
Time bar (total: 13.3s)
| 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)
| 1.4s | 8 256× | 0 | valid |
| 356.0ms | 2 144× | 0 | invalid |
ival-log: 545.0ms (49.8% of total)ival-add: 255.0ms (23.3% of total)ival-sub: 145.0ms (13.2% of total)ival-mult: 129.0ms (11.8% of total)ival-true: 9.0ms (0.8% of total)exact: 7.0ms (0.6% of total)ival-assert: 5.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 3 | 0 | - | 2 | (4.456661674096675e+160 4.118023105325121e+282 1.0061859646204132e-274 5.1250268858924565e-182 5.602978147203776e-8) | (+.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 | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 4 | 251 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 60.0ms | 512× | 0 | valid |
Compiled 136 to 49 computations (64% saved)
ival-log: 18.0ms (49.3% of total)ival-add: 9.0ms (24.6% of total)ival-sub: 5.0ms (13.7% of total)ival-mult: 3.0ms (8.2% of total)ival-true: 1.0ms (2.7% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 |
|---|---|---|
| ▶ | 99.6% | (+.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))) |
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 | 0.00390625 | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) | |
| accuracy | 0.12890625 | (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) | |
| accuracy | 0.13110250946961358 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| accuracy | 0.4742124019396077 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 79.0ms | 256× | 0 | valid |
Compiled 60 to 17 computations (71.7% saved)
ival-sub: 53.0ms (78.2% of total)ival-log: 9.0ms (13.3% of total)ival-add: 4.0ms (5.9% of total)ival-mult: 2.0ms (3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.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>) () ()) |
| 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>) () ())) ()) |
#s(alt (+ (log z) (log (+ x y))) (taylor 0 t) (#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>) () ())) ()) |
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#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 | |
|---|---|---|---|---|
| 45.0ms | 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))) |
| 43.0ms | 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))) |
| 32.0ms | 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))) |
| 24.0ms | 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))) |
| 17.0ms | a | @ | 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))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 381 | 3139 |
| 1 | 1098 | 2980 |
| 2 | 3509 | 2941 |
| 0 | 8106 | 2791 |
| 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)) |
(* -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 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 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 (-.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) |
(* 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) |
(* 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) |
(* 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)) |
(* -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)) |
(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)) |
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t)) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 a #s(literal 1/2 binary64)) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z))) t) t (neg.f64 t)) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 a #s(literal 1/2 binary64)) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z))) t) t (neg.f64 t)) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 a #s(literal 1/2 binary64)) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z))) t) t (neg.f64 t)) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t) t (neg.f64 t)) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t) t (neg.f64 t)) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t) t (neg.f64 t)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 a #s(literal 1/2 binary64))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 a #s(literal 1/2 binary64))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 a #s(literal 1/2 binary64))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
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(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
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(- (+ (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) |
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(- (+ (log y) (log z)) t) |
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(- (+ (log y) (+ (log z) (/ x y))) t) |
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(+ (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))))) |
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(+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
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(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) |
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(- (+ (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) |
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(- (+ (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) |
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(+.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))))) |
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(* -1 (log (/ 1 x))) |
(log.f64 x) |
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(+.f64 (/.f64 y x) (log.f64 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) |
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(- (+ (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) |
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(+ (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))) |
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(+.f64 (-.f64 (+.f64 (/.f64 y x) (log.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) |
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(-.f64 (+.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (neg.f64 y)) 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))))) |
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(+ (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))) |
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(+ (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 42 |
| 0 | 24 | 39 |
| 1 | 102 | 39 |
| 2 | 837 | 39 |
| 0 | 8280 | 38 |
| 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)) |
| Outputs |
|---|
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Compiled 19 213 to 1 684 computations (91.2% saved)
23 alts after pruning (23 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 524 | 23 | 547 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 525 | 23 | 548 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.9% | (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
| 74.6% | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) | |
| ▶ | 58.1% | (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)) |
| 54.3% | (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)))) | |
| 60.3% | (fma.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) | |
| 42.0% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (-.f64 a #s(literal -1/2 binary64)) (*.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 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.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 a #s(literal -1/2 binary64)))) | |
| 57.8% | (/.f64 (fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (*.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) | |
| 45.2% | (/.f64 (fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 a #s(literal -1/2 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)))) (*.f64 (-.f64 a #s(literal -1/2 binary64)) (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))))) | |
| 37.6% | (/.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))) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))) | |
| ▶ | 74.5% | (/.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)))) |
| 74.6% | (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) | |
| ▶ | 99.6% | (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) |
| 77.9% | (+.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (-.f64 (-.f64 (log.f64 z) t) (log.f64 (+.f64 y x)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 74.5% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 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))))) | |
| 61.3% | (+.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)))) | |
| 73.7% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 37.5% | (*.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)))))))) | |
| 61.3% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) | |
| 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)) | |
| 86.6% | #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)) | |
| 38.9% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) | |
| ▶ | 33.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
Compiled 1 176 to 808 computations (31.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (log.f64 z) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) | |
| cost-diff | 128 | (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) | |
| cost-diff | 14272 | (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | (log.f64 t) | |
| cost-diff | 0 | (fma.f64 a a #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) | |
| cost-diff | 6080 | (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)) | |
| 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 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 z) t)) | |
| cost-diff | 0 | (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 315 |
| 0 | 79 | 300 |
| 1 | 141 | 299 |
| 2 | 260 | 298 |
| 3 | 729 | 298 |
| 4 | 2013 | 298 |
| 5 | 4784 | 298 |
| 6 | 7427 | 298 |
| 0 | 8110 | 296 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) |
(log.f64 t) |
t |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(-.f64 (log.f64 z) t) |
(log.f64 z) |
z |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#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 |
(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)) |
(*.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) |
t |
(pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(-.f64 a #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal -1 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 |
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) |
(pow.f64 (log.f64 z) #s(literal 2 binary64)) |
(log.f64 z) |
z |
#s(literal 2 binary64) |
(*.f64 t t) |
t |
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) |
#s(literal 1 binary64) |
(+.f64 (log.f64 z) t) |
(+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(*.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) |
| Outputs |
|---|
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (+.f64 x y)) (-.f64 t (log.f64 z)))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 z) t)) |
(log.f64 t) |
t |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(-.f64 (log.f64 z) t) |
(log.f64 z) |
z |
(log.f64 (+.f64 y x)) |
(log.f64 (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#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 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) 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 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) 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 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.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 z (+.f64 y x))) t) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) |
(log.f64 (*.f64 z (+.f64 y x))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 x y) z) |
z |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(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 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (-.f64 a #s(literal -1/2 binary64))) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(*.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) |
t |
(pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(-.f64 a #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) |
(log.f64 (*.f64 z (+.f64 y x))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 x y) z) |
z |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (+.f64 x y)) (-.f64 t (log.f64 z)))) |
(-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) |
(fma.f64 (neg.f64 t) t (pow.f64 (log.f64 z) #s(literal 2 binary64))) |
(pow.f64 (log.f64 z) #s(literal 2 binary64)) |
(log.f64 z) |
z |
#s(literal 2 binary64) |
(*.f64 t t) |
t |
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) |
#s(literal 1 binary64) |
(+.f64 (log.f64 z) t) |
(+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 x y))) |
(log.f64 (+.f64 y x)) |
(log.f64 (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(*.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) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15234375 | (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) | |
| accuracy | 0.22647374970117154 | (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) | |
| accuracy | 0.4668350586106521 | (pow.f64 (log.f64 z) #s(literal 2 binary64)) | |
| accuracy | 14.029737326090281 | (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) | |
| accuracy | 0.01171875 | (*.f64 z (+.f64 y x)) | |
| accuracy | 0.12890625 | (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) | |
| accuracy | 13.90384329121165 | (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)) | |
| accuracy | 16.17946694471192 | (log.f64 (*.f64 z (+.f64 y x))) | |
| accuracy | 0.20370001923805556 | (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) | |
| accuracy | 0.265625 | (/.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 | 0.3984375218321243 | (/.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 | 16.17946694471192 | (log.f64 (*.f64 z (+.f64 y x))) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 42.48567833142953 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) | |
| accuracy | 0 | (log.f64 t) | |
| accuracy | 0.01171875 | (-.f64 (log.f64 z) t) | |
| accuracy | 0.17010136178468913 | (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) | |
| accuracy | 0.22442583341588407 | (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) |
| 131.0ms | 256× | 0 | valid |
Compiled 324 to 50 computations (84.6% saved)
ival-mult: 48.0ms (49.1% of total)ival-log: 15.0ms (15.3% of total)ival-add: 13.0ms (13.3% of total)ival-sub: 7.0ms (7.2% of total)ival-div: 5.0ms (5.1% of total)ival-pow2: 5.0ms (5.1% of total)ival-pow: 3.0ms (3.1% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) (patch (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) #<representation binary64>) () ()) |
#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ()) |
#s(alt (-.f64 a #s(literal 1/2 binary64)) (patch (-.f64 a #s(literal 1/2 binary64)) #<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 (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)) (patch (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)) #<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>) () ()) |
#s(alt (fma.f64 a a #s(literal -1/4 binary64)) (patch (fma.f64 a a #s(literal -1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (patch (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (patch (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (patch (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 z) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 z) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (log.f64 z) t) (patch (-.f64 (log.f64 z) 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 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (patch (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) (patch (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) (patch (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) (patch (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) (patch (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (* -1/2 (log t))) t) (taylor 0 a) (#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) #<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))) (neg.f64 t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 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))) (neg.f64 t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 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))) (neg.f64 t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 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))) (neg.f64 t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (taylor 0 a) (#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 (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#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 (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#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 (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#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 (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)) (taylor 0 a) (#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 (+ (* -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))) (taylor 0 a) (#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 (+ (* 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))) (taylor 0 a) (#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 (+ (* 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))) (taylor 0 a) (#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 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (taylor 0 a) (#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 (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#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 (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#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 (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#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 (* z (+ x y))) (* -1/2 (log t))) t) (taylor 0 a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
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15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 60.0ms | z | @ | -inf | ((+ (+ (* (log t) (- a 1/2)) (- (log z) t)) (log (+ y x))) (+ (* (log t) (- a 1/2)) (- (log z) t)) (log t) (- a 1/2) (+ (- (+ (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)) (+ (* (* (+ (* a a) -1/4) (log t)) (pow (- a -1/2) -1)) (- (log (* z (+ y x))) t)) (* (+ (* a a) -1/4) (log t)) (+ (* a a) -1/4) (+ (* (- (pow (log z) 2) (* t t)) (/ 1 (+ (log z) t))) (+ (log (+ y x)) (* (log t) (- a 1/2)))) (+ (log (+ y x)) (* (log t) (- a 1/2))) (- (pow (log z) 2) (* t t)) (pow (log z) 2) (- (log z) t) (log (* z (+ y x))) (* z (+ y x)) (/ 1 (+ (log z) t))) |
| 36.0ms | z | @ | inf | ((+ (+ (* (log t) (- a 1/2)) (- (log z) t)) (log (+ y x))) (+ (* (log t) (- a 1/2)) (- (log z) t)) (log t) (- a 1/2) (+ (- (+ (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)) (+ (* (* (+ (* a a) -1/4) (log t)) (pow (- a -1/2) -1)) (- (log (* z (+ y x))) t)) (* (+ (* a a) -1/4) (log t)) (+ (* a a) -1/4) (+ (* (- (pow (log z) 2) (* t t)) (/ 1 (+ (log z) t))) (+ (log (+ y x)) (* (log t) (- a 1/2)))) (+ (log (+ y x)) (* (log t) (- a 1/2))) (- (pow (log z) 2) (* t t)) (pow (log z) 2) (- (log z) t) (log (* z (+ y x))) (* z (+ y x)) (/ 1 (+ (log z) t))) |
| 35.0ms | z | @ | 0 | ((+ (+ (* (log t) (- a 1/2)) (- (log z) t)) (log (+ y x))) (+ (* (log t) (- a 1/2)) (- (log z) t)) (log t) (- a 1/2) (+ (- (+ (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)) (+ (* (* (+ (* a a) -1/4) (log t)) (pow (- a -1/2) -1)) (- (log (* z (+ y x))) t)) (* (+ (* a a) -1/4) (log t)) (+ (* a a) -1/4) (+ (* (- (pow (log z) 2) (* t t)) (/ 1 (+ (log z) t))) (+ (log (+ y x)) (* (log t) (- a 1/2)))) (+ (log (+ y x)) (* (log t) (- a 1/2))) (- (pow (log z) 2) (* t t)) (pow (log z) 2) (- (log z) t) (log (* z (+ y x))) (* z (+ y x)) (/ 1 (+ (log z) t))) |
| 22.0ms | t | @ | -inf | ((+ (+ (* (log t) (- a 1/2)) (- (log z) t)) (log (+ y x))) (+ (* (log t) (- a 1/2)) (- (log z) t)) (log t) (- a 1/2) (+ (- (+ (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)) (+ (* (* (+ (* a a) -1/4) (log t)) (pow (- a -1/2) -1)) (- (log (* z (+ y x))) t)) (* (+ (* a a) -1/4) (log t)) (+ (* a a) -1/4) (+ (* (- (pow (log z) 2) (* t t)) (/ 1 (+ (log z) t))) (+ (log (+ y x)) (* (log t) (- a 1/2)))) (+ (log (+ y x)) (* (log t) (- a 1/2))) (- (pow (log z) 2) (* t t)) (pow (log z) 2) (- (log z) t) (log (* z (+ y x))) (* z (+ y x)) (/ 1 (+ (log z) t))) |
| 22.0ms | t | @ | inf | ((+ (+ (* (log t) (- a 1/2)) (- (log z) t)) (log (+ y x))) (+ (* (log t) (- a 1/2)) (- (log z) t)) (log t) (- a 1/2) (+ (- (+ (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)) (+ (* (* (+ (* a a) -1/4) (log t)) (pow (- a -1/2) -1)) (- (log (* z (+ y x))) t)) (* (+ (* a a) -1/4) (log t)) (+ (* a a) -1/4) (+ (* (- (pow (log z) 2) (* t t)) (/ 1 (+ (log z) t))) (+ (log (+ y x)) (* (log t) (- a 1/2)))) (+ (log (+ y x)) (* (log t) (- a 1/2))) (- (pow (log z) 2) (* t t)) (pow (log z) 2) (- (log z) t) (log (* z (+ y x))) (* z (+ y x)) (/ 1 (+ (log z) t))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1173 | 15520 |
| 1 | 3538 | 14903 |
| 0 | 8607 | 14216 |
| 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) |
(- (+ (log z) (* -1/2 (log t))) t) |
(- (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log z) (+ (* -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 (+ 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))) |
(- (+ (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) |
(* -1/4 (log t)) |
(+ (* -1/4 (log t)) (* (pow a 2) (log t))) |
(+ (* -1/4 (log t)) (* (pow a 2) (log t))) |
(+ (* -1/4 (log t)) (* (pow a 2) (log t))) |
-1/4 |
(- (pow a 2) 1/4) |
(- (pow a 2) 1/4) |
(- (pow a 2) 1/4) |
(- (+ (log (+ x y)) (+ (* -1/2 (log t)) (/ (pow (log z) 2) (+ t (log z))))) (/ (pow t 2) (+ t (log z)))) |
(- (+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z)))) |
(- (+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z)))) |
(- (+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z)))) |
(+ (log (+ x y)) (* -1/2 (log t))) |
(+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t)))) |
(+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t)))) |
(+ (log (+ x y)) (+ (* -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)) (/ (log z) a))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log z) a))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log z) 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 (+ 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) |
(* 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)))) |
(* (pow a 2) (log t)) |
(* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 1/4 (/ 1 (pow a 2))))) |
(* (pow a 2) (- 1 (* 1/4 (/ 1 (pow a 2))))) |
(* (pow a 2) (- 1 (* 1/4 (/ 1 (pow a 2))))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log (+ x y)) a) (/ (pow (log z) 2) (* a (+ t (log z))))))) (/ (pow t 2) (* a (+ t (log z)))))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log (+ x y)) a) (/ (pow (log z) 2) (* a (+ t (log z))))))) (/ (pow t 2) (* a (+ t (log z)))))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log (+ x y)) a) (/ (pow (log z) 2) (* a (+ t (log z))))))) (/ (pow t 2) (* a (+ t (log z)))))) |
(* a (log t)) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (+ x y)) a)))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (+ x y)) a)))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (+ x y)) 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) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (* -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 (+ 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)) |
(* 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))))) |
(* (pow a 2) (log t)) |
(* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 1/4 (/ 1 (pow a 2))))) |
(* (pow a 2) (- 1 (* 1/4 (/ 1 (pow a 2))))) |
(* (pow a 2) (- 1 (* 1/4 (/ 1 (pow a 2))))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (+ x y)) (+ (* -1/2 (log t)) (/ (pow (log z) 2) (+ t (log z))))) (/ (pow t 2) (+ t (log z)))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (+ x y)) (+ (* -1/2 (log t)) (/ (pow (log z) 2) (+ t (log z))))) (/ (pow t 2) (+ t (log z)))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (+ x y)) (+ (* -1/2 (log t)) (/ (pow (log z) 2) (+ t (log z))))) (/ (pow t 2) (+ t (log z)))) a))))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (* -1/2 (log t))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (* -1/2 (log t))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (* -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 t) (- a 1/2))) |
(+ (log z) (+ (* -1 t) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* -1 t) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* -1 t) (* (log t) (- a 1/2)))) |
(log t) |
(log t) |
(log t) |
(log 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 t) |
(* -1 t) |
(* -1 t) |
(* -1 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)))) |
(/ 1 (+ (log (* z (+ x y))) (* (log t) (- a 1/2)))) |
(+ (/ 1 (+ (log (* z (+ x y))) (* (log t) (- a 1/2)))) (/ t (pow (+ (log (* z (+ x y))) (* (log t) (- a 1/2))) 2))) |
(+ (* t (+ (/ 1 (pow (+ (log (* z (+ x y))) (* (log t) (- a 1/2))) 2)) (/ t (pow (+ (log (* z (+ x y))) (* (log t) (- a 1/2))) 3)))) (/ 1 (+ (log (* z (+ x y))) (* (log t) (- a 1/2))))) |
(+ (* t (+ (* t (+ (/ 1 (pow (+ (log (* z (+ x y))) (* (log t) (- a 1/2))) 3)) (/ t (pow (+ (log (* z (+ x y))) (* (log t) (- a 1/2))) 4)))) (/ 1 (pow (+ (log (* z (+ x y))) (* (log t) (- a 1/2))) 2)))) (/ 1 (+ (log (* z (+ x y))) (* (log t) (- a 1/2))))) |
(+ (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 t) (- (pow a 2) 1/4)) |
(* (log t) (- (pow a 2) 1/4)) |
(* (log t) (- (pow a 2) 1/4)) |
(* (log t) (- (pow a 2) 1/4)) |
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
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(- (+ (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 z)) (* (log t) (- a 1/2))) t) |
(- (+ (log (* y z)) (+ (* (log t) (- a 1/2)) (/ x y))) t) |
(- (+ (log (* y z)) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2)))) t) |
(- (+ (log (* y z)) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2)))) t) |
(/ 1 (- (+ (log (* y z)) (* (log t) (- a 1/2))) t)) |
(+ (* -1 (/ x (* y (pow (- (+ (log (* y z)) (* (log t) (- a 1/2))) t) 2)))) (/ 1 (- (+ (log (* y z)) (* (log t) (- a 1/2))) t))) |
(+ (* x (- (* x (+ (* 1/2 (/ 1 (* (pow y 2) (pow (- (+ (log (* y z)) (* (log t) (- a 1/2))) t) 2)))) (/ 1 (* (pow y 2) (pow (- (+ (log (* y z)) (* (log t) (- a 1/2))) t) 3))))) (/ 1 (* y (pow (- (+ (log (* y z)) (* (log t) (- a 1/2))) t) 2))))) (/ 1 (- (+ (log (* y z)) (* (log t) (- a 1/2))) t))) |
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/3 (/ 1 (* (pow y 3) (pow (- (+ (log (* y z)) (* (log t) (- a 1/2))) t) 2)))) (+ (/ 1 (* (pow y 3) (pow (- (+ (log (* y z)) (* (log t) (- a 1/2))) t) 3))) (/ 1 (* (pow y 3) (pow (- (+ (log (* y z)) (* (log t) (- a 1/2))) t) 4))))))) (+ (* 1/2 (/ 1 (* (pow y 2) (pow (- (+ (log (* y z)) (* (log t) (- a 1/2))) t) 2)))) (/ 1 (* (pow y 2) (pow (- (+ (log (* y z)) (* (log t) (- a 1/2))) t) 3)))))) (/ 1 (* y (pow (- (+ (log (* y z)) (* (log t) (- a 1/2))) t) 2))))) (/ 1 (- (+ (log (* y z)) (* (log t) (- a 1/2))) t))) |
(- (+ (log (* y z)) (* (log t) (- a 1/2))) t) |
(- (+ (log (* y z)) (+ (* (log t) (- a 1/2)) (/ x y))) t) |
(- (+ (log (* y z)) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2)))) t) |
(- (+ (log (* y 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 z)) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))) t) |
(- (+ (log (* y z)) (+ (/ x y) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log (* y z)) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log (* y z)) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log y) (+ (* (log t) (- a 1/2)) (/ (pow (log z) 2) (+ t (log z))))) (/ (pow t 2) (+ t (log z)))) |
(- (+ (log y) (+ (* (log t) (- a 1/2)) (+ (/ x y) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z)))) |
(- (+ (log y) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (+ (* (log t) (- a 1/2)) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z)))) |
(- (+ (log y) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (+ (* (log t) (- a 1/2)) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z)))) |
(+ (log y) (* (log t) (- a 1/2))) |
(+ (log y) (+ (* (log t) (- a 1/2)) (/ x y))) |
(+ (log y) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2)))) |
(+ (log y) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2)))) |
(log (* y z)) |
(+ (log (* y z)) (/ x y)) |
(+ (log (* y z)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(+ (log (* y z)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(* y z) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(- (+ (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) |
(/ 1 (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t)) |
(+ (* -1 (/ y (* x (pow (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) 2)))) (/ 1 (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t))) |
(- (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (pow (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) 3))) (* -1/2 (/ (pow y 2) (pow (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) 2)))) (pow x 2))) (/ 1 (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t))) (/ y (* x (pow (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* y (+ (* -1 (/ (pow y 2) (pow (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) 3))) (* -1/2 (/ (pow y 2) (pow (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) 2))))) (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t))) (+ (* 1/3 (/ (pow y 3) (pow (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) 2))) (* 1/2 (/ (pow y 3) (pow (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) 3))))) (pow x 3))) (/ 1 (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t))) (+ (* -1 (/ (pow y 2) (* (pow x 2) (pow (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) 3)))) (+ (* -1/2 (/ (pow y 2) (* (pow x 2) (pow (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) 2)))) (/ y (* x (pow (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) 2)))))) |
(- (+ (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) (- (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) |
(- (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ (pow (log z) 2) (+ t (log z))))) (/ (pow t 2) (+ t (log z)))) |
(- (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (+ (/ y x) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z)))) |
(- (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (+ (/ y x) (/ (pow (log z) 2) (+ t (log z))))))) (/ (pow t 2) (+ 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) (/ (pow (log z) 2) (+ t (log z)))))))) (/ (pow t 2) (+ t (log z)))) |
(+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2))) |
(+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x)))) |
(+ (* -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))))) |
(+ (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))))) |
(* x z) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) 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))) (* (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) |
(/ 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))) |
(- (+ (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 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) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z)))) |
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (+ (/ y x) (/ (pow (log z) 2) (+ t (log z))))))) (/ (pow t 2) (+ t (log z)))) |
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (+ (* (log t) (- a 1/2)) (/ (pow (log z) 2) (+ t (log z))))))) (/ (pow t 2) (+ t (log z)))) |
(- (+ (log -1) (+ (* -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)) (/ (pow (log z) 2) (+ t (log z))))))) (/ (pow t 2) (+ t (log z)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2))))) |
(+ (log -1) (+ (* -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))))) |
(+ (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))))) |
| 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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (* -1/2 (log t))) t) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) |
(- (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (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 (-.f64 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) |
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(-.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.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)) x)) |
(* x z) |
(*.f64 x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (neg.f64 (fma.f64 y (/.f64 z x) z)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (neg.f64 (fma.f64 y (/.f64 z x) z)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (neg.f64 (fma.f64 y (/.f64 z x) z)) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 201 |
| 0 | 79 | 180 |
| 1 | 388 | 175 |
| 2 | 2974 | 175 |
| 0 | 8668 | 174 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) |
(log.f64 t) |
(-.f64 a #s(literal 1/2 binary64)) |
#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)) |
(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)) |
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) |
(fma.f64 a a #s(literal -1/4 binary64)) |
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) |
(-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) |
(pow.f64 (log.f64 z) #s(literal 2 binary64)) |
(-.f64 (log.f64 z) t) |
(log.f64 (*.f64 z (+.f64 y x))) |
(*.f64 z (+.f64 y x)) |
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) |
| Outputs |
|---|
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Compiled 97 655 to 4 858 computations (95% saved)
34 alts after pruning (33 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 765 | 25 | 2 790 |
| Fresh | 10 | 8 | 18 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 779 | 34 | 2 813 |
| Status | Accuracy | Program |
|---|---|---|
| 58.2% | (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)) | |
| 58.0% | (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 #s(approx (* z (+ y x)) (*.f64 y z))) t)) | |
| 58.2% | (fma.f64 (*.f64 (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 a a #s(literal -1/4 binary64))) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| 54.3% | (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)))) | |
| 60.3% | (fma.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) | |
| 67.5% | (fma.f64 #s(approx (- (pow (log z) 2) (* t t)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) | |
| 33.2% | (pow.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 57.8% | (/.f64 (fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (*.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) | |
| 74.4% | (/.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 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) | |
| 99.1% | (/.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))) (+.f64 (log.f64 y) (log.f64 z))) t)))) | |
| 47.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) t)))) | |
| 74.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))))) | |
| 38.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 a (log.f64 t))))) | |
| 31.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.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)))) | |
| 33.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t))) | |
| 74.6% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))) | |
| 78.1% | (+.f64 (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 z) t)) (log.f64 (+.f64 y x))) | |
| 74.3% | (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) | |
| 67.3% | (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (log.f64 z))) (log.f64 (+.f64 y x))) | |
| 74.5% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| ▶ | 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))))) |
| 61.3% | (+.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)))) | |
| 73.7% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 42.3% | (+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (*.f64 a (log.f64 t))) (log.f64 (+.f64 y x))) | |
| 37.6% | (+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) | |
| ▶ | 53.8% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
| 74.5% | #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)) | |
| 64.2% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) | |
| ▶ | 65.6% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a)) |
| 38.9% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 a (log.f64 t))) | |
| 86.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (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))) | |
| ▶ | 14.8% | #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))) |
| ▶ | 61.3% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) |
| ✓ | 33.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
Compiled 1 243 to 1 063 computations (14.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a)) | |
| cost-diff | 512 | (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a))) | |
| cost-diff | 8320 | (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a) | |
| cost-diff | 0 | (log.f64 t) | |
| cost-diff | 0 | (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) | |
| cost-diff | 0 | (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) | |
| 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) (log.f64 (*.f64 (+.f64 y x) z))) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) | |
| 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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 397 |
| 0 | 91 | 385 |
| 1 | 163 | 375 |
| 2 | 363 | 369 |
| 3 | 836 | 369 |
| 4 | 2063 | 361 |
| 5 | 4473 | 351 |
| 6 | 7670 | 351 |
| 0 | 8229 | 346 |
| 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) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
t |
(log.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) z) |
(+.f64 y x) |
y |
x |
z |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) |
(log.f64 t) |
t |
#s(literal -1/2 binary64) |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(-.f64 t (log.f64 z)) |
(log.f64 z) |
z |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a)) |
(*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a) |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) |
(/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) |
(log.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) z) |
(+.f64 y x) |
y |
x |
z |
a |
(-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a))) |
(log.f64 t) |
t |
(fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)) |
(/.f64 (log.f64 t) a) |
#s(literal 1/2 binary64) |
(/.f64 t a) |
| 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) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
t |
(log.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) z) |
(+.f64 y x) |
y |
x |
z |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))))) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 (+.f64 y x))) |
(log.f64 t) |
t |
#s(literal -1/2 binary64) |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(-.f64 t (log.f64 z)) |
(log.f64 z) |
z |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a)) |
#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 (+.f64 y x) z))) t)) |
(*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a) |
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) (-.f64 (log.f64 t) (/.f64 t a))) |
(/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) |
(log.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) z) |
(+.f64 y x) |
y |
x |
z |
a |
(-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 #s(literal 1/2 binary64) (log.f64 t) t) (log.f64 t)) |
(log.f64 t) |
t |
(fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)) |
(/.f64 (log.f64 t) a) |
#s(literal 1/2 binary64) |
(/.f64 t a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23046875 | (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) | |
| accuracy | 0.23046875 | (/.f64 (log.f64 t) a) | |
| accuracy | 7.9290868872324145 | (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a) | |
| accuracy | 16.17946694471192 | (log.f64 (*.f64 (+.f64 y x) z)) | |
| accuracy | 0.01171875 | (-.f64 t (log.f64 z)) | |
| accuracy | 0.37158001893922715 | (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) | |
| accuracy | 0.3913463061510965 | (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) | |
| accuracy | 24.590640276176863 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 y x) z) | |
| accuracy | 0.32213623846050476 | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) | |
| accuracy | 16.17946694471192 | (log.f64 (*.f64 (+.f64 y x) z)) | |
| accuracy | 20.69215357997618 | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) | |
| accuracy | 0 | (*.f64 (neg.f64 t) t) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 30.276941971883527 | (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)) | |
| accuracy | 42.48567833142953 | #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 | 0.0078125 | (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))) | |
| accuracy | 0.13110250946961358 | (+.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 | 0.1875 | (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) | |
| accuracy | 0.4742124019396077 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 151.0ms | 256× | 0 | valid |
Compiled 346 to 51 computations (85.3% saved)
ival-log: 44.0ms (48.8% of total)ival-div: 13.0ms (14.4% of total)ival-add: 12.0ms (13.3% of total)ival-mult: 12.0ms (13.3% of total)ival-sub: 7.0ms (7.8% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% 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 #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) (patch #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) #<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) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) (patch (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (patch (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a) (patch (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a) #<representation binary64>) () ()) |
#s(alt (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a))) (patch (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a)) (patch #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) (patch (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) #<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 (log.f64 (*.f64 (+.f64 y x) z)) (patch (log.f64 (*.f64 (+.f64 y x) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 y x) z) (patch (*.f64 (+.f64 y x) z) #<representation binary64>) () ()) |
#s(alt (-.f64 t (log.f64 z)) (patch (-.f64 t (log.f64 z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 t) a) (patch (/.f64 (log.f64 t) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (patch (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #<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 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (taylor 0 a) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) (patch #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) (patch #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) (patch #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) (patch #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* z (+ x y))) (* -1/2 (log t))) (taylor 0 a) (#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) (taylor 0 a) (#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) (taylor 0 a) (#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) (taylor 0 a) (#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) #<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 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) #<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 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) #<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 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (log (* -1 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 #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a)) (patch #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (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) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a)) (patch #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (/ (log (* -1 z)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) (patch (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ y (* a x)) (/ (log (* -1 z)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) (patch (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* 1/2 (/ (pow y 2) (* a x)))) x)) (/ (log (* -1 z)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) (patch (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) a)) (* 1/3 (/ (pow y 3) (* a x)))) x))) x)) (/ (log (* -1 z)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) (patch (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (*.f64 (+.f64 y x) z)) (patch (log.f64 (*.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x))) (taylor -inf x) (#s(alt (log.f64 (*.f64 (+.f64 y x) z)) (patch (log.f64 (*.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (log.f64 (*.f64 (+.f64 y x) z)) (patch (log.f64 (*.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 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 (log.f64 (*.f64 (+.f64 y x) z)) (patch (log.f64 (*.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) z) (patch (*.f64 (+.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) z) (patch (*.f64 (+.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) z) (patch (*.f64 (+.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) z) (patch (*.f64 (+.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) a) (taylor -inf x) (#s(alt (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (patch (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ y (* a x)) (/ (log (* -1 z)) a))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (patch (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* 1/2 (/ (pow y 2) (* a x)))) x)) (/ (log (* -1 z)) a))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (patch (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) a)) (* 1/3 (/ (pow y 3) (* a x)))) x))) x)) (/ (log (* -1 z)) a))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (patch (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 122.0ms | 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) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (- a 1/2) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+ (* (log t) -1/2) (log (+ y x))) (* (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/ 1 (- a 1/2)) (neg t) (log (* (+ y x) z)) (* (+ y x) z) (- t (log z)) (/ (log t) a) (/ (log (* (+ y x) z)) a)) |
| 80.0ms | 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) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (- a 1/2) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+ (* (log t) -1/2) (log (+ y x))) (* (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/ 1 (- a 1/2)) (neg t) (log (* (+ y x) z)) (* (+ y x) z) (- t (log z)) (/ (log t) a) (/ (log (* (+ y x) z)) a)) |
| 75.0ms | 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) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (- a 1/2) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+ (* (log t) -1/2) (log (+ y x))) (* (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/ 1 (- a 1/2)) (neg t) (log (* (+ y x) z)) (* (+ y x) z) (- t (log z)) (/ (log t) a) (/ (log (* (+ y x) z)) a)) |
| 69.0ms | 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) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (- a 1/2) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+ (* (log t) -1/2) (log (+ y x))) (* (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/ 1 (- a 1/2)) (neg t) (log (* (+ y x) z)) (* (+ y x) z) (- t (log z)) (/ (log t) a) (/ (log (* (+ y x) z)) a)) |
| 68.0ms | t | @ | 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) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (- a 1/2) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+ (* (log t) -1/2) (log (+ y x))) (* (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/ 1 (- a 1/2)) (neg t) (log (* (+ y x) z)) (* (+ y x) z) (- t (log z)) (/ (log t) a) (/ (log (* (+ y x) z)) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 978 | 16503 |
| 1 | 2966 | 15779 |
| 2 | 7902 | 15343 |
| 0 | 8068 | 14733 |
| 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) |
(- (+ (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))) |
(+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) |
(+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) |
(+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log 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 (+ x y))) (+ t (* 1/2 (log t)))) |
(- (+ (log (* z (+ x y))) (* a (log t))) (+ t (* 1/2 (log t)))) |
(- (+ (log (* z (+ x y))) (* a (log t))) (+ t (* 1/2 (log t)))) |
(- (+ (log (* z (+ x y))) (* a (log t))) (+ t (* 1/2 (log t)))) |
(* -1 (/ (+ t (* 1/2 (log t))) a)) |
(/ (- (* a (log t)) (+ t (* 1/2 (log t)))) a) |
(/ (- (* a (log t)) (+ t (* 1/2 (log t)))) a) |
(/ (- (* a (log t)) (+ t (* 1/2 (log t)))) a) |
(- (+ (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))) (+ t (* 1/2 (log t)))) a) |
(/ (- (+ (log (* z (+ x y))) (* a (log t))) (+ t (* 1/2 (log t)))) a) |
(/ (- (+ (log (* z (+ x y))) (* a (log t))) (+ t (* 1/2 (log t)))) a) |
(/ (- (+ (log (* z (+ x y))) (* a (log t))) (+ t (* 1/2 (log t)))) a) |
-2 |
(- (* -4 a) 2) |
(- (* a (- (* -8 a) 4)) 2) |
(- (* a (- (* a (- (* -16 a) 8)) 4)) 2) |
(/ (log t) a) |
(/ (log t) a) |
(/ (log t) a) |
(/ (log t) a) |
(/ (log (* z (+ x y))) a) |
(/ (log (* z (+ x y))) a) |
(/ (log (* z (+ x y))) a) |
(/ (log (* z (+ x y))) 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)) |
(* 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))) |
(* 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 (+ x y))) a)))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a)))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) 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) (/ (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)))) |
(log t) |
(+ (log t) (* -1 (/ (+ t (* 1/2 (log t))) a))) |
(+ (log t) (* -1 (/ (+ t (* 1/2 (log t))) a))) |
(+ (log t) (* -1 (/ (+ 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))) |
(log t) |
(- (+ (log t) (/ (log (* z (+ x y))) a)) (+ (* 1/2 (/ (log t) a)) (/ t a))) |
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a |
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t |
t |
t |
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t |
t |
t |
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(- (+ (log z) (log (+ x y))) t) |
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(- (+ (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))) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))) t) |
(+ (* -1 (log (/ 1 x))) (* -1/2 (log t))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (/ y x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x)) |
(+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x))) |
(+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x)))) |
(- (+ (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 t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))) |
(- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (+ (/ y (* a x)) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))) |
(- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (+ (/ y (* a x)) (/ (log z) a))))) (+ (* 1/2 (/ (log t) a)) (/ t a))) |
(- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (+ (* 1/3 (/ (pow y 3) (* a (pow x 3)))) (+ (/ y (* a x)) (/ (log z) a)))))) (+ (* 1/2 (/ (log t) a)) (/ t a))) |
(+ (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))))) |
(* x z) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(/ (+ (log z) (* -1 (log (/ 1 x)))) a) |
(+ (* -1 (/ (log (/ 1 x)) a)) (+ (/ y (* a x)) (/ (log z) a))) |
(+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (+ (/ y (* a x)) (/ (log z) a)))) |
(+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (+ (* 1/3 (/ (pow y 3) (* a (pow x 3)))) (+ (/ y (* a x)) (/ (log z) a))))) |
(- (+ (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) (+ (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 t) (- a 1/2)))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2))))) |
(+ (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))))) |
(- (+ (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))) (* -1/2 (log t))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1/2 (log t)) (/ y x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* -1/2 (log t)))))) 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)) (* -1/2 (log t)))))) t) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1/2 (log t)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1/2 (log t)) (/ y x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* -1/2 (log t))))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* -1/2 (log t))))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (/ (log (* -1 z)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (/ (log (* -1 z)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x)) |
(+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (/ (log (* -1 z)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (/ (log (* -1 z)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(- (+ (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 t) (+ (* -1 (/ (log (/ -1 x)) a)) (/ (log (* -1 z)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))) |
(- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ y (* a x)) (/ (log (* -1 z)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))) |
(- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* 1/2 (/ (pow y 2) (* a x)))) x)) (/ (log (* -1 z)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))) |
(- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) a)) (* 1/3 (/ (pow y 3) (* a x)))) x))) x)) (/ (log (* -1 z)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))) |
(+ (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))))) |
(/ (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) a) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ y (* a x)) (/ (log (* -1 z)) a))) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* 1/2 (/ (pow y 2) (* a x)))) x)) (/ (log (* -1 z)) a))) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) a)) (* 1/3 (/ (pow y 3) (* a x)))) x))) x)) (/ (log (* -1 z)) a))) |
| Outputs |
|---|
(* -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)) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(+.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) (log.f64 (+.f64 y x))) |
(- (+ (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 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) (log.f64 (+.f64 y x))) |
(- (+ (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 (+ x y))) (* -1/2 (log t))) t) |
(-.f64 (log.f64 (*.f64 (+.f64 y x) z)) (fma.f64 #s(literal 1/2 binary64) (log.f64 t) 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))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) |
(+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) |
(+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) |
(+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) |
-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 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) (log.f64 (+.f64 y x))) |
(- (+ (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 (+ x y))) (+ t (* 1/2 (log t)))) |
(-.f64 (log.f64 (*.f64 (+.f64 y x) z)) (fma.f64 #s(literal 1/2 binary64) (log.f64 t) t)) |
(- (+ (log (* z (+ x y))) (* a (log t))) (+ t (* 1/2 (log 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))) (* a (log t))) (+ t (* 1/2 (log 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))) (* a (log t))) (+ t (* 1/2 (log t)))) |
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) |
(* -1 (/ (+ t (* 1/2 (log t))) a)) |
(/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a) |
(/ (- (* a (log t)) (+ t (* 1/2 (log t)))) a) |
(/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (neg.f64 t)) a) |
(/ (- (* a (log t)) (+ t (* 1/2 (log t)))) a) |
(/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (neg.f64 t)) a) |
(/ (- (* a (log t)) (+ t (* 1/2 (log t)))) a) |
(/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (neg.f64 t)) a) |
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) |
(-.f64 (log.f64 (*.f64 (+.f64 y x) z)) (fma.f64 #s(literal 1/2 binary64) (log.f64 t) 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))) (+ t (* 1/2 (log t)))) a) |
(/.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) (fma.f64 #s(literal 1/2 binary64) (log.f64 t) t)) a) |
(/ (- (+ (log (* z (+ x y))) (* a (log t))) (+ t (* 1/2 (log t)))) a) |
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) a) |
(/ (- (+ (log (* z (+ x y))) (* a (log t))) (+ t (* 1/2 (log t)))) a) |
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) a) |
(/ (- (+ (log (* z (+ x y))) (* a (log t))) (+ t (* 1/2 (log t)))) a) |
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) a) |
-2 |
#s(literal -2 binary64) |
(- (* -4 a) 2) |
(fma.f64 #s(literal -4 binary64) a #s(literal -2 binary64)) |
(- (* a (- (* -8 a) 4)) 2) |
(fma.f64 (fma.f64 #s(literal -8 binary64) a #s(literal -4 binary64)) a #s(literal -2 binary64)) |
(- (* a (- (* a (- (* -16 a) 8)) 4)) 2) |
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(- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) a)) (* 1/3 (/ (pow y 3) (* a x)))) x))) x)) (/ (log (* -1 z)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))) |
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) a) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) a) #s(literal 1/3 binary64) (*.f64 (*.f64 y (/.f64 y a)) #s(literal -1/2 binary64))) (neg.f64 x)) (/.f64 y a)) (neg.f64 x))) (log.f64 t)) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a)) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x))) |
(+.f64 (-.f64 (/.f64 y x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (neg.f64 y)) 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)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.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)) x)) |
(* x z) |
(*.f64 x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 y x) z)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 y x) z)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 y x) z)) (neg.f64 x)) |
(/ (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) a) |
(/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) a) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ y (* a x)) (/ (log (* -1 z)) a))) |
(+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) a) (/.f64 (/.f64 y x) a)) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* 1/2 (/ (pow y 2) (* a x)))) x)) (/ (log (* -1 z)) a))) |
(+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) a) (/.f64 (fma.f64 (*.f64 y (/.f64 (/.f64 y x) a)) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) a)) (neg.f64 x))) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) a)) (* 1/3 (/ (pow y 3) (* a x)))) x))) x)) (/ (log (* -1 z)) a))) |
(+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) a) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) a) #s(literal 1/3 binary64) (*.f64 (*.f64 y (/.f64 y a)) #s(literal -1/2 binary64))) (neg.f64 x)) (/.f64 y a)) (neg.f64 x))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 315 |
| 0 | 91 | 296 |
| 1 | 433 | 279 |
| 2 | 3847 | 276 |
| 0 | 9388 | 276 |
| 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) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) |
(-.f64 a #s(literal 1/2 binary64)) |
(log.f64 t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) |
(*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a) |
(-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) a)) |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) (-.f64 (log.f64 t) (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)))) |
(/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))) |
(neg.f64 t) |
(log.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) z) |
(-.f64 t (log.f64 z)) |
(/.f64 (log.f64 t) a) |
(/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) |
| Outputs |
|---|
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Compiled 56 451 to 5 591 computations (90.1% saved)
48 alts after pruning (47 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 125 | 27 | 2 152 |
| Fresh | 8 | 20 | 28 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 138 | 48 | 2 186 |
| Status | Accuracy | Program |
|---|---|---|
| 58.2% | (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)) | |
| 54.3% | (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)))) | |
| 60.3% | (fma.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) | |
| 67.5% | (fma.f64 #s(approx (- (pow (log z) 2) (* t t)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) | |
| 33.2% | (pow.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 57.8% | (/.f64 (fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (*.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) | |
| ▶ | 74.4% | (/.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 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) |
| 99.1% | (/.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))) (+.f64 (log.f64 y) (log.f64 z))) t)))) | |
| 47.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) t)))) | |
| 74.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))))) | |
| 38.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 a (log.f64 t))))) | |
| 31.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.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)))) | |
| 33.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t))) | |
| 74.3% | (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) | |
| 74.5% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 99.5% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 t) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) | |
| 99.5% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))) | |
| ▶ | 99.5% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
| 73.6% | (+.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))))) | |
| 73.7% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 42.3% | (+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (*.f64 a (log.f64 t))) (log.f64 (+.f64 y x))) | |
| 37.6% | (+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) | |
| 53.4% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 t)) (*.f64 #s(literal 2 binary64) (log.f64 t))) (log.f64 (*.f64 (+.f64 y x) z)))) | |
| 53.7% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 y z))))) | |
| 17.3% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 x z))))) | |
| 67.0% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (log (* (+ y x) z)) (+.f64 (log.f64 y) (log.f64 z))))) | |
| 39.8% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) | |
| 15.1% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) | |
| 23.3% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) | |
| 74.5% | #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)) | |
| 53.8% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 (+.f64 y x) z)))) | |
| 51.8% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)) #s(literal 2 binary64))) (pow.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)) (log.f64 t)) #s(literal -1 binary64)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a)) a)) | |
| 64.2% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) | |
| 34.3% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) a)) | |
| 16.8% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (neg.f64 t) a))) a)) | |
| 22.3% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) | |
| 38.9% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (log.f64 t)) a)) | |
| 66.9% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) #s(approx (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (+.f64 (log.f64 y) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z))))) | |
| 10.7% | #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))) | |
| 42.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))) (+.f64 (log.f64 z) t)) (*.f64 (fma.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 (+.f64 y x)) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) #s(literal 2 binary64))) (-.f64 (*.f64 t t) (pow.f64 (log.f64 z) #s(literal 2 binary64))))) (*.f64 (fma.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 (+.f64 y x)) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) #s(literal 2 binary64))) (+.f64 (log.f64 z) t)))) | |
| 14.8% | #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)))) | |
| 12.5% | #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)))) | |
| ▶ | 14.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
| ▶ | 8.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
| 14.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))) | |
| ✓ | 33.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
| ▶ | 61.3% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)))) |
| 30.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) (log.f64 (+.f64 y x))))) |
Compiled 1 797 to 1 503 computations (16.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)))) | |
| cost-diff | 128 | (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) | |
| cost-diff | 384 | (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) | |
| cost-diff | 1152 | (fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)) | |
| cost-diff | 0 | (log.f64 t) | |
| cost-diff | 0 | (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) 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 #s(approx (* z (+ y x)) (*.f64 y z))) 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 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) | |
| cost-diff | 1216 | (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t)) | |
| cost-diff | 6912 | (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 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 | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) | |
| cost-diff | 128 | (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 128 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) | |
| cost-diff | 7168 | (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 466 |
| 0 | 101 | 462 |
| 1 | 178 | 441 |
| 2 | 405 | 416 |
| 3 | 1189 | 409 |
| 4 | 3891 | 403 |
| 5 | 7429 | 403 |
| 0 | 8295 | 389 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 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 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (log.f64 t)) |
(log.f64 t) |
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.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) 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 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
(*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t)) |
(/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
t |
(pow.f64 t #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.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 #s(approx (* z (+ y x)) (*.f64 y 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 #s(approx (* z (+ y x)) (*.f64 y z))) t))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)) |
(log.f64 t) |
t |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t) |
(log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) |
#s(approx (* z (+ y x)) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)))) |
#s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t))) |
(fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)) |
(+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) |
(fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) |
(/.f64 (neg.f64 (log.f64 t)) t) |
(neg.f64 (log.f64 t)) |
(log.f64 t) |
t |
#s(literal 1/2 binary64) |
(/.f64 (log.f64 z) t) |
(log.f64 z) |
z |
(/.f64 (log.f64 (+.f64 y x)) t) |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(neg.f64 t) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (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 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(neg.f64 (log.f64 t)) |
(log.f64 t) |
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(-.f64 #s(literal 1/2 binary64) a) |
(/.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) 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 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
(*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t)) |
(neg.f64 t) |
(/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) t) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
t |
(pow.f64 t #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.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 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) 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 #s(approx (* z (+ y x)) (*.f64 y z))) t))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) t))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) t)) |
(log.f64 t) |
t |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t) |
(-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) t) |
(log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) |
(log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) |
#s(approx (* z (+ y x)) (*.f64 y z)) |
#s(approx (* z (+ y x)) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (/.f64 (log.f64 z) t) t (-.f64 (log.f64 (+.f64 y x)) (fma.f64 #s(literal 1/2 binary64) (log.f64 t) t))))) |
#s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t))) |
#s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (/.f64 (log.f64 z) t) t (-.f64 (log.f64 (+.f64 y x)) (fma.f64 #s(literal 1/2 binary64) (log.f64 t) t)))) |
(fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)) |
(fma.f64 (/.f64 (log.f64 z) t) t (-.f64 (log.f64 (+.f64 y x)) (fma.f64 #s(literal 1/2 binary64) (log.f64 t) t))) |
(+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 z))) (/.f64 (log.f64 (+.f64 y x)) t)) |
(fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) t) (log.f64 t) (/.f64 (log.f64 z) t)) |
(/.f64 (neg.f64 (log.f64 t)) t) |
(neg.f64 (log.f64 t)) |
(log.f64 t) |
t |
#s(literal 1/2 binary64) |
(/.f64 (log.f64 z) t) |
(log.f64 z) |
z |
(/.f64 (log.f64 (+.f64 y x)) t) |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(neg.f64 t) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26953125 | (/.f64 (log.f64 z) t) | |
| accuracy | 0.49817036213576316 | (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) | |
| accuracy | 0.498826483636649 | (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) | |
| accuracy | 24.590640276176863 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)))) | |
| accuracy | 0.265625 | (/.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 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) | |
| accuracy | 0.3984375218321243 | (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t))) | |
| accuracy | 0.7555781542569722 | #s(approx (* z (+ y x)) (*.f64 y z)) | |
| accuracy | 16.17946694471192 | (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 30.380125713456025 | (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t)) | |
| accuracy | 41.03990902517997 | (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) | |
| accuracy | 42.48567833142953 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) | |
| accuracy | 0 | (*.f64 (neg.f64 t) t) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 30.276941971883527 | (/.f64 (*.f64 (neg.f64 t) t) t) | |
| accuracy | 42.48567833142953 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) | |
| accuracy | 0.125 | (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) | |
| accuracy | 0.12890625 | (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))) | |
| accuracy | 0.13110250946961358 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) | |
| accuracy | 0.4742124019396077 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 163.0ms | 256× | 0 | valid |
Compiled 370 to 55 computations (85.1% saved)
ival-mult: 17.0ms (22% of total)ival-div: 15.0ms (19.4% of total)ival-log: 15.0ms (19.4% of total)ival-add: 11.0ms (14.2% of total)ival-sub: 9.0ms (11.7% of total)ival-pow: 6.0ms (7.8% of total)ival-neg: 2.0ms (2.6% 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 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 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 (*.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 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (patch (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t)) (patch (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t 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 #s(approx (* z (+ y x)) (*.f64 y z))) 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 #s(approx (* z (+ y x)) (*.f64 y z))) 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 #s(approx (* z (+ y x)) (*.f64 y z))) t))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)) #<representation binary64>) () ()) |
#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)) (patch (fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) (patch (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (patch (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 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 #s(approx (* z (+ y x)) (*.f64 y z))) (patch (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* z (+ y x)) (*.f64 y z)) (patch #s(approx (* z (+ y x)) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 z) t) (patch (/.f64 (log.f64 z) t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1/2 (taylor 0 a) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1 a)) (taylor 0 a) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1 a)) (taylor 0 a) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1 a)) (taylor 0 a) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 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 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #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 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #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 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #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 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (log t)) (taylor 0 a) (#s(alt (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 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 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 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 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 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 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 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 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (taylor 0 a) (#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 #s(approx (* z (+ y x)) (*.f64 y z))) 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 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) #<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) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) 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 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) #<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) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) 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 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) #<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) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) 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 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (taylor 0 a) (#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) (taylor 0 a) (#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)) #<representation binary64>) () ())) ()) |
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15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 96.0ms | t | @ | -inf | ((pow (/ -1 (- a 1/2)) -1) (+ (- (+ (log (+ x y)) (log z)) t) (* (neg (log t)) (pow (/ -1 (- a 1/2)) -1))) (* (neg (log t)) (pow (/ -1 (- a 1/2)) -1)) (- (+ (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) t) (pow t 3)) (* (/ (* (neg t) t) (pow t 3)) (* t t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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) (+ (* (+ (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (/ (log (+ y x)) t)) t) (neg t)) (+ (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (/ (log (+ y x)) t)) (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (log (+ x y)) (log z)) (log (* z (+ y x))) (* z (+ y x)) (/ (log z) t)) |
| 60.0ms | z | @ | inf | ((pow (/ -1 (- a 1/2)) -1) (+ (- (+ (log (+ x y)) (log z)) t) (* (neg (log t)) (pow (/ -1 (- a 1/2)) -1))) (* (neg (log t)) (pow (/ -1 (- a 1/2)) -1)) (- (+ (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) t) (pow t 3)) (* (/ (* (neg t) t) (pow t 3)) (* t t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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) (+ (* (+ (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (/ (log (+ y x)) t)) t) (neg t)) (+ (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (/ (log (+ y x)) t)) (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (log (+ x y)) (log z)) (log (* z (+ y x))) (* z (+ y x)) (/ (log z) t)) |
| 55.0ms | z | @ | 0 | ((pow (/ -1 (- a 1/2)) -1) (+ (- (+ (log (+ x y)) (log z)) t) (* (neg (log t)) (pow (/ -1 (- a 1/2)) -1))) (* (neg (log t)) (pow (/ -1 (- a 1/2)) -1)) (- (+ (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) t) (pow t 3)) (* (/ (* (neg t) t) (pow t 3)) (* t t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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) (+ (* (+ (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (/ (log (+ y x)) t)) t) (neg t)) (+ (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (/ (log (+ y x)) t)) (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (log (+ x y)) (log z)) (log (* z (+ y x))) (* z (+ y x)) (/ (log z) t)) |
| 43.0ms | t | @ | inf | ((pow (/ -1 (- a 1/2)) -1) (+ (- (+ (log (+ x y)) (log z)) t) (* (neg (log t)) (pow (/ -1 (- a 1/2)) -1))) (* (neg (log t)) (pow (/ -1 (- a 1/2)) -1)) (- (+ (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) t) (pow t 3)) (* (/ (* (neg t) t) (pow t 3)) (* t t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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) (+ (* (+ (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (/ (log (+ y x)) t)) t) (neg t)) (+ (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (/ (log (+ y x)) t)) (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (log (+ x y)) (log z)) (log (* z (+ y x))) (* z (+ y x)) (/ (log z) t)) |
| 36.0ms | t | @ | 0 | ((pow (/ -1 (- a 1/2)) -1) (+ (- (+ (log (+ x y)) (log z)) t) (* (neg (log t)) (pow (/ -1 (- a 1/2)) -1))) (* (neg (log t)) (pow (/ -1 (- a 1/2)) -1)) (- (+ (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) t) (pow t 3)) (* (/ (* (neg t) t) (pow t 3)) (* t t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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) (+ (* (+ (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (/ (log (+ y x)) t)) t) (neg t)) (+ (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (/ (log (+ y x)) t)) (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (log (+ x y)) (log z)) (log (* z (+ y x))) (* z (+ y x)) (/ (log z) t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1110 | 16745 |
| 1 | 3350 | 16031 |
| 0 | 8373 | 15319 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1 a)) |
(+ 1/2 (* -1 a)) |
(+ 1/2 (* -1 a)) |
(- (+ (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))) |
(- (+ (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) |
(- (+ (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))) |
(- (+ (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 a) |
(* a (- (* 1/2 (/ 1 a)) 1)) |
(* a (- (* 1/2 (/ 1 a)) 1)) |
(* a (- (* 1/2 (/ 1 a)) 1)) |
(* 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)) |
(* 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))) |
(* 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) |
(* 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))) |
(* -1 a) |
(* -1 (* a (- 1 (* 1/2 (/ 1 a))))) |
(* -1 (* a (- 1 (* 1/2 (/ 1 a))))) |
(* -1 (* a (- 1 (* 1/2 (/ 1 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))))) |
(* 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))))) |
(* 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)) |
(* 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))))) |
(+ (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) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (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) |
(* -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 t) |
(/ -1 t) |
(/ -1 t) |
(/ -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))))) |
(+ (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)))) |
(/ 1 (+ (log (* z (+ x y))) (* (log t) (- a 1/2)))) |
(+ (/ 1 (+ (log (* z (+ x y))) (* (log t) (- a 1/2)))) (/ t (pow (+ (log (* z (+ x y))) (* (log t) (- a 1/2))) 2))) |
(+ (* t (+ (/ 1 (pow (+ (log (* z (+ x y))) (* (log t) (- a 1/2))) 2)) (/ t (pow (+ (log (* z (+ x y))) (* (log t) (- a 1/2))) 3)))) (/ 1 (+ (log (* z (+ x y))) (* (log t) (- a 1/2))))) |
(+ (* t (+ (* t (+ (/ 1 (pow (+ (log (* z (+ x y))) (* (log t) (- a 1/2))) 3)) (/ t (pow (+ (log (* z (+ x y))) (* (log t) (- a 1/2))) 4)))) (/ 1 (pow (+ (log (* z (+ x y))) (* (log t) (- a 1/2))) 2)))) (/ 1 (+ (log (* z (+ x y))) (* (log t) (- a 1/2))))) |
(+ (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 t) |
(log t) |
(log t) |
(log t) |
(+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* -1/2 (log t))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* -1/2 (log t))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* -1/2 (log t))))) |
(/ (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(/ (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(/ (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(/ (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(/ (+ (log z) (* -1/2 (log t))) t) |
(/ (+ (log z) (* -1/2 (log t))) t) |
(/ (+ (log z) (* -1/2 (log t))) t) |
(/ (+ (log z) (* -1/2 (log t))) 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))))) |
(/ (log z) t) |
(/ (log z) t) |
(/ (log z) t) |
(/ (log z) 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 (* (log (/ 1 t)) (- a 1/2))) |
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(+ (* -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))) |
(- (+ (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) |
(- (* t (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1/2 (/ (log t) t)) (+ (/ (log -1) t) (/ (log z) t))))) t) |
(- (+ (* t (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1/2 (/ (log t) t)) (+ (/ (log -1) t) (/ (log z) t))))) (/ y x)) t) |
(- (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* t (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1/2 (/ (log t) t)) (+ (/ (log -1) t) (/ (log z) t)))))) t) |
(- (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* t (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1/2 (/ (log t) t)) (+ (/ (log -1) t) (/ (log z) t)))))) t) |
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1/2 (/ (log t) t)) (+ (/ (log -1) t) (/ (log z) t)))) |
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1/2 (/ (log t) t)) (+ (/ y (* t x)) (+ (/ (log -1) t) (/ (log z) t))))) |
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* 1/2 (/ (pow y 2) (* t x)))) x)) (+ (* -1/2 (/ (log t) t)) (+ (/ (log -1) t) (/ (log z) 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)) (+ (* -1/2 (/ (log t) t)) (+ (/ (log -1) t) (/ (log z) 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 -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 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))))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1 a)) |
(-.f64 #s(literal 1/2 binary64) a) |
(+ 1/2 (* -1 a)) |
(-.f64 #s(literal 1/2 binary64) a) |
(+ 1/2 (* -1 a)) |
(-.f64 #s(literal 1/2 binary64) a) |
(- (+ (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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(* -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)) |
(- (+ (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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (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 (-.f64 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (log.f64 t) (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 a (/.f64 (neg.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))) (/.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 (fma.f64 a (/.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))) (/.f64 (neg.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 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (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))) (/.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 (/.f64 (neg.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 (-.f64 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) 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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (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 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(* -1 a) |
(neg.f64 a) |
(* a (- (* 1/2 (/ 1 a)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) |
(* a (- (* 1/2 (/ 1 a)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) |
(* a (- (* 1/2 (/ 1 a)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* 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) |
(* 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) |
(* 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) |
(* a (log t)) |
(*.f64 (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) (* -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 (log.f64 t) a) |
(* 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) |
(* 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) |
(* 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) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* 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) |
(* 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) |
(* 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) |
(* a (log t)) |
(*.f64 (log.f64 t) 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) |
(* 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 (log t))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) a)) |
(/ (- (+ (/ 1/2 (* a (log t))) (+ (/ 1 (log t)) (/ t (* a (pow (log t) 2))))) (/ (log (* z (+ x y))) (* a (pow (log t) 2)))) a) |
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(/ (- (+ (* -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) |
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(- (+ (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 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (-.f64 (log.f64 #s(literal -1 binary64)) 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) |
(+.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 z)) (-.f64 (log.f64 #s(literal -1 binary64)) 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) |
(+.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y (/.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))) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(+ (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 (/.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) (* 1/2 (/ (pow y 2) x))) x))))) |
(+.f64 (-.f64 (-.f64 (log.f64 z) (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 #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 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.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)) x)) (log.f64 #s(literal -1 binary64))) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x))) |
(+.f64 (-.f64 (/.f64 y x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 z)) (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 (* -1 z)) (+ (* -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 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.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)) x)) |
(* x z) |
(*.f64 x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (neg.f64 (fma.f64 y (/.f64 z x) z)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (neg.f64 (fma.f64 y (/.f64 z x) z)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (neg.f64 (fma.f64 y (/.f64 z x) z)) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 329 |
| 0 | 101 | 311 |
| 1 | 420 | 286 |
| 2 | 3471 | 257 |
| 0 | 9445 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(/.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 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.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 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)) |
(log.f64 t) |
(fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)) |
(+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) |
(fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal 1/2 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)))) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) |
#s(approx (* z (+ y x)) (*.f64 y z)) |
(/.f64 (log.f64 z) t) |
| Outputs |
|---|
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Compiled 48 119 to 4 797 computations (90% saved)
53 alts after pruning (49 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 826 | 17 | 1 843 |
| Fresh | 10 | 32 | 42 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 838 | 53 | 1 891 |
| Status | Accuracy | Program |
|---|---|---|
| 58.2% | (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)) | |
| 74.5% | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) t)) | |
| 54.3% | (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)))) | |
| 60.3% | (fma.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) | |
| 67.5% | (fma.f64 #s(approx (- (pow (log z) 2) (* t t)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) | |
| 33.2% | (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) t)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 57.8% | (/.f64 (fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (*.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) | |
| ✓ | 74.4% | (/.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 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) |
| 99.1% | (/.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))) (+.f64 (log.f64 y) (log.f64 z))) t)))) | |
| 38.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 #s(approx (* z (+ y x)) (*.f64 z y)))) #s(literal 2 binary64)) (*.f64 t t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) t))))) | |
| 74.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) | |
| 38.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 (log.f64 t) a)))) | |
| 33.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t))) | |
| 74.5% | (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) | |
| 74.3% | (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) | |
| 74.5% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 99.5% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 t) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) | |
| 99.5% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))) | |
| 35.4% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (neg.f64 (-.f64 (log.f64 (pow.f64 t #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) | |
| 73.6% | (+.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))))) | |
| 73.7% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 73.6% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) | |
| 42.3% | (+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (*.f64 a (log.f64 t))) (log.f64 (+.f64 y x))) | |
| 37.6% | (+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) | |
| 53.4% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 t)) (*.f64 #s(literal 2 binary64) (log.f64 t))) (log.f64 (*.f64 (+.f64 y x) z)))) | |
| 53.7% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 y z))))) | |
| 17.3% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 x z))))) | |
| 67.0% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (log (* (+ y x) z)) (+.f64 (log.f64 y) (log.f64 z))))) | |
| 39.8% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) | |
| 15.1% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) | |
| 23.3% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) | |
| 51.8% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)) #s(literal 2 binary64))) (pow.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal 1/2 binary64) (/.f64 t a)) (log.f64 t)) #s(literal -1 binary64)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a)) a)) | |
| 64.2% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) | |
| 34.3% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) a)) | |
| 16.8% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (neg.f64 t) a))) a)) | |
| 38.9% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (log.f64 t) a)) | |
| 22.3% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) | |
| 66.9% | #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) #s(approx (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (+.f64 (log.f64 y) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z))))) | |
| 10.7% | #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))) | |
| 42.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))) (+.f64 (log.f64 z) t)) (*.f64 (fma.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 (+.f64 y x)) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) #s(literal 2 binary64))) (-.f64 (*.f64 t t) (pow.f64 (log.f64 z) #s(literal 2 binary64))))) (*.f64 (fma.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 (+.f64 y x)) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) #s(literal 2 binary64))) (+.f64 (log.f64 z) t)))) | |
| 12.5% | #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)))) | |
| ✓ | 14.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
| 2.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 t t) t)) | |
| ✓ | 8.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
| 1.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t t)) (*.f64 t t))) | |
| 2.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t t))) | |
| 14.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t))) | |
| ✓ | 33.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
| 3.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 z (+.f64 y x))) t)) t t))) | |
| 48.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) #s(literal 1/2 binary64)) t (*.f64 t (log.f64 z))) (*.f64 t t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)))) | |
| 61.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (+.f64 #s(approx (+ (* (/ (neg (log t)) t) 1/2) (/ (log z) t)) (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)))) | |
| 30.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) (log.f64 (+.f64 y x))))) | |
| 2.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) t) |
Compiled 2 734 to 1 219 computations (55.4% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) 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 (*.f64 t t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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 #s(literal -1 binary64) t) (*.f64 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))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t 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 -1 binary64) (/.f64 #s(literal -1 binary64) t)))) |
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(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (-.f64 a #s(literal -1/2 binary64)) (*.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 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.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 a #s(literal -1/2 binary64)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))) (+.f64 (log.f64 z) t)) (*.f64 (fma.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 (+.f64 y x)) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) #s(literal 2 binary64))) (-.f64 (*.f64 t t) (pow.f64 (log.f64 z) #s(literal 2 binary64))))) (*.f64 (fma.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 (+.f64 y x)) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) #s(literal 2 binary64))) (+.f64 (log.f64 z) 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))) |
11 calls:
| 84.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 63.0ms | a |
| 43.0ms | y |
| 36.0ms | (+.f64 x y) |
| 32.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | t |
| 99.6% | 1 | a |
| 99.6% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 99.6% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 99.6% | 1 | (log.f64 (+.f64 x y)) |
| 99.6% | 1 | (+.f64 x y) |
| 99.6% | 1 | (log.f64 z) |
| 99.6% | 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))) 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 (*.f64 t t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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 #s(literal -1 binary64) t) (*.f64 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))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t 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 -1 binary64) (/.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 (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 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (log.f64 t)) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (log.f64 t) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 a (log.f64 t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 (log.f64 t) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
(+.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 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (neg.f64 t) a))) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (*.f64 a (log.f64 t))) (log.f64 (+.f64 y x))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 x z))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 y z))))) |
#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 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 (+.f64 y x) z)))) |
(-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.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) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) 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 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 z (+.f64 y x))) t)) t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) (log.f64 (+.f64 y x))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) #s(approx (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (+.f64 (log.f64 y) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (log (* (+ y x) z)) (+.f64 (log.f64 y) (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 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (log.f64 z))) (log.f64 (+.f64 y x))) |
(+.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 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) |
| Outputs |
|---|
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) |
11 calls:
| 30.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| 24.0ms | a |
| 23.0ms | x |
| 21.0ms | z |
| 19.0ms | (log.f64 (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | t |
| 99.6% | 1 | a |
| 99.6% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 99.6% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 99.6% | 1 | (log.f64 (+.f64 x y)) |
| 99.6% | 1 | (+.f64 x y) |
| 99.6% | 1 | (log.f64 z) |
| 99.6% | 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))) 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 (*.f64 t t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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 #s(literal -1 binary64) t) (*.f64 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))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t 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 -1 binary64) (/.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 (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 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (log.f64 t)) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (log.f64 t) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 a (log.f64 t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 (log.f64 t) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
(+.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 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (neg.f64 t) a))) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (*.f64 a (log.f64 t))) (log.f64 (+.f64 y x))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 x z))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 y z))))) |
#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 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 (+.f64 y x) z)))) |
(-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.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) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) 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 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 z (+.f64 y x))) t)) t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) (log.f64 (+.f64 y x))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) #s(approx (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (+.f64 (log.f64 y) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (log (* (+ y x) z)) (+.f64 (log.f64 y) (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 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (log.f64 z))) (log.f64 (+.f64 y x))) |
(+.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)))) |
| 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:
| 44.0ms | z |
| 18.0ms | (log.f64 z) |
| 18.0ms | (log.f64 (+.f64 x y)) |
| 17.0ms | (+.f64 x y) |
| 17.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| 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))) 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 (*.f64 t t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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 #s(literal -1 binary64) t) (*.f64 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))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t 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 -1 binary64) (/.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 (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 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (log.f64 t)) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (log.f64 t) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 a (log.f64 t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 (log.f64 t) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
(+.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 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (neg.f64 t) a))) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (*.f64 a (log.f64 t))) (log.f64 (+.f64 y x))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 x z))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 y z))))) |
#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 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 (+.f64 y x) z)))) |
(-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.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) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) 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 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 z (+.f64 y x))) t)) t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) (log.f64 (+.f64 y x))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) #s(approx (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (+.f64 (log.f64 y) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (log (* (+ y x) z)) (+.f64 (log.f64 y) (log.f64 z))))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (log (* (+ y x) z)) (+.f64 (log.f64 y) (log.f64 z))))) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
11 calls:
| 42.0ms | z |
| 18.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 18.0ms | (log.f64 z) |
| 17.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 17.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | t |
| 81.8% | 3 | x |
| 82.2% | 2 | y |
| 86.4% | 2 | z |
| 86.4% | 3 | a |
| 98.7% | 2 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 94.0% | 3 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 82.2% | 2 | (log.f64 (+.f64 x y)) |
| 82.2% | 2 | (+.f64 x y) |
| 86.4% | 2 | (log.f64 z) |
| 86.4% | 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))) 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 (*.f64 t t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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 #s(literal -1 binary64) t) (*.f64 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))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t 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 -1 binary64) (/.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 (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 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (log.f64 t)) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (log.f64 t) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 a (log.f64 t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 (log.f64 t) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
(+.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 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (neg.f64 t) a))) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (*.f64 a (log.f64 t))) (log.f64 (+.f64 y x))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 x z))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 y z))))) |
#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 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 (+.f64 y x) z)))) |
(-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.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) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) 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 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 z (+.f64 y x))) t)) t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) (log.f64 (+.f64 y x))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) #s(approx (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (+.f64 (log.f64 y) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z))))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) #s(approx (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (+.f64 (log.f64 y) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z))))) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
1 calls:
| 18.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | t |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) 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 (*.f64 t t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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 #s(literal -1 binary64) t) (*.f64 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))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t 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 -1 binary64) (/.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 (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 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (log.f64 t)) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (log.f64 t) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 a (log.f64 t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 (log.f64 t) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
(+.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 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (neg.f64 t) a))) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (*.f64 a (log.f64 t))) (log.f64 (+.f64 y x))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 x z))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 y z))))) |
#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 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 (+.f64 y x) z)))) |
(-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.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) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) 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 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 z (+.f64 y x))) t)) t t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) (log.f64 (+.f64 y x))))) |
| Outputs |
|---|
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) (log.f64 (+.f64 y x))))) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
2 calls:
| 18.0ms | t |
| 14.0ms | (+.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 |
|---|---|---|
| 97.4% | 3 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 88.0% | 2 | t |
Compiled 17 to 20 computations (-17.6% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) 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 (*.f64 t t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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 #s(literal -1 binary64) t) (*.f64 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))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t 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 -1 binary64) (/.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 (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 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (log.f64 t)) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (log.f64 t) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 a (log.f64 t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 (log.f64 t) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
(+.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 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (neg.f64 t) a))) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (*.f64 a (log.f64 t))) (log.f64 (+.f64 y x))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 x z))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 y z))))) |
#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 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 (+.f64 y x) z)))) |
(-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.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) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) 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 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 y z))) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (fma.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 z (+.f64 y x))) t)) t t))) |
| Outputs |
|---|
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
2 calls:
| 16.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 14.0ms | (+.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 |
|---|---|---|
| 94.0% | 3 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 93.0% | 3 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) 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 (*.f64 t t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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 #s(literal -1 binary64) t) (*.f64 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))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t 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 -1 binary64) (/.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 (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 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (log.f64 t)) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (log.f64 t) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 a (log.f64 t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 (log.f64 t) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
(+.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 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (neg.f64 t) a))) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (*.f64 a (log.f64 t))) (log.f64 (+.f64 y x))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 x z))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 y z))))) |
#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 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 (+.f64 y x) z)))) |
(-.f64 (log.f64 #s(approx (* z (+ y x)) (*.f64 z y))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
#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)) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) |
1 calls:
| 12.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.9% | 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))) 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 (*.f64 t t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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 #s(literal -1 binary64) t) (*.f64 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))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t 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 -1 binary64) (/.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 (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 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (log.f64 t)) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (log.f64 t) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 a (log.f64 t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 (log.f64 t) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
(+.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 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (neg.f64 t) a))) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (*.f64 a (log.f64 t))) (log.f64 (+.f64 y x))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 x z))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 y z))))) |
#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 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
| Outputs |
|---|
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 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)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
1 calls:
| 10.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.6% | 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))) 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 (*.f64 t t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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 #s(literal -1 binary64) t) (*.f64 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))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t 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 -1 binary64) (/.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 (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 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (log.f64 t)) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (log.f64 t) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 a (log.f64 t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 (log.f64 t) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
(+.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 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (neg.f64 t) a))) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (*.f64 a (log.f64 t))) (log.f64 (+.f64 y x))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 x z))))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 y z))))) |
| Outputs |
|---|
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 y z))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
2 calls:
| 13.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 9.0ms | (+.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 |
|---|---|---|
| 92.3% | 3 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 78.6% | 3 | (+.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))) 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 (*.f64 t t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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 #s(literal -1 binary64) t) (*.f64 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))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t 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 -1 binary64) (/.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 (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 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (log.f64 t)) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (log.f64 t) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 a (log.f64 t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 (log.f64 t) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
(+.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 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (neg.f64 t) a))) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (*.f64 a (log.f64 t))) (log.f64 (+.f64 y x))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 x z))))) |
| Outputs |
|---|
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
1 calls:
| 9.0ms | (+.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 |
|---|---|---|
| 91.4% | 3 | (+.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)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) 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 (*.f64 t t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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 #s(literal -1 binary64) t) (*.f64 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))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t 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 -1 binary64) (/.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 (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 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (log.f64 t)) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (log.f64 t) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 a (log.f64 t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (*.f64 (log.f64 t) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))) |
(+.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 (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a) #s(approx (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a))) (/.f64 (neg.f64 t) a))) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (*.f64 a (log.f64 t))) (log.f64 (+.f64 y x))) |
| Outputs |
|---|
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
11 calls:
| 56.0ms | z |
| 50.0ms | (+.f64 x y) |
| 11.0ms | (+.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))) |
| 8.0ms | (log.f64 (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.7% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 73.7% | 1 | x |
| 73.7% | 1 | y |
| 73.7% | 1 | (log.f64 (+.f64 x y)) |
| 73.7% | 1 | (+.f64 x y) |
| 73.7% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 73.7% | 1 | a |
| 73.7% | 1 | z |
| 73.7% | 1 | (log.f64 z) |
| 73.7% | 1 | t |
| 73.7% | 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 40 to 75 computations (-87.5% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) 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 (*.f64 t t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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 #s(literal -1 binary64) t) (*.f64 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))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t 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 -1 binary64) (/.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 (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 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 a (log.f64 t))) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (log.f64 t)) a)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (log.f64 t) a)) |
(+.f64 #s(approx (+ (* (log t) (- a 1/2)) (- (log z) t)) (neg.f64 t)) (log.f64 (+.f64 y x))) |
| 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)) |
11 calls:
| 14.0ms | t |
| 10.0ms | (log.f64 z) |
| 9.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| 9.0ms | y |
| 7.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.3% | 2 | x |
| 45.6% | 3 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 52.7% | 5 | y |
| 44.1% | 4 | z |
| 62.9% | 2 | t |
| 52.7% | 5 | (log.f64 (+.f64 x y)) |
| 52.7% | 5 | (+.f64 x y) |
| 44.1% | 4 | (log.f64 z) |
| 55.8% | 2 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 63.0% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
| 63.0% | 3 | a |
Compiled 40 to 75 computations (-87.5% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) 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 (*.f64 t t) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) |
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 #s(approx (+ (/ (log (* (+ y x) z)) a) (- (log t) (+ (* (/ (log t) a) 1/2) (/ t a)))) (/.f64 (neg.f64 t) a)) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log 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 #s(literal -1 binary64) t) (*.f64 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))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (*.f64 t 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 -1 binary64) (/.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 (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))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
11 calls:
| 40.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 7.0ms | (log.f64 (+.f64 x y)) |
| 6.0ms | a |
| 5.0ms | x |
| 5.0ms | (+.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 |
|---|---|---|
| 33.6% | 1 | z |
| 33.6% | 1 | (log.f64 z) |
| 33.6% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 33.6% | 1 | x |
| 33.6% | 1 | y |
| 33.6% | 1 | (log.f64 (+.f64 x y)) |
| 33.6% | 1 | (+.f64 x y) |
| 33.6% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 33.6% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 33.6% | 1 | a |
| 33.6% | 1 | t |
Compiled 40 to 75 computations (-87.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) t) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) t) |
11 calls:
| 1.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 1.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 1.0ms | (log.f64 (+.f64 x y)) |
| 1.0ms | x |
| 1.0ms | (log.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.6% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 2.6% | 1 | y |
| 2.6% | 1 | z |
| 2.6% | 1 | t |
| 2.6% | 1 | a |
| 2.6% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 2.6% | 1 | (log.f64 (+.f64 x y)) |
| 2.6% | 1 | (+.f64 x y) |
| 2.6% | 1 | (log.f64 z) |
| 2.6% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 2.6% | 1 | x |
Compiled 40 to 75 computations (-87.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 5.6332312930834785e-8 | 1.1658045478358307e-7 |
| 37.0ms | 80× | 0 | valid |
Compiled 154 to 173 computations (-12.3% saved)
ival-log: 32.0ms (93.1% of total)ival-sub: 1.0ms (2.9% of total)ival-add: 1.0ms (2.9% of total)ival-mult: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.6332312930834785e-8 | 1.1658045478358307e-7 |
Compiled 154 to 173 computations (-12.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1462.1133190865055 | 6867.610506111412 |
| 0.0ms | -22020.90557484296 | -628.863009900107 |
Compiled 19 to 23 computations (-21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 700.183714882929 | 722.8801935378335 |
| 0.0ms | -758.9649752792845 | -741.6318237574235 |
Compiled 19 to 23 computations (-21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 700.183714882929 | 722.8801935378335 |
| 0.0ms | -758.9649752792845 | -741.6318237574235 |
Compiled 19 to 23 computations (-21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 700.183714882929 | 722.8801935378335 |
| 0.0ms | -758.9649752792845 | -741.6318237574235 |
Compiled 19 to 23 computations (-21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2046914.9488363264 | 4.098867842724593e+25 |
| 0.0ms | -40626648419.33126 | -22020.90557484296 |
Compiled 19 to 23 computations (-21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 863.3486628318575 | 964.5896473783098 |
| 0.0ms | -22020.90557484296 | -628.863009900107 |
Compiled 19 to 23 computations (-21.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 138441736258954960.0 | 21152186283286934000.0 |
| 11.0ms | 112× | 0 | valid |
Compiled 75 to 142 computations (-89.3% saved)
ival-log: 4.0ms (54.5% of total)ival-add: 2.0ms (27.3% of total)ival-sub: 1.0ms (13.6% of total)ival-mult: 1.0ms (13.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 875 |
| 1 | 156 | 875 |
| 2 | 166 | 875 |
| 3 | 169 | 875 |
| 4 | 170 | 875 |
| 1× | saturated |
| 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 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) |
#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 8689154328480147/75557863725914323419136 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (log (* (+ y x) z)) (+.f64 (log.f64 y) (log.f64 z))))) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x)))) |
(if (<=.f64 t #s(literal 8689154328480147/75557863725914323419136 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) #s(approx (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (+.f64 (log.f64 y) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z))))) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x)))) |
(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 -20000 binary64)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) (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 2000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) (log.f64 (+.f64 y x))))) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -750 binary64)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 720 binary64)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -750 binary64)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 720 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)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -750 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 720 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)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.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 -40000000000 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.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 4000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 y z))))) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.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 -20000 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.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 900 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.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))) |
(if (<=.f64 t #s(literal 17000000000000000000 binary64)) #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))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) 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))) |
(+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t)) |
(+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 y x))) |
(+.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) 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)) |
#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 8689154328480147/75557863725914323419136 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (log (* (+ y x) z)) (+.f64 (log.f64 y) (log.f64 z))))) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x)))) |
(if (<=.f64 t #s(literal 8689154328480147/75557863725914323419136 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) #s(approx (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (+.f64 (log.f64 y) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z))))) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x)))) |
(if (<=.f64 t #s(literal 8689154328480147/75557863725914323419136 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) #s(approx (+ (* (- a 1/2) (log t)) (log (* (+ y x) z))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (log.f64 y)))) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x)))) |
(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 -20000 binary64)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) (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 2000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) (log.f64 (+.f64 y x))))) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))))) |
(if (<=.f64 (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t)) #s(literal -20000 binary64)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) (if (<=.f64 (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t)) #s(literal 2000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (log t) -1/2) (log (+ y x))) (- t (log z))) (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) (log.f64 (+.f64 y x))))) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -750 binary64)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 720 binary64)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) #s(literal -750 binary64)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) (if (<=.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) #s(literal 720 binary64)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -750 binary64)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 720 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)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) #s(literal -750 binary64)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))) (if (<=.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) #s(literal 720 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)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (log z) t) (neg.f64 t))) (log.f64 (+.f64 y x))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -750 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 720 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)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) #s(literal -750 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (if (<=.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) #s(literal 720 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)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))) |
(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 -40000000000 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.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 4000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 y z))))) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))) |
(if (<=.f64 (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t)) #s(literal -40000000000 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (if (<=.f64 (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t)) #s(literal 4000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 #s(approx (* (+ y x) z) (*.f64 z y))))) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))) |
(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 -20000 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.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 900 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))) |
(if (<=.f64 (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t)) #s(literal -20000 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (if (<=.f64 (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t)) #s(literal 900 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z)))) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) |
(if (<=.f64 t #s(literal 17000000000000000000 binary64)) #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))) |
(if (<=.f64 t #s(literal 17000000000000000000 binary64)) #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))) |
#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))) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 978 | 16503 |
| 1 | 2966 | 15779 |
| 2 | 7902 | 15343 |
| 0 | 8068 | 14733 |
| 0 | 1173 | 15520 |
| 1 | 3538 | 14903 |
| 0 | 8607 | 14216 |
| 0 | 64 | 329 |
| 0 | 101 | 311 |
| 1 | 420 | 286 |
| 2 | 3471 | 257 |
| 0 | 9445 | 249 |
| 0 | 381 | 3139 |
| 1 | 1098 | 2980 |
| 2 | 3509 | 2941 |
| 0 | 8106 | 2791 |
| 0 | 49 | 201 |
| 0 | 79 | 180 |
| 1 | 388 | 175 |
| 2 | 2974 | 175 |
| 0 | 8668 | 174 |
| 0 | 59 | 315 |
| 0 | 91 | 296 |
| 1 | 433 | 279 |
| 2 | 3847 | 276 |
| 0 | 9388 | 276 |
| 0 | 15 | 42 |
| 0 | 24 | 39 |
| 1 | 102 | 39 |
| 2 | 837 | 39 |
| 0 | 8280 | 38 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 186 to 620 computations (47.7% saved)
(sort x y)
Compiled 1 282 to 402 computations (68.6% saved)
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