
Time bar (total: 13.9s)
| 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% | 74.8% | 0.2% | 0% | 24.9% | 0% | 3 |
| 0% | 0% | 37.4% | 0.2% | 0% | 62.3% | 0% | 4 |
| 0% | 0% | 18.7% | 0.2% | 0% | 81.1% | 0% | 5 |
| 0% | 0% | 18.7% | 0.2% | 0% | 81.1% | 0% | 6 |
| 0% | 0% | 18.7% | 0.2% | 0% | 81.1% | 0% | 7 |
| 10% | 1.6% | 14% | 0.2% | 0% | 84.2% | 0% | 8 |
| 10% | 1.6% | 14% | 0.2% | 0% | 84.2% | 0% | 9 |
| 10% | 1.6% | 14% | 0.2% | 0% | 84.2% | 0% | 10 |
| 10% | 1.6% | 14% | 0.2% | 0% | 84.2% | 0% | 11 |
| 20% | 3.1% | 12.5% | 0.2% | 0% | 84.2% | 0% | 12 |
Compiled 18 to 17 computations (5.6% saved)
| 1.5s | 8 256× | 0 | valid |
| 208.0ms | 2 095× | 0 | invalid |
ival-log: 504.0ms (40.4% of total)ival-add: 486.0ms (38.9% of total)ival-mult: 120.0ms (9.6% of total)ival-sub: 119.0ms (9.5% of total)ival-true: 9.0ms (0.7% of total)exact: 7.0ms (0.6% of total)ival-assert: 5.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 4 | 0 | - | 3 | (4.6510474218299855e-272 1.247797926013714e+119 1.1219830308019446e-122 1.2299417217269676e+197 5.0534502307101626e+30) | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 0 | 0 | - | 0 | - | (log.f64 t) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (log.f64 (+.f64 x y)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (log.f64 z) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (-.f64 a #s(literal 1/2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 1 |
| - | 1 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 1 | 0 | 254 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 112.0ms | 512× | 0 | valid |
Compiled 136 to 49 computations (64% saved)
ival-log: 51.0ms (59.3% of total)ival-add: 23.0ms (26.7% of total)ival-sub: 7.0ms (8.1% of total)ival-mult: 3.0ms (3.5% of total)ival-true: 1.0ms (1.2% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 4 080× | lower-fma.f64 |
| 4 080× | lower-fma.f32 |
| 1 026× | sub-neg |
| 1 022× | associate-+l- |
| 1 004× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 335 |
| 1 | 261 | 331 |
| 2 | 845 | 325 |
| 3 | 3081 | 324 |
| 4 | 6375 | 324 |
| 5 | 7630 | 324 |
| 0 | 15 | 16 |
| 0 | 24 | 16 |
| 1 | 37 | 16 |
| 2 | 78 | 16 |
| 3 | 192 | 16 |
| 4 | 478 | 16 |
| 5 | 1452 | 16 |
| 6 | 2521 | 16 |
| 7 | 3354 | 16 |
| 8 | 3673 | 16 |
| 9 | 3695 | 16 |
| 10 | 3695 | 16 |
| 11 | 3755 | 16 |
| 12 | 3769 | 16 |
| 13 | 3769 | 16 |
| 0 | 3769 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))) |
(sort x y)
Compiled 16 to 15 computations (6.3% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
Compiled 16 to 15 computations (6.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (+.f64 x y)) | |
| cost-diff | 0 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) | |
| cost-diff | 0 | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) | |
| cost-diff | 128 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 4 080× | lower-fma.f64 |
| 4 080× | lower-fma.f32 |
| 1 026× | sub-neg |
| 1 004× | lower-+.f32 |
| 1 000× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 58 |
| 0 | 24 | 58 |
| 1 | 37 | 58 |
| 2 | 78 | 58 |
| 3 | 192 | 58 |
| 4 | 478 | 58 |
| 5 | 1452 | 58 |
| 6 | 2521 | 58 |
| 7 | 3354 | 58 |
| 8 | 3673 | 58 |
| 9 | 3695 | 58 |
| 10 | 3695 | 58 |
| 11 | 3755 | 58 |
| 12 | 3769 | 58 |
| 13 | 3769 | 58 |
| 0 | 3769 | 57 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(log.f64 (+.f64 x y)) |
(+.f64 x y) |
x |
y |
(log.f64 z) |
z |
t |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(log.f64 (+.f64 x y)) |
(log.f64 (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(log.f64 z) |
z |
t |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 t) | |
| accuracy | 0.10775375976844201 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| accuracy | 0.14453125 | (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) | |
| accuracy | 0.5503158705413304 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 76.0ms | 256× | 0 | valid |
Compiled 60 to 17 computations (71.7% saved)
ival-log: 9.0ms (46.9% of total)ival-add: 6.0ms (31.2% of total)ival-sub: 2.0ms (10.4% of total)ival-mult: 2.0ms (10.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ()) |
#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ()) |
#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ()) |
#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (log t)) (taylor 0 a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* a (log t)) (taylor inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) (taylor inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) (taylor inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) (taylor inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (* a (log t)) (taylor inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (log t) (* -1/2 (/ (log t) a)))) (taylor inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (log t) (* -1/2 (/ (log t) a)))) (taylor inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (log t) (* -1/2 (/ (log t) a)))) (taylor inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* a (log t)) (taylor -inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) (taylor -inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) (taylor -inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) (taylor -inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (* a (log t)) (taylor -inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) (taylor 0 x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) (taylor 0 x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) (taylor 0 x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t) (taylor 0 x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (log z)) t) (taylor 0 x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (/ x y))) t) (taylor 0 x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t) (taylor 0 x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t) (taylor 0 x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (log y) (log z)) (taylor 0 x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log y) (+ (log z) (/ x y))) (taylor 0 x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) (taylor 0 x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) (taylor 0 x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (log y) (taylor 0 x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log y) (/ x y)) (taylor 0 x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) (taylor inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) (taylor inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) (taylor inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) (taylor inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (* -1 (log (/ 1 x)))) t) (taylor inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t) (taylor inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t) (taylor inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) t) (taylor inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (log z) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (taylor inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) (taylor inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 x))) (/ y x)) (taylor inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) (taylor inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))) (taylor inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) (taylor -inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) (taylor -inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t) (taylor -inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t) (taylor -inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t) (taylor -inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t) (taylor -inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t) (taylor -inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t) (taylor -inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 110.0ms | z | @ | 0 | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t)) |
| 72.0ms | z | @ | inf | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t)) |
| 41.0ms | t | @ | 0 | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t)) |
| 23.0ms | z | @ | -inf | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t)) |
| 18.0ms | t | @ | -inf | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t)) |
| 1× | egg-herbie |
| 16 372× | lower-fma.f64 |
| 16 372× | lower-fma.f32 |
| 5 060× | lower-+.f64 |
| 5 060× | lower-+.f32 |
| 4 310× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 382 | 3187 |
| 1 | 1101 | 3021 |
| 2 | 3506 | 2976 |
| 0 | 8312 | 2824 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(* -1/2 (log t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (log t)) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log z) (log (+ x y))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(log t) |
(log t) |
(log t) |
(log t) |
(* -1 t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(* -1 t) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(* -1 (log (/ 1 t))) |
(* -1 (log (/ 1 t))) |
(* -1 (log (/ 1 t))) |
(* -1 (log (/ 1 t))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (log (+ x y))) t) |
(- (+ (log z) (log (+ x y))) t) |
(- (+ (log z) (log (+ x y))) t) |
(- (+ (log z) (log (+ x y))) t) |
(+ (log z) (log (+ x y))) |
(+ (log z) (log (+ x y))) |
(+ (log z) (log (+ x y))) |
(+ (log z) (log (+ x y))) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(- (+ (log x) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log x) (+ (log z) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log x) (+ (log z) (+ (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log x) (log z)) t) |
(- (+ (log x) (+ (log z) (/ y x))) t) |
(- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) t) |
(- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) t) |
(+ (log x) (log z)) |
(+ (log x) (+ (log z) (/ y x))) |
(+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) |
(+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) |
(log x) |
(+ (log x) (/ y x)) |
(+ (log x) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))) |
(+ (log x) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* (log t) (- a 1/2)) (/ x y))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* (log t) (- a 1/2)) (/ x y)))))) t) |
(- (+ (log z) (* -1 (log (/ 1 y)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) t) |
(+ (log z) (* -1 (log (/ 1 y)))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) |
(* -1 (log (/ 1 y))) |
(+ (* -1 (log (/ 1 y))) (/ x y)) |
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))) |
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* (log t) (- a 1/2)) (/ x y))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) t) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (/ x y))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(- (+ (log y) (log z)) t) |
(- (+ (log y) (+ (log z) (/ x y))) t) |
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t) |
(- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t) |
(+ (log y) (log z)) |
(+ (log y) (+ (log z) (/ x y))) |
(+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) |
(+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(log y) |
(+ (log y) (/ x y)) |
(+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(- (+ (log z) (* -1 (log (/ 1 x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) t) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ y x)) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) |
| Outputs |
|---|
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) |
(* -1/2 (log t)) |
(*.f64 (log.f64 t) #s(literal -1/2 binary64)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(* a (log t)) |
(*.f64 a (log.f64 t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(*.f64 (fma.f64 (log.f64 t) (+.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) a) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(*.f64 (fma.f64 (log.f64 t) (+.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) a) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(*.f64 (fma.f64 (log.f64 t) (+.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) a) |
(* a (log t)) |
(*.f64 a (log.f64 t)) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a) |
(* a (log t)) |
(*.f64 a (log.f64 t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) a) (log.f64 t)) a) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) a) (log.f64 t)) a) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) a) (log.f64 t)) a) |
(* a (log t)) |
(*.f64 a (log.f64 t)) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a) |
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) |
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) |
(+ (log z) (log (+ x y))) |
(+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))) |
(* (log t) (- a 1/2)) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(* (log t) (- a 1/2)) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(* (log t) (- a 1/2)) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(* (log t) (- a 1/2)) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(log t) |
(log.f64 t) |
(log t) |
(log.f64 t) |
(log t) |
(log.f64 t) |
(log t) |
(log.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t)) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
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(-.f64 (-.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y) x) y)) (-.f64 t (log.f64 #s(literal -1 binary64)))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t) |
(-.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 t (log.f64 #s(literal -1 binary64)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) t) |
(-.f64 (+.f64 (-.f64 (/.f64 x y) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 z)) (-.f64 t (log.f64 #s(literal -1 binary64)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) t) |
(-.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64) x) y) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 z)) (-.f64 t (log.f64 #s(literal -1 binary64)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) t) |
(-.f64 (-.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y) x) y)) (-.f64 t (log.f64 #s(literal -1 binary64)))) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(+.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) |
(+.f64 (+.f64 (-.f64 (/.f64 x y) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 z)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64) x) y) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 z)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) |
(-.f64 (+.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y) x) y)) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (/ x y))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 x y)) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64) x) y)) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y) x) y)) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t) |
(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (+.f64 (log.f64 y) (/.f64 x y))) (-.f64 t (log.f64 z))) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z))) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(-.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y)))) (-.f64 t (log.f64 z))) |
(- (+ (log y) (log z)) t) |
(-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) |
(- (+ (log y) (+ (log z) (/ x y))) t) |
(-.f64 (+.f64 (log.f64 y) (/.f64 x y)) (-.f64 t (log.f64 z))) |
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 z)) (-.f64 t (log.f64 y))) |
(- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) |
(+ (log y) (log z)) |
(+.f64 (log.f64 y) (log.f64 z)) |
(+ (log y) (+ (log z) (/ x y))) |
(+.f64 (+.f64 (log.f64 y) (/.f64 x y)) (log.f64 z)) |
(+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (log.f64 y) (log.f64 z))) |
(+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x (+.f64 (log.f64 y) (log.f64 z))) |
(log y) |
(log.f64 y) |
(+ (log y) (/ x y)) |
(+.f64 (log.f64 y) (/.f64 x y)) |
(+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y)) |
(+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x (log.f64 y)) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 x)) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(-.f64 (+.f64 (+.f64 (log.f64 x) (log.f64 z)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 y x))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) (log.f64 x)) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) y (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) (log.f64 x)) t) |
(- (+ (log z) (* -1 (log (/ 1 x)))) t) |
(-.f64 (+.f64 (log.f64 x) (log.f64 z)) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t) |
(-.f64 (+.f64 (+.f64 (/.f64 y x) (log.f64 x)) (log.f64 z)) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y (log.f64 x)) (-.f64 t (log.f64 z))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) t) |
(-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y (log.f64 x))) (-.f64 t (log.f64 z))) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 z)) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(+.f64 (+.f64 (/.f64 y x) (log.f64 x)) (log.f64 z)) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y (+.f64 (log.f64 x) (log.f64 z))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) y (+.f64 (log.f64 x) (log.f64 z))) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ y x)) |
(+.f64 (/.f64 y x) (log.f64 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y (log.f64 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y (log.f64 x))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) |
(-.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 t (log.f64 #s(literal -1 binary64)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(-.f64 (-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 y x)) (log.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 t (log.f64 #s(literal -1 binary64)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t) |
(-.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) y) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (-.f64 t (log.f64 #s(literal -1 binary64)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t) |
(-.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x) y) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (-.f64 t (log.f64 #s(literal -1 binary64)))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t) |
(-.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 t (log.f64 #s(literal -1 binary64)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t) |
(-.f64 (-.f64 (+.f64 (/.f64 y x) (log.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 t (log.f64 #s(literal -1 binary64)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t) |
(-.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) y) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (-.f64 t (log.f64 #s(literal -1 binary64)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t) |
(-.f64 (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x) y) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (-.f64 t (log.f64 #s(literal -1 binary64)))) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) |
(+.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) |
(+.f64 (-.f64 (+.f64 (/.f64 y x) (log.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) y) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x) y) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 y x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) y) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x) y) x)) |
| 5 670× | lower-fma.f64 |
| 5 670× | lower-fma.f32 |
| 4 278× | lower-*.f32 |
| 4 276× | lower-*.f64 |
| 3 538× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 44 |
| 0 | 24 | 41 |
| 1 | 102 | 41 |
| 2 | 837 | 41 |
| 0 | 8280 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(log.f64 (+.f64 x y)) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(log.f64 t) |
| Outputs |
|---|
#<batchref> |
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Compiled 19 442 to 1 662 computations (91.5% saved)
26 alts after pruning (26 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 534 | 26 | 560 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 535 | 26 | 561 |
| Status | Accuracy | Program |
|---|---|---|
| 74.2% | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) | |
| 57.4% | (fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) | |
| 49.4% | (fma.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64))) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) | |
| 49.7% | (fma.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) | |
| 58.0% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) (-.f64 a #s(literal -1/2 binary64)))) | |
| ▶ | 44.1% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) |
| 33.2% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) t)))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (fma.f64 t t (*.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) t))))) | |
| 46.1% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))) | |
| ▶ | 74.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
| 74.2% | (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) | |
| 74.2% | (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) | |
| 49.7% | (+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 29.6% | (+.f64 (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| ▶ | 76.5% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
| 66.0% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64))))) | |
| 99.5% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) | |
| 66.0% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) | |
| ▶ | 99.5% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 75.2% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 33.0% | (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))))) | |
| 99.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)) | |
| 62.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) | |
| 88.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (fma.f64 (log.f64 t) (+.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) a)) | |
| 87.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t)) | |
| 35.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) | |
| ▶ | 38.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
Compiled 1 362 to 948 computations (30.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) | |
| cost-diff | 6784 | (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) | |
| cost-diff | 0 | (log.f64 (+.f64 x y)) | |
| cost-diff | 0 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) | |
| cost-diff | 0 | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) | |
| cost-diff | 128 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | (log.f64 t) | |
| cost-diff | 0 | (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) | |
| cost-diff | 0 | (neg.f64 t) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) | |
| cost-diff | 0 | (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) | |
| cost-diff | 0 | #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) | |
| cost-diff | 128 | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| cost-diff | 1408 | (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t)) |
| 17 390× | lower-fma.f32 |
| 17 382× | lower-fma.f64 |
| 3 856× | lower-+.f32 |
| 3 842× | lower-+.f64 |
| 3 162× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 479 |
| 0 | 95 | 475 |
| 1 | 155 | 475 |
| 2 | 322 | 475 |
| 3 | 959 | 469 |
| 4 | 3051 | 457 |
| 5 | 6665 | 457 |
| 0 | 8358 | 452 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) |
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t)) |
(+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) |
(/.f64 (log.f64 (+.f64 y x)) t) |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
t |
(/.f64 (log.f64 z) t) |
(log.f64 z) |
z |
(neg.f64 t) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
(neg.f64 t) |
t |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(log.f64 t) |
t |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) |
(log.f64 (*.f64 z (+.f64 y x))) |
(*.f64 z (+.f64 y x)) |
z |
(+.f64 y x) |
y |
x |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(log.f64 (+.f64 x y)) |
(+.f64 x y) |
x |
y |
(log.f64 z) |
z |
t |
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) |
(fma.f64 a a #s(literal -1/4 binary64)) |
a |
#s(literal -1/4 binary64) |
(log.f64 t) |
(-.f64 a #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) |
(-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) |
(pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) |
(log.f64 (*.f64 z (+.f64 y x))) |
(*.f64 z (+.f64 y x)) |
z |
(+.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(*.f64 t t) |
t |
(-.f64 a #s(literal -1/2 binary64)) |
a |
#s(literal -1/2 binary64) |
(*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))) |
(+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) |
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) |
(fma.f64 a a #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(log.f64 t) |
(*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))) |
| Outputs |
|---|
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 #s(literal 1 binary64) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) (neg.f64 t)))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 #s(literal 1 binary64) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) (neg.f64 t))) |
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t)) |
(fma.f64 #s(literal 1 binary64) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) (neg.f64 t)) |
(+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) |
(+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 (+.f64 y x)) t)) |
(/.f64 (log.f64 (+.f64 y x)) t) |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
t |
(/.f64 (log.f64 z) t) |
(log.f64 z) |
z |
(neg.f64 t) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
(neg.f64 t) |
t |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) |
(log.f64 t) |
t |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) |
(-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) |
(log.f64 (*.f64 z (+.f64 y x))) |
(log.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
z |
(+.f64 y x) |
y |
x |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (-.f64 a #s(literal -1/2 binary64))) (log.f64 t) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) |
(log.f64 (+.f64 x y)) |
(log.f64 (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(log.f64 z) |
z |
t |
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) |
(fma.f64 a a #s(literal -1/4 binary64)) |
a |
#s(literal -1/4 binary64) |
(log.f64 t) |
(-.f64 a #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (-.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (-.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) |
(*.f64 (fma.f64 (-.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) |
(-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) |
(fma.f64 (neg.f64 t) t (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64))) |
(pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) |
(pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) |
(log.f64 (*.f64 z (+.f64 y x))) |
(log.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
z |
(+.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(*.f64 t t) |
t |
(-.f64 a #s(literal -1/2 binary64)) |
a |
#s(literal -1/2 binary64) |
(*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))) |
(*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))) |
(+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) |
(+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) |
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) |
(fma.f64 a a #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(log.f64 t) |
(*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))) |
(*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (-.f64 a #s(literal -1/2 binary64))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5201950195368841 | (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) | |
| accuracy | 5.011599724874762 | (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) | |
| accuracy | 16.222902265899396 | (log.f64 (*.f64 z (+.f64 y x))) | |
| accuracy | 26.351750054155417 | (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) | |
| accuracy | 0.08203125 | (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) | |
| accuracy | 0.10775375976844201 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) | |
| accuracy | 0.5503158705413304 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) | |
| accuracy | 14.767022058317796 | (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) | |
| accuracy | 0.209316259768442 | (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) | |
| accuracy | 0.2421875 | (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) | |
| accuracy | 0.28125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) | |
| accuracy | 16.222902265899396 | (log.f64 (*.f64 z (+.f64 y x))) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 39.27696410109163 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) | |
| accuracy | 0.14453125 | (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) | |
| accuracy | 0.22265625 | (/.f64 (log.f64 (+.f64 y x)) t) | |
| accuracy | 0.23046875 | (/.f64 (log.f64 z) t) | |
| accuracy | 0.5613639883653903 | (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) |
| 162.0ms | 256× | 0 | valid |
Compiled 461 to 51 computations (88.9% saved)
ival-log: 53.0ms (44% of total)ival-sub: 24.0ms (19.9% of total)ival-mult: 14.0ms (11.6% of total)ival-div: 13.0ms (10.8% of total)ival-add: 12.0ms (10% of total)ival-pow2: 3.0ms (2.5% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t)) (patch (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (patch #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) (patch (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) #<representation binary64>) () ()) |
#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ()) |
#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ()) |
#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (patch (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) (patch (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (patch (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 z) t) (patch (/.f64 (log.f64 z) t) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 (+.f64 y x)) t) (patch (/.f64 (log.f64 (+.f64 y x)) t) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ()) |
#s(alt (log.f64 (*.f64 z (+.f64 y x))) (patch (log.f64 (*.f64 z (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) (patch (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (patch (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) #<representation binary64>) () ()) |
| Outputs |
|---|
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15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 57.0ms | x | @ | inf | ((+ (* (+ (/ (log (+ y x)) t) (/ (log z) t)) t) (neg t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (/ (log (+ y x)) t) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (log z) t) (/ (log (+ y x)) t) (* (- a 1/2) (log t)) (log (* z (+ y x))) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (* (+ (* a a) -1/4) (log t))) |
| 48.0ms | x | @ | 0 | ((+ (* (+ (/ (log (+ y x)) t) (/ (log z) t)) t) (neg t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (/ (log (+ y x)) t) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (log z) t) (/ (log (+ y x)) t) (* (- a 1/2) (log t)) (log (* z (+ y x))) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (* (+ (* a a) -1/4) (log t))) |
| 43.0ms | z | @ | -inf | ((+ (* (+ (/ (log (+ y x)) t) (/ (log z) t)) t) (neg t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (/ (log (+ y x)) t) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (log z) t) (/ (log (+ y x)) t) (* (- a 1/2) (log t)) (log (* z (+ y x))) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (* (+ (* a a) -1/4) (log t))) |
| 41.0ms | z | @ | inf | ((+ (* (+ (/ (log (+ y x)) t) (/ (log z) t)) t) (neg t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (/ (log (+ y x)) t) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (log z) t) (/ (log (+ y x)) t) (* (- a 1/2) (log t)) (log (* z (+ y x))) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (* (+ (* a a) -1/4) (log t))) |
| 41.0ms | t | @ | inf | ((+ (* (+ (/ (log (+ y x)) t) (/ (log z) t)) t) (neg t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (/ (log (+ y x)) t) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (log z) t) (/ (log (+ y x)) t) (* (- a 1/2) (log t)) (log (* z (+ y x))) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (* (+ (* a a) -1/4) (log t))) |
| 1× | egg-herbie |
| 6 198× | lower-+.f64 |
| 6 198× | lower-+.f32 |
| 5 304× | lower-fma.f64 |
| 5 304× | lower-fma.f32 |
| 4 904× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2345 | 34244 |
| 1 | 7776 | 34244 |
| 0 | 8010 | 32712 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* -1/2 (log t)) |
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(/ (- (+ (/ 1/2 (* a (log t))) (+ (/ 1 (log t)) (+ (/ t (* a (pow (log t) 2))) (/ (* (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))) (* (pow a 3) (pow (log t) 2)))))) (+ (/ (log (* z (+ x y))) (* a (pow (log t) 2))) (/ (* (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))) (* (pow a 2) (log t))))) a) |
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(* (pow a 2) (log t)) |
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(* (pow a 2) (* (log t) (+ t (log (* z (+ x y)))))) |
(* (pow a 2) (- (+ (* (log t) (+ t (log (* z (+ x y))))) (/ (pow (log (* z (+ x y))) 2) a)) (/ (pow t 2) a))) |
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(+ (* -1 (/ (- (+ (* -2 (/ (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (* y (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (/ (* (pow y 2) (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (/ (pow y 2) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (+ (* -1 (/ (* y (- (+ (* -2 (/ (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (* -1 (/ (* y (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))))) (* -1 (/ (* y (+ (* (log t) (* (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2)))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (* -1/2 (/ (* (pow y 2) (+ (* (log t) (* (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2)))))) x)))) (* -1 (/ (* y (+ (* (log t) (* (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2))))) x)) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2)) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) |
(+ (* -1 (/ (- (+ (* -2 (/ (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (* y (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (* (pow y 3) (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (/ (* (pow y 3) (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (/ (pow y 3) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (+ (* -1 (/ (* y (- (+ (* -1 (/ (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (/ (* (pow y 2) (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (/ (pow y 2) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (+ (* -1 (/ (* y (- (+ (* -2 (/ (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (* -1 (/ (* y (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))))) (* -1 (/ (* y (+ (* (log t) (* (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2)))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (* -1/2 (/ (* (pow y 2) (+ (* (log t) (* (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2))))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (/ (* (pow y 2) (- (+ (* -2 (/ (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (* -1 (/ (* y (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))))) (* -1 (/ (* y (+ (* (log t) (* (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2)))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (* -1/3 (/ (* (pow y 3) (+ (* (log t) (* (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2))))))) x)) (+ (* -1/2 (/ (* (pow y 2) (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (/ (pow y 2) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))))) (+ (* -1 (/ (* y (- (+ (* -2 (/ (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (* -1 (/ (* y (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))))) (* -1 (/ (* y (+ (* (log t) (* (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2)))))) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) (* -1/2 (/ (* (pow y 2) (+ (* (log t) (* (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2)))))) x)))) (* -1 (/ (* y (+ (* (log t) (* (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2))))) x)) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2)) (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) |
(- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2)) |
(- (+ (* 2 (/ (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) (pow t 2)) |
(- (+ (* -1 (/ (+ (* -2 (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (pow y 2)) x))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) (pow t 2)) |
(- (+ (* -1 (/ (+ (* -2 (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (* -2/3 (* (pow y 3) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (pow y 3)) x)) (pow y 2))) x))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) (pow t 2)) |
(pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) |
(+ (* 2 (/ (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) |
(+ (* -1 (/ (+ (* -2 (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (pow y 2)) x))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) |
(+ (* -1 (/ (+ (* -2 (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (* -2/3 (* (pow y 3) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (pow y 3)) x)) (pow y 2))) x))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) t) |
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ y (* t x)) (/ (log -1) t))) |
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* 1/2 (/ (pow y 2) (* t x)))) x)) (/ (log -1) t))) |
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) t)) (* 1/3 (/ (pow y 3) (* t x)))) x))) x)) (/ (log -1) t))) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) |
| Outputs |
|---|
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(-.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(-.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(-.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)) |
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) |
(+ (* -1 (/ (* a (log t)) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2))) (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) |
(fma.f64 (/.f64 (*.f64 a (log.f64 t)) (pow.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))) |
(+ (* a (- (/ (* a (pow (log t) 2)) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3)) (/ (log t) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2)))) (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) a) (pow.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t) #s(literal 3 binary64))) (/.f64 (log.f64 t) (pow.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))) |
(+ (* a (- (* a (- (* -1 (/ (* a (pow (log t) 3)) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 4))) (* -1 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))))) (/ (log t) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2)))) (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) |
(fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) a) (pow.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t) #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t) #s(literal 3 binary64))))) a (neg.f64 (/.f64 (log.f64 t) (pow.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))) |
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(-.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(-.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(-.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) |
(+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2))) (* a (- (pow (log (* z (+ x y))) 2) (pow t 2))))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) |
(+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2))) (* a (- (+ (* a (* (log t) (+ t (log (* z (+ x y)))))) (pow (log (* z (+ x y))) 2)) (pow t 2))))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (fma.f64 (fma.f64 (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (log.f64 t)) a (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t))) a (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64)))) |
(+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2))) (* a (- (+ (* a (* (log t) (+ t (log (* z (+ x y)))))) (pow (log (* z (+ x y))) 2)) (pow t 2))))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (fma.f64 (fma.f64 (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (log.f64 t)) a (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t))) a (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64)))) |
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binary64) x)))))) #s(literal -2 binary64) (/.f64 (*.f64 (neg.f64 y) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))) (*.f64 (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 #s(literal 1/2 binary64) a)))) (neg.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 a a #s(literal -1/4 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (pow.f64 (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))))) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))))))) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 y y) (/.f64 (-.f64 (fma.f64 (*.f64 y (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal -2 binary64) (/.f64 (*.f64 (neg.f64 y) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))) (*.f64 (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 #s(literal 1/2 binary64) a)))) (neg.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 a a #s(literal -1/4 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (pow.f64 (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))))) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 a a #s(literal -1/4 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (pow.f64 (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) #s(literal -1/3 binary64))))) x) #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/2 binary64) (/.f64 (*.f64 y y) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (fma.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 a a #s(literal -1/4 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (pow.f64 (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (neg.f64 (*.f64 y (/.f64 (-.f64 (fma.f64 (*.f64 y (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal -2 binary64) (/.f64 (*.f64 (neg.f64 y) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))) (*.f64 (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 #s(literal 1/2 binary64) a)))) (neg.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 a a #s(literal -1/4 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (pow.f64 (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))))) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))))))) x))) (neg.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 a a #s(literal -1/4 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (pow.f64 (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))))) x) #s(literal -1 binary64) (fma.f64 (log.f64 t) (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))))) |
(- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2)) |
(-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t)) |
(- (+ (* 2 (/ (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) (pow t 2)) |
(fma.f64 (*.f64 y (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) x)) #s(literal 2 binary64) (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t))) |
(- (+ (* -1 (/ (+ (* -2 (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (pow y 2)) x))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) (pow t 2)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (neg.f64 (/.f64 (fma.f64 y y (neg.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (*.f64 y y)))) x))) x) #s(literal -1 binary64) (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t))) |
(- (+ (* -1 (/ (+ (* -2 (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (* -2/3 (* (pow y 3) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (pow y 3)) x)) (pow y 2))) x))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) (pow t 2)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (fma.f64 y y (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (pow.f64 y #s(literal 3 binary64))) x)))) x))) x) #s(literal -1 binary64) (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t))) |
(pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) |
(+ (* 2 (/ (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) |
(fma.f64 (*.f64 y (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) x)) #s(literal 2 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64))) |
(+ (* -1 (/ (+ (* -2 (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (pow y 2)) x))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (neg.f64 (/.f64 (fma.f64 y y (neg.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (*.f64 y y)))) x))) x) #s(literal -1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64))) |
(+ (* -1 (/ (+ (* -2 (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (* -2/3 (* (pow y 3) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (pow y 3)) x)) (pow y 2))) x))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (fma.f64 y y (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (pow.f64 y #s(literal 3 binary64))) x)))) x))) x) #s(literal -1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64))) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) t) |
(/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) t) |
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ y (* t x)) (/ (log -1) t))) |
(fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) t) #s(literal -1 binary64) (+.f64 (/.f64 y (*.f64 t x)) (/.f64 (log.f64 #s(literal -1 binary64)) t))) |
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* 1/2 (/ (pow y 2) (* t x)))) x)) (/ (log -1) t))) |
(fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) t) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 y y) t) x) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) t)) x) #s(literal -1 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) t))) |
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) t)) (* 1/3 (/ (pow y 3) (* t x)))) x))) x)) (/ (log -1) t))) |
(fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) t) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) t) x) #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 y y) t) #s(literal -1/2 binary64))) x) #s(literal -1 binary64) (/.f64 (neg.f64 y) t)) x) #s(literal -1 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) t))) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x))) |
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (/.f64 y x)) (log.f64 (neg.f64 z))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) |
(fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y)) x)) (log.f64 (neg.f64 z))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) |
(fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x) #s(literal -1 binary64) (neg.f64 y)) x)) (log.f64 (neg.f64 z))) |
| 3 762× | lower-/.f32 |
| 3 750× | lower-/.f64 |
| 3 328× | lower-fma.f32 |
| 3 320× | lower-fma.f64 |
| 3 306× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 332 |
| 0 | 95 | 279 |
| 1 | 417 | 275 |
| 2 | 3432 | 275 |
| 0 | 8415 | 271 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) |
(+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
(neg.f64 t) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(log.f64 t) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(log.f64 (+.f64 x y)) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) |
(pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) |
(/.f64 (log.f64 z) t) |
(/.f64 (log.f64 (+.f64 y x)) t) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(log.f64 (*.f64 z (+.f64 y x))) |
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) |
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Compiled 119 842 to 7 343 computations (93.9% saved)
41 alts after pruning (40 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 713 | 35 | 2 748 |
| Fresh | 16 | 5 | 21 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 733 | 41 | 2 774 |
| Status | Accuracy | Program |
|---|---|---|
| 57.4% | (fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| 57.4% | (fma.f64 (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| 74.2% | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| ▶ | 74.2% | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) |
| 49.4% | (fma.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64))) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) | |
| 49.6% | (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))))) | |
| 13.4% | (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) | |
| ▶ | 31.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| 44.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (-.f64 a #s(literal -1/2 binary64))) (fma.f64 (fma.f64 (neg.f64 t) t (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))))) | |
| 73.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t)))) | |
| 27.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t)))) | |
| 25.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 t (*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) a)) (/.f64 #s(literal 1 binary64) (log.f64 t))) (/.f64 #s(literal 1/2 binary64) (*.f64 a (log.f64 t)))) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) a))) a))) | |
| 38.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t))) | |
| ▶ | 74.2% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
| 31.8% | (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) | |
| 36.9% | (+.f64 (-.f64 (-.f64 (log.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z)) (log.f64 (-.f64 y x))) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) | |
| ▶ | 99.5% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) |
| 68.1% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal -1/2 binary64) a #s(literal 1/4 binary64))))) | |
| 66.0% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) | |
| 31.7% | (+.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (*.f64 (+.f64 x y) z)))) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) | |
| 73.3% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 x y))) t (*.f64 (neg.f64 t) (log.f64 z))) (*.f64 (neg.f64 t) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 73.9% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) t) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 65.9% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) | |
| 52.2% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) | |
| 75.2% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 30.4% | (exp.f64 (log.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) | |
| 52.3% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))) a (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64)))) | |
| 13.9% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (/.f64 (fma.f64 (*.f64 (+.f64 (log.f64 (*.f64 x z)) t) (fma.f64 a a #s(literal -1/4 binary64))) (log.f64 t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 (log.f64 (*.f64 x z)) t) (+.f64 #s(literal 1/2 binary64) a)))) | |
| 53.4% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t)) | |
| 35.2% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t))) | |
| 74.0% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) | |
| 27.1% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t)) | |
| 50.3% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) | |
| 64.3% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) | |
| 67.2% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a)) (/.f64 t a)) a)) | |
| 66.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t)) | |
| 71.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t)) #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) #s(literal 1 binary64)) t)) | |
| ▶ | 19.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) |
| 99.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)) | |
| 87.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t)) | |
| ✓ | 38.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
Compiled 1 929 to 1 449 computations (24.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) | |
| cost-diff | 6464 | (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 a #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) | |
| cost-diff | 1024 | (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))) | |
| cost-diff | 5952 | (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) z) | |
| cost-diff | 0 | (log.f64 (*.f64 (+.f64 x y) z)) | |
| cost-diff | 0 | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) | |
| cost-diff | 128 | (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 (neg.f64 t) t) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) t) | |
| cost-diff | 1024 | (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)) | |
| cost-diff | 0 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) | |
| cost-diff | 0 | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) | |
| cost-diff | 128 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) | |
| cost-diff | 1088 | (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) |
| 7 376× | lower-fma.f32 |
| 7 370× | lower-fma.f64 |
| 2 354× | lower-*.f32 |
| 2 346× | lower-*.f64 |
| 1 522× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 375 |
| 0 | 80 | 373 |
| 1 | 134 | 359 |
| 2 | 307 | 332 |
| 3 | 691 | 332 |
| 4 | 1608 | 332 |
| 5 | 4145 | 332 |
| 6 | 6268 | 332 |
| 0 | 8030 | 329 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(log.f64 (+.f64 x y)) |
(+.f64 x y) |
x |
y |
(log.f64 z) |
z |
t |
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) |
(log.f64 t) |
(/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
t |
(+.f64 #s(literal 0 binary64) t) |
#s(literal 0 binary64) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
(-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) |
t |
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) |
(log.f64 t) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
t |
#s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))) |
(*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)) |
(pow.f64 t #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(log.f64 t) |
t |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(log.f64 (+.f64 x y)) |
(log.f64 (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(log.f64 z) |
z |
t |
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(log.f64 t) |
(/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)) |
(neg.f64 t) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
t |
(+.f64 #s(literal 0 binary64) t) |
t |
#s(literal 0 binary64) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t)) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(log.f64 (*.f64 z (+.f64 y x))) |
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
(-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t) |
t |
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(log.f64 t) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
t |
#s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) t) |
(pow.f64 t #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(log.f64 (*.f64 z (+.f64 y x))) |
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t)) |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) |
(pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t)) #s(literal -1/2 binary64)) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t)) |
(log.f64 t) |
t |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(log.f64 (*.f64 z (+.f64 y x))) |
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.146816259768442 | (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| accuracy | 0.23341752930532603 | (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 5.569053539903877 | (log.f64 (*.f64 (+.f64 x y) z)) | |
| accuracy | 0.0703125 | (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))) | |
| accuracy | 0.1171875 | (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)) | |
| accuracy | 0.146816259768442 | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) | |
| accuracy | 5.569053539903877 | (log.f64 (*.f64 (+.f64 x y) z)) | |
| accuracy | 0.010097509768442016 | (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) | |
| accuracy | 0.07421875 | (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) | |
| accuracy | 0.08431625976844201 | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) | |
| accuracy | 5.569053539903877 | (log.f64 (*.f64 (+.f64 x y) z)) | |
| accuracy | 0 | (*.f64 (neg.f64 t) t) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 13.195159544324627 | (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)) | |
| accuracy | 25.514421575350024 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) | |
| accuracy | 0.00390625 | (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))) | |
| accuracy | 0.0703125 | (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) | |
| accuracy | 0.08041000976844201 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) | |
| accuracy | 0.30526834153483245 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 119.0ms | 152× | 0 | invalid |
| 34.0ms | 104× | 0 | valid |
Compiled 347 to 44 computations (87.3% saved)
ival-log: 52.0ms (41.6% of total)ival-add: 42.0ms (33.6% of total)ival-mult: 9.0ms (7.2% of total)ival-div: 6.0ms (4.8% of total)ival-sub: 5.0ms (4% of total)ival-pow: 5.0ms (4% of total)ival-pow2: 3.0ms (2.4% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) (patch (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ()) |
#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)) (patch (/.f64 (*.f64 (neg.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 #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 t) t) (patch (*.f64 (neg.f64 t) t) #<representation binary64>) () ()) |
#s(alt (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (patch (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt (log.f64 (*.f64 (+.f64 x y) z)) (patch (log.f64 (*.f64 (+.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)) (patch (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))) (patch (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 a #s(literal 1/2 binary64)) (patch (-.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (patch (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 (log t)) (taylor 0 a) (#s(alt (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) (patch (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) (patch (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) (patch (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) (patch (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (- t (* -1/2 (log t))) (taylor 0 a) (#s(alt (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (patch (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* -1 (* a (log t)))) (* -1/2 (log t))) (taylor 0 a) (#s(alt (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (patch (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* -1 (* a (log t)))) (* -1/2 (log t))) (taylor 0 a) (#s(alt (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (patch (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* -1 (* a (log t)))) (* -1/2 (log t))) (taylor 0 a) (#s(alt (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (patch (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (taylor 0 a) (#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor 0 a) (#s(alt (-.f64 a #s(literal 1/2 binary64)) (patch (-.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- a 1/2) (taylor 0 a) (#s(alt (-.f64 a #s(literal 1/2 binary64)) (patch (-.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- a 1/2) (taylor 0 a) (#s(alt (-.f64 a #s(literal 1/2 binary64)) (patch (-.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- a 1/2) (taylor 0 a) (#s(alt (-.f64 a #s(literal 1/2 binary64)) (patch (-.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | z | @ | inf | ((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (/ (* (neg t) t) (+ 0 t)) (+ 0 t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (- t (* (log t) (- a 1/2))) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (* (+ x y) z) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) (/ 1 (- a 1/2)) (neg t) (* (log t) (- a 1/2))) |
| 63.0ms | z | @ | 0 | ((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (/ (* (neg t) t) (+ 0 t)) (+ 0 t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (- t (* (log t) (- a 1/2))) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (* (+ x y) z) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) (/ 1 (- a 1/2)) (neg t) (* (log t) (- a 1/2))) |
| 49.0ms | t | @ | inf | ((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (/ (* (neg t) t) (+ 0 t)) (+ 0 t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (- t (* (log t) (- a 1/2))) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (* (+ x y) z) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) (/ 1 (- a 1/2)) (neg t) (* (log t) (- a 1/2))) |
| 45.0ms | a | @ | 0 | ((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (/ (* (neg t) t) (+ 0 t)) (+ 0 t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (- t (* (log t) (- a 1/2))) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (* (+ x y) z) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) (/ 1 (- a 1/2)) (neg t) (* (log t) (- a 1/2))) |
| 33.0ms | z | @ | -inf | ((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (/ (* (neg t) t) (+ 0 t)) (+ 0 t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (- t (* (log t) (- a 1/2))) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (* (+ x y) z) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) (/ 1 (- a 1/2)) (neg t) (* (log t) (- a 1/2))) |
| 1× | egg-herbie |
| 6 418× | lower-fma.f64 |
| 6 418× | lower-fma.f32 |
| 5 960× | lower-*.f64 |
| 5 960× | lower-*.f32 |
| 5 428× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1475 | 21139 |
| 1 | 4336 | 20208 |
| 0 | 8211 | 19363 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (log t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- t (* -1/2 (log t))) |
(- (+ t (* -1 (* a (log t)))) (* -1/2 (log t))) |
(- (+ t (* -1 (* a (log t)))) (* -1/2 (log t))) |
(- (+ t (* -1 (* a (log t)))) (* -1/2 (log t))) |
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
-1/2 |
(- a 1/2) |
(- a 1/2) |
(- a 1/2) |
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)) |
(+ (* -1 (/ (* a (log t)) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2))) (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) |
(+ (* a (- (/ (* a (pow (log t) 2)) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3)) (/ (log t) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2)))) (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) |
(+ (* a (- (* a (- (* -1 (/ (* a (pow (log t) 3)) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 4))) (* -1 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))))) (/ (log t) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2)))) (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) |
(sqrt (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) |
(+ (sqrt (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) (* -1/2 (* (* a (log t)) (sqrt (/ 1 (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3)))))) |
(+ (sqrt (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) (* a (+ (* -1/2 (* (log t) (sqrt (/ 1 (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))))) (* -1/2 (* (* a (+ (* -1 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))) (* 1/4 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))))) (sqrt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))))))) |
(+ (sqrt (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) (* a (+ (* -1/2 (* (log t) (sqrt (/ 1 (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))))) (* a (+ (* -1/2 (* (* a (+ (* 1/2 (/ (* (log t) (+ (* -1 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))) (* 1/4 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))))) (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) (/ (pow (log t) 3) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 4)))) (sqrt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)))) (* -1/2 (* (+ (* -1 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))) (* 1/4 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3)))) (sqrt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))))))))) |
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
-2 |
(- (* -4 a) 2) |
(- (* a (- (* -8 a) 4)) 2) |
(- (* a (- (* a (- (* -16 a) 8)) 4)) 2) |
(* -1/2 (log t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(* a (log t)) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* -1 (* a (log t))) |
(* a (- (/ t a) (+ (log t) (* -1/2 (/ (log t) a))))) |
(* a (- (/ t a) (+ (log t) (* -1/2 (/ (log t) a))))) |
(* a (- (/ t a) (+ (log t) (* -1/2 (/ (log t) a))))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
a |
(* a (- 1 (* 1/2 (/ 1 a)))) |
(* a (- 1 (* 1/2 (/ 1 a)))) |
(* a (- 1 (* 1/2 (/ 1 a)))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a))) |
(/ 1 (* a (log t))) |
(/ (- (+ (/ 1/2 (* a (log t))) (+ (/ 1 (log t)) (/ t (* a (pow (log t) 2))))) (/ (log (* z (+ x y))) (* a (pow (log t) 2)))) a) |
(/ (- (+ (* -1 (/ (* (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))) (* (pow a 2) (log t)))) (+ (/ 1/2 (* a (log t))) (+ (/ 1 (log t)) (/ t (* a (pow (log t) 2)))))) (/ (log (* z (+ x y))) (* a (pow (log t) 2)))) a) |
(/ (- (+ (/ 1/2 (* a (log t))) (+ (/ 1 (log t)) (+ (/ t (* a (pow (log t) 2))) (/ (* (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))) (* (pow a 3) (pow (log t) 2)))))) (+ (/ (log (* z (+ x y))) (* a (pow (log t) 2))) (/ (* (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))) (* (pow a 2) (log t))))) a) |
(sqrt (/ 1 (* a (log t)))) |
(+ (sqrt (/ 1 (* a (log t)))) (* 1/2 (* (sqrt (/ (log t) (pow a 3))) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))))) |
(+ (sqrt (/ 1 (* a (log t)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (log t)))) (* (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))))) (* 1/2 (* (sqrt (/ (log t) (pow a 3))) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2))))))) |
(+ (sqrt (/ 1 (* a (log t)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (log t)))) (* (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))))) (+ (* -1/2 (* (sqrt (/ (log t) (pow a 7))) (+ (* -1 (/ (* (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))) (pow (log t) 2))) (* 1/4 (* a (* (log t) (pow (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2))) 2))))))) (* 1/2 (* (sqrt (/ (log t) (pow a 3))) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))))))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a))) |
(/ 1 a) |
(/ (+ 1 (* 1/2 (/ 1 a))) a) |
(/ (+ 1 (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 a)))) a) |
(/ (+ 1 (+ (/ 1/4 (pow a 2)) (+ (* 1/2 (/ 1 a)) (* 1/8 (/ 1 (pow a 3)))))) a) |
(* a (log t)) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (log t))) |
(* -1 (* a (- (* -1 (/ (- t (* -1/2 (log t))) a)) (* -1 (log t))))) |
(* -1 (* a (- (* -1 (/ (- t (* -1/2 (log t))) a)) (* -1 (log t))))) |
(* -1 (* a (- (* -1 (/ (- t (* -1/2 (log t))) a)) (* -1 (log t))))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a))))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
a |
(* -1 (* a (- (* 1/2 (/ 1 a)) 1))) |
(* -1 (* a (- (* 1/2 (/ 1 a)) 1))) |
(* -1 (* a (- (* 1/2 (/ 1 a)) 1))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a))))) |
(/ 1 (* a (log t))) |
(* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2))) a)) (/ 1 (log t))) a)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))) (* a (log t)))) (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2)))) (/ (log (* z (+ x y))) (pow (log t) 2))) a)) (/ 1 (log t))) a)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))) (* a (pow (log t) 2)))) (* -1 (/ (* (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))) (log t)))) a)) (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2)))) (/ (log (* z (+ x y))) (pow (log t) 2))) a)) (/ 1 (log t))) a)) |
(* (sqrt (/ 1 (* a (log t)))) (pow (sqrt -1) 2)) |
(+ (* 1/2 (* (sqrt (/ (log t) (pow a 3))) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2))))) (* (sqrt (/ 1 (* a (log t)))) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (log t)))) (* (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))))) (+ (* 1/2 (* (sqrt (/ (log t) (pow a 3))) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2))))) (* (sqrt (/ 1 (* a (log t)))) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (log t))) (* (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))))) (* 1/2 (* (sqrt (/ (log t) a)) (+ (* -1 (/ (* (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))) (pow (log t) 2))) (* -1/4 (/ (* a (* (log t) (pow (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2))) 2))) (pow (sqrt -1) 2))))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ (log t) (pow a 3))) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2))))) (* (sqrt (/ 1 (* a (log t)))) (pow (sqrt -1) 2)))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a))))) |
(/ 1 a) |
(/ (+ 1 (* 1/2 (/ 1 a))) a) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 a))) a)) 1) a)) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (+ (/ 1/8 (pow a 2)) (* 1/4 (/ 1 a)))) a)) 1) a)) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log z) (log (+ x y))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
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(* x z) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
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(* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)) |
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(+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) |
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(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) |
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(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1) |
(- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ y (* t x)) (/ (log (* -1 z)) t))) 1) |
(- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* 1/2 (/ (pow y 2) (* t x)))) x)) (/ (log (* -1 z)) t))) 1) |
(- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) t)) (* 1/3 (/ (pow y 3) (* t x)))) x))) x)) (/ (log (* -1 z)) t))) 1) |
(* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1)) |
(+ (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1)) (/ y x)) |
(+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1))) |
(+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) |
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(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2))))) t) |
(/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t)) |
(+ (* -1 (/ y (* x (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2)))) (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) |
(+ (* -1 (/ (- (+ (* -1 (/ (pow y 2) (* x (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3)))) (* -1/2 (/ (pow y 2) (* x (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))))) (* -1 (/ y (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2)))) x)) (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow y 3) (* x (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3)))) (+ (* -1/3 (/ (pow y 3) (* x (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2)))) (/ (* y (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))))) (* x (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))))) (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))))) x)) (* -1 (/ y (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2)))) x)) (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) |
(sqrt (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) |
(+ (sqrt (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) (* -1/2 (* (/ y x) (sqrt (/ 1 (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3)))))) |
(+ (sqrt (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) (* -1 (/ (+ (* 1/2 (* y (sqrt (/ 1 (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))))) (* 1/2 (* (/ (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (+ (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))) (* 1/4 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))))) x) (sqrt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))))) x))) |
(+ (sqrt (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (+ (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))) (* 1/4 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))))) (sqrt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t)))) (* 1/2 (* (/ (+ (* -1/2 (/ (* y (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (+ (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))) (* 1/4 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3)))))) (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) (+ (* -1/2 (/ (pow y 3) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (+ (* -1/3 (/ (pow y 3) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))) (/ (* y (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))))) (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))))) x) (sqrt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))))) x)) (* 1/2 (* y (sqrt (/ 1 (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3)))))) x))) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2))))) t) |
| Outputs |
|---|
(* -1/2 (log t)) |
(*.f64 (log.f64 t) #s(literal -1/2 binary64)) |
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(*.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (log.f64 t)) (/.f64 t a)) a) |
a |
(* a (- 1 (* 1/2 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) |
(* a (- 1 (* 1/2 (/ 1 a)))) |
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(* a (- 1 (* 1/2 (/ 1 a)))) |
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(* a (log t)) |
(*.f64 a (log.f64 t)) |
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(/ 1 (* a (log t))) |
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(sqrt (/ 1 (* a (log t)))) |
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(* a (log t)) |
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(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a)) (/.f64 t a)) a) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a)) (/.f64 t a)) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ (+ 1 (* 1/2 (/ 1 a))) a) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) |
(/ (+ 1 (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 a)))) a) |
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(* a (log t)) |
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(* a (log t)) |
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a |
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(+ (sqrt (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) (* -1/2 (* (/ y x) (sqrt (/ 1 (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t)))) |
(+ (sqrt (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) (* -1 (/ (+ (* 1/2 (* y (sqrt (/ 1 (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))))) (* 1/2 (* (/ (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (+ (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))) (* 1/4 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))))) x) (sqrt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))))) x))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 3 binary64)))) y (*.f64 (sqrt.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t)) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 3 binary64)))) (/.f64 (*.f64 y y) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 3 binary64)))) x)))) x)) |
(+ (sqrt (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (+ (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))) (* 1/4 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))))) (sqrt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t)))) (* 1/2 (* (/ (+ (* -1/2 (/ (* y (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (+ (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))) (* 1/4 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3)))))) (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) (+ (* -1/2 (/ (pow y 3) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (+ (* -1/3 (/ (pow y 3) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))) (/ (* y (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))))) (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))))) x) (sqrt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))))) x)) (* 1/2 (* y (sqrt (/ 1 (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3)))))) x))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 3 binary64)))) (/.f64 (*.f64 y y) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 3 binary64)))) (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 y (/.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (*.f64 y y)) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 3 binary64)))) (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t)))))) x)) (sqrt.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t)) (*.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t)) (-.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 3 binary64)))) (/.f64 (*.f64 y y) (pow.f64 (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (neg.f64 x))) x)) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) |
(-.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(-.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 y x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2))))) t) |
(-.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2))))) t) |
(-.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x) y)) (neg.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t) |
| 8 052× | lower-fma.f32 |
| 8 046× | lower-fma.f64 |
| 4 548× | lower-*.f32 |
| 4 540× | lower-*.f64 |
| 4 516× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 253 |
| 0 | 80 | 247 |
| 1 | 336 | 212 |
| 2 | 2785 | 212 |
| 0 | 10296 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)) |
(+.f64 #s(literal 0 binary64) t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) |
(*.f64 (neg.f64 t) t) |
(-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)) |
(*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) |
(-.f64 a #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))) |
(neg.f64 t) |
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) |
| Outputs |
|---|
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Compiled 104 285 to 9 227 computations (91.2% saved)
60 alts after pruning (59 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 512 | 41 | 3 553 |
| Fresh | 17 | 18 | 35 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 3 534 | 60 | 3 594 |
| Status | Accuracy | Program |
|---|---|---|
| 57.4% | (fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| 57.4% | (fma.f64 (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| 47.6% | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))))) | |
| ▶ | 99.2% | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) |
| 75.2% | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) | |
| 31.7% | (pow.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 13.4% | (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) | |
| 31.8% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 17.6% | (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (log.f64 t))))) #s(literal 2 binary64))) | |
| 44.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (-.f64 a #s(literal -1/2 binary64))) (fma.f64 (fma.f64 (neg.f64 t) t (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))))) | |
| 73.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t)))) | |
| 27.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t)))) | |
| 25.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 t (pow.f64 (log.f64 t) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 t))) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (pow.f64 (log.f64 t) #s(literal 2 binary64)))) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (log.f64 t))) (neg.f64 a)))) | |
| 38.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t))) | |
| 57.4% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (fma.f64 (/.f64 (log.f64 t) (pow.f64 (fma.f64 a a #s(literal -1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) a)) t)) | |
| 73.9% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log.f64 t)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 t)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) | |
| 74.2% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a))))) | |
| ▶ | 64.3% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) |
| 74.0% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) | |
| 99.2% | (-.f64 #s(approx (log (* (+ x y) z)) (+.f64 (log.f64 y) (log.f64 z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) | |
| ▶ | 31.8% | (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
| 36.9% | (+.f64 (-.f64 (-.f64 (log.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z)) (log.f64 (-.f64 y x))) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) | |
| 27.6% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 68.1% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal -1/2 binary64) a #s(literal 1/4 binary64))))) | |
| 73.3% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 x y))) t (*.f64 (neg.f64 t) (log.f64 z))) (*.f64 (neg.f64 t) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 52.2% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) | |
| 75.1% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) | |
| 30.4% | (exp.f64 (log.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) | |
| 52.3% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))) a (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64)))) | |
| 13.9% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (/.f64 (fma.f64 (*.f64 (+.f64 (log.f64 (*.f64 x z)) t) (fma.f64 a a #s(literal -1/4 binary64))) (log.f64 t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 (log.f64 (*.f64 x z)) t) (+.f64 #s(literal 1/2 binary64) a)))) | |
| 53.4% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t)) | |
| 35.2% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t))) | |
| 64.3% | #s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (fma.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) t (neg.f64 t))) | |
| 74.0% | #s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) | |
| 27.1% | #s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t)) | |
| 50.3% | #s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) | |
| 99.2% | #s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)) | |
| 67.2% | #s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a)) (/.f64 t a)) a)) | |
| 64.3% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) | |
| 66.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t)) | |
| 71.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t)) #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) #s(literal 1 binary64)) t)) | |
| 87.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (fma.f64 (+.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t))) | |
| 7.4% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) | |
| 12.3% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t))) | |
| 17.4% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t))) | |
| 17.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))) t) (+.f64 #s(literal 0 binary64) t))) | |
| 19.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t))) | |
| 19.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)))) | |
| 17.4% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t)))) | |
| 9.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))) | |
| 17.4% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)))) | |
| ▶ | 19.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
| 10.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))) | |
| 17.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t)))) | |
| 10.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t)))) | |
| 17.4% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t)))) | |
| 19.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64))))) | |
| 19.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t))) | |
| ▶ | 38.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) |
| ✓ | 38.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
Compiled 2 383 to 1 961 computations (17.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) | |
| cost-diff | 0 | (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) | |
| cost-diff | 128 | (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) | |
| cost-diff | 7104 | (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (log.f64 (*.f64 (+.f64 x y) z)) | |
| cost-diff | 0 | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) | |
| cost-diff | 128 | (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) | |
| cost-diff | 1024 | (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) | |
| cost-diff | 320 | (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))) | |
| cost-diff | 704 | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))) | |
| cost-diff | 6912 | (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))) | |
| cost-diff | 0 | (neg.f64 t) | |
| cost-diff | 0 | (*.f64 (neg.f64 t) t) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) | |
| cost-diff | 1024 | (/.f64 (*.f64 (neg.f64 t) t) t) | |
| cost-diff | 0 | #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (log.f64 t) | |
| cost-diff | 0 | (-.f64 a #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) |
| 7 082× | lower-fma.f32 |
| 7 076× | lower-fma.f64 |
| 2 912× | lower-*.f32 |
| 2 900× | lower-*.f64 |
| 2 228× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 468 |
| 0 | 101 | 451 |
| 1 | 171 | 421 |
| 2 | 373 | 413 |
| 3 | 932 | 407 |
| 4 | 3641 | 401 |
| 5 | 6923 | 401 |
| 0 | 8062 | 387 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
t |
#s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))) |
(*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))) |
#s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))) |
(/.f64 (log.f64 y) t) |
(log.f64 y) |
y |
(-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)) |
(/.f64 (log.f64 z) t) |
(log.f64 z) |
z |
#s(literal 1 binary64) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
(/.f64 (*.f64 (neg.f64 t) t) t) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
t |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) |
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))) |
(neg.f64 t) |
t |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))) |
(pow.f64 t #s(literal -1 binary64)) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
#s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)) |
(*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) |
(fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) |
(neg.f64 (log.f64 t)) |
(log.f64 t) |
t |
(/.f64 (-.f64 a #s(literal 1/2 binary64)) t) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) |
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) |
(sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
#s(literal 2 binary64) |
t |
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) |
(fma.f64 a a #s(literal -1/4 binary64)) |
a |
#s(literal -1/4 binary64) |
(log.f64 t) |
(-.f64 a #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (fma.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 (log.f64 z) (log.f64 y)) #s(literal -1 binary64))) t))) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
t |
#s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (fma.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 (log.f64 z) (log.f64 y)) #s(literal -1 binary64))) t)) |
(*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))) |
(*.f64 #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (fma.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 (log.f64 z) (log.f64 y)) #s(literal -1 binary64))) t) |
#s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) |
#s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (fma.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 (log.f64 z) (log.f64 y)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 (log.f64 z) (log.f64 y)) #s(literal -1 binary64)) |
(/.f64 (log.f64 y) t) |
(log.f64 y) |
y |
(-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)) |
(/.f64 (log.f64 z) t) |
(log.f64 z) |
z |
#s(literal 1 binary64) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 t) t) t) |
(neg.f64 t) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
t |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))) |
(neg.f64 t) |
(neg.f64 t) |
t |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(pow.f64 t #s(literal -1 binary64)) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(approx (- t (* (log t) (- a 1/2))) (fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(log.f64 (*.f64 z (+.f64 y x))) |
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
#s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)) |
#s(approx (- t (* (log t) (- a 1/2))) (fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t)) |
(*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t) |
(fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (log.f64 t) t) (-.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) |
(neg.f64 (log.f64 t)) |
(log.f64 t) |
t |
(/.f64 (-.f64 a #s(literal 1/2 binary64)) t) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (-.f64 a #s(literal -1/2 binary64))) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) |
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) |
(log.f64 (*.f64 z (+.f64 y x))) |
(sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) |
(sqrt.f64 (log.f64 (*.f64 z (+.f64 y x)))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(log.f64 (*.f64 z (+.f64 y x))) |
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
#s(literal 2 binary64) |
t |
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) |
(fma.f64 a a #s(literal -1/4 binary64)) |
a |
#s(literal -1/4 binary64) |
(log.f64 t) |
(-.f64 a #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) | |
| accuracy | 0.3125 | (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) | |
| accuracy | 9.08796214278677 | (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) | |
| accuracy | 14.285831023835673 | (log.f64 (*.f64 (+.f64 x y) z)) | |
| accuracy | 0.06640625 | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) | |
| accuracy | 0.140625 | (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) | |
| accuracy | 4.996318090977152 | (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) | |
| accuracy | 14.285831023835673 | (log.f64 (*.f64 (+.f64 x y) z)) | |
| accuracy | 0 | (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 0.08203125 | (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))) | |
| accuracy | 26.173104649773197 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) | |
| accuracy | 0 | (*.f64 (neg.f64 t) t) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 18.93014622872729 | (/.f64 (*.f64 (neg.f64 t) t) t) | |
| accuracy | 26.173104649773197 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) | |
| accuracy | 0.14453125 | (/.f64 (log.f64 z) t) | |
| accuracy | 0.1484375 | (/.f64 (log.f64 y) t) | |
| accuracy | 0.17586591422991552 | (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))) | |
| accuracy | 0.24737722743872378 | #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) |
| 67.0ms | 162× | 0 | valid |
| 40.0ms | 94× | 0 | invalid |
Compiled 354 to 57 computations (83.9% saved)
ival-mult: 22.0ms (27.7% of total)ival-log: 18.0ms (22.6% of total)ival-div: 11.0ms (13.8% of total)ival-add: 9.0ms (11.3% of total)ival-sub: 9.0ms (11.3% of total)ival-pow: 3.0ms (3.8% of total)ival-sqrt: 2.0ms (2.5% of total)ival-pow2: 2.0ms (2.5% of total)ival-neg: 2.0ms (2.5% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) #<representation binary64>) () ()) |
#s(alt (-.f64 a #s(literal 1/2 binary64)) (patch (-.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))) (patch #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 t) t) t) (patch (/.f64 (*.f64 (neg.f64 t) t) t) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 t) t) (patch (*.f64 (neg.f64 t) t) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))) (patch (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))) (patch (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) (patch (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) #<representation binary64>) () ()) |
#s(alt (log.f64 (*.f64 (+.f64 x y) z)) (patch (log.f64 (*.f64 (+.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) (patch (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (patch (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) (patch (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) (patch #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))) (patch (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 y) t) (patch (/.f64 (log.f64 y) t) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 z) t) (patch (/.f64 (log.f64 z) t) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) (patch (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor 0 a) (#s(alt (-.f64 a #s(literal 1/2 binary64)) (patch (-.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- a 1/2) (taylor 0 a) (#s(alt (-.f64 a #s(literal 1/2 binary64)) (patch (-.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- a 1/2) (taylor 0 a) (#s(alt (-.f64 a #s(literal 1/2 binary64)) (patch (-.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- a 1/2) (taylor 0 a) (#s(alt (-.f64 a #s(literal 1/2 binary64)) (patch (-.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (* 1/2 (/ (log t) t)))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) (patch (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t))))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) (patch (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t))))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) (patch (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t))))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) (patch (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (/ (log t) t))) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (taylor 0 a) (#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) (patch (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) (patch (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) (patch (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) (patch (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (log t)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) (patch (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) (patch (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) (patch (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) (patch (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* a (log t)) (taylor inf a) (#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (sqrt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (* -1/3 (pow y 3)) (* -1/2 (/ (* y (- (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) x) (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (* 1/2 (* (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (- (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))))) x)) (* -1/2 (* y (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))))) x))) (taylor -inf x) (#s(alt (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) (patch (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1) (taylor -inf x) (#s(alt #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) (patch #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ y (* t x)) (/ (log (* -1 z)) t))) 1) (taylor -inf x) (#s(alt #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) (patch #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* 1/2 (/ (pow y 2) (* t x)))) x)) (/ (log (* -1 z)) t))) 1) (taylor -inf x) (#s(alt #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) (patch #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) t)) (* 1/3 (/ (pow y 3) (* t x)))) x))) x)) (/ (log (* -1 z)) t))) 1) (taylor -inf x) (#s(alt #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) (patch #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 84.0ms | y | @ | -inf | ((+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (log t) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (* (neg t) (pow t -1)) (/ -1 (* (neg t) (pow t -1))) (* (neg t) (/ -1 (* (neg t) (pow t -1)))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) t) (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (pow (sqrt (log (* (+ x y) z))) 2) (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (pow (sqrt (log (* (+ x y) z))) 2) t) (sqrt (log (* (+ x y) z))) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+ (/ (log y) t) (- (/ (log z) t) 1)) (/ (log y) t) (/ (log z) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) |
| 54.0ms | z | @ | 0 | ((+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (log t) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (* (neg t) (pow t -1)) (/ -1 (* (neg t) (pow t -1))) (* (neg t) (/ -1 (* (neg t) (pow t -1)))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) t) (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (pow (sqrt (log (* (+ x y) z))) 2) (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (pow (sqrt (log (* (+ x y) z))) 2) t) (sqrt (log (* (+ x y) z))) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+ (/ (log y) t) (- (/ (log z) t) 1)) (/ (log y) t) (/ (log z) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) |
| 44.0ms | t | @ | inf | ((+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (log t) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (* (neg t) (pow t -1)) (/ -1 (* (neg t) (pow t -1))) (* (neg t) (/ -1 (* (neg t) (pow t -1)))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) t) (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (pow (sqrt (log (* (+ x y) z))) 2) (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (pow (sqrt (log (* (+ x y) z))) 2) t) (sqrt (log (* (+ x y) z))) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+ (/ (log y) t) (- (/ (log z) t) 1)) (/ (log y) t) (/ (log z) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) |
| 39.0ms | z | @ | inf | ((+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (log t) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (* (neg t) (pow t -1)) (/ -1 (* (neg t) (pow t -1))) (* (neg t) (/ -1 (* (neg t) (pow t -1)))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) t) (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (pow (sqrt (log (* (+ x y) z))) 2) (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (pow (sqrt (log (* (+ x y) z))) 2) t) (sqrt (log (* (+ x y) z))) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+ (/ (log y) t) (- (/ (log z) t) 1)) (/ (log y) t) (/ (log z) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) |
| 39.0ms | z | @ | -inf | ((+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (log t) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (* (neg t) (pow t -1)) (/ -1 (* (neg t) (pow t -1))) (* (neg t) (/ -1 (* (neg t) (pow t -1)))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) t) (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (pow (sqrt (log (* (+ x y) z))) 2) (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (pow (sqrt (log (* (+ x y) z))) 2) t) (sqrt (log (* (+ x y) z))) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+ (/ (log y) t) (- (/ (log z) t) 1)) (/ (log y) t) (/ (log z) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) |
| 1× | egg-herbie |
| 9 010× | lower-fma.f64 |
| 9 010× | lower-fma.f32 |
| 6 084× | lower-+.f64 |
| 6 084× | lower-+.f32 |
| 4 656× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1029 | 13182 |
| 1 | 3085 | 12473 |
| 0 | 8154 | 11965 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
-1/2 |
(- a 1/2) |
(- a 1/2) |
(- a 1/2) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(* t (+ 1 (* 1/2 (/ (log t) t)))) |
(+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t))))) |
(+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t))))) |
(+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t))))) |
(+ 1 (* 1/2 (/ (log t) t))) |
(+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))) |
(+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))) |
(+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))) |
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(* -1/2 (log t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
a |
(* a (- 1 (* 1/2 (/ 1 a)))) |
(* a (- 1 (* 1/2 (/ 1 a)))) |
(* a (- 1 (* 1/2 (/ 1 a)))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* -1 (* a (log t))) |
(* a (+ (* -1 (log t)) (/ (* t (+ 1 (* 1/2 (/ (log t) t)))) a))) |
(* a (+ (* -1 (log t)) (/ (* t (+ 1 (* 1/2 (/ (log t) t)))) a))) |
(* a (+ (* -1 (log t)) (/ (* t (+ 1 (* 1/2 (/ (log t) t)))) a))) |
(* -1 (/ (* a (log t)) t)) |
(* a (+ (* -1 (/ (log t) t)) (+ (* 1/2 (/ (log t) (* a t))) (/ 1 a)))) |
(* a (+ (* -1 (/ (log t) t)) (+ (* 1/2 (/ (log t) (* a t))) (/ 1 a)))) |
(* a (+ (* -1 (/ (log t) t)) (+ (* 1/2 (/ (log t) (* a t))) (/ 1 a)))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a))) |
(* a (log t)) |
(* a (- (+ (log t) (/ (log (* z (+ x y))) a)) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (/ (log (* z (+ x y))) a)) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (/ (log (* z (+ x y))) a)) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (log t)) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
a |
(* -1 (* a (- (* 1/2 (/ 1 a)) 1))) |
(* -1 (* a (- (* 1/2 (/ 1 a)) 1))) |
(* -1 (* a (- (* 1/2 (/ 1 a)) 1))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (log t))) |
(* -1 (* a (+ (log t) (* -1 (/ (* t (+ 1 (* 1/2 (/ (log t) t)))) a))))) |
(* -1 (* a (+ (log t) (* -1 (/ (* t (+ 1 (* 1/2 (/ (log t) t)))) a))))) |
(* -1 (* a (+ (log t) (* -1 (/ (* t (+ 1 (* 1/2 (/ (log t) t)))) a))))) |
(* -1 (/ (* a (log t)) t)) |
(* -1 (* a (+ (* -1 (/ (+ 1 (* 1/2 (/ (log t) t))) a)) (/ (log t) t)))) |
(* -1 (* a (+ (* -1 (/ (+ 1 (* 1/2 (/ (log t) t))) a)) (/ (log t) t)))) |
(* -1 (* a (+ (* -1 (/ (+ 1 (* 1/2 (/ (log t) t))) a)) (/ (log t) t)))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a))))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (log (* z (+ x y))) (+ t (* 1/2 (log t)))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (log (* z (+ x y))) (+ t (* 1/2 (log t)))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (log (* z (+ x y))) (+ t (* 1/2 (log t)))) a))))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(log t) |
(log t) |
(log t) |
(log t) |
(+ (log z) (log (+ x y))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(* -1 (pow t 2)) |
(* -1 (pow t 2)) |
(* -1 (pow t 2)) |
(* -1 (pow t 2)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
-1 |
-1 |
-1 |
-1 |
1 |
1 |
1 |
1 |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(* -1 (* (log t) (- a 1/2))) |
(+ t (* -1 (* (log t) (- a 1/2)))) |
(+ t (* -1 (* (log t) (- a 1/2)))) |
(+ t (* -1 (* (log t) (- a 1/2)))) |
(* -1 (/ (* (log t) (- a 1/2)) t)) |
(/ (+ t (* -1 (* (log t) (- a 1/2)))) t) |
(/ (+ t (* -1 (* (log t) (- a 1/2)))) t) |
(/ (+ t (* -1 (* (log t) (- a 1/2)))) t) |
(+ (log (* z (+ x y))) (* (log t) (- a 1/2))) |
(+ (log (* z (+ x y))) (+ (* -1 t) (* (log t) (- a 1/2)))) |
(+ (log (* z (+ x y))) (+ (* -1 t) (* (log t) (- a 1/2)))) |
(+ (log (* z (+ x y))) (+ (* -1 t) (* (log t) (- a 1/2)))) |
(+ (log (* z (+ x y))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))) |
(+ (log (* z (+ x y))) (+ (* -1 t) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) |
(+ (log (* z (+ x y))) (+ (* -1 t) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) |
(+ (log (* z (+ x y))) (+ (* -1 t) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) |
(log (* z (+ x y))) |
(+ (log (* z (+ x y))) (* -1 t)) |
(+ (log (* z (+ x y))) (* -1 t)) |
(+ (log (* z (+ x y))) (* -1 t)) |
(/ (log (* z (+ x y))) t) |
(/ (+ (log (* z (+ x y))) (* -1 t)) t) |
(/ (+ (log (* z (+ x y))) (* -1 t)) t) |
(/ (+ (log (* z (+ x y))) (* -1 t)) t) |
(/ (+ (log y) (log z)) t) |
(/ (+ (log y) (+ (log z) (* -1 t))) t) |
(/ (+ (log y) (+ (log z) (* -1 t))) t) |
(/ (+ (log y) (+ (log z) (* -1 t))) t) |
(/ (log y) t) |
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(+ (sqrt (log (* y z))) (* x (+ (* 1/2 (* (/ 1 y) (sqrt (/ 1 (log (* y z)))))) (* x (+ (* -1/2 (* (sqrt (/ 1 (log (* y z)))) (+ (* 1/4 (/ 1 (* (pow y 2) (log (* y z))))) (* 1/2 (/ 1 (pow y 2)))))) (* 1/2 (* (* x (- (* 1/3 (/ 1 (pow y 3))) (* -1/2 (/ (+ (* 1/4 (/ 1 (* (pow y 2) (log (* y z))))) (* 1/2 (/ 1 (pow y 2)))) (* y (log (* y z))))))) (sqrt (/ 1 (log (* y z))))))))))) |
(- (/ (log (* y z)) t) 1) |
(- (+ (/ x (* t y)) (/ (log (* y z)) t)) 1) |
(- (+ (* x (+ (* -1/2 (/ x (* t (pow y 2)))) (/ 1 (* t y)))) (/ (log (* y z)) t)) 1) |
(- (+ (* x (+ (* x (- (* 1/3 (/ x (* t (pow y 3)))) (* 1/2 (/ 1 (* t (pow y 2)))))) (/ 1 (* t y)))) (/ (log (* y z)) t)) 1) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(- (+ (log z) (* -1 (log (/ 1 x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (/ y x) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (/ y x) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))))) t) |
(- (+ (log z) (* -1 (log (/ 1 x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) t) |
(sqrt (+ (log z) (* -1 (log (/ 1 x))))) |
(+ (sqrt (+ (log z) (* -1 (log (/ 1 x))))) (* 1/2 (* (/ y x) (sqrt (/ 1 (+ (log z) (* -1 (log (/ 1 x))))))))) |
(+ (sqrt (+ (log z) (* -1 (log (/ 1 x))))) (+ (* 1/2 (* (/ y x) (sqrt (/ 1 (+ (log z) (* -1 (log (/ 1 x)))))))) (* 1/2 (* (/ (- (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 2) (+ (log z) (* -1 (log (/ 1 x))))))) (pow x 2)) (sqrt (/ 1 (+ (log z) (* -1 (log (/ 1 x)))))))))) |
(+ (sqrt (+ (log z) (* -1 (log (/ 1 x))))) (+ (* 1/2 (* (/ y x) (sqrt (/ 1 (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (* (/ (- (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 2) (+ (log z) (* -1 (log (/ 1 x))))))) (pow x 2)) (sqrt (/ 1 (+ (log z) (* -1 (log (/ 1 x)))))))) (* 1/2 (* (/ (- (* 1/3 (pow y 3)) (* 1/2 (/ (* y (- (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 2) (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (log z) (* -1 (log (/ 1 x))))))) (pow x 3)) (sqrt (/ 1 (+ (log z) (* -1 (log (/ 1 x))))))))))) |
(- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1) |
(- (+ (* -1 (/ (log (/ 1 x)) t)) (+ (/ y (* t x)) (/ (log z) t))) 1) |
(- (+ (* -1 (/ (log (/ 1 x)) t)) (+ (* -1/2 (/ (pow y 2) (* t (pow x 2)))) (+ (/ y (* t x)) (/ (log z) t)))) 1) |
(- (+ (* -1 (/ (log (/ 1 x)) t)) (+ (* -1/2 (/ (pow y 2) (* t (pow x 2)))) (+ (* 1/3 (/ (pow y 3) (* t (pow x 3)))) (+ (/ y (* t x)) (/ (log z) t))))) 1) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2))))) t) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (/ y x) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) t) |
(sqrt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) |
(+ (sqrt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (* 1/2 (* (/ y x) (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))))) |
(+ (sqrt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (* -1 (/ (+ (* -1/2 (* y (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (* -1/2 (* (/ (- (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) x) (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))))) x))) |
(+ (sqrt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (* -1/3 (pow y 3)) (* -1/2 (/ (* y (- (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) x) (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (* 1/2 (* (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (- (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))))) x)) (* -1/2 (* y (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))))) x))) |
(- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1) |
(- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ y (* t x)) (/ (log (* -1 z)) t))) 1) |
(- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* 1/2 (/ (pow y 2) (* t x)))) x)) (/ (log (* -1 z)) t))) 1) |
(- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) t)) (* 1/3 (/ (pow y 3) (* t x)))) x))) x)) (/ (log (* -1 z)) t))) 1) |
| Outputs |
|---|
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
-1/2 |
#s(literal -1/2 binary64) |
(- a 1/2) |
(-.f64 a #s(literal 1/2 binary64)) |
(- a 1/2) |
(-.f64 a #s(literal 1/2 binary64)) |
(- a 1/2) |
(-.f64 a #s(literal 1/2 binary64)) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(* t (+ 1 (* 1/2 (/ (log t) t)))) |
(*.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) #s(literal 1 binary64)) t) |
(+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t))))) |
(fma.f64 (neg.f64 a) (log.f64 t) (*.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) #s(literal 1 binary64)) t)) |
(+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t))))) |
(fma.f64 (neg.f64 a) (log.f64 t) (*.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) #s(literal 1 binary64)) t)) |
(+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t))))) |
(fma.f64 (neg.f64 a) (log.f64 t) (*.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) #s(literal 1 binary64)) t)) |
(+ 1 (* 1/2 (/ (log t) t))) |
(fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 t) t) a)) (*.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64))) |
(+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 t) t) a)) (*.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64))) |
(+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 t) t) a)) (*.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64))) |
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(* -1/2 (log t)) |
(*.f64 (log.f64 t) #s(literal -1/2 binary64)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) |
(* a (log t)) |
(*.f64 a (log.f64 t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(*.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)) a) |
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(-.f64 (sqrt.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) y (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (neg.f64 x))) x)) |
(- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1) |
(-.f64 (-.f64 (/.f64 (log.f64 (neg.f64 z)) t) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) t)) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ y (* t x)) (/ (log (* -1 z)) t))) 1) |
(-.f64 (-.f64 (+.f64 (/.f64 (log.f64 (neg.f64 z)) t) (/.f64 (/.f64 y x) t)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) t)) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* 1/2 (/ (pow y 2) (* t x)))) x)) (/ (log (* -1 z)) t))) 1) |
(-.f64 (-.f64 (-.f64 (/.f64 (log.f64 (neg.f64 z)) t) (/.f64 (fma.f64 (*.f64 y (/.f64 (/.f64 y x) t)) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) t)) x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) t)) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) t)) (* 1/3 (/ (pow y 3) (* t x)))) x))) x)) (/ (log (* -1 z)) t))) 1) |
(-.f64 (-.f64 (-.f64 (/.f64 (log.f64 (neg.f64 z)) t) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) t) #s(literal 1/3 binary64) (*.f64 (*.f64 y (/.f64 y t)) #s(literal -1/2 binary64))) (neg.f64 x)) (/.f64 y t)) x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) t)) #s(literal 1 binary64)) |
| 3 546× | lower-/.f32 |
| 3 536× | lower-/.f64 |
| 3 190× | lower-fma.f32 |
| 3 184× | lower-fma.f64 |
| 3 118× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 331 |
| 0 | 101 | 316 |
| 1 | 409 | 264 |
| 2 | 3506 | 260 |
| 0 | 8153 | 253 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) |
(-.f64 a #s(literal 1/2 binary64)) |
(log.f64 t) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (neg.f64 t) t) t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
(*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) |
(fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) |
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) |
(sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) |
#s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))) |
(/.f64 (log.f64 y) t) |
(/.f64 (log.f64 z) t) |
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) |
| Outputs |
|---|
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Compiled 46 730 to 4 727 computations (89.9% saved)
60 alts after pruning (58 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 763 | 14 | 1 777 |
| Fresh | 10 | 44 | 54 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 777 | 60 | 1 837 |
| Status | Accuracy | Program |
|---|---|---|
| 57.4% | (fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| 57.4% | (fma.f64 (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| 62.2% | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)))) | |
| 47.6% | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))))) | |
| 99.2% | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 y))) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) | |
| 75.2% | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t))) | |
| 67.8% | (fma.f64 (*.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal -1/2 binary64) a #s(literal 1/4 binary64)))) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) | |
| 65.6% | (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) | |
| 31.7% | (pow.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 13.4% | (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) | |
| 31.8% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 17.6% | (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (log.f64 t))))) #s(literal 2 binary64))) | |
| 44.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (-.f64 a #s(literal -1/2 binary64))) (fma.f64 (fma.f64 (neg.f64 t) t (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))))) | |
| 73.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t)))) | |
| 27.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t)))) | |
| 25.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 t (pow.f64 (log.f64 t) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 t))) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (pow.f64 (log.f64 t) #s(literal 2 binary64)))) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (log.f64 t))) (neg.f64 a)))) | |
| 38.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t))) | |
| 57.4% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (fma.f64 (/.f64 (log.f64 t) (pow.f64 (fma.f64 a a #s(literal -1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) a)) t)) | |
| 73.9% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log.f64 t)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 t)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) | |
| 74.2% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a))))) | |
| 64.2% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 (log.f64 t))) #s(literal 1 binary64)) t))) | |
| 50.3% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) t) #s(literal 1 binary64)) t))) | |
| 19.0% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (*.f64 (neg.f64 a) (/.f64 (log.f64 t) t))) t))) | |
| 31.4% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t))) | |
| 74.0% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) | |
| 27.7% | (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) #s(approx (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) | |
| 36.9% | (+.f64 (-.f64 (-.f64 (log.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z)) (log.f64 (-.f64 y x))) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) | |
| 27.6% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 68.1% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal -1/2 binary64) a #s(literal 1/4 binary64))))) | |
| 52.2% | (+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) | |
| 75.1% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) | |
| 30.4% | (exp.f64 (log.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) | |
| 52.3% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))) a (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64)))) | |
| 53.4% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t)) | |
| 35.2% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t))) | |
| 64.3% | #s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (fma.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) t (neg.f64 t))) | |
| 74.0% | #s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) | |
| 27.1% | #s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t)) | |
| 50.3% | #s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) | |
| 99.2% | #s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)) | |
| 67.2% | #s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a)) (/.f64 t a)) a)) | |
| 64.3% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) | |
| 57.2% | #s(approx (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t))) | |
| 66.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t)) | |
| 71.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t)) #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) #s(literal 1 binary64)) t)) | |
| 87.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (fma.f64 (+.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t))) | |
| 12.3% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t))) | |
| 17.4% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t))) | |
| 17.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))) t) (+.f64 #s(literal 0 binary64) t))) | |
| 19.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t)) | |
| 19.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)))) | |
| 17.4% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t)))) | |
| 9.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))) | |
| 17.4% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)))) | |
| ✓ | 19.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
| 10.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t)))) | |
| 17.4% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t)))) | |
| 19.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t))) | |
| 18.3% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64)))))) | |
| ✓ | 38.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
Compiled 3 687 to 1 537 computations (58.3% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t)) |
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(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(+.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (*.f64 (+.f64 x y) z)))) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64))) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal -1/2 binary64) a #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal -1/2 binary64) a #s(literal 1/4 binary64)))) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log.f64 t)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 t)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (/.f64 (fma.f64 (*.f64 (+.f64 (log.f64 (*.f64 x z)) t) (fma.f64 a a #s(literal -1/4 binary64))) (log.f64 t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 (log.f64 (*.f64 x z)) t) (+.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (-.f64 a #s(literal -1/2 binary64))) (fma.f64 (fma.f64 (neg.f64 t) t (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 t (*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) a)) (/.f64 #s(literal 1 binary64) (log.f64 t))) (/.f64 #s(literal 1/2 binary64) (*.f64 a (log.f64 t)))) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) a))) a))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 t (pow.f64 (log.f64 t) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 t))) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (pow.f64 (log.f64 t) #s(literal 2 binary64)))) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (log.f64 t))) (neg.f64 a)))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) (-.f64 a #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) t)))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (fma.f64 t t (*.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) t))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))) a (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64)))) |
| Outputs |
|---|
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
11 calls:
| 53.0ms | y |
| 50.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 50.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 40.0ms | (+.f64 x y) |
| 37.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | z |
| 99.5% | 1 | t |
| 99.5% | 1 | a |
| 99.5% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 99.5% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 99.5% | 1 | (log.f64 (+.f64 x y)) |
| 99.5% | 1 | (+.f64 x y) |
| 99.5% | 1 | (log.f64 z) |
| 99.5% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 40 to 75 computations (-87.5% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64)))))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t)))) |
#s(approx (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (*.f64 (neg.f64 a) (/.f64 (log.f64 t) t))) t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) t) #s(literal 1 binary64)) t))) |
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (log.f64 t))))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (fma.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) t (neg.f64 t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))) t) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) t) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) |
(-.f64 #s(approx (log (* (+ x y) z)) (+.f64 (log.f64 y) (log.f64 z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) |
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) #s(approx (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(fma.f64 (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 (log.f64 t))) #s(literal 1 binary64)) t))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
11 calls:
| 61.0ms | z |
| 39.0ms | (+.f64 x y) |
| 32.0ms | x |
| 30.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 26.0ms | (log.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 99.5% | 1 | (log.f64 (+.f64 x y)) |
| 99.5% | 1 | (+.f64 x y) |
| 99.5% | 1 | z |
| 99.5% | 1 | t |
| 99.5% | 1 | a |
| 99.5% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 99.5% | 1 | (log.f64 z) |
| 99.5% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 40 to 75 computations (-87.5% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64)))))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t)))) |
#s(approx (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (*.f64 (neg.f64 a) (/.f64 (log.f64 t) t))) t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) t) #s(literal 1 binary64)) t))) |
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (log.f64 t))))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (fma.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) t (neg.f64 t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))) t) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) t) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) |
(-.f64 #s(approx (log (* (+ x y) z)) (+.f64 (log.f64 y) (log.f64 z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)) |
11 calls:
| 61.0ms | y |
| 54.0ms | (+.f64 x y) |
| 45.0ms | x |
| 39.0ms | (log.f64 z) |
| 31.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | y |
| 99.2% | 1 | z |
| 99.2% | 1 | t |
| 99.2% | 1 | a |
| 99.2% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 99.2% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 99.2% | 1 | (log.f64 (+.f64 x y)) |
| 99.2% | 1 | (+.f64 x y) |
| 99.2% | 1 | (log.f64 z) |
| 99.2% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 40 to 75 computations (-87.5% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64)))))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t)))) |
#s(approx (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (*.f64 (neg.f64 a) (/.f64 (log.f64 t) t))) t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) t) #s(literal 1 binary64)) t))) |
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (log.f64 t))))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (fma.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) t (neg.f64 t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))) t) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) t) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
11 calls:
| 38.0ms | y |
| 36.0ms | (log.f64 (+.f64 x y)) |
| 29.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 27.0ms | x |
| 24.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 3 | x |
| 85.6% | 2 | y |
| 86.1% | 2 | z |
| 98.8% | 2 | t |
| 88.7% | 3 | a |
| 98.5% | 2 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 95.1% | 3 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 85.6% | 2 | (log.f64 (+.f64 x y)) |
| 85.6% | 2 | (+.f64 x y) |
| 86.1% | 2 | (log.f64 z) |
| 88.3% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 40 to 75 computations (-87.5% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64)))))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t)))) |
#s(approx (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (*.f64 (neg.f64 a) (/.f64 (log.f64 t) t))) t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) t) #s(literal 1 binary64)) t))) |
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (log.f64 t))))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (fma.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) t (neg.f64 t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))) t) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) t) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t)) |
| Outputs |
|---|
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
3 calls:
| 24.0ms | t |
| 20.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 20.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 3 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 94.8% | 3 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 89.6% | 2 | t |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64)))))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t)) |
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
1 calls:
| 36.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 3 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
Compiled 7 to 9 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64)))))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t)) |
| Outputs |
|---|
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
2 calls:
| 16.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 10.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 3 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 75.2% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64)))))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
10 calls:
| 14.0ms | z |
| 12.0ms | (log.f64 (+.f64 x y)) |
| 11.0ms | x |
| 11.0ms | t |
| 10.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 1 | x |
| 75.2% | 1 | y |
| 75.2% | 1 | (log.f64 (+.f64 x y)) |
| 75.2% | 1 | (+.f64 x y) |
| 75.2% | 1 | z |
| 75.2% | 1 | (log.f64 z) |
| 75.2% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 75.2% | 1 | a |
| 75.2% | 1 | t |
| 75.2% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
Compiled 33 to 66 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) |
11 calls:
| 37.0ms | z |
| 31.0ms | (log.f64 (+.f64 x y)) |
| 6.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 6.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 6.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.3% | 3 | y |
| 62.4% | 3 | a |
| 46.7% | 5 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 44.3% | 3 | (log.f64 (+.f64 x y)) |
| 44.3% | 3 | (+.f64 x y) |
| 62.4% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
| 44.5% | 3 | x |
| 55.5% | 2 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 45.8% | 3 | z |
| 60.8% | 2 | t |
| 45.8% | 3 | (log.f64 z) |
Compiled 40 to 75 computations (-87.5% saved)
Total -18.6b remaining (-47.4%)
Threshold costs -18.6b (-47.4%)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
11 calls:
| 26.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| 9.0ms | y |
| 8.0ms | (log.f64 z) |
| 7.0ms | (+.f64 x y) |
| 6.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.6% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 38.6% | 1 | y |
| 38.6% | 1 | (log.f64 (+.f64 x y)) |
| 38.6% | 1 | (+.f64 x y) |
| 38.6% | 1 | x |
| 38.6% | 1 | z |
| 38.6% | 1 | (log.f64 z) |
| 38.6% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 38.6% | 1 | t |
| 38.6% | 1 | a |
| 38.6% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 40 to 75 computations (-87.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.33264010675999245 | 162.05382107725882 |
| 12.0ms | 128× | 0 | valid |
Compiled 211 to 247 computations (-17.1% saved)
ival-log: 4.0ms (49.8% of total)ival-add: 2.0ms (24.9% of total)ival-sub: 1.0ms (12.5% of total)ival-mult: 1.0ms (12.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 707.0532711004348 | 717.0431089525507 |
| 0.0ms | -579.415387102447 | -576.65265061248 |
Compiled 19 to 23 computations (-21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 707.0532711004348 | 717.0431089525507 |
| 0.0ms | -579.415387102447 | -576.65265061248 |
Compiled 19 to 23 computations (-21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 941.4178741905461 | 1117.2602444338474 |
| 0.0ms | -25377350655970628000.0 | -118988655.5974042 |
Compiled 19 to 23 computations (-21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.459026303108273e+73 | 1.0072157557624174e+81 |
| 0.0ms | -6.40537136173715e+79 | -3.0488262246081118e+69 |
Compiled 19 to 23 computations (-21.1% saved)
| 1× | egg-herbie |
| 32× | +-commutative-binary64-+.f64 |
| 16× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 12× | *-commutative-binary64-*.f64 |
| 4× | neg-sub0-binary64--.f64-neg.f64 |
| 4× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 600 |
| 1 | 130 | 600 |
| 2 | 140 | 600 |
| 3 | 143 | 600 |
| 4 | 144 | 600 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)) |
(if (<=.f64 t #s(literal 140 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -578 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 710 binary64)) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -578 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 710 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))))) |
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -20000000000000000000 binary64)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 1000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
| Outputs |
|---|
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)) t)) |
(if (<=.f64 t #s(literal 140 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -578 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 710 binary64)) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))))) |
(if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal -578 binary64)) (+.f64 (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t))) (if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal 710 binary64)) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 y x) z))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -578 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 710 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))))) |
(if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal -578 binary64)) (+.f64 (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t))) (if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal 710 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))))) |
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -20000000000000000000 binary64)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 1000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))))) |
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal -20000000000000000000 binary64)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal 1000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) |
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))))) |
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
| 16 372× | lower-fma.f64 |
| 16 372× | lower-fma.f32 |
| 6 418× | lower-fma.f64 |
| 6 418× | lower-fma.f32 |
| 6 198× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 332 |
| 0 | 95 | 279 |
| 1 | 417 | 275 |
| 2 | 3432 | 275 |
| 0 | 8415 | 271 |
| 0 | 15 | 44 |
| 0 | 24 | 41 |
| 1 | 102 | 41 |
| 2 | 837 | 41 |
| 0 | 8280 | 40 |
| 0 | 1475 | 21139 |
| 1 | 4336 | 20208 |
| 0 | 8211 | 19363 |
| 0 | 2345 | 34244 |
| 1 | 7776 | 34244 |
| 0 | 8010 | 32712 |
| 0 | 382 | 3187 |
| 1 | 1101 | 3021 |
| 2 | 3506 | 2976 |
| 0 | 8312 | 2824 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 884 to 491 computations (44.5% saved)
(sort x y)
Compiled 850 to 366 computations (56.9% saved)
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