y (pow (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))) 3)))) (* 1/2 (/ (* z (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (* y (pow (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))) 2))))) (* -1 (/ (* z (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (pow (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))) 2)))) y)) (/ (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (* z (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (* y (pow (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))) 2)))) (+ (* 1/2 (/ (* (pow z 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (* y (pow (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))) 3)))) (/ (* z (+ (* -1 (/ (* (pow z 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (pow (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))) 3))) (* 1/2 (/ (* z (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (pow (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))) 2))))) (* y (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))))))) (+ (* -1 (/ (* (pow z 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (pow (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))) 3))) (* 1/2 (/ (* z (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (pow (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))) 2))))) y)) (* -1 (/ (* z (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (pow (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))) 2)))) y)) (/ (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* z (log (/ -1 y)))))) |
(- (* z (log (- 1 y))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(* -1 t) |
(- (* x (log y)) t) |
(- (* x (log y)) t) |
(- (* x (log y)) t) |
(- (* z (log (- 1 y))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (* z (log (- 1 y))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(* z (log (- 1 y))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(- (* z (log (- 1 y))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* z (log (- 1 y))) |
(- (* x (log y)) (* -1 (* z (log (- 1 y))))) |
(- (* x (+ (log y) (* x (+ (* -1 (/ (pow (log y) 2) (* z (log (- 1 y))))) (/ (pow (log y) 2) (* z (log (- 1 y)))))))) (* -1 (* z (log (- 1 y))))) |
(- (* x (+ (log y) (* x (+ (* -1 (/ (pow (log y) 2) (* z (log (- 1 y))))) (/ (pow (log y) 2) (* z (log (- 1 y)))))))) (* -1 (* z (log (- 1 y))))) |
(* z (log (- 1 y))) |
(- (* x (log y)) (* -1 (* z (log (- 1 y))))) |
(- (* x (+ (log y) (/ (* x (pow (log y) 2)) (* z (log (- 1 y)))))) (* -1 (* z (log (- 1 y))))) |
(- (* x (+ (log y) (* x (+ (/ (* x (pow (log y) 3)) (* (pow z 2) (pow (log (- 1 y)) 2))) (/ (pow (log y) 2) (* z (log (- 1 y)))))))) (* -1 (* z (log (- 1 y))))) |
(* -1 (+ t (* -1 (* z (log (- 1 y)))))) |
(- (* x (log y)) (+ t (* -1 (* z (log (- 1 y)))))) |
(- (* x (+ (log y) (* x (+ (* -1 (/ (pow (log y) 2) (* z (log (- 1 y))))) (/ (pow (log y) 2) (* z (log (- 1 y)))))))) (+ t (* -1 (* z (log (- 1 y)))))) |
(- (* x (+ (log y) (* x (+ (* -1 (/ (pow (log y) 2) (* z (log (- 1 y))))) (/ (pow (log y) 2) (* z (log (- 1 y)))))))) (+ t (* -1 (* z (log (- 1 y)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 (* z (log (- 1 y)))) |
(+ (* -1 (* x (log y))) (* -1 (* z (log (- 1 y))))) |
(+ (* -1 (* z (log (- 1 y)))) (* x (- (* -1 (/ (* x (pow (log y) 2)) (* z (log (- 1 y))))) (log y)))) |
(+ (* -1 (* z (log (- 1 y)))) (* x (- (* x (- (* -1 (/ (* x (pow (log y) 3)) (* (pow z 2) (pow (log (- 1 y)) 2)))) (/ (pow (log y) 2) (* z (log (- 1 y)))))) (log y)))) |
(* -1 (/ (pow (log y) 2) (* z (log (- 1 y))))) |
(+ (* -1 (/ (* x (pow (log y) 3)) (* (pow z 2) (pow (log (- 1 y)) 2)))) (* -1 (/ (pow (log y) 2) (* z (log (- 1 y)))))) |
(+ (* -1 (/ (pow (log y) 2) (* z (log (- 1 y))))) (* x (- (* -1 (/ (* x (pow (log y) 4)) (* (pow z 3) (pow (log (- 1 y)) 3)))) (/ (pow (log y) 3) (* (pow z 2) (pow (log (- 1 y)) 2)))))) |
(+ (* -1 (/ (pow (log y) 2) (* z (log (- 1 y))))) (* x (- (* x (- (* -1 (/ (* x (pow (log y) 5)) (* (pow z 4) (pow (log (- 1 y)) 4)))) (/ (pow (log y) 4) (* (pow z 3) (pow (log (- 1 y)) 3))))) (/ (pow (log y) 3) (* (pow z 2) (pow (log (- 1 y)) 2)))))) |
(* x (log y)) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ t x)))) |
(* x (+ (log y) (* -1 (/ t x)))) |
(* x (+ (log y) (* -1 (/ t x)))) |
(* x (log y)) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (log y)) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (log y)) |
(* x (+ (log y) (/ (* z (log (- 1 y))) x))) |
(* x (+ (log y) (/ (* z (log (- 1 y))) x))) |
(* x (+ (log y) (/ (* z (log (- 1 y))) x))) |
(* x (log y)) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (+ (log y) (/ (* z (log (- 1 y))) x))) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (pow x 2)))) (* -1 (/ (* z (log (- 1 y))) x)))) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (pow x 2)))) (* -1 (/ (* z (log (- 1 y))) x)))) |
(* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) |
(/ (- (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* x (pow (log y) 2)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* x (pow (log y) 2)))) (* -1 (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (* (pow x 2) (pow (log y) 3))))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* x (pow (log y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (* (pow x 2) (pow (log y) 3)))) (* -1 (/ (* (pow z 5) (pow (log (- 1 y)) 5)) (* (pow x 3) (pow (log y) 4)))))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) x) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ t (* -1 (* z (log (- 1 y))))) x)))) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (pow x 2)))) (+ (* -1 (/ (* z (log (- 1 y))) x)) (/ t x)))) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (pow x 2)))) (+ (* -1 (/ (* z (log (- 1 y))) x)) (/ t x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y))) |
(/ (+ (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y)) (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* x (pow (log y) 2)))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y)) (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (* (pow x 2) (pow (log y) 3)))) (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* x (pow (log y) 2))))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y)) (/ (* (pow z 5) (pow (log (- 1 y)) 5)) (* (pow x 3) (pow (log y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* x (pow (log y) 2)))) (* -1 (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (* (pow x 2) (pow (log y) 3)))))) x) |
(/ (log y) x) |
(/ (+ (log y) (/ (* z (log (- 1 y))) x)) x) |
(/ (- (+ (log y) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* (pow x 2) (log y)))) (* -1 (/ (* z (log (- 1 y))) x))) x) |
(/ (- (+ (log y) (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* (pow x 3) (pow (log y) 2)))) (+ (* -1 (/ (* z (log (- 1 y))) x)) (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* (pow x 2) (log y)))))) x) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (* -1 (* z (log (- 1 y))))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (* -1 (* z (log (- 1 y))))) x))))) |
(* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) |
(* -1 (/ (- (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* x (pow (log y) 2))) (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (pow (log y) 2))) (* -1 (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (* x (pow (log y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (pow (log y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (pow (log y) 3)) (/ (* (pow z 5) (pow (log (- 1 y)) 5)) (* x (pow (log y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y)))) x)) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (* -1 (/ (* z (log (- 1 y))) x)) (/ t x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (+ t (* -1 (* z (log (- 1 y)))))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (+ t (* -1 (* z (log (- 1 y)))))) x))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* x (pow (log y) 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (* -1 (/ (- (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (* x (pow (log y) 3))) (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (pow (log y) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (log (- 1 y)) 5)) (* x (pow (log y) 4)))) (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (pow (log y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (pow (log y) 2)))) x))) x)) |
(/ (log y) x) |
(* -1 (/ (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))) x)) |
(* -1 (/ (+ (* -1 (log y)) (* -1 (/ (- (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y))) (* -1 (* z (log (- 1 y))))) x))) x)) |
(* -1 (/ (+ (* -1 (log y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* x (pow (log y) 2)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) x)) (* -1 (* z (log (- 1 y))))) x))) x)) |
| Outputs |
|---|
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(+ (* -1 t) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(+ (* -1 t) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(+ (* -1 t) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
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(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 3 binary64)) x) (*.f64 (*.f64 z z) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (log.f64 y)))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (pow (log y) 2))) (* -1 (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (* x (pow (log y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y)))) x)) |
(/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (log.f64 y)) (/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 4 binary64)) x)))) (neg.f64 x))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (pow (log y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (pow (log y) 3)) (/ (* (pow z 5) (pow (log (- 1 y)) 5)) (* x (pow (log y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y)))) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (log.f64 y)) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (log.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 5 binary64)) x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 4 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64)))))) (neg.f64 x))) x))) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (* -1 (/ (* z (log (- 1 y))) x)) (/ t x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) x) (log.f64 y)) (/.f64 t x))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (+ t (* -1 (* z (log (- 1 y)))))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (log.f64 y)) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) x))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (+ t (* -1 (* z (log (- 1 y)))))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (log.f64 y)) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) x))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y))) |
(*.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) (log.f64 y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* x (pow (log y) 2))))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 3 binary64)) x) (*.f64 (*.f64 z z) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (log.f64 y)))) x) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (* -1 (/ (- (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (* x (pow (log y) 3))) (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (pow (log y) 2)))) x))) x)) |
(/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (log.f64 y)) (/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 4 binary64)) x)))) (neg.f64 x))) x) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (log (- 1 y)) 5)) (* x (pow (log y) 4)))) (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (pow (log y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (pow (log y) 2)))) x))) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (log.f64 y)) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (log.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 5 binary64)) x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 4 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64)))))) (neg.f64 x))) x))) (neg.f64 x)) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(* -1 (/ (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))) x)) |
(/.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) x) (log.f64 y)) x) |
(* -1 (/ (+ (* -1 (log y)) (* -1 (/ (- (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y))) (* -1 (* z (log (- 1 y))))) x))) x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 y) x)) (*.f64 (log1p.f64 (neg.f64 y)) z)) (neg.f64 x)) (log.f64 y)) x) |
(* -1 (/ (+ (* -1 (log y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* x (pow (log y) 2)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) x)) (* -1 (* z (log (- 1 y))))) x))) x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 3 binary64)) x) (*.f64 (*.f64 z z) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (log.f64 y)))) (neg.f64 x)) (*.f64 (log1p.f64 (neg.f64 y)) z)) x) (log.f64 y)) x) |
| 5 604× | lower-fma.f32 |
| 5 590× | lower-fma.f64 |
| 4 994× | lower-*.f32 |
| 4 982× | lower-*.f64 |
| 3 812× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 278 |
| 0 | 76 | 242 |
| 1 | 336 | 214 |
| 2 | 2602 | 214 |
| 0 | 8841 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
(fma.f64 (log.f64 y) x (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
(neg.f64 t) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) |
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) |
(*.f64 x (log.f64 y)) |
(log.f64 y) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)))) |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) |
(*.f64 x x) |
#s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) |
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|---|
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Compiled 102 856 to 5 173 computations (95% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 957 | 16 | 1 973 |
| Fresh | 7 | 5 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 968 | 22 | 1 990 |
| Status | Accuracy | Program |
|---|---|---|
| 86.6% | (fma.f64 (log1p.f64 (neg.f64 y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) t))) | |
| 86.6% | (fma.f64 (log1p.f64 (neg.f64 y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) x) t))))) | |
| ▶ | 99.8% | (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
| ▶ | 99.8% | (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
| 99.2% | (fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) | |
| ▶ | 53.9% | (/.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) t))) |
| 36.2% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) t)) (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) | |
| 71.0% | (-.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) | |
| 93.5% | (-.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) | |
| 73.8% | (-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) #s(approx (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (*.f64 (log1p.f64 (neg.f64 y)) z))) t) | |
| 88.4% | (-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) t) | |
| 43.7% | #s(approx (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (*.f64 (log.f64 y) x)) | |
| 99.2% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 (fma.f64 z y t)))) | |
| 85.5% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 t))) | |
| ▶ | 57.4% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
| 57.4% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) | |
| 57.4% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) | |
| 23.9% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) | |
| ✓ | 44.0% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
| 57.4% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 z)) y) t))) | |
| ▶ | 57.0% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
Compiled 825 to 590 computations (28.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) | |
| cost-diff | 0 | (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) | |
| cost-diff | 15744 | (/.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) t))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y) | |
| cost-diff | 0 | #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) | |
| cost-diff | 0 | #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) | |
| cost-diff | 0 | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) | |
| cost-diff | 0 | (fma.f64 z y t) | |
| cost-diff | 0 | (neg.f64 (fma.f64 z y t)) | |
| cost-diff | 0 | #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) | |
| cost-diff | 0 | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) | |
| cost-diff | 0 | #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
| 12 160× | lower-fma.f32 |
| 12 130× | lower-fma.f64 |
| 3 762× | lower-*.f32 |
| 3 752× | lower-*.f64 |
| 2 482× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 512 |
| 0 | 92 | 477 |
| 1 | 166 | 477 |
| 2 | 300 | 477 |
| 3 | 671 | 477 |
| 4 | 1705 | 477 |
| 5 | 4102 | 477 |
| 6 | 7322 | 477 |
| 0 | 8225 | 457 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(log.f64 y) |
y |
x |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) |
#s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
z |
(neg.f64 t) |
t |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
#s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) |
(neg.f64 (fma.f64 z y t)) |
(fma.f64 z y t) |
z |
y |
t |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) |
#s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
y |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
z |
(neg.f64 t) |
t |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
#s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal -1 binary64) |
z |
(fma.f64 (log.f64 y) x (neg.f64 t)) |
(log.f64 y) |
x |
(neg.f64 t) |
t |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) t))) |
(-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) |
(pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) |
#s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) |
#s(literal -1/3 binary64) |
y |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
z |
(*.f64 x (log.f64 y)) |
x |
(log.f64 y) |
#s(literal 2 binary64) |
(*.f64 t t) |
t |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) t)) |
(fma.f64 x (log.f64 y) t) |
| Outputs |
|---|
(fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (fma.f64 x (log.f64 y) (neg.f64 t))) |
(log.f64 y) |
y |
x |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) |
(fma.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (neg.f64 t)) |
#s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
z |
(neg.f64 t) |
t |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
#s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) |
(neg.f64 (fma.f64 z y t)) |
(fma.f64 z y t) |
z |
y |
t |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) |
#s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) |
#s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
y |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
z |
(neg.f64 t) |
t |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) (neg.f64 t))) |
#s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) |
#s(approx (log (- 1 y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal -1 binary64) |
z |
(fma.f64 (log.f64 y) x (neg.f64 t)) |
(fma.f64 x (log.f64 y) (neg.f64 t)) |
(log.f64 y) |
x |
(neg.f64 t) |
t |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) t))) |
(fma.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (fma.f64 x (log.f64 y) (neg.f64 t))) |
(-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) |
(fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (*.f64 x (log.f64 y))) #s(literal 2 binary64))) |
(pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (*.f64 x (log.f64 y))) #s(literal 2 binary64)) |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) |
(fma.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (*.f64 x (log.f64 y))) |
#s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) |
#s(literal -1/3 binary64) |
y |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
z |
(*.f64 x (log.f64 y)) |
x |
(log.f64 y) |
#s(literal 2 binary64) |
(*.f64 t t) |
t |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) t)) |
(fma.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (fma.f64 x (log.f64 y) t)) |
(fma.f64 x (log.f64 y) t) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.29134750976844204 | (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) | |
| accuracy | 0.3046875 | (*.f64 x (log.f64 y)) | |
| accuracy | 4.093729358302059 | (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) | |
| accuracy | 29.205553861889985 | (/.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) t))) | |
| accuracy | 0.00390625 | (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y) | |
| accuracy | 0.12890625 | (fma.f64 (log.f64 y) x (neg.f64 t)) | |
| accuracy | 0.32062599846383927 | #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) | |
| accuracy | 0.015625 | (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) | |
| accuracy | 0.13431286765611744 | #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) | |
| accuracy | 27.239985091453093 | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) | |
| accuracy | 0 | (fma.f64 z y t) | |
| accuracy | 0 | (neg.f64 (fma.f64 z y t)) | |
| accuracy | 0.5993299651713407 | #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) | |
| accuracy | 27.239985091453093 | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) | |
| accuracy | 0.0078125 | (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) | |
| accuracy | 0.11328125 | (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) | |
| accuracy | 0.15537704234665453 | #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) |
| 594.0ms | 215× | 1 | valid |
| 201.0ms | 30× | 2 | valid |
| 4.0ms | 11× | 0 | valid |
Compiled 367 to 55 computations (85% saved)
ival-log: 269.0ms (46% of total)ival-add: 193.0ms (33% of total)ival-mult: 40.0ms (6.8% of total)adjust: 32.0ms (5.5% of total)ival-sub: 29.0ms (5% of total)const: 8.0ms (1.4% of total)ival-pow2: 5.0ms (0.9% of total)ival-div: 3.0ms (0.5% of total)ival-neg: 3.0ms (0.5% of total)ival-log1p: 2.0ms (0.3% of total)exact: 1.0ms (0.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) (patch (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) (patch (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (patch #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) (patch #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 z y t)) (patch (neg.f64 (fma.f64 z y t)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z y t) (patch (fma.f64 z y t) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) (patch (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (patch #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) (patch (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) (patch #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) t))) (patch (/.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) t))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) (patch (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) (patch (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log.f64 y) x (neg.f64 t)) (patch (fma.f64 (log.f64 y) x (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) (patch (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) (patch (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) (patch (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) (patch (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (* z (log (- 1 y))) (taylor 0 t) (#s(alt (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) (patch (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) (patch (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) (patch (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) (patch (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (log (- 1 y))) (taylor 0 t) (#s(alt #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) (patch #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) (patch #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) (patch #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) (patch #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 t) (#s(alt (neg.f64 (fma.f64 z y t)) (patch (neg.f64 (fma.f64 z y t)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 t) (* y z)) (taylor 0 t) (#s(alt (neg.f64 (fma.f64 z y t)) (patch (neg.f64 (fma.f64 z y t)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 t) (* y z)) (taylor 0 t) (#s(alt (neg.f64 (fma.f64 z y t)) (patch (neg.f64 (fma.f64 z y t)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 t) (* y z)) (taylor 0 t) (#s(alt (neg.f64 (fma.f64 z y t)) (patch (neg.f64 (fma.f64 z y t)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 t) (#s(alt (fma.f64 z y t) (patch (fma.f64 z y t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (* y z)) (taylor 0 t) (#s(alt (fma.f64 z y t) (patch (fma.f64 z y t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (* y z)) (taylor 0 t) (#s(alt (fma.f64 z y t) (patch (fma.f64 z y t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (* y z)) (taylor 0 t) (#s(alt (fma.f64 z y t) (patch (fma.f64 z y t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | y | @ | 0 | ((+ (* (log y) x) (+ (* (log (- 1 y)) z) (neg t))) (log y) (+ (* (log (- 1 y)) z) (neg t)) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg (+ (* z y) t)) (+ (* z y) t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (* (+ (* (+ (* (+ (* -1/4 y) -1/3) y) -1/2) y) -1) y) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (* (+ (* -1/2 y) -1) y) (+ (* -1/2 y) -1) (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (+ (* (log (- 1 y)) z) (* x (log y))) (* (+ (* (+ (* -1/3 y) -1/2) y) -1) y) (+ (* -1/4 y) -1/3) (+ (* (log y) x) (neg t)) (* x (log y))) |
| 45.0ms | y | @ | -inf | ((+ (* (log y) x) (+ (* (log (- 1 y)) z) (neg t))) (log y) (+ (* (log (- 1 y)) z) (neg t)) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg (+ (* z y) t)) (+ (* z y) t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (* (+ (* (+ (* (+ (* -1/4 y) -1/3) y) -1/2) y) -1) y) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (* (+ (* -1/2 y) -1) y) (+ (* -1/2 y) -1) (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (+ (* (log (- 1 y)) z) (* x (log y))) (* (+ (* (+ (* -1/3 y) -1/2) y) -1) y) (+ (* -1/4 y) -1/3) (+ (* (log y) x) (neg t)) (* x (log y))) |
| 43.0ms | x | @ | -inf | ((+ (* (log y) x) (+ (* (log (- 1 y)) z) (neg t))) (log y) (+ (* (log (- 1 y)) z) (neg t)) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg (+ (* z y) t)) (+ (* z y) t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (* (+ (* (+ (* (+ (* -1/4 y) -1/3) y) -1/2) y) -1) y) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (* (+ (* -1/2 y) -1) y) (+ (* -1/2 y) -1) (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (+ (* (log (- 1 y)) z) (* x (log y))) (* (+ (* (+ (* -1/3 y) -1/2) y) -1) y) (+ (* -1/4 y) -1/3) (+ (* (log y) x) (neg t)) (* x (log y))) |
| 13.0ms | y | @ | inf | ((+ (* (log y) x) (+ (* (log (- 1 y)) z) (neg t))) (log y) (+ (* (log (- 1 y)) z) (neg t)) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg (+ (* z y) t)) (+ (* z y) t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (* (+ (* (+ (* (+ (* -1/4 y) -1/3) y) -1/2) y) -1) y) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (* (+ (* -1/2 y) -1) y) (+ (* -1/2 y) -1) (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (+ (* (log (- 1 y)) z) (* x (log y))) (* (+ (* (+ (* -1/3 y) -1/2) y) -1) y) (+ (* -1/4 y) -1/3) (+ (* (log y) x) (neg t)) (* x (log y))) |
| 12.0ms | x | @ | 0 | ((+ (* (log y) x) (+ (* (log (- 1 y)) z) (neg t))) (log y) (+ (* (log (- 1 y)) z) (neg t)) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg (+ (* z y) t)) (+ (* z y) t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (* (+ (* (+ (* (+ (* -1/4 y) -1/3) y) -1/2) y) -1) y) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (* (+ (* -1/2 y) -1) y) (+ (* -1/2 y) -1) (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (+ (* (log (- 1 y)) z) (* x (log y))) (* (+ (* (+ (* -1/3 y) -1/2) y) -1) y) (+ (* -1/4 y) -1/3) (+ (* (log y) x) (neg t)) (* x (log y))) |
| 1× | egg-herbie |
| 10 964× | lower-fma.f64 |
| 10 964× | lower-fma.f32 |
| 5 646× | lower-+.f64 |
| 5 646× | lower-+.f32 |
| 5 500× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 831 | 14994 |
| 1 | 2742 | 13968 |
| 0 | 8206 | 12800 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(* z (log (- 1 y))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(* z (log (- 1 y))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(* -1 (* y z)) |
(- (* -1 t) (* y z)) |
(- (* -1 t) (* y z)) |
(- (* -1 t) (* y z)) |
(* y z) |
(+ t (* y z)) |
(+ t (* y z)) |
(+ t (* y z)) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(* z (log (- 1 y))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) |
(+ (* -1 (pow t 2)) (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2)) |
(+ (* -1 (pow t 2)) (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2)) |
(+ (* -1 (pow t 2)) (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2)) |
(* x (log y)) |
(+ (* -1 t) (* x (log y))) |
(+ (* -1 t) (* x (log y))) |
(+ (* -1 t) (* x (log y))) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* -1 t) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* -1 t) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* -1 t) |
(* t (- (* -1 (/ (* y z) t)) 1)) |
(* t (- (* -1 (/ (* y z) t)) 1)) |
(* t (- (* -1 (/ (* y z) t)) 1)) |
t |
(* t (+ 1 (/ (* y z) t))) |
(* t (+ 1 (/ (* y z) t))) |
(* t (+ 1 (/ (* y z) t))) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* -1 t) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* -1 (pow t 2)) |
(* (pow t 2) (- (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) (pow t 2)) 1)) |
(* (pow t 2) (- (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) (pow t 2)) 1)) |
(* (pow t 2) (- (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) (pow t 2)) 1)) |
(* -1 t) |
(* t (- (/ (* x (log y)) t) 1)) |
(* t (- (/ (* x (log y)) t) 1)) |
(* t (- (/ (* x (log y)) t) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (/ (* y z) t)))) |
(* -1 (* t (+ 1 (/ (* y z) t)))) |
(* -1 (* t (+ 1 (/ (* y z) t)))) |
t |
(* -1 (* t (- (* -1 (/ (* y z) t)) 1))) |
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(* -1 t) |
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(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (pow t 2)) |
(* (pow t 2) (- (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) (pow t 2)) 1)) |
(* (pow t 2) (- (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) (pow t 2)) 1)) |
(* (pow t 2) (- (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) (pow t 2)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (* x (log y)) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (* x (log y)) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (* x (log y)) t))))) |
(- (* x (log y)) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(* -1 t) |
(- (* z (log (- 1 y))) t) |
(- (* z (log (- 1 y))) t) |
(- (* z (log (- 1 y))) t) |
(- (* x (log y)) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(* -1 t) |
(- (* z (log (- 1 y))) t) |
(- (* z (log (- 1 y))) t) |
(- (* z (log (- 1 y))) t) |
(* -1 t) |
(- (* -1 (* y z)) t) |
(- (* -1 (* y z)) t) |
(- (* -1 (* y z)) t) |
t |
(+ t (* y z)) |
(+ t (* y z)) |
(+ t (* y z)) |
(- (* x (log y)) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(* -1 t) |
(- (* z (log (- 1 y))) t) |
(- (* z (log (- 1 y))) t) |
(- (* z (log (- 1 y))) t) |
(- (* x (log y)) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(/ (- (* (pow x 2) (pow (log y) 2)) (pow t 2)) (+ t (* x (log y)))) |
(- (+ (* z (- (* 2 (/ (* x (* (log y) (log (- 1 y)))) (+ t (* x (log y))))) (/ (* (log (- 1 y)) (- (* (pow x 2) (pow (log y) 2)) (pow t 2))) (pow (+ t (* x (log y))) 2)))) (/ (* (pow x 2) (pow (log y) 2)) (+ t (* x (log y))))) (/ (pow t 2) (+ t (* x (log y))))) |
(- (+ (* z (- (+ (* 2 (/ (* x (* (log y) (log (- 1 y)))) (+ t (* x (log y))))) (* z (- (/ (pow (log (- 1 y)) 2) (+ t (* x (log y)))) (/ (* (log (- 1 y)) (- (* 2 (/ (* x (* (log y) (log (- 1 y)))) (+ t (* x (log y))))) (/ (* (log (- 1 y)) (- (* (pow x 2) (pow (log y) 2)) (pow t 2))) (pow (+ t (* x (log y))) 2)))) (+ t (* x (log y))))))) (/ (* (log (- 1 y)) (- (* (pow x 2) (pow (log y) 2)) (pow t 2))) (pow (+ t (* x (log y))) 2)))) (/ (* (pow x 2) (pow (log y) 2)) (+ t (* x (log y))))) (/ (pow t 2) (+ t (* x (log y))))) |
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(- (* (pow x 2) (pow (log y) 2)) (pow t 2)) |
(- (+ (* 2 (* x (* z (* (log y) (log (- 1 y)))))) (* (pow x 2) (pow (log y) 2))) (pow t 2)) |
(- (+ (* z (+ (* 2 (* x (* (log y) (log (- 1 y))))) (* z (pow (log (- 1 y)) 2)))) (* (pow x 2) (pow (log y) 2))) (pow t 2)) |
(- (+ (* z (+ (* 2 (* x (* (log y) (log (- 1 y))))) (* z (pow (log (- 1 y)) 2)))) (* (pow x 2) (pow (log y) 2))) (pow t 2)) |
(* (pow x 2) (pow (log y) 2)) |
(+ (* 2 (* x (* z (* (log y) (log (- 1 y)))))) (* (pow x 2) (pow (log y) 2))) |
(+ (* z (+ (* 2 (* x (* (log y) (log (- 1 y))))) (* z (pow (log (- 1 y)) 2)))) (* (pow x 2) (pow (log y) 2))) |
(+ (* z (+ (* 2 (* x (* (log y) (log (- 1 y))))) (* z (pow (log (- 1 y)) 2)))) (* (pow x 2) (pow (log y) 2))) |
(* x (log y)) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(* z (log (- 1 y))) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(* z (log (- 1 y))) |
(* z (+ (log (- 1 y)) (* -1 (/ t z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ t z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ t z)))) |
(* z (log (- 1 y))) |
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(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(* z (log (- 1 y))) |
(* z (+ (log (- 1 y)) (* -1 (/ t z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ t z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ t z)))) |
(* -1 (* y z)) |
(* z (- (* -1 (/ t z)) y)) |
(* z (- (* -1 (/ t z)) y)) |
(* z (- (* -1 (/ t z)) y)) |
(* y z) |
(* z (+ y (/ t z))) |
(* z (+ y (/ t z))) |
(* z (+ y (/ t z))) |
(* z (log (- 1 y))) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(* z (log (- 1 y))) |
(* z (+ (log (- 1 y)) (* -1 (/ t z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ t z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ t z)))) |
(* z (log (- 1 y))) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(* z (- (+ (log (- 1 y)) (/ (* x (log y)) z)) (/ t z))) |
(* z (log (- 1 y))) |
(* z (- (+ (log (- 1 y)) (* 2 (/ (* x (log y)) z))) (+ (/ t z) (/ (* x (log y)) z)))) |
(* z (- (+ (log (- 1 y)) (+ (* 2 (/ (* x (log y)) z)) (/ (* (pow x 2) (pow (log y) 2)) (* (pow z 2) (log (- 1 y)))))) (+ (/ t z) (+ (/ (* x (log y)) z) (+ (/ (* (+ t (* x (log y))) (- (* 2 (* x (log y))) (+ t (* x (log y))))) (* (pow z 2) (log (- 1 y)))) (/ (pow t 2) (* (pow z 2) (log (- 1 y))))))))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (* (+ t (* x (log y))) (- (/ (* (pow x 2) (pow (log y) 2)) (log (- 1 y))) (+ (/ (* (+ t (* x (log y))) (- (* 2 (* x (log y))) (+ t (* x (log y))))) (log (- 1 y))) (/ (pow t 2) (log (- 1 y)))))) (* (pow z 3) (log (- 1 y))))) (+ (* 2 (/ (* x (log y)) z)) (/ (* (pow x 2) (pow (log y) 2)) (* (pow z 2) (log (- 1 y))))))) (+ (/ t z) (+ (/ (* x (log y)) z) (+ (/ (* (+ t (* x (log y))) (- (* 2 (* x (log y))) (+ t (* x (log y))))) (* (pow z 2) (log (- 1 y)))) (/ (pow t 2) (* (pow z 2) (log (- 1 y))))))))) |
(* (pow z 2) (pow (log (- 1 y)) 2)) |
(* (pow z 2) (+ (* 2 (/ (* x (* (log y) (log (- 1 y)))) z)) (pow (log (- 1 y)) 2))) |
(* (pow z 2) (- (+ (* 2 (/ (* x (* (log y) (log (- 1 y)))) z)) (+ (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)) (pow (log (- 1 y)) 2))) (/ (pow t 2) (pow z 2)))) |
(* (pow z 2) (- (+ (* 2 (/ (* x (* (log y) (log (- 1 y)))) z)) (+ (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)) (pow (log (- 1 y)) 2))) (/ (pow t 2) (pow z 2)))) |
(* (pow z 2) (pow (log (- 1 y)) 2)) |
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(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
| Outputs |
|---|
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(- (* -1 t) (* y z)) |
(neg.f64 (fma.f64 z y t)) |
(- (* -1 t) (* y z)) |
(neg.f64 (fma.f64 z y t)) |
(- (* -1 t) (* y z)) |
(neg.f64 (fma.f64 z y t)) |
(* y z) |
(*.f64 z y) |
(+ t (* y z)) |
(fma.f64 z y t) |
(+ t (* y z)) |
(fma.f64 z y t) |
(+ t (* y z)) |
(fma.f64 z y t) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) |
(pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64)) |
(+ (* -1 (pow t 2)) (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2)) |
(fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64))) |
(+ (* -1 (pow t 2)) (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2)) |
(fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64))) |
(+ (* -1 (pow t 2)) (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2)) |
(fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(+ (* -1 t) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(+ (* -1 t) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(+ (* -1 t) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal -1 binary64)) t) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal -1 binary64)) t) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal -1 binary64)) t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal -1 binary64)) t) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal -1 binary64)) t) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal -1 binary64)) t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (* -1 (/ (* y z) t)) 1)) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64)) t) |
(* t (- (* -1 (/ (* y z) t)) 1)) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64)) t) |
(* t (- (* -1 (/ (* y z) t)) 1)) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64)) t) |
t |
(* t (+ 1 (/ (* y z) t))) |
(fma.f64 (/.f64 (*.f64 z y) t) t t) |
(* t (+ 1 (/ (* y z) t))) |
(fma.f64 (/.f64 (*.f64 z y) t) t t) |
(* t (+ 1 (/ (* y z) t))) |
(fma.f64 (/.f64 (*.f64 z y) t) t t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal -1 binary64)) t) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal -1 binary64)) t) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal -1 binary64)) t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* -1 (pow t 2)) |
(*.f64 (neg.f64 t) t) |
(* (pow t 2) (- (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) (pow t 2)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1 binary64)) (*.f64 t t)) |
(* (pow t 2) (- (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) (pow t 2)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1 binary64)) (*.f64 t t)) |
(* (pow t 2) (- (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) (pow t 2)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1 binary64)) (*.f64 t t)) |
(* -1 t) |
(neg.f64 t) |
(* t (- (/ (* x (log y)) t) 1)) |
(*.f64 (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) t) |
(* t (- (/ (* x (log y)) t) 1)) |
(*.f64 (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) t) |
(* t (- (/ (* x (log y)) t) 1)) |
(*.f64 (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) t) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(*.f64 (neg.f64 t) (fma.f64 (neg.f64 z) (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal 1 binary64))) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(*.f64 (neg.f64 t) (fma.f64 (neg.f64 z) (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal 1 binary64))) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(*.f64 (neg.f64 t) (fma.f64 (neg.f64 z) (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal 1 binary64))) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(*.f64 (neg.f64 t) (fma.f64 (neg.f64 z) (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal 1 binary64))) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(*.f64 (neg.f64 t) (fma.f64 (neg.f64 z) (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal 1 binary64))) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(*.f64 (neg.f64 t) (fma.f64 (neg.f64 z) (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal 1 binary64))) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (/ (* y z) t)))) |
(*.f64 (neg.f64 t) (fma.f64 y (/.f64 z t) #s(literal 1 binary64))) |
(* -1 (* t (+ 1 (/ (* y z) t)))) |
(*.f64 (neg.f64 t) (fma.f64 y (/.f64 z t) #s(literal 1 binary64))) |
(* -1 (* t (+ 1 (/ (* y z) t)))) |
(*.f64 (neg.f64 t) (fma.f64 y (/.f64 z t) #s(literal 1 binary64))) |
t |
(* -1 (* t (- (* -1 (/ (* y z) t)) 1))) |
(*.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64))) |
(* -1 (* t (- (* -1 (/ (* y z) t)) 1))) |
(*.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64))) |
(* -1 (* t (- (* -1 (/ (* y z) t)) 1))) |
(*.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64))) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(*.f64 (neg.f64 t) (fma.f64 (neg.f64 z) (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal 1 binary64))) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(*.f64 (neg.f64 t) (fma.f64 (neg.f64 z) (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal 1 binary64))) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(*.f64 (neg.f64 t) (fma.f64 (neg.f64 z) (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal 1 binary64))) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
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(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (neg.f64 x)) (log.f64 y))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (neg.f64 x)) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (neg.f64 x)) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (neg.f64 x)) (log.f64 y))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (neg.f64 x)) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (neg.f64 x)) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (neg.f64 x)) (log.f64 y))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (neg.f64 x)) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (neg.f64 x)) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (neg.f64 x)) (log.f64 y))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* 2 (* z (log (- 1 y)))) (+ t (* z (log (- 1 y))))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (log1p.f64 (neg.f64 y))) (fma.f64 (log1p.f64 (neg.f64 y)) z t)) (neg.f64 x)) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* (pow z 2) (pow (log (- 1 y)) 2)) (pow t 2)) (log y))) (* -1 (/ (* (+ t (* z (log (- 1 y)))) (- (* 2 (* z (log (- 1 y)))) (+ t (* z (log (- 1 y)))))) (log y)))) x)) (* 2 (* z (log (- 1 y))))) (+ t (* z (log (- 1 y))))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (neg.f64 y))) z (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z z) (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t)) (log.f64 y)) #s(literal -1 binary64) (*.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z t) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (log1p.f64 (neg.f64 y))) (fma.f64 (log1p.f64 (neg.f64 y)) z t)) (log.f64 y)))) (neg.f64 x)) (fma.f64 (log1p.f64 (neg.f64 y)) z t))) (neg.f64 x)) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ t (* z (log (- 1 y)))) (- (* -1 (/ (- (* (pow z 2) (pow (log (- 1 y)) 2)) (pow t 2)) (log y))) (* -1 (/ (* (+ t (* z (log (- 1 y)))) (- (* 2 (* z (log (- 1 y)))) (+ t (* z (log (- 1 y)))))) (log y))))) (* x (log y)))) (* -1 (/ (- (* (pow z 2) (pow (log (- 1 y)) 2)) (pow t 2)) (log y)))) (* -1 (/ (* (+ t (* z (log (- 1 y)))) (- (* 2 (* z (log (- 1 y)))) (+ t (* z (log (- 1 y)))))) (log y)))) x)) (* 2 (* z (log (- 1 y))))) (+ t (* z (log (- 1 y))))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (neg.f64 y))) z (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z t) (log.f64 y)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z z) (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t)) (log.f64 y)) #s(literal -1 binary64) (*.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z t) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (log1p.f64 (neg.f64 y))) (fma.f64 (log1p.f64 (neg.f64 y)) z t)) (log.f64 y)))) x) (/.f64 (fma.f64 (*.f64 z z) (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t)) (log.f64 y))) (*.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z t) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (log1p.f64 (neg.f64 y))) (fma.f64 (log1p.f64 (neg.f64 y)) z t)) (log.f64 y)))) (neg.f64 x)) (fma.f64 (log1p.f64 (neg.f64 y)) z t))) (neg.f64 x)) (log.f64 y))) |
(* (pow x 2) (pow (log y) 2)) |
(*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ (* 2 (/ (* z (* (log y) (log (- 1 y)))) x)) (pow (log y) 2))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (log.f64 y)) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* z (* (log y) (log (- 1 y))))) (* -1 (/ (- (* (pow z 2) (pow (log (- 1 y)) 2)) (pow t 2)) x))) x)) (pow (log y) 2))) |
(*.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) z) (log1p.f64 (neg.f64 y))) (log.f64 y) (/.f64 (fma.f64 (*.f64 z z) (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t)) (neg.f64 x))) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* z (* (log y) (log (- 1 y))))) (* -1 (/ (- (* (pow z 2) (pow (log (- 1 y)) 2)) (pow t 2)) x))) x)) (pow (log y) 2))) |
(*.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) z) (log1p.f64 (neg.f64 y))) (log.f64 y) (/.f64 (fma.f64 (*.f64 z z) (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t)) (neg.f64 x))) x)) (*.f64 x x)) |
(* (pow x 2) (pow (log y) 2)) |
(*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ (* 2 (/ (* z (* (log y) (log (- 1 y)))) x)) (pow (log y) 2))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (log.f64 y)) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* z (* (log y) (log (- 1 y))))) (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) x))) x)) (pow (log y) 2))) |
(*.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (log1p.f64 (neg.f64 y)) (log.f64 y))) z (/.f64 (*.f64 (*.f64 z z) (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64))) (neg.f64 x))) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* z (* (log y) (log (- 1 y))))) (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) x))) x)) (pow (log y) 2))) |
(*.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (log1p.f64 (neg.f64 y)) (log.f64 y))) z (/.f64 (*.f64 (*.f64 z z) (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64))) (neg.f64 x))) x)) (*.f64 x x)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) x) (log.f64 y)))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) x) (log.f64 y)))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) x) (log.f64 y)))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 t x)) x) |
(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 t x)) x) |
(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 t x)) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
| 4 672× | lower-fma.f32 |
| 4 642× | lower-fma.f64 |
| 4 214× | lower-*.f32 |
| 4 204× | lower-*.f64 |
| 3 594× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 380 |
| 0 | 92 | 371 |
| 1 | 423 | 371 |
| 2 | 3368 | 371 |
| 0 | 8831 | 352 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(log.f64 y) |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) |
#s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
#s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) |
(neg.f64 (fma.f64 z y t)) |
(fma.f64 z y t) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t)) |
#s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
#s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) t))) |
(-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) |
(pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) |
(fma.f64 (log.f64 y) x (neg.f64 t)) |
(*.f64 x (log.f64 y)) |
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Compiled 51 625 to 3 742 computations (92.8% saved)
26 alts after pruning (22 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 414 | 15 | 1 429 |
| Fresh | 9 | 7 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 425 | 26 | 1 451 |
| Status | Accuracy | Program |
|---|---|---|
| 48.9% | (fma.f64 (sqrt.f64 (fma.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (*.f64 x (log.f64 y)))) (sqrt.f64 (fma.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (*.f64 x (log.f64 y)))) (neg.f64 t)) | |
| ✓ | 99.8% | (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
| ▶ | 99.2% | (fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
| 85.5% | (fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 t))) | |
| 86.6% | (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) t))) | |
| 86.6% | (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) x) t))))) | |
| 57.5% | (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (log.f64 y) x))) | |
| 57.4% | (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (neg.f64 t))) | |
| 99.2% | (fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) |
| 71.0% | (-.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) | |
| 93.5% | (-.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) | |
| ▶ | 88.4% | (-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) t) |
| 43.1% | #s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) x (*.f64 (neg.f64 t) t)) (fma.f64 (log.f64 y) x t))) | |
| 84.4% | #s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t)) | |
| 43.7% | #s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (*.f64 (log.f64 y) x)) | |
| ✓ | 57.4% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
| 57.4% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 y) -1/3) #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) | |
| ▶ | 23.9% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
| ✓ | 44.0% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
| 57.4% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 z)) y) t))) | |
| ✓ | 57.0% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
| 47.4% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t z) y) z))))) | |
| 38.0% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t y) z) y))))) | |
| ▶ | 15.1% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
| 50.9% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64)) t)))) |
Compiled 768 to 609 computations (20.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) t) | |
| cost-diff | 704 | (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z) | |
| cost-diff | 0 | (neg.f64 (fma.f64 z y t)) | |
| cost-diff | 0 | #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t))) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t)))) | |
| cost-diff | 0 | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 t t)) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) t) | |
| cost-diff | 1024 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)) | |
| cost-diff | 0 | #s(approx (+ (* z y) t) (*.f64 z y)) | |
| cost-diff | 0 | (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))) | |
| cost-diff | 0 | #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y)))) | |
| cost-diff | 0 | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) | |
| cost-diff | 0 | (log1p.f64 (neg.f64 y)) | |
| cost-diff | 0 | (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) |
| 3 936× | lower-fma.f32 |
| 3 926× | lower-fma.f64 |
| 3 482× | lower-*.f32 |
| 3 476× | lower-*.f64 |
| 1 634× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 368 |
| 0 | 91 | 339 |
| 1 | 171 | 335 |
| 2 | 348 | 331 |
| 3 | 746 | 331 |
| 4 | 1749 | 328 |
| 5 | 4065 | 310 |
| 6 | 5663 | 310 |
| 7 | 6727 | 310 |
| 8 | 7835 | 310 |
| 0 | 8115 | 307 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
y |
z |
(fma.f64 (log.f64 y) x (neg.f64 t)) |
(log.f64 y) |
x |
(neg.f64 t) |
t |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
#s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y)))) |
(neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))) |
#s(approx (+ (* z y) t) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)) |
(-.f64 #s(literal 0 binary64) (*.f64 t t)) |
#s(literal 0 binary64) |
(*.f64 t t) |
t |
(+.f64 #s(literal 0 binary64) t) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
(log.f64 y) |
y |
x |
#s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t))) |
(neg.f64 (fma.f64 z y t)) |
(fma.f64 z y t) |
z |
t |
(-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) t) |
#s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) |
(*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z) |
(fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) |
x |
(/.f64 (log.f64 y) z) |
(log.f64 y) |
y |
z |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
t |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) |
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) |
(/.f64 #s(literal -1 binary64) (-.f64 t (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
y |
z |
(fma.f64 (log.f64 y) x (neg.f64 t)) |
(fma.f64 x (log.f64 y) (neg.f64 t)) |
(log.f64 y) |
x |
(neg.f64 t) |
t |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
#s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y)))) |
(neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))) |
#s(approx (+ (* z y) t) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)) |
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) (*.f64 t t)) |
(*.f64 (neg.f64 t) t) |
#s(literal 0 binary64) |
(*.f64 t t) |
t |
(+.f64 #s(literal 0 binary64) t) |
t |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
(fma.f64 x (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
(log.f64 y) |
y |
x |
#s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t))) |
#s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t))) |
(neg.f64 (fma.f64 z y t)) |
(fma.f64 z y t) |
z |
t |
(-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) t) |
(-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y)))) t) |
#s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) |
#s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y)))) |
(*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) |
(fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) |
(fma.f64 (/.f64 x z) (log.f64 y) (log1p.f64 (neg.f64 y))) |
x |
(/.f64 (log.f64 y) z) |
(log.f64 y) |
y |
z |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) t) | |
| accuracy | 0.16015625 | (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) | |
| accuracy | 0.2265625 | (/.f64 (log.f64 y) z) | |
| accuracy | 7.415521119814682 | (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z) | |
| accuracy | 0 | (neg.f64 (fma.f64 z y t)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.11328125 | (fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t)))) | |
| accuracy | 0.5993299651713407 | #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t))) | |
| accuracy | 0 | (+.f64 #s(literal 0 binary64) t) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 27.194887565722208 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)) | |
| accuracy | 35.85746125749817 | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) | |
| accuracy | 0 | (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))) | |
| accuracy | 0.5993299651713407 | #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y)))) | |
| accuracy | 27.239985091453093 | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) | |
| accuracy | 45.776258458320285 | #s(approx (+ (* z y) t) (*.f64 z y)) | |
| accuracy | 0.00390625 | (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) | |
| accuracy | 0.12890625 | (fma.f64 (log.f64 y) x (neg.f64 t)) | |
| accuracy | 0.16796875 | (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) | |
| accuracy | 0.26171875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) |
| 116.0ms | 126× | 1 | valid |
| 59.0ms | 130× | 0 | valid |
Compiled 329 to 51 computations (84.5% saved)
ival-mult: 35.0ms (24.4% of total)ival-log: 34.0ms (23.7% of total)ival-add: 16.0ms (11.2% of total)ival-sub: 15.0ms (10.5% of total)ival-div: 14.0ms (9.8% of total)adjust: 12.0ms (8.4% of total)ival-pow2: 8.0ms (5.6% of total)ival-neg: 6.0ms (4.2% of total)ival-log1p: 3.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) (patch (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (neg.f64 y)) (patch (log1p.f64 (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y)))) (patch #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))) (patch (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z y) t) (*.f64 z y)) (patch #s(approx (+ (* z y) t) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) t) (patch (+.f64 #s(literal 0 binary64) t) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 t t)) (patch (-.f64 #s(literal 0 binary64) (*.f64 t t)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t)))) (patch (fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t)))) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t))) (patch #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 z y t)) (patch (neg.f64 (fma.f64 z y t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z) (patch (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) t) (patch (-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) (patch #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) (patch (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log.f64 y) x (neg.f64 t)) (patch (fma.f64 (log.f64 y) x (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 y) z) (patch (/.f64 (log.f64 y) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (+ (* x (log y)) (* z (log (- 1 y))))) (/ t (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (/ 1 (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2)) (/ t (pow (+ (* x (log y)) (* z (log (- 1 y)))) 3)))) (/ 1 (+ (* x (log y)) (* z (log (- 1 y)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (/ 1 (pow (+ (* x (log y)) (* z (log (- 1 y)))) 3)) (/ t (pow (+ (* x (log y)) (* z (log (- 1 y)))) 4)))) (/ 1 (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2)))) (/ 1 (+ (* x (log y)) (* z (log (- 1 y)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) (patch (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) (patch (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) (patch (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) (patch (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) #<representation binary64>) () ())) ()) |
#s(alt (* z (log (- 1 y))) (taylor 0 t) (#s(alt #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y)))) (patch #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (log y)) (/ t x)))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 y) x (neg.f64 t)) (patch (fma.f64 (log.f64 y) x (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ t x)))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 y) x (neg.f64 t)) (patch (fma.f64 (log.f64 y) x (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ t x)))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 y) x (neg.f64 t)) (patch (fma.f64 (log.f64 y) x (neg.f64 t)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | z | @ | -inf | ((/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg (+ (* z y) t)) (+ (* z y) t) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log y) x) (+ (* (log (- 1 y)) z) (neg t))) (log y) (+ (* (log (- 1 y)) z) (neg t)) (neg (+ (* z y) t)) (* (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) z) (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) (+ (* (log y) x) (neg t)) (* t t) (/ (log y) z)) |
| 13.0ms | z | @ | inf | ((/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg (+ (* z y) t)) (+ (* z y) t) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log y) x) (+ (* (log (- 1 y)) z) (neg t))) (log y) (+ (* (log (- 1 y)) z) (neg t)) (neg (+ (* z y) t)) (* (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) z) (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) (+ (* (log y) x) (neg t)) (* t t) (/ (log y) z)) |
| 11.0ms | y | @ | -inf | ((/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg (+ (* z y) t)) (+ (* z y) t) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log y) x) (+ (* (log (- 1 y)) z) (neg t))) (log y) (+ (* (log (- 1 y)) z) (neg t)) (neg (+ (* z y) t)) (* (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) z) (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) (+ (* (log y) x) (neg t)) (* t t) (/ (log y) z)) |
| 11.0ms | z | @ | 0 | ((/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg (+ (* z y) t)) (+ (* z y) t) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log y) x) (+ (* (log (- 1 y)) z) (neg t))) (log y) (+ (* (log (- 1 y)) z) (neg t)) (neg (+ (* z y) t)) (* (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) z) (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) (+ (* (log y) x) (neg t)) (* t t) (/ (log y) z)) |
| 11.0ms | t | @ | 0 | ((/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (log (+ 1 (neg y))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg (+ (* z y) t)) (+ (* z y) t) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log y) x) (+ (* (log (- 1 y)) z) (neg t))) (log y) (+ (* (log (- 1 y)) z) (neg t)) (neg (+ (* z y) t)) (* (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) z) (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) (+ (* (log y) x) (neg t)) (* t t) (/ (log y) z)) |
| 1× | egg-herbie |
| 9 894× | lower-fma.f64 |
| 9 894× | lower-fma.f32 |
| 5 638× | lower-+.f64 |
| 5 638× | lower-+.f32 |
| 5 158× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 951 | 17528 |
| 1 | 3250 | 15936 |
| 0 | 8552 | 14894 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(/ 1 (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (/ 1 (+ (* x (log y)) (* z (log (- 1 y))))) (/ t (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2))) |
(+ (* t (+ (/ 1 (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2)) (/ t (pow (+ (* x (log y)) (* z (log (- 1 y)))) 3)))) (/ 1 (+ (* x (log y)) (* z (log (- 1 y)))))) |
(+ (* t (+ (* t (+ (/ 1 (pow (+ (* x (log y)) (* z (log (- 1 y)))) 3)) (/ t (pow (+ (* x (log y)) (* z (log (- 1 y)))) 4)))) (/ 1 (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2)))) (/ 1 (+ (* x (log y)) (* z (log (- 1 y)))))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(* z (log (- 1 y))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(* -1 (* y z)) |
(- (* -1 t) (* y z)) |
(- (* -1 t) (* y z)) |
(- (* -1 t) (* y z)) |
(* y z) |
(+ t (* y z)) |
(+ t (* y z)) |
(+ t (* y z)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
t |
t |
t |
t |
(* -1 (pow t 2)) |
(* -1 (pow t 2)) |
(* -1 (pow t 2)) |
(* -1 (pow t 2)) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(* z (log (- 1 y))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(* -1 (* y z)) |
(- (* -1 t) (* y z)) |
(- (* -1 t) (* y z)) |
(- (* -1 t) (* y z)) |
(- (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) |
(- (+ (* -1 t) (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) |
(- (+ (* -1 t) (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) |
(- (+ (* -1 t) (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) |
(* x (log y)) |
(+ (* -1 t) (* x (log y))) |
(+ (* -1 t) (* x (log y))) |
(+ (* -1 t) (* x (log y))) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(/ -1 t) |
(/ (- (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t)) 1) t) |
(/ (- (* -1 (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) (pow t 2))) (+ 1 (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)))) t) |
(/ (- (* -1 (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 3) (pow t 3))) (+ 1 (+ (/ (* x (log y)) t) (+ (/ (* z (log (- 1 y))) t) (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) (pow t 2)))))) t) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* -1 t) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* t (- (/ (* z (log (- 1 y))) t) 1)) |
(* -1 t) |
(* t (- (* -1 (/ (* y z) t)) 1)) |
(* t (- (* -1 (/ (* y z) t)) 1)) |
(* t (- (* -1 (/ (* y z) t)) 1)) |
t |
(* t (+ 1 (/ (* y z) t))) |
(* t (+ 1 (/ (* y z) t))) |
(* t (+ 1 (/ (* y z) t))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
t |
t |
t |
t |
(* -1 (pow t 2)) |
(* -1 (pow t 2)) |
(* -1 (pow t 2)) |
(* -1 (pow t 2)) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* -1 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(* -1 t) |
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(* t (- (/ (* z (log (- 1 y))) t) 1)) |
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(* -1 t) |
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(* t (- (* -1 (/ (* y z) t)) 1)) |
(* t (- (* -1 (/ (* y z) t)) 1)) |
(* -1 t) |
(* t (- (/ (* (pow x 2) (pow (log y) 2)) (* t (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (+ 1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* t (+ (* -1 (* z (log (- 1 y)))) (* x (log y)))))))) |
(* t (- (/ (* (pow x 2) (pow (log y) 2)) (* t (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (+ 1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* t (+ (* -1 (* z (log (- 1 y)))) (* x (log y)))))))) |
(* t (- (/ (* (pow x 2) (pow (log y) 2)) (* t (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (+ 1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* t (+ (* -1 (* z (log (- 1 y)))) (* x (log y)))))))) |
(* -1 t) |
(* t (- (/ (* x (log y)) t) 1)) |
(* t (- (/ (* x (log y)) t) 1)) |
(* t (- (/ (* x (log y)) t) 1)) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(/ -1 t) |
(* -1 (/ (+ 1 (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t))) t)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) t)) (+ (* x (log y)) (* z (log (- 1 y))))) t))) t)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 3) t) (* -1 (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2))) t)) (+ (* x (log y)) (* z (log (- 1 y))))) t))) t)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (/ (* y z) t)))) |
(* -1 (* t (+ 1 (/ (* y z) t)))) |
(* -1 (* t (+ 1 (/ (* y z) t)))) |
t |
(* -1 (* t (- (* -1 (/ (* y z) t)) 1))) |
(* -1 (* t (- (* -1 (/ (* y z) t)) 1))) |
(* -1 (* t (- (* -1 (/ (* y z) t)) 1))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
t |
t |
t |
t |
(* -1 (pow t 2)) |
(* -1 (pow t 2)) |
(* -1 (pow t 2)) |
(* -1 (pow t 2)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (* z (log (- 1 y))) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (/ (* y z) t)))) |
(* -1 (* t (+ 1 (/ (* y z) t)))) |
(* -1 (* t (+ 1 (/ (* y z) t)))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (- (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (* x (log y)) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (* x (log y)) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (* x (log y)) t))))) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(- (* x (log y)) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(/ 1 (- (* x (log y)) t)) |
(+ (* -1 (/ (* z (log (- 1 y))) (pow (- (* x (log y)) t) 2))) (/ 1 (- (* x (log y)) t))) |
(+ (* z (- (/ (* z (pow (log (- 1 y)) 2)) (pow (- (* x (log y)) t) 3)) (/ (log (- 1 y)) (pow (- (* x (log y)) t) 2)))) (/ 1 (- (* x (log y)) t))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (log (- 1 y)) 3)) (pow (- (* x (log y)) t) 4))) (* -1 (/ (pow (log (- 1 y)) 2) (pow (- (* x (log y)) t) 3))))) (/ (log (- 1 y)) (pow (- (* x (log y)) t) 2)))) (/ 1 (- (* x (log y)) t))) |
(- (* x (log y)) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (* x (log y)) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(* -1 t) |
(- (* z (log (- 1 y))) t) |
(- (* z (log (- 1 y))) t) |
(- (* z (log (- 1 y))) t) |
(* -1 t) |
(- (* -1 (* y z)) t) |
(- (* -1 (* y z)) t) |
(- (* -1 (* y z)) t) |
t |
(+ t (* y z)) |
(+ t (* y z)) |
(+ t (* y z)) |
(- (* x (log y)) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (* x (log y)) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(- (+ (* x (log y)) (* z (log (- 1 y)))) t) |
(* -1 t) |
(- (* z (log (- 1 y))) t) |
(- (* z (log (- 1 y))) t) |
(- (* z (log (- 1 y))) t) |
(* -1 t) |
(- (* -1 (* y z)) t) |
(- (* -1 (* y z)) t) |
(- (* -1 (* y z)) t) |
(* x (log y)) |
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(/ (- (+ (/ 1 (log y)) (+ (/ t (* x (pow (log y) 2))) (/ (* (pow (- (* z (log (- 1 y))) t) 2) (- (/ t (pow (log y) 2)) (/ (* z (log (- 1 y))) (pow (log y) 2)))) (* (pow x 3) (pow (log y) 2))))) (+ (/ (* z (log (- 1 y))) (* x (pow (log y) 2))) (/ (* (- (* z (log (- 1 y))) t) (- (/ t (pow (log y) 2)) (/ (* z (log (- 1 y))) (pow (log y) 2)))) (* (pow x 2) (log y))))) x) |
(* x (log y)) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (log y)) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (log y)) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (log y)) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (- (+ (log y) (/ (* z (log (- 1 y))) x)) (/ t x))) |
(* x (log y)) |
(* x (+ (log y) (/ (* z (log (- 1 y))) x))) |
(* x (+ (log y) (/ (* z (log (- 1 y))) x))) |
(* x (+ (log y) (/ (* z (log (- 1 y))) x))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ t (* -1 (* z (log (- 1 y))))) x)))) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (pow x 2)))) (+ (* -1 (/ (* z (log (- 1 y))) x)) (/ t x)))) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (pow x 2)))) (+ (* -1 (/ (* z (log (- 1 y))) x)) (/ t x)))) |
(* x (log y)) |
(* x (+ (log y) (/ (* z (log (- 1 y))) x))) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (pow x 2)))) (* -1 (/ (* z (log (- 1 y))) x)))) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (pow x 2)))) (* -1 (/ (* z (log (- 1 y))) x)))) |
(/ (* x (log y)) z) |
(* x (+ (/ (log y) z) (/ (log (- 1 y)) x))) |
(* x (+ (/ (log y) z) (/ (log (- 1 y)) x))) |
(* x (+ (/ (log y) z) (/ (log (- 1 y)) x))) |
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(* x (+ (log y) (* -1 (/ t x)))) |
(* x (+ (log y) (* -1 (/ t x)))) |
(* x (+ (log y) (* -1 (/ t x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(/ 1 (* x (log y))) |
(* -1 (/ (- (* -1 (/ (- (/ t (pow (log y) 2)) (/ (* z (log (- 1 y))) (pow (log y) 2))) x)) (/ 1 (log y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (* z (log (- 1 y))) t) (- (/ t (pow (log y) 2)) (/ (* z (log (- 1 y))) (pow (log y) 2)))) (* x (log y)))) (/ t (pow (log y) 2))) (/ (* z (log (- 1 y))) (pow (log y) 2))) x)) (/ 1 (log y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (* z (log (- 1 y))) t) 2) (- (/ t (pow (log y) 2)) (/ (* z (log (- 1 y))) (pow (log y) 2)))) (* x (pow (log y) 2)))) (* -1 (/ (* (- (* z (log (- 1 y))) t) (- (/ t (pow (log y) 2)) (/ (* z (log (- 1 y))) (pow (log y) 2)))) (log y)))) x)) (/ t (pow (log y) 2))) (/ (* z (log (- 1 y))) (pow (log y) 2))) x)) (/ 1 (log y))) x)) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (* -1 (/ (* z (log (- 1 y))) x)) (/ t x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (+ t (* -1 (* z (log (- 1 y)))))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (+ t (* -1 (* z (log (- 1 y)))))) x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (* -1 (* z (log (- 1 y))))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (* -1 (* z (log (- 1 y))))) x))))) |
(/ (* x (log y)) z) |
(* -1 (* x (+ (* -1 (/ (log y) z)) (* -1 (/ (log (- 1 y)) x))))) |
(* -1 (* x (+ (* -1 (/ (log y) z)) (* -1 (/ (log (- 1 y)) x))))) |
(* -1 (* x (+ (* -1 (/ (log y) z)) (* -1 (/ (log (- 1 y)) x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
| Outputs |
|---|
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(/ 1 (+ (* x (log y)) (* z (log (- 1 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x))) |
(+ (/ 1 (+ (* x (log y)) (* z (log (- 1 y))))) (/ t (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2))) |
(+.f64 (/.f64 t (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)))) |
(+ (* t (+ (/ 1 (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2)) (/ t (pow (+ (* x (log y)) (* z (log (- 1 y)))) 3)))) (/ 1 (+ (* x (log y)) (* z (log (- 1 y)))))) |
(fma.f64 (+.f64 (/.f64 t (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64)))) t (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)))) |
(+ (* t (+ (* t (+ (/ 1 (pow (+ (* x (log y)) (* z (log (- 1 y)))) 3)) (/ t (pow (+ (* x (log y)) (* z (log (- 1 y)))) 4)))) (/ 1 (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2)))) (/ 1 (+ (* x (log y)) (* z (log (- 1 y)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 t (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 3 binary64)))) t (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64)))) t (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)))) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(- (* -1 t) (* y z)) |
(neg.f64 (fma.f64 z y t)) |
(- (* -1 t) (* y z)) |
(neg.f64 (fma.f64 z y t)) |
(- (* -1 t) (* y z)) |
(neg.f64 (fma.f64 z y t)) |
(* y z) |
(*.f64 z y) |
(+ t (* y z)) |
(fma.f64 z y t) |
(+ t (* y z)) |
(fma.f64 z y t) |
(+ t (* y z)) |
(fma.f64 z y t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
t |
t |
t |
t |
(* -1 (pow t 2)) |
(*.f64 (neg.f64 t) t) |
(* -1 (pow t 2)) |
(*.f64 (neg.f64 t) t) |
(* -1 (pow t 2)) |
(*.f64 (neg.f64 t) t) |
(* -1 (pow t 2)) |
(*.f64 (neg.f64 t) t) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* x (log y)) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (-.f64 (*.f64 (log.f64 y) x) t)) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(+ (* -1 t) (* z (log (- 1 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(- (* -1 t) (* y z)) |
(neg.f64 (fma.f64 z y t)) |
(- (* -1 t) (* y z)) |
(neg.f64 (fma.f64 z y t)) |
(- (* -1 t) (* y z)) |
(neg.f64 (fma.f64 z y t)) |
(- (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) |
(- (+ (* -1 t) (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 t)) (*.f64 (*.f64 z z) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) |
(- (+ (* -1 t) (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 t)) (*.f64 (*.f64 z z) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) |
(- (+ (* -1 t) (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 t)) (*.f64 (*.f64 z z) (/.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(+ (* -1 t) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(+ (* -1 t) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(+ (* -1 t) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ (- (* -1 (/ (+ (* x (log y)) (* z (log (- 1 y)))) t)) 1) t) |
(/.f64 (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) (neg.f64 t)) #s(literal 1 binary64)) t) |
(/ (- (* -1 (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) (pow t 2))) (+ 1 (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)))) t) |
(/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t)) (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal 1 binary64)))) t) |
(/ (- (* -1 (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 3) (pow t 3))) (+ 1 (+ (/ (* x (log y)) t) (+ (/ (* z (log (- 1 y))) t) (/ (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2) (pow t 2)))))) t) |
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 3 binary64)) (neg.f64 (pow.f64 t #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 x (/.f64 (log.f64 y) t) (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (/.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64)) (*.f64 t t))))) t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t) |
(* t (- (+ (/ (* x (log y)) t) (/ (* z (log (- 1 y))) t)) 1)) |
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(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (neg.f64 x)) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (* z (log (- 1 y))) t) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (neg.f64 x)) (log.f64 y))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) x) (log.f64 y)))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) x) (log.f64 y)))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) x) (log.f64 y)))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (* -1 (/ (* z (log (- 1 y))) x)) (/ t x))))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (log1p.f64 (neg.f64 y)) x) (-.f64 (/.f64 t x) (log.f64 y)))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (+ t (* -1 (* z (log (- 1 y)))))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (neg.f64 x)) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (+ t (* -1 (* z (log (- 1 y)))))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (neg.f64 x)) (log.f64 y))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (* z (log (- 1 y))) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) x) (log.f64 y)))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (* -1 (* z (log (- 1 y))))) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) x) (log.f64 y)))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (* -1 (* z (log (- 1 y))))) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) x) (log.f64 y)))) |
(/ (* x (log y)) z) |
(/.f64 (*.f64 (log.f64 y) x) z) |
(* -1 (* x (+ (* -1 (/ (log y) z)) (* -1 (/ (log (- 1 y)) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (neg.f64 y)) (neg.f64 x)) (/.f64 (log.f64 y) z))) |
(* -1 (* x (+ (* -1 (/ (log y) z)) (* -1 (/ (log (- 1 y)) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (neg.f64 y)) (neg.f64 x)) (/.f64 (log.f64 y) z))) |
(* -1 (* x (+ (* -1 (/ (log y) z)) (* -1 (/ (log (- 1 y)) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (neg.f64 y)) (neg.f64 x)) (/.f64 (log.f64 y) z))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 t x)) x) |
(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 t x)) x) |
(* -1 (* x (+ (* -1 (log y)) (/ t x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 t x)) x) |
| 4 468× | lower-fma.f32 |
| 4 458× | lower-fma.f64 |
| 3 572× | lower-/.f32 |
| 3 564× | lower-/.f64 |
| 2 838× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 331 |
| 0 | 91 | 312 |
| 1 | 411 | 240 |
| 2 | 3088 | 229 |
| 0 | 8718 | 223 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(log1p.f64 (neg.f64 y)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
#s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y)))) |
(neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))) |
#s(approx (+ (* z y) t) (*.f64 z y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)) |
(+.f64 #s(literal 0 binary64) t) |
(-.f64 #s(literal 0 binary64) (*.f64 t t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
(log.f64 y) |
#s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t))) |
(neg.f64 (fma.f64 z y t)) |
(*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z) |
(-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) t) |
#s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) |
(fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) |
(fma.f64 (log.f64 y) x (neg.f64 t)) |
(*.f64 t t) |
(/.f64 (log.f64 y) z) |
| Outputs |
|---|
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Compiled 43 549 to 4 354 computations (90% saved)
33 alts after pruning (28 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 785 | 11 | 1 796 |
| Fresh | 0 | 17 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 789 | 33 | 1 822 |
| Status | Accuracy | Program |
|---|---|---|
| 48.9% | (fma.f64 (sqrt.f64 (fma.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (*.f64 x (log.f64 y)))) (sqrt.f64 (fma.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (*.f64 x (log.f64 y)))) (neg.f64 t)) | |
| ✓ | 99.8% | (fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
| 85.5% | (fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 t))) | |
| 56.9% | (fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (neg.f64 z) y)))) | |
| 86.6% | (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) t))) | |
| 86.6% | (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) x) t))))) | |
| 57.5% | (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (log.f64 y) x))) | |
| 57.4% | (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (neg.f64 t))) | |
| 99.2% | (fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) | |
| 43.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (*.f64 (log.f64 y) x)))) | |
| 43.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 t (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 z (/.f64 (log1p.f64 (neg.f64 y)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 y))) (neg.f64 x)))) | |
| 43.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 #s(literal -1 binary64) t))) | |
| 71.0% | (-.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) | |
| 93.5% | (-.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) | |
| 88.4% | (-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 (log.f64 y) (/.f64 x z) (log1p.f64 (neg.f64 y))) z)) t) | |
| 87.8% | (-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) #s(approx (log (+ 1 (neg y))) (neg.f64 y))) z)) t) | |
| 48.6% | (-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 (log1p.f64 (neg.f64 y)) (*.f64 (/.f64 (log.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (log.f64 y) z) x) #s(literal 2 binary64)))) z)) t) | |
| 74.1% | (-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 #s(approx (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) (/.f64 (*.f64 (log.f64 y) x) z)) z)) t) | |
| 43.1% | #s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) x (*.f64 (neg.f64 t) t)) (fma.f64 (log.f64 y) x t))) | |
| 84.4% | #s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t)) | |
| 43.7% | #s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (*.f64 (log.f64 y) x)) | |
| ✓ | 57.4% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
| 57.4% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 y) -1/3) #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) | |
| 23.9% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)) | |
| 2.3% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) | |
| ✓ | 44.0% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
| 57.4% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 z)) y) t))) | |
| ✓ | 57.0% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
| 47.4% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t z) y) z))))) | |
| 38.0% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t y) z) y))))) | |
| ✓ | 15.1% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
| 50.9% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64)) t)))) | |
| 2.3% | #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
Compiled 1 522 to 664 computations (56.4% saved)
| Inputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t y) z) y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t z) y) z))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 z)) y) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64)) t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 y) -1/3) #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 t))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (neg.f64 z) y)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 (fma.f64 z y t)))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (neg.f64 y)))) t) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (log.f64 y) x))) |
(-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 #s(approx (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) (/.f64 (*.f64 (log.f64 y) x) z)) z)) t) |
(-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (fma.f64 (log.f64 y) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) z) y))) t) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) #s(approx (log (+ 1 (neg y))) (neg.f64 y))) z)) t) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (*.f64 (log.f64 y) x)))) |
(fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) t) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) x) t))))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
(-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) t) |
(-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 (log.f64 y) (/.f64 x z) (log1p.f64 (neg.f64 y))) z)) t) |
(fma.f64 (log1p.f64 (neg.f64 y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) t))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) x) t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) |
#s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t)) |
(fma.f64 (sqrt.f64 (fma.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (*.f64 x (log.f64 y)))) (sqrt.f64 (fma.f64 z #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) (*.f64 x (log.f64 y)))) (neg.f64 t)) |
#s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) x (*.f64 (neg.f64 t) t)) (fma.f64 (log.f64 y) x t))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t)) (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) t))) |
(/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64))) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x t))) |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) #s(approx (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (*.f64 (log1p.f64 (neg.f64 y)) z))) t) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x t))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 t (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 z (/.f64 (log1p.f64 (neg.f64 y)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 y))) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (fma.f64 x (log.f64 y) t)) (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (*.f64 x (log.f64 y))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) |
(-.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) |
(-.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))))) t) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x t)) t (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64)))) |
(-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 (log1p.f64 (neg.f64 y)) (*.f64 (/.f64 (log.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (log.f64 y) z) x) #s(literal 2 binary64)))) z)) t) |
| Outputs |
|---|
(fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
6 calls:
| 20.0ms | y |
| 20.0ms | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 19.0ms | t |
| 19.0ms | z |
| 16.0ms | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | t |
| 99.8% | 1 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 99.8% | 1 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
Compiled 28 to 39 computations (-39.3% saved)
| Inputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t y) z) y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t z) y) z))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 z)) y) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64)) t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 y) -1/3) #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 t))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (neg.f64 z) y)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 (fma.f64 z y t)))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (neg.f64 y)))) t) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (log.f64 y) x))) |
(-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 #s(approx (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) (/.f64 (*.f64 (log.f64 y) x) z)) z)) t) |
(-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (fma.f64 (log.f64 y) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) z) y))) t) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) #s(approx (log (+ 1 (neg y))) (neg.f64 y))) z)) t) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (*.f64 (log.f64 y) x)))) |
| Outputs |
|---|
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
6 calls:
| 169.0ms | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 14.0ms | y |
| 10.0ms | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 10.0ms | t |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | t |
| 99.8% | 1 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 99.8% | 1 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
Compiled 28 to 39 computations (-39.3% saved)
| Inputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t y) z) y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t z) y) z))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 z)) y) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64)) t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 y) -1/3) #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 t))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (neg.f64 z) y)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 (fma.f64 z y t)))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (neg.f64 y)))) t) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (log.f64 y) x))) |
(-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 #s(approx (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) (/.f64 (*.f64 (log.f64 y) x) z)) z)) t) |
(-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (fma.f64 (log.f64 y) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) z) y))) t) |
| Outputs |
|---|
(-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (fma.f64 (log.f64 y) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) z) y))) t) |
6 calls:
| 14.0ms | t |
| 13.0ms | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 9.0ms | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 9.0ms | z |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | t |
| 99.8% | 1 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 99.8% | 1 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
Compiled 28 to 39 computations (-39.3% saved)
| Inputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t y) z) y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t z) y) z))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 z)) y) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64)) t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 y) -1/3) #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 t))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (neg.f64 z) y)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 (fma.f64 z y t)))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z #s(approx (log (- 1 y)) (neg.f64 y)))) t) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (*.f64 (log.f64 y) x))) |
(-.f64 #s(approx (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 #s(approx (+ (* x (/ (log y) z)) (log (+ 1 (neg y)))) (/.f64 (*.f64 (log.f64 y) x) z)) z)) t) |
| Outputs |
|---|
(fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
6 calls:
| 26.0ms | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 18.0ms | y |
| 9.0ms | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 9.0ms | t |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | y |
| 99.2% | 1 | z |
| 99.2% | 1 | t |
| 99.2% | 1 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 99.2% | 1 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
Compiled 28 to 39 computations (-39.3% saved)
| Inputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t y) z) y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t z) y) z))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 z)) y) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64)) t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 y) -1/3) #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 t))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (neg.f64 z) y)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 (fma.f64 z y t)))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
| Outputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 (fma.f64 z y t)))) |
6 calls:
| 13.0ms | x |
| 11.0ms | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 9.0ms | z |
| 8.0ms | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 8.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | z |
| 99.2% | 1 | t |
| 99.2% | 1 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 99.2% | 1 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 99.2% | 1 | x |
| 99.2% | 1 | y |
Compiled 28 to 39 computations (-39.3% saved)
| Inputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t y) z) y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t z) y) z))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 z)) y) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64)) t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 y) -1/3) #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 t))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) |
(fma.f64 (log.f64 y) x #s(approx (+ (* (log (- 1 y)) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (neg.f64 z) y)))) |
| Outputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 t))) |
6 calls:
| 37.0ms | t |
| 8.0ms | z |
| 8.0ms | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 8.0ms | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 3 | x |
| 85.5% | 1 | y |
| 90.3% | 3 | z |
| 92.2% | 3 | t |
| 92.0% | 3 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 94.2% | 3 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
Compiled 28 to 39 computations (-39.3% saved)
| Inputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t y) z) y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t z) y) z))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 z)) y) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64)) t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 y) -1/3) #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (* x x) (/ (pow (log y) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ (- (pow (+ (* (log (- 1 y)) z) (* x (log y))) 2) (* t t)) (+ (* (log (- 1 y)) z) (+ (* x (log y)) t))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
| Outputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
6 calls:
| 25.0ms | x |
| 9.0ms | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 7.0ms | z |
| 6.0ms | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 6.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.4% | 1 | y |
| 66.4% | 5 | z |
| 62.6% | 3 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 71.2% | 3 | t |
| 81.1% | 3 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 81.8% | 3 | x |
Compiled 28 to 39 computations (-39.3% saved)
| Inputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t y) z) y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t z) y) z))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 z)) y) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64)) t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 y) -1/3) #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
| Outputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
6 calls:
| 8.0ms | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 7.0ms | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 6.0ms | t |
| 6.0ms | z |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.4% | 1 | y |
| 57.4% | 1 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 57.4% | 1 | z |
| 57.4% | 1 | t |
| 57.4% | 1 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 57.4% | 1 | x |
Compiled 28 to 39 computations (-39.3% saved)
| Inputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z #s(approx (+ (* (log y) x) (neg t)) (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t y) z) y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 (+.f64 (/.f64 t z) y) z))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 z)) y) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) #s(approx (neg (+ (* z y) t)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z t) #s(literal -1 binary64)) t)))) |
| Outputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
3 calls:
| 7.0ms | z |
| 5.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.4% | 1 | x |
| 57.4% | 1 | y |
| 57.4% | 1 | z |
Compiled 3 to 12 computations (-300% saved)
| Inputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)) |
| Outputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
6 calls:
| 4.0ms | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 3.0ms | z |
| 3.0ms | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 3.0ms | y |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 1 | t |
| 57.0% | 1 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 57.0% | 1 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 57.0% | 1 | x |
| 57.0% | 1 | y |
| 57.0% | 1 | z |
Compiled 28 to 39 computations (-39.3% saved)
| Inputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
| Outputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
6 calls:
| 2.0ms | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 2.0ms | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 2.0ms | y |
| 2.0ms | t |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.7% | 3 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 44.0% | 1 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 50.6% | 3 | t |
| 44.0% | 1 | x |
| 44.0% | 1 | y |
| 46.2% | 2 | z |
Compiled 28 to 39 computations (-39.3% saved)
| Inputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
| Outputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
4 calls:
| 2.0ms | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 2.0ms | x |
| 2.0ms | t |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.0% | 1 | x |
| 44.0% | 1 | z |
| 44.0% | 1 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 44.0% | 1 | t |
Compiled 16 to 24 computations (-50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
| Outputs |
|---|
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
6 calls:
| 1.0ms | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 1.0ms | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.3% | 1 | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 2.3% | 1 | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 2.3% | 1 | y |
| 2.3% | 1 | z |
| 2.3% | 1 | t |
| 2.3% | 1 | x |
Compiled 28 to 39 computations (-39.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 1.4091258406427947e-127 | 1.1765875600868845e-124 |
| 39.0ms | -6.379302221469769e-6 | -2.84161312408374e-6 |
| 60.0ms | 97× | 1 | valid |
| 9.0ms | 111× | 0 | valid |
Compiled 263 to 305 computations (-16% saved)
ival-log: 32.0ms (51.3% of total)adjust: 22.0ms (35.2% of total)ival-mult: 4.0ms (6.4% of total)ival-sub: 3.0ms (4.8% of total)ival-add: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 2.489790155352497e+102 | 5.741252728642819e+111 |
| 29.0ms | -2.4626162125463636e+68 | -3.0568318021283665e+65 |
| 36.0ms | 89× | 1 | valid |
| 22.0ms | 183× | 0 | valid |
Compiled 356 to 410 computations (-15.2% saved)
ival-log: 27.0ms (55.3% of total)adjust: 9.0ms (18.4% of total)ival-mult: 5.0ms (10.2% of total)ival-add: 4.0ms (8.2% of total)ival-sub: 3.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 1.9880334632156728e-55 | 7.849515678810464e-53 |
| 37.0ms | -123993997.86314587 | -1.9447067685972305e-11 |
| 38.0ms | 103× | 1 | valid |
| 17.0ms | 185× | 0 | valid |
Compiled 196 to 325 computations (-65.8% saved)
ival-log: 32.0ms (71.1% of total)ival-mult: 5.0ms (11.1% of total)ival-sub: 3.0ms (6.7% of total)adjust: 3.0ms (6.7% of total)ival-add: 2.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 20× | *-commutative-binary64-*.f64 |
| 10× | +-commutative-binary64-+.f64 |
| 10× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 8× | neg-sub0-binary64--.f64-neg.f64 |
| 8× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 461 |
| 1 | 101 | 461 |
| 2 | 110 | 461 |
| 3 | 114 | 461 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (fma.f64 (log.f64 y) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) z) y))) t) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 (fma.f64 z y t)))) |
(if (<=.f64 x #s(literal -3423715700080493/1180591620717411303424 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 t))) (if (<=.f64 x #s(literal 7438541467549825/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 t))))) |
(if (<=.f64 x #s(literal -480000000000000033617827321832557189963561101669151488946600935424 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) (if (<=.f64 x #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
(if (<=.f64 t #s(literal -6189700196426901/309485009821345068724781056 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) (if (<=.f64 t #s(literal 8558165470020299/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
| Outputs |
|---|
(fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (- 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
(-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (fma.f64 (log.f64 y) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) z) y))) t) |
(fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 (fma.f64 z y t)))) |
(if (<=.f64 x #s(literal -3423715700080493/1180591620717411303424 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 t))) (if (<=.f64 x #s(literal 7438541467549825/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log.f64 y) x (neg.f64 t))))) |
(if (<=.f64 x #s(literal -480000000000000033617827321832557189963561101669151488946600935424 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) (if (<=.f64 x #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x)))) |
(if (<=.f64 x #s(literal -480000000000000033617827321832557189963561101669151488946600935424 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 x (log.f64 y))) (if (<=.f64 x #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 x (log.f64 y))))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 #s(approx (log (+ 1 (neg y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z (neg.f64 t))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 (fma.f64 z y t)))) |
(if (<=.f64 t #s(literal -6189700196426901/309485009821345068724781056 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) (if (<=.f64 t #s(literal 8558165470020299/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 #s(approx (+ (* z y) t) (*.f64 z y))))) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)))) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t) |
| 23 678× | lower-fma.f64 |
| 23 678× | lower-fma.f32 |
| 10 964× | lower-fma.f64 |
| 10 964× | lower-fma.f32 |
| 8 032× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 331 |
| 0 | 91 | 312 |
| 1 | 411 | 240 |
| 2 | 3088 | 229 |
| 0 | 8718 | 223 |
| 0 | 1102 | 21053 |
| 1 | 3935 | 19009 |
| 0 | 8355 | 17963 |
| 0 | 45 | 278 |
| 0 | 76 | 242 |
| 1 | 336 | 214 |
| 2 | 2602 | 214 |
| 0 | 8841 | 211 |
| 0 | 831 | 14994 |
| 1 | 2742 | 13968 |
| 0 | 8206 | 12800 |
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 67 | 32 |
| 2 | 506 | 32 |
| 3 | 6739 | 32 |
| 0 | 8211 | 27 |
| 0 | 181 | 1427 |
| 1 | 549 | 1339 |
| 2 | 1721 | 1301 |
| 3 | 5031 | 1275 |
| 0 | 8641 | 1135 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 403 to 288 computations (28.5% saved)
Compiled 480 to 202 computations (57.9% saved)
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