
Time bar (total: 13.4s)
| 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)
| 1.2s | 8 256× | 0 | valid |
| 226.0ms | 2 014× | 0 | invalid |
ival-log: 472.0ms (50.5% of total)ival-add: 258.0ms (27.6% of total)ival-sub: 109.0ms (11.7% of total)ival-mult: 78.0ms (8.3% of total)ival-true: 8.0ms (0.9% of total)exact: 6.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 1 | (-7.472204200879554e-150 4.203355561700812e+189 2.590167517206409e-188 1.3684364864544976e+87 -1.6478279498944977e+121) | (+.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)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 62.0ms | 512× | 0 | valid |
Compiled 141 to 49 computations (65.2% saved)
ival-log: 20.0ms (51.2% of total)ival-add: 10.0ms (25.6% of total)ival-sub: 5.0ms (12.8% of total)ival-mult: 3.0ms (7.7% 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 |
| 4 080× | lower-fma.f64 |
| 4 080× | lower-fma.f32 |
| 1 026× | sub-neg |
| 1 022× | associate-+l- |
| 1 004× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 335 |
| 1 | 261 | 331 |
| 2 | 845 | 325 |
| 3 | 3081 | 324 |
| 4 | 6375 | 324 |
| 5 | 7630 | 324 |
| 0 | 15 | 16 |
| 0 | 24 | 16 |
| 1 | 37 | 16 |
| 2 | 78 | 16 |
| 3 | 192 | 16 |
| 4 | 478 | 16 |
| 5 | 1452 | 16 |
| 6 | 2521 | 16 |
| 7 | 3354 | 16 |
| 8 | 3673 | 16 |
| 9 | 3695 | 16 |
| 10 | 3695 | 16 |
| 11 | 3755 | 16 |
| 12 | 3769 | 16 |
| 13 | 3769 | 16 |
| 0 | 3769 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(+.f64 (log.f64 (+.f64 x y)) (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 z) t))) |
(sort x y)
Compiled 21 to 15 computations (28.6% saved)
Compiled 5 to 5 computations (0% 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 21 to 15 computations (28.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (+.f64 x y)) | |
| cost-diff | 0 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) | |
| cost-diff | 0 | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) | |
| cost-diff | 128 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 4 080× | lower-fma.f64 |
| 4 080× | lower-fma.f32 |
| 1 026× | sub-neg |
| 1 004× | lower-+.f32 |
| 1 000× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 58 |
| 0 | 24 | 58 |
| 1 | 37 | 58 |
| 2 | 78 | 58 |
| 3 | 192 | 58 |
| 4 | 478 | 58 |
| 5 | 1452 | 58 |
| 6 | 2521 | 58 |
| 7 | 3354 | 58 |
| 8 | 3673 | 58 |
| 9 | 3695 | 58 |
| 10 | 3695 | 58 |
| 11 | 3755 | 58 |
| 12 | 3769 | 58 |
| 13 | 3769 | 58 |
| 0 | 3769 | 57 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(log.f64 (+.f64 x y)) |
(+.f64 x y) |
x |
y |
(log.f64 z) |
z |
t |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(+.f64 (log.f64 (+.f64 x y)) (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 z) t))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (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 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) |
(-.f64 a #s(literal 1/2 binary64)) |
(+.f64 a #s(literal -1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 t) | |
| accuracy | 0.10384750976844201 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| accuracy | 0.1484375 | (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) | |
| accuracy | 0.6183992901762467 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 42.0ms | 256× | 0 | valid |
Compiled 60 to 17 computations (71.7% saved)
ival-add: 18.0ms (58.2% of total)ival-log: 9.0ms (29.1% of total)ival-sub: 2.0ms (6.5% of total)ival-mult: 2.0ms (6.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ()) |
#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ()) |
#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ()) |
#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) (taylor 0 x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) (taylor 0 x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) (taylor 0 x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t) (taylor 0 x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 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 -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 x) (+ (log z) (* (log t) (- a 1/2)))) t) (taylor 0 y) (#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 x) (+ (log z) (+ (* (log t) (- a 1/2)) (/ y x)))) t) (taylor 0 y) (#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 x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t) (taylor 0 y) (#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 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) (taylor 0 y) (#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 y))) (* (log t) (- a 1/2)))) t) (taylor inf y) (#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 y))) (+ (* (log t) (- a 1/2)) (/ x y)))) t) (taylor inf y) (#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 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* (log t) (- a 1/2)) (/ x y))))) t) (taylor inf y) (#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 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) (taylor inf y) (#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 y))) (* (log t) (- a 1/2))))) t) (taylor -inf y) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (taylor inf z) (#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 (+ x y)) (* -1 (log (/ 1 z)))) (taylor inf z) (#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 (+ x y)) (* -1 (log (/ 1 z)))) (taylor inf z) (#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 (+ x y)) (* -1 (log (/ 1 z)))) (taylor inf z) (#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 (+ x y)) (* -1 (log (/ -1 z))))) (taylor -inf z) (#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 (+ x y)) (* -1 (log (/ -1 z))))) (taylor -inf z) (#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 (+ x y)) (* -1 (log (/ -1 z))))) (taylor -inf z) (#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 (+ x y)) (* -1 (log (/ -1 z))))) (taylor -inf z) (#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 (* -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) (* -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>) () ())) ()) |
#s(alt (log x) (taylor 0 y) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (/ y x)) (taylor 0 y) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))) (taylor 0 y) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 y))) (/ x y)) (taylor inf y) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))) (taylor inf y) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))) (taylor inf y) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (/ x y))) (taylor -inf y) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))) (taylor -inf y) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))) (taylor -inf y) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<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 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 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 t) (- a 1/2)) (taylor 0 t) (#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 t) (- a 1/2)) (taylor 0 t) (#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 t) (- a 1/2)) (taylor 0 t) (#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 t) (- a 1/2)) (taylor 0 t) (#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 (* (log (/ 1 t)) (- a 1/2))) (taylor inf t) (#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 (* (log (/ 1 t)) (- a 1/2))) (taylor inf t) (#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 (* (log (/ 1 t)) (- a 1/2))) (taylor inf t) (#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 (* (log (/ 1 t)) (- a 1/2))) (taylor inf t) (#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 -1) (* -1 (log (/ -1 t)))) (- a 1/2)) (taylor -inf t) (#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 -1) (* -1 (log (/ -1 t)))) (- a 1/2)) (taylor -inf t) (#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 -1) (* -1 (log (/ -1 t)))) (- a 1/2)) (taylor -inf t) (#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 -1) (* -1 (log (/ -1 t)))) (- a 1/2)) (taylor -inf t) (#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 t) (taylor 0 t) (#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (log t) (taylor 0 t) (#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (log t) (taylor 0 t) (#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (log t) (taylor 0 t) (#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 t))) (taylor inf t) (#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 t))) (taylor inf t) (#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 t))) (taylor inf t) (#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 t))) (taylor inf t) (#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 t)))) (taylor -inf t) (#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 t)))) (taylor -inf t) (#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 t)))) (taylor -inf t) (#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 t)))) (taylor -inf t) (#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())) ()) |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 81.0ms | z | @ | 0 | (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
| 29.0ms | z | @ | -inf | (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
| 27.0ms | z | @ | inf | (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
| 13.0ms | t | @ | 0 | (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
| 10.0ms | t | @ | inf | (* (- a 1/2) (log t)) |
| 1× | egg-herbie |
| 16 372× | lower-fma.f64 |
| 16 372× | lower-fma.f32 |
| 5 060× | lower-+.f64 |
| 5 060× | lower-+.f32 |
| 4 310× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 382 | 3187 |
| 1 | 1101 | 3021 |
| 2 | 3506 | 2976 |
| 0 | 8311 | 2824 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (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 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 -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 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 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 -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 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 (+ 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 -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 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) |
(* 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) |
(* -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))))) |
(- (+ (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) |
(* 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)) |
(* -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 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 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 -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 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 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 -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 z) (log (+ x y))) t) |
(- (+ (log z) (log (+ x y))) t) |
(- (+ (log z) (log (+ x y))) t) |
(- (+ (log z) (log (+ x y))) 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 -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 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) |
(* 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 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 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 z) (* -1 (log (/ 1 x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) |
(+ (log -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 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 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))))) |
(+ (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 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 (+ 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 -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 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)))) |
(* -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) (* -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)))) |
(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)))) |
(* -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) (* -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)))) |
(* -1/2 (log t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(* a (log t)) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* -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))) |
(* (+ (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 t) |
(log t) |
(log t) |
(log t) |
(* -1 (log (/ 1 t))) |
(* -1 (log (/ 1 t))) |
(* -1 (log (/ 1 t))) |
(* -1 (log (/ 1 t))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
| Outputs |
|---|
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (/.f64 x y) t)))) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (log.f64 z))) (-.f64 (log.f64 y) 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) |
(+.f64 (log.f64 y) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))) t)) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 x) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(+.f64 (log.f64 z) (+.f64 (log.f64 x) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (/.f64 y x) t)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(+.f64 (log.f64 x) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 z) t)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(+.f64 (fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))) (-.f64 (log.f64 x) t)) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) |
(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (/.f64 y x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (+.f64 (log.f64 z) (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 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) x) y) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (+.f64 (log.f64 z) (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 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 z) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (/.f64 (+.f64 y (/.f64 (fma.f64 y (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) x)) x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) t)))) |
(- (+ (log x) (+ (log z) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 x) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(- (+ (log x) (+ (log z) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(+.f64 (log.f64 z) (+.f64 (log.f64 x) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (/.f64 y x) t)))) |
(- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t) |
(+.f64 (log.f64 x) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 z) 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) |
(+.f64 (fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))) (-.f64 (log.f64 x) t)) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (/.f64 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) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (log.f64 z))) (-.f64 (log.f64 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) |
(+.f64 (log.f64 y) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))) t)) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t) |
(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* (log t) (- a 1/2)) (/ x y))))) t) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (/.f64 x y) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (-.f64 (+.f64 (log.f64 z) (log.f64 #s(literal -1 binary64))) 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) |
(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) x) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (+.f64 (log.f64 z) (log.f64 #s(literal -1 binary64))) 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) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (/.f64 (+.f64 x (/.f64 (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (*.f64 x x) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) y)) y) t))) |
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(+.f64 (log.f64 y) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (log.f64 z))) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(+.f64 (log.f64 z) (+.f64 (/.f64 y x) (log.f64 x))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (log.f64 z) (log.f64 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))))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (log.f64 z) (log.f64 x))) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) |
(+.f64 (log.f64 z) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 z) (-.f64 (/.f64 y x) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) |
(+.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) x) 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 (log.f64 z) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 (*.f64 y y) x)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) y) x))) |
(+ (log x) (log z)) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log x) (+ (log z) (/ y x))) |
(+.f64 (log.f64 z) (+.f64 (/.f64 y x) (log.f64 x))) |
(+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (log.f64 z) (log.f64 x))) |
(+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (log.f64 z) (log.f64 x))) |
(+ (log z) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 z)) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) |
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (/.f64 x y))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(+.f64 (log.f64 y) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (log.f64 z))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) |
(+.f64 (log.f64 y) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (log.f64 z))) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(+.f64 (log.f64 z) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) |
(+.f64 (log.f64 z) (+.f64 (/.f64 x y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) |
(+.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) x) y) (log.f64 #s(literal -1 binary64)))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) |
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (+.f64 x (/.f64 (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (*.f64 x x) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) y)) y)) |
(+ (log z) (log (+ x y))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(+ (log z) (log (+ x y))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(+ (log z) (log (+ x y))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(+ (log z) (log (+ x y))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) |
(log y) |
(log.f64 y) |
(+ (log y) (/ x y)) |
(+.f64 (log.f64 y) (/.f64 x y)) |
(+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (log.f64 y)) |
(+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (log.f64 y)) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ y x)) |
(+.f64 (/.f64 y x) (log.f64 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x))) |
(+.f64 (/.f64 y x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) |
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) x) y) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 (*.f64 y y) x)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) y) x)) |
(log x) |
(log.f64 x) |
(+ (log x) (/ y x)) |
(+.f64 (/.f64 y x) (log.f64 x)) |
(+ (log x) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) |
(+ (log x) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(+ (* -1 (log (/ 1 y))) (/ x y)) |
(+.f64 (log.f64 y) (/.f64 x y)) |
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))) |
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (log.f64 y)) |
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (log.f64 y)) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (/ x y))) |
(+.f64 (/.f64 x y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))) |
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) x) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))) |
(+.f64 (/.f64 (+.f64 x (/.f64 (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (*.f64 x x) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) y)) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* -1/2 (log t)) |
(*.f64 (log.f64 t) #s(literal -1/2 binary64)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 a (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 a (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 a (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 a (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 a (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 a (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) |
(log t) |
(log.f64 t) |
(log t) |
(log.f64 t) |
(log t) |
(log.f64 t) |
(log t) |
(log.f64 t) |
(* -1 (log (/ 1 t))) |
(log.f64 t) |
(* -1 (log (/ 1 t))) |
(log.f64 t) |
(* -1 (log (/ 1 t))) |
(log.f64 t) |
(* -1 (log (/ 1 t))) |
(log.f64 t) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) |
| 5 670× | lower-fma.f64 |
| 5 670× | lower-fma.f32 |
| 4 278× | lower-*.f32 |
| 4 276× | lower-*.f64 |
| 3 538× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 44 |
| 0 | 24 | 41 |
| 1 | 102 | 41 |
| 2 | 837 | 41 |
| 0 | 8280 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(log.f64 (+.f64 x y)) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(log.f64 t) |
| Outputs |
|---|
(+.f64 (log.f64 (+.f64 x y)) (+.f64 (-.f64 (log.f64 z) t) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))) |
(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))) |
(+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 x y)) (+.f64 (neg.f64 t) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))) |
(+.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 (+.f64 x y)) t) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(+.f64 (log.f64 (*.f64 (+.f64 x y) z)) (neg.f64 (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))) |
(+.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 (neg.f64 t) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) |
(+.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(+.f64 (neg.f64 t) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(+.f64 (-.f64 (log.f64 z) t) (+.f64 (log.f64 (+.f64 x y)) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))))) |
(+.f64 (*.f64 (log.f64 t) a) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) |
(+.f64 (*.f64 a (log.f64 t)) (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) |
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(*.f64 (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64)))) |
(log.f64 t) |
Compiled 19 818 to 1 582 computations (92% saved)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 540 | 20 | 560 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 541 | 20 | 561 |
| Status | Accuracy | Program |
|---|---|---|
| 54.7% | (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) | |
| 61.3% | (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t (+.f64 t (log.f64 z))))) (+.f64 (log.f64 (+.f64 x y)) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) | |
| 71.5% | (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 x y)) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) | |
| 59.9% | (fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| 59.6% | (/.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 (+.f64 x y) z)) 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 (+.f64 x y) z)) t)))) | |
| 78.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) t))) | |
| 78.8% | (-.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) t) | |
| ▶ | 78.8% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
| 33.1% | (+.f64 (-.f64 (+.f64 (/.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (log.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))) (log.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))) (+.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (log.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 66.5% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 t) a) (*.f64 (log.f64 t) a) (-.f64 (*.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (*.f64 (*.f64 (log.f64 t) a) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))))) | |
| 66.8% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64))))) | |
| 99.6% | (+.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))))) | |
| ▶ | 99.6% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 80.8% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 86.4% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (/.f64 (log.f64 z) t))) (neg.f64 t))) | |
| 58.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (+.f64 y x))))) | |
| ▶ | 99.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) |
| 37.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) | |
| ▶ | 84.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)))) |
| ▶ | 41.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
Compiled 1 174 to 686 computations (41.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) | |
| cost-diff | 0 | (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)))) | |
| cost-diff | 3136 | (*.f64 a (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a))) | |
| cost-diff | 0 | (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) | |
| cost-diff | 0 | #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) | |
| cost-diff | 128 | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| cost-diff | 1024 | (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t)) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) z) | |
| cost-diff | 0 | (log.f64 (*.f64 (+.f64 x y) z)) | |
| cost-diff | 0 | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) | |
| cost-diff | 128 | (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 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 | (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) |
| 16 872× | lower-fma.f32 |
| 16 866× | lower-fma.f64 |
| 2 624× | lower-+.f32 |
| 2 608× | lower-+.f64 |
| 2 462× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 417 |
| 0 | 85 | 404 |
| 1 | 160 | 400 |
| 2 | 367 | 400 |
| 3 | 933 | 396 |
| 4 | 2607 | 382 |
| 5 | 4944 | 382 |
| 6 | 7089 | 382 |
| 0 | 8091 | 379 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) |
(+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(log.f64 y) |
y |
(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 |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
(neg.f64 t) |
t |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
(-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) |
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) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) |
(fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t)) |
t |
(/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(log.f64 z) |
z |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(neg.f64 t) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)))) |
(*.f64 a (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a))) |
a |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) |
(fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) |
(log.f64 t) |
t |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
(/.f64 (log.f64 z) a) |
(log.f64 z) |
z |
(/.f64 (log.f64 (+.f64 y x)) a) |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(/.f64 t a) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (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 z) t) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)))) |
(+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(+.f64 (-.f64 (log.f64 z) t) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y))) |
(log.f64 y) |
y |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) |
(-.f64 (log.f64 z) (fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) 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 |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
(neg.f64 t) |
t |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(-.f64 (log.f64 (*.f64 z (+.f64 x y))) (fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) t)) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(log.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 x y)) |
(+.f64 x y) |
x |
y |
z |
(-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) |
(fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) t) |
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) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) #s(approx (- (+ (log (+ x y)) (log z)) t) (+.f64 (-.f64 (log.f64 z) t) (log.f64 (+.f64 x y))))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (+.f64 (-.f64 (log.f64 z) t) (log.f64 (+.f64 x y)))) |
(fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t)) |
(+.f64 (-.f64 (log.f64 z) t) (log.f64 (+.f64 x y))) |
t |
(/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) |
(/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) t) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(log.f64 z) |
z |
(log.f64 (+.f64 y x)) |
(log.f64 (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(neg.f64 t) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(-.f64 a #s(literal 1/2 binary64)) |
(+.f64 a #s(literal -1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (-.f64 (log.f64 z) t) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (+.f64 x y))))) |
(*.f64 a (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a))) |
(+.f64 (-.f64 (log.f64 z) t) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (+.f64 x y)))) |
a |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)) |
(+.f64 (/.f64 (log.f64 (+.f64 x y)) a) (-.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 t a))) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 x y)) a)) |
(fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) |
(log.f64 t) |
t |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
(/.f64 (log.f64 z) a) |
(log.f64 z) |
z |
(/.f64 (log.f64 (+.f64 y x)) a) |
(/.f64 (log.f64 (+.f64 x y)) a) |
(log.f64 (+.f64 y x)) |
(log.f64 (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(/.f64 t a) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2421875 | (/.f64 (log.f64 (+.f64 y x)) a) | |
| accuracy | 0.26953125 | (/.f64 (log.f64 z) a) | |
| accuracy | 0.7245441285821068 | (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) | |
| accuracy | 9.701362782492092 | (*.f64 a (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a))) | |
| accuracy | 0.1484375 | (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t)) | |
| accuracy | 0.1484375 | (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) | |
| accuracy | 0.27734375 | (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) | |
| accuracy | 0.6183992901762467 | (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) | |
| accuracy | 0.01953125 | (*.f64 (+.f64 x y) z) | |
| accuracy | 0.10384750976844201 | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) | |
| accuracy | 0.1484375 | (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) | |
| accuracy | 13.441177170353228 | (log.f64 (*.f64 (+.f64 x y) z)) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 37.613343957627286 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) | |
| accuracy | 0 | (log.f64 t) | |
| accuracy | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) | |
| accuracy | 0.07488251953688403 | (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) | |
| accuracy | 0.21676505115753777 | (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) |
| 90.0ms | 256× | 0 | valid |
Compiled 355 to 47 computations (86.8% saved)
ival-log: 20.0ms (33.1% of total)ival-add: 14.0ms (23.2% of total)ival-mult: 10.0ms (16.5% of total)ival-div: 8.0ms (13.2% of total)ival-sub: 7.0ms (11.6% of total)ival-neg: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) (patch (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<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 #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 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (patch (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) #<representation binary64>) () ()) |
#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) #<representation binary64>) () ()) |
#s(alt (log.f64 (*.f64 (+.f64 x y) z)) (patch (log.f64 (*.f64 (+.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t)) (patch (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) (patch #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (patch (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) #<representation binary64>) () ()) |
#s(alt (*.f64 a (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a))) (patch (*.f64 a (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)) (patch (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (patch (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) #<representation binary64>) () ()) |
#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (patch (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) #<representation binary64>) () ()) |
#s(alt (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) (patch (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 z) a) (patch (/.f64 (log.f64 z) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) (taylor 0 x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) (taylor 0 x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) (taylor 0 x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t) (taylor 0 x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) (taylor inf x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) (taylor inf x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) 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 #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (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))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) (taylor inf x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) (taylor -inf x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) 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 #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (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)) (* (log t) (- a 1/2)))))) t) (taylor -inf x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (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)) (* (log t) (- a 1/2)))))) t) (taylor -inf x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log x) (+ (log z) (* (log t) (- a 1/2)))) t) (taylor 0 y) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log x) (+ (log z) (+ (* (log t) (- a 1/2)) (/ y x)))) t) (taylor 0 y) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t) (taylor 0 y) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (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) (taylor 0 y) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t) (taylor inf y) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* (log t) (- a 1/2)) (/ x y)))) t) (taylor inf y) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (log z) a) (taylor inf a) (#s(alt (/.f64 (log.f64 z) a) (patch (/.f64 (log.f64 z) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log z) a) (taylor inf a) (#s(alt (/.f64 (log.f64 z) a) (patch (/.f64 (log.f64 z) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log z) a) (taylor inf a) (#s(alt (/.f64 (log.f64 z) a) (patch (/.f64 (log.f64 z) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log z) a) (taylor -inf a) (#s(alt (/.f64 (log.f64 z) a) (patch (/.f64 (log.f64 z) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log z) a) (taylor -inf a) (#s(alt (/.f64 (log.f64 z) a) (patch (/.f64 (log.f64 z) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log z) a) (taylor -inf a) (#s(alt (/.f64 (log.f64 z) a) (patch (/.f64 (log.f64 z) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log z) a) (taylor -inf a) (#s(alt (/.f64 (log.f64 z) a) (patch (/.f64 (log.f64 z) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log x) a) (taylor 0 y) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ y (* a x)) (/ (log x) a)) (taylor 0 y) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* -1/2 (/ y (* a (pow x 2)))) (/ 1 (* a x)))) (/ (log x) a)) (taylor 0 y) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* y (- (* 1/3 (/ y (* a (pow x 3)))) (* 1/2 (/ 1 (* a (pow x 2)))))) (/ 1 (* a x)))) (/ (log x) a)) (taylor 0 y) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (log (/ 1 y)) a)) (taylor inf y) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ 1 y)) a)) (/ x (* a y))) (taylor inf y) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (/ x (* a y)))) (taylor inf y) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (+ (* 1/3 (/ (pow x 3) (* a (pow y 3)))) (/ x (* a y))))) (taylor inf y) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 y)))) a) (taylor -inf y) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ x (* a y)) (/ (log -1) a))) (taylor -inf y) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* 1/3 (/ (pow x 3) (* a y)))) y))) y)) (/ (log -1) a))) (taylor -inf y) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log y) a) (taylor 0 x) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (* a y)) (/ (log y) a)) (taylor 0 x) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1/2 (/ x (* a (pow y 2)))) (/ 1 (* a y)))) (/ (log y) a)) (taylor 0 x) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (log (/ 1 x)) a)) (taylor inf x) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ 1 x)) a)) (/ y (* a x))) (taylor inf x) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (/ y (* a x)))) (taylor inf x) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))))) (taylor inf x) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) a) (taylor -inf x) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ y (* a x)) (/ (log -1) a))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
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#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) a))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (+ x y)) a) (taylor 0 a) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (+ x y)) a) (taylor 0 a) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (+ x y)) a) (taylor 0 a) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (+ x y)) a) (taylor 0 a) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (+ x y)) a) (taylor inf a) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (+ x y)) a) (taylor inf a) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (+ x y)) a) (taylor inf a) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (+ x y)) a) (taylor inf a) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (+ x y)) a) (taylor -inf a) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (+ x y)) a) (taylor -inf a) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (+ x y)) a) (taylor -inf a) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (+ x y)) a) (taylor -inf a) (#s(alt (/.f64 (log.f64 (+.f64 y x)) a) (patch (/.f64 (log.f64 (+.f64 y x)) a) #<representation binary64>) () ())) ()) |
246 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | y | @ | 0 | (* a (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a))) |
| 26.0ms | y | @ | 0 | (+ (log y) (+ (* (log t) (+ a -1/2)) (- (log z) t))) |
| 15.0ms | z | @ | -inf | (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) |
| 14.0ms | t | @ | inf | (/ (+ (log z) (log (+ y x))) t) |
| 13.0ms | z | @ | 0 | (+ (log y) (+ (* (log t) (+ a -1/2)) (- (log z) t))) |
| 1× | egg-herbie |
| 9 482× | lower-fma.f64 |
| 9 482× | lower-fma.f32 |
| 6 896× | lower-+.f64 |
| 6 896× | lower-+.f32 |
| 3 608× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 970 | 17988 |
| 1 | 2910 | 17197 |
| 2 | 7743 | 17141 |
| 0 | 8138 | 16423 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (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 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 -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 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 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 -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 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 (+ 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 -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 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) |
(* 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) |
(* -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))))) |
(- (+ (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) |
(* 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)) |
(* -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 y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t) |
(- (+ (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))))) t) |
(- (+ (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))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t) |
(+ (log y) (+ (log z) (* (log t) (- a 1/2)))) |
(+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(* -1 t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) |
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a))))) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
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(+ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log z) a) (/ (log (+ x y)) a))) |
(/ (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) a) |
(/ (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) a) |
(/ (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) a) |
(/ (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) a) |
(log t) |
(+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) |
(+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) |
(+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) |
(log t) |
(+ (log t) (* -1 (/ (+ (* -1 (log z)) (+ (* -1 (log (+ x y))) (* 1/2 (log t)))) a))) |
(+ (log t) (* -1 (/ (+ (* -1 (log z)) (+ (* -1 (log (+ x y))) (* 1/2 (log t)))) a))) |
(+ (log t) (* -1 (/ (+ (* -1 (log z)) (+ (* -1 (log (+ x y))) (* 1/2 (log t)))) a))) |
(+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log z) a) (/ (log (+ x y)) a))) |
(+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log z) a) (/ (log (+ x y)) a))) |
(+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log z) a) (/ (log (+ x y)) a))) |
(+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log z) a) (/ (log (+ x y)) a))) |
(+ (* -1 (/ (log (/ 1 z)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (/ (log (+ x y)) a))) |
(+ (* -1 (/ (log (/ 1 z)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (/ (log (+ x y)) a))) |
(+ (* -1 (/ (log (/ 1 z)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (/ (log (+ x y)) a))) |
(+ (* -1 (/ (log (/ 1 z)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (/ (log (+ x y)) a))) |
(+ (* -1 (/ (log (/ -1 z)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) |
(+ (* -1 (/ (log (/ -1 z)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) |
(+ (* -1 (/ (log (/ -1 z)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) |
(+ (* -1 (/ (log (/ -1 z)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) |
(+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log x) a) (/ (log z) a))) |
(+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ y (* a x)) (+ (/ (log x) a) (/ (log z) a)))) |
(+ (* y (+ (* -1/2 (/ y (* a (pow x 2)))) (/ 1 (* a x)))) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log x) a) (/ (log z) a)))) |
(+ (* y (+ (* y (- (* 1/3 (/ y (* a (pow x 3)))) (* 1/2 (/ 1 (* a (pow x 2)))))) (/ 1 (* a x)))) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log x) a) (/ (log z) a)))) |
(+ (* -1 (/ (log (/ 1 y)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (/ (log z) a))) |
(+ (* -1 (/ (log (/ 1 y)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ x (* a y)) (/ (log z) a)))) |
(+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ x (* a y)) (/ (log z) a))))) |
(+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (+ (* 1/3 (/ (pow x 3) (* a (pow y 3)))) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ x (* a y)) (/ (log z) a)))))) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log -1) a) (/ (log z) a)))) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ x (* a y)) (+ (/ (log -1) a) (/ (log z) a))))) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1 (/ (+ (* -1 (/ x a)) (* 1/2 (/ (pow x 2) (* a y)))) y)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log -1) a) (/ (log z) a))))) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* 1/3 (/ (pow x 3) (* a y)))) y))) y)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log -1) a) (/ (log z) a))))) |
(+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log y) a) (/ (log z) a))) |
(+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ x (* a y)) (+ (/ (log y) a) (/ (log z) a)))) |
(+ (* x (+ (* -1/2 (/ x (* a (pow y 2)))) (/ 1 (* a y)))) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log y) a) (/ (log z) a)))) |
(+ (* x (+ (* x (- (* 1/3 (/ x (* a (pow y 3)))) (* 1/2 (/ 1 (* a (pow y 2)))))) (/ 1 (* a y)))) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log y) a) (/ (log z) a)))) |
(+ (* -1 (/ (log (/ 1 x)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (/ (log z) a))) |
(+ (* -1 (/ (log (/ 1 x)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ y (* a x)) (/ (log z) a)))) |
(+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ 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)))) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ y (* a x)) (/ (log z) a)))))) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log -1) a) (/ (log z) a)))) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ y (* a x)) (+ (/ (log -1) a) (/ (log z) a))))) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* 1/2 (/ (pow y 2) (* a x)))) x)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log -1) a) (/ (log 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 t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log -1) a) (/ (log z) a))))) |
(log t) |
(log t) |
(log t) |
(log t) |
(* -1 (log (/ 1 t))) |
(* -1 (log (/ 1 t))) |
(* -1 (log (/ 1 t))) |
(* -1 (log (/ 1 t))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(+ (log -1) (* -1 (log (/ -1 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)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(+ (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 (+ 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 -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 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 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))))) |
(+ (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 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 z) (* -1 (log (/ 1 x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) |
(+ (log -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))))) |
(* -1/2 (log t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(* a (log t)) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* -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))) |
(* (+ (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) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(* -1 (/ (log (/ 1 z)) a)) |
(* -1 (/ (log (/ 1 z)) a)) |
(* -1 (/ (log (/ 1 z)) a)) |
(* -1 (/ (log (/ 1 z)) a)) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) a) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) a) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) a) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log x) a) |
(+ (/ y (* a x)) (/ (log x) a)) |
(+ (* y (+ (* -1/2 (/ y (* a (pow x 2)))) (/ 1 (* a x)))) (/ (log x) a)) |
(+ (* y (+ (* y (- (* 1/3 (/ y (* a (pow x 3)))) (* 1/2 (/ 1 (* a (pow x 2)))))) (/ 1 (* a x)))) (/ (log x) a)) |
(* -1 (/ (log (/ 1 y)) a)) |
(+ (* -1 (/ (log (/ 1 y)) a)) (/ x (* a y))) |
(+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (/ x (* a y)))) |
(+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (+ (* 1/3 (/ (pow x 3) (* a (pow y 3)))) (/ x (* a y))))) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) a) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ x (* a y)) (/ (log -1) a))) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1 (/ (+ (* -1 (/ x a)) (* 1/2 (/ (pow x 2) (* a y)))) y)) (/ (log -1) a))) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* 1/3 (/ (pow x 3) (* a y)))) y))) y)) (/ (log -1) a))) |
(/ (log y) a) |
(+ (/ x (* a y)) (/ (log y) a)) |
(+ (* x (+ (* -1/2 (/ x (* a (pow y 2)))) (/ 1 (* a y)))) (/ (log y) a)) |
(+ (* x (+ (* x (- (* 1/3 (/ x (* a (pow y 3)))) (* 1/2 (/ 1 (* a (pow y 2)))))) (/ 1 (* a y)))) (/ (log y) a)) |
(* -1 (/ (log (/ 1 x)) a)) |
(+ (* -1 (/ (log (/ 1 x)) a)) (/ y (* a x))) |
(+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (/ y (* a x)))) |
(+ (* -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 -1) (* -1 (log (/ -1 x)))) a) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ y (* a x)) (/ (log -1) a))) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* 1/2 (/ (pow y 2) (* a x)))) x)) (/ (log -1) 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) a))) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
| Outputs |
|---|
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(+.f64 (log.f64 z) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (/.f64 x y) t)))) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 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) |
(+.f64 (+.f64 (log.f64 y) (log.f64 z)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (neg.f64 t)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) (-.f64 (log.f64 x) t)) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(+.f64 (log.f64 z) (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 x)) (-.f64 (/.f64 y x) t))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(+.f64 (+.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (/.f64 y x))) (log.f64 x)) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(+.f64 (log.f64 z) (+.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (/.f64 y x)))) (-.f64 (log.f64 x) t))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (neg.f64 t)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (/.f64 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) |
(+.f64 (+.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x) (neg.f64 y)) x))) (-.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 (log.f64 z) (-.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))) x)) x)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(- (+ (log x) (+ (log z) (* (log t) (- a 1/2)))) t) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) (-.f64 (log.f64 x) t)) |
(- (+ (log x) (+ (log z) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(+.f64 (log.f64 z) (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 x)) (-.f64 (/.f64 y x) t))) |
(- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t) |
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(*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(* -1 (/ (log (/ 1 z)) a)) |
(/.f64 (log.f64 z) a) |
(* -1 (/ (log (/ 1 z)) a)) |
(/.f64 (log.f64 z) a) |
(* -1 (/ (log (/ 1 z)) a)) |
(/.f64 (log.f64 z) a) |
(* -1 (/ (log (/ 1 z)) a)) |
(/.f64 (log.f64 z) a) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) a) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) a) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) a) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) a) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) a) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) a) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) a) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(/ (log x) a) |
(/.f64 (log.f64 x) a) |
(+ (/ y (* a x)) (/ (log x) a)) |
(+.f64 (/.f64 (log.f64 x) a) (/.f64 y (*.f64 a x))) |
(+ (* y (+ (* -1/2 (/ y (* a (pow x 2)))) (/ 1 (* a x)))) (/ (log x) a)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) (/.f64 (log.f64 x) a)) |
(+ (* y (+ (* y (- (* 1/3 (/ y (* a (pow x 3)))) (* 1/2 (/ 1 (* a (pow x 2)))))) (/ 1 (* a x)))) (/ (log x) a)) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 a (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) (/.f64 (log.f64 x) a)) |
(* -1 (/ (log (/ 1 y)) a)) |
(/.f64 (log.f64 y) a) |
(+ (* -1 (/ (log (/ 1 y)) a)) (/ x (* a y))) |
(+.f64 (/.f64 (log.f64 y) a) (/.f64 x (*.f64 y a))) |
(+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (/ x (* a y)))) |
(+.f64 (/.f64 (log.f64 y) a) (fma.f64 x (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 a (*.f64 y y))) (/.f64 x (*.f64 y a)))) |
(+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (+ (* 1/3 (/ (pow x 3) (* a (pow y 3)))) (/ x (* a y))))) |
(+.f64 (/.f64 (log.f64 y) a) (fma.f64 x (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 a (*.f64 y y))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 a (*.f64 y y)))) (/.f64 x (*.f64 y a))))) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) a) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) a) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ x (* a y)) (/ (log -1) a))) |
(-.f64 (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) a) (/.f64 x (*.f64 y a))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) a)) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1 (/ (+ (* -1 (/ x a)) (* 1/2 (/ (pow x 2) (* a y)))) y)) (/ (log -1) a))) |
(-.f64 (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) a) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 y a)) (/.f64 x a)) y)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) a)) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* 1/3 (/ (pow x 3) (* a y)))) y))) y)) (/ (log -1) a))) |
(-.f64 (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) a) (/.f64 (-.f64 (/.f64 x (neg.f64 a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) a) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y a))) y)) y)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) a)) |
(/ (log y) a) |
(/.f64 (log.f64 y) a) |
(+ (/ x (* a y)) (/ (log y) a)) |
(+.f64 (/.f64 (log.f64 y) a) (/.f64 x (*.f64 y a))) |
(+ (* x (+ (* -1/2 (/ x (* a (pow y 2)))) (/ 1 (* a y)))) (/ (log y) a)) |
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 a (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y a))) (/.f64 (log.f64 y) a)) |
(+ (* x (+ (* x (- (* 1/3 (/ x (* a (pow y 3)))) (* 1/2 (/ 1 (* a (pow y 2)))))) (/ 1 (* a y)))) (/ (log y) a)) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y (*.f64 a (*.f64 y y)))) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y a))) (/.f64 (log.f64 y) a)) |
(* -1 (/ (log (/ 1 x)) a)) |
(/.f64 (log.f64 x) a) |
(+ (* -1 (/ (log (/ 1 x)) a)) (/ y (* a x))) |
(+.f64 (/.f64 (log.f64 x) a) (/.f64 y (*.f64 a x))) |
(+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (/ y (* a x)))) |
(+.f64 (/.f64 (log.f64 x) a) (fma.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 a (*.f64 x x))) (/.f64 y (*.f64 a x)))) |
(+ (* -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))))) |
(+.f64 (/.f64 (log.f64 x) a) (fma.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 a (*.f64 x x))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 a (*.f64 x (*.f64 x x)))) (/.f64 y (*.f64 a x))))) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) a) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) a) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ y (* a x)) (/ (log -1) a))) |
(-.f64 (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) a) (/.f64 y (*.f64 a x))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) a)) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* 1/2 (/ (pow y 2) (* a x)))) x)) (/ (log -1) a))) |
(-.f64 (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) a) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 a x)) (/.f64 y a)) x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) 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) a))) |
(-.f64 (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) a) (/.f64 (-.f64 (/.f64 y (neg.f64 a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) a) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))) (*.f64 a x))) x)) x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) a)) |
(/ (log (+ x y)) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
(/ (log (+ x y)) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
(/ (log (+ x y)) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
(/ (log (+ x y)) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
(/ (log (+ x y)) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
(/ (log (+ x y)) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
(/ (log (+ x y)) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
(/ (log (+ x y)) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
(/ (log (+ x y)) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
(/ (log (+ x y)) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
(/ (log (+ x y)) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
(/ (log (+ x y)) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
| 4 738× | lower-/.f32 |
| 4 728× | lower-/.f64 |
| 3 642× | lower-*.f32 |
| 3 636× | lower-*.f64 |
| 3 354× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 325 |
| 0 | 85 | 315 |
| 1 | 425 | 309 |
| 2 | 3954 | 303 |
| 0 | 9650 | 297 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) |
(+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(log.f64 y) |
(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))) (neg.f64 t)) |
(neg.f64 t) |
(-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
(fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) |
(/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) |
(*.f64 a (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)))) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) |
(log.f64 t) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(/.f64 (log.f64 z) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) |
(+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(+.f64 (-.f64 (log.f64 z) t) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y))) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 y)) |
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (+.f64 (-.f64 (log.f64 z) t) (log.f64 y))) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (-.f64 (log.f64 z) t)) |
(+.f64 (+.f64 (log.f64 y) (-.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(+.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) (neg.f64 t)) |
(-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) (-.f64 t (log.f64 y))) |
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (/.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) #s(literal 2 binary64)) (-.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))))) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t) |
(-.f64 (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))) t) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (+.f64 (-.f64 (log.f64 z) t) (log.f64 y))) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (+.f64 (-.f64 (log.f64 z) t) (log.f64 y))) |
(fma.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (log.f64 z) t) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (log.f64 y)) |
(fma.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t (log.f64 z)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 z) t))) (log.f64 y)) |
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t (log.f64 z))) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 y)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) (log.f64 y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)) #s(literal 2 binary64)))))) |
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(/.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) (log.f64 (/.f64 (+.f64 x y) z))) (log.f64 (/.f64 (+.f64 x y) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y))) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) (log.f64 (/.f64 z (+.f64 x y))))) (neg.f64 (log.f64 (/.f64 z (+.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) (log.f64 (/.f64 (+.f64 x y) z)))) (neg.f64 (log.f64 (/.f64 (+.f64 x y) z)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y))) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) (log.f64 (/.f64 z (+.f64 x y)))))) (neg.f64 (neg.f64 (log.f64 (/.f64 z (+.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) (log.f64 (/.f64 (+.f64 x y) z))))) (neg.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x y) z))))) |
(pow.f64 (/.f64 (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y))) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (log.f64 (/.f64 z (+.f64 x y))) (*.f64 (log.f64 (*.f64 z (+.f64 x y))) (log.f64 (/.f64 z (+.f64 x y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 x y) z)) (*.f64 (log.f64 (*.f64 z (+.f64 x y))) (log.f64 (/.f64 (+.f64 x y) z)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y))) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) (log.f64 (/.f64 z (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 x y))))) |
(*.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x y) z)))) |
(+.f64 (*.f64 a (log.f64 t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (*.f64 a (log.f64 t))) |
(fma.f64 a (log.f64 t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(fma.f64 (log.f64 t) a (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (*.f64 a (log.f64 t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (*.f64 a (log.f64 t))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a (log.f64 t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 a (log.f64 t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) (fma.f64 a a (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64))) (+.f64 a #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (fma.f64 a a (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a (log.f64 t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 a (log.f64 t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 a a (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64)))) (neg.f64 (+.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t))) (neg.f64 (fma.f64 a a (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t))) (neg.f64 (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))) (neg.f64 (+.f64 a #s(literal 1/2 binary64)))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (log.f64 z))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (log.f64 z) (neg.f64 a))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 z)) a)) |
(/.f64 (log.f64 z) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (log.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (log.f64 z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (log.f64 z))))) |
(/.f64 (neg.f64 (log.f64 z)) (neg.f64 a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (log.f64 z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (log.f64 z)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)) a) |
(/.f64 (neg.f64 (neg.f64 (log.f64 z))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (log.f64 z) #s(literal 1 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 z)))) (neg.f64 (neg.f64 (neg.f64 a)))) |
(pow.f64 (/.f64 a (log.f64 z)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 a (log.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (log.f64 z) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 z) a)) |
(*.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 z)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (log.f64 (+.f64 x y)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (log.f64 (+.f64 x y)) (neg.f64 a))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 (+.f64 x y))) a)) |
(/.f64 (log.f64 (+.f64 x y)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (log.f64 (+.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (log.f64 (+.f64 x y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (log.f64 (+.f64 x y)))))) |
(/.f64 (neg.f64 (log.f64 (+.f64 x y))) (neg.f64 a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (log.f64 (+.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (log.f64 (+.f64 x y))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) a) |
(/.f64 (neg.f64 (neg.f64 (log.f64 (+.f64 x y)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 (+.f64 x y))))) (neg.f64 (neg.f64 (neg.f64 a)))) |
(pow.f64 (/.f64 a (log.f64 (+.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 a (log.f64 (+.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (log.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 x y)) a)) |
(*.f64 (neg.f64 (log.f64 (+.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (+.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 x y))) #s(literal -1 binary64))) |
Compiled 51 133 to 3 299 computations (93.5% saved)
36 alts after pruning (35 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 703 | 30 | 1 733 |
| Fresh | 10 | 5 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 717 | 36 | 1 753 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.6% | (/.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 (+.f64 x y) z)) 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 (+.f64 x y) z)) t)))) |
| 78.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) t))) | |
| 51.9% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))) | |
| 59.9% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64))))) | |
| 78.7% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t #s(approx (* (+ a -1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))))) | |
| 69.3% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (neg.f64 (log.f64 t)) (*.f64 (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) t) t))) | |
| ▶ | 67.1% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))))) |
| ▶ | 78.8% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
| 33.1% | (+.f64 (-.f64 (+.f64 (/.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (log.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))) (log.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))) (+.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (log.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 99.6% | (+.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))))) | |
| 78.8% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 78.8% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (*.f64 t (log.f64 (*.f64 z (+.f64 x y)))) (/.f64 #s(literal 1 binary64) t) (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 99.6% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) | |
| 80.8% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 69.2% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (fma.f64 t (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (neg.f64 t))) | |
| 31.1% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 z x))) t)) | |
| 78.8% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) t)) | |
| 37.7% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 (log.f64 t) a)) | |
| 67.1% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 a (-.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 (*.f64 z (+.f64 y x))) a)) (/.f64 t a)))) | |
| 71.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t (log.f64 z))) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)))) | |
| 7.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) | |
| 16.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) | |
| 36.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) #s(literal 2 binary64)) (/.f64 (*.f64 t t) (*.f64 a a))) a) (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (/.f64 t a))))) | |
| ▶ | 99.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) |
| 36.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (+.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) #s(literal 2 binary64)) (fma.f64 t t (*.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) t)))))) | |
| 58.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))))) | |
| 86.4% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (fma.f64 t (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (/.f64 (log.f64 z) t)) (neg.f64 t))))) | |
| 44.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (neg.f64 t)))) | |
| 67.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (/.f64 t (neg.f64 a)))) a)) | |
| 64.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (fma.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 z) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log.f64 z) a) (-.f64 (/.f64 (log.f64 z) a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)))) (/.f64 (-.f64 (log.f64 (+.f64 x y)) t) a)))) | |
| 27.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) #s(literal 3 binary64)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) (fma.f64 (/.f64 t a) (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (/.f64 t a))) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) #s(literal 2 binary64)))))) | |
| 67.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 z) a) #s(literal 2 binary64))) (/.f64 a (log.f64 (+.f64 x y))) (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) (/.f64 a (log.f64 (+.f64 x y))))) (/.f64 t a)))) | |
| 65.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 z) a) #s(literal 2 binary64))) a (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) (log.f64 (+.f64 x y)))) (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) a)) (/.f64 t a)))) | |
| 37.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (*.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) #s(literal 2 binary64)) (/.f64 (*.f64 t t) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (/.f64 t a))))))) | |
| ▶ | 26.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
| ✓ | 41.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
Compiled 2 328 to 1 252 computations (46.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 320 | (*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) | |
| cost-diff | 320 | (*.f64 (+.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 320 | (fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (*.f64 (+.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 384 | (/.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 (+.f64 x y) z)) 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 (+.f64 x y) z)) t)))) | |
| cost-diff | 0 | (log.f64 (*.f64 (+.f64 x y) z)) | |
| cost-diff | 0 | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))))) | |
| cost-diff | 128 | (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) | |
| cost-diff | 1728 | (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) | |
| cost-diff | 0 | #s(approx (* (+ x y) z) (*.f64 y z)) | |
| cost-diff | 0 | (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) | |
| cost-diff | 0 | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) | |
| cost-diff | 128 | (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) | |
| cost-diff | 0 | (/.f64 t (neg.f64 a)) | |
| cost-diff | 0 | #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))) | |
| cost-diff | 0 | (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) | |
| cost-diff | 0 | (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) | |
| cost-diff | 0 | (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) | |
| cost-diff | 0 | (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) |
| 19 704× | lower-fma.f32 |
| 19 698× | lower-fma.f64 |
| 2 754× | lower-+.f32 |
| 2 744× | lower-+.f64 |
| 2 576× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 514 |
| 0 | 111 | 498 |
| 1 | 199 | 496 |
| 2 | 465 | 496 |
| 3 | 1123 | 496 |
| 4 | 2879 | 484 |
| 5 | 5662 | 484 |
| 0 | 8120 | 469 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) |
(log.f64 t) |
t |
(+.f64 a #s(literal -1/2 binary64)) |
a |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
(log.f64 z) |
z |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
(*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) |
a |
#s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))) |
(/.f64 t (neg.f64 a)) |
t |
(neg.f64 a) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) |
#s(approx (* (+ x y) z) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
(-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) |
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) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
#s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))))) |
(*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
a |
(-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) |
(/.f64 t a) |
t |
(*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) |
(log.f64 t) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
(/.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 (+.f64 x y) z)) 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 (+.f64 x y) z)) t)))) |
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (*.f64 (+.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) |
(fma.f64 a a #s(literal -1/4 binary64)) |
a |
#s(literal -1/4 binary64) |
(log.f64 t) |
t |
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
#s(literal 1 binary64) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
(*.f64 (+.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 a #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) (-.f64 (log.f64 y) t))) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) (-.f64 (log.f64 y) t)) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) |
(+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) |
(log.f64 t) |
t |
(+.f64 a #s(literal -1/2 binary64)) |
a |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
(log.f64 z) |
z |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
(*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) |
a |
#s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))) |
(/.f64 t (neg.f64 a)) |
t |
(neg.f64 a) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) t)) |
(log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) |
#s(approx (* (+ x y) z) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
(-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) |
(fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) t) |
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) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) t))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
#s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))))) |
#s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) t)) |
(*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
(fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) t) |
a |
(-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) |
(fma.f64 (log.f64 t) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 t a)) |
(/.f64 t a) |
t |
(*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) |
(log.f64 t) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
(/.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 (+.f64 x y) z)) 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 (+.f64 x y) z)) t)))) |
(*.f64 (fma.f64 (log.f64 t) (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (+.f64 a #s(literal 1/2 binary64))) (/.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (+.f64 a #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (*.f64 (+.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (log.f64 t) (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (+.f64 a #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) |
(*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64))) |
(fma.f64 a a #s(literal -1/4 binary64)) |
a |
#s(literal -1/4 binary64) |
(log.f64 t) |
t |
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
#s(literal 1 binary64) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
(*.f64 (+.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 a #s(literal 1/2 binary64)) |
(+.f64 a #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) |
(/.f64 (+.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.14453125 | (*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) | |
| accuracy | 2.9283625104363233 | (fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (*.f64 (+.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 11.756895112337169 | (/.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 (+.f64 x y) z)) 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 (+.f64 x y) z)) t)))) | |
| accuracy | 13.441177170353225 | (log.f64 (*.f64 (+.f64 x y) z)) | |
| accuracy | 0.10384750976844201 | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))))) | |
| accuracy | 0.171875 | (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) | |
| accuracy | 9.740413981113127 | (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) | |
| accuracy | 13.441177170353225 | (log.f64 (*.f64 (+.f64 x y) z)) | |
| accuracy | 0.10384750976844201 | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) | |
| accuracy | 0.1484375 | (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) | |
| accuracy | 0.9342596095470665 | #s(approx (* (+ x y) z) (*.f64 y z)) | |
| accuracy | 13.441177170353228 | (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) | |
| accuracy | 9.701362782492092 | (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) | |
| accuracy | 37.54715968310384 | #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))) | |
| accuracy | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) | |
| accuracy | 0.00390625 | (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t) | |
| accuracy | 0.2893689206941697 | (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) | |
| accuracy | 0.38979775180682585 | (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) |
| 165.0ms | 256× | 0 | valid |
Compiled 427 to 59 computations (86.2% saved)
ival-sub: 45.0ms (33.7% of total)ival-log: 36.0ms (27% of total)ival-add: 19.0ms (14.2% of total)ival-mult: 19.0ms (14.2% of total)ival-div: 12.0ms (9% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) (patch (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (patch (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) #<representation binary64>) () ()) |
#s(alt (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) (patch (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))) (patch #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))) #<representation binary64>) () ()) |
#s(alt (/.f64 t (neg.f64 a)) (patch (/.f64 t (neg.f64 a)) #<representation binary64>) () ()) |
#s(alt (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (patch (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) #<representation binary64>) () ()) |
#s(alt (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) (patch (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (patch (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) (patch (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) (patch (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))))) #<representation binary64>) () ()) |
#s(alt (log.f64 (*.f64 (+.f64 x y) z)) (patch (log.f64 (*.f64 (+.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (/.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 (+.f64 x y) z)) 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 (+.f64 x y) z)) t)))) (patch (/.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 (+.f64 x y) z)) 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 (+.f64 x y) z)) t)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (*.f64 (+.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (*.f64 (+.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (*.f64 (+.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) (patch (*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (patch (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) (taylor 0 x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) (taylor 0 x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) (taylor 0 x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t) (taylor 0 x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) (taylor inf x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) (taylor inf x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) 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 #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 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))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) (taylor inf x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) (taylor -inf x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) 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 #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 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)) (* (log t) (- a 1/2)))))) t) (taylor -inf x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 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)) (* (log t) (- a 1/2)))))) t) (taylor -inf x) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log x) (+ (log z) (* (log t) (- a 1/2)))) t) (taylor 0 y) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (- (+ (* -1 (/ (log (/ 1 z)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (/ (log (+ x y)) a))) (/ t a))) (taylor inf z) (#s(alt (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) (patch (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* -1 (/ (log (/ 1 z)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (/ (log (+ x y)) a))) (/ t a))) (taylor inf z) (#s(alt (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) (patch (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (* a (- (+ (* -1 (/ (log (/ -1 z)) a)) (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (/ t a))) (taylor -inf z) (#s(alt (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) (patch (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* a (- (+ (* (log t) (- 1 (* 1/2 (/ 1 a)))) (+ (/ (log x) a) (/ (log z) a))) (/ t a))) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) (patch (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) (taylor -inf t) (#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 -1) (* -1 (log (/ -1 t)))) (- a 1/2)) (taylor -inf t) (#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 t) (- 1 (* 1/2 (/ 1 a)))) (taylor 0 t) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (log t) (- 1 (* 1/2 (/ 1 a)))) (taylor 0 t) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (log t) (- 1 (* 1/2 (/ 1 a)))) (taylor 0 t) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (log t) (- 1 (* 1/2 (/ 1 a)))) (taylor 0 t) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) (taylor inf t) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) (taylor inf t) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) (taylor inf t) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) (taylor inf t) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) (taylor -inf t) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) (taylor -inf t) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) (taylor -inf t) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) (taylor -inf t) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (log t) a)) (taylor 0 a) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (log t)) (* a (log t))) a) (taylor 0 a) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (log t)) (* a (log t))) a) (taylor 0 a) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (log t)) (* a (log t))) a) (taylor 0 a) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (log t) (taylor inf a) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log t) (* -1/2 (/ (log t) a))) (taylor inf a) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log t) (* -1/2 (/ (log t) a))) (taylor inf a) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log t) (* -1/2 (/ (log t) a))) (taylor inf a) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (log t) (taylor -inf a) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log t) (* -1/2 (/ (log t) a))) (taylor -inf a) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log t) (* -1/2 (/ (log t) a))) (taylor -inf a) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log t) (* -1/2 (/ (log t) a))) (taylor -inf a) (#s(alt (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ()) |
237 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | -inf | (/ (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (* (+ a 1/2) (/ 1 (- (log (* (+ x y) z)) t)))) |
| 21.0ms | y | @ | inf | (/ (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (* (+ a 1/2) (/ 1 (- (log (* (+ x y) z)) t)))) |
| 8.0ms | x | @ | inf | (/ (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (* (+ a 1/2) (/ 1 (- (log (* (+ x y) z)) t)))) |
| 6.0ms | z | @ | 0 | (* (+ a 1/2) (/ 1 (- (log (* (+ x y) z)) t))) |
| 5.0ms | t | @ | -inf | (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) |
| 1× | egg-herbie |
| 5 588× | lower-+.f64 |
| 5 588× | lower-+.f32 |
| 5 536× | lower-fma.f64 |
| 5 536× | lower-fma.f32 |
| 4 666× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1972 | 27006 |
| 1 | 6659 | 25745 |
| 0 | 8367 | 24636 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (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 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 -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 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 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 -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 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 (+ 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 -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 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) |
(* 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) |
(* -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))))) |
(- (+ (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) |
(* 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)) |
(* -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 y) (+ (log z) (* (log t) (- a 1/2)))) |
(+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(* -1 t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) |
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a))))) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t) |
(- (+ (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))))) t) |
(- (+ (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))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(+ (log y) (+ (log z) (* (log t) (- a 1/2)))) |
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(+ 1/2 (+ a (/ (* (log t) (- (pow a 2) 1/4)) (- (+ (log z) (log (+ x y))) t)))) |
(+ 1/2 (+ a (/ (* (log t) (- (pow a 2) 1/4)) (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)))) |
(+ 1/2 (+ a (/ (* (log t) (- (pow a 2) 1/4)) (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)))) |
(+ 1/2 (+ a (/ (* (log t) (- (pow a 2) 1/4)) (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)))) |
(+ 1/2 (+ a (/ (* (log t) (- (pow a 2) 1/4)) (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)))) |
(+ 1/2 (+ a (/ (* (log t) (- (pow a 2) 1/4)) (- (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) t)))) |
(+ 1/2 (+ a (/ (* (log t) (- (pow a 2) 1/4)) (- (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) t)))) |
(+ 1/2 (+ a (/ (* (log t) (- (pow a 2) 1/4)) (- (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) t)))) |
(+ 1/2 (+ a (/ (* (log t) (- (pow a 2) 1/4)) (- (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) t)))) |
1/2 |
(+ 1/2 a) |
(+ 1/2 a) |
(+ 1/2 a) |
a |
(* a (+ 1 (* 1/2 (/ 1 a)))) |
(* a (+ 1 (* 1/2 (/ 1 a)))) |
(* a (+ 1 (* 1/2 (/ 1 a)))) |
a |
(* a (+ 1 (* 1/2 (/ 1 a)))) |
(* a (+ 1 (* 1/2 (/ 1 a)))) |
(* a (+ 1 (* 1/2 (/ 1 a)))) |
(/ 1/2 (- (log (* z (+ x y))) t)) |
(+ (* 1/2 (/ 1 (- (log (* z (+ x y))) t))) (/ a (- (log (* z (+ x y))) t))) |
(+ (* 1/2 (/ 1 (- (log (* z (+ x y))) t))) (/ a (- (log (* z (+ x y))) t))) |
(+ (* 1/2 (/ 1 (- (log (* z (+ x y))) t))) (/ a (- (log (* z (+ x y))) t))) |
(/ a (- (log (* z (+ x y))) t)) |
(* a (+ (* 1/2 (/ 1 (* a (- (log (* z (+ x y))) t)))) (/ 1 (- (log (* z (+ x y))) t)))) |
(* a (+ (* 1/2 (/ 1 (* a (- (log (* z (+ x y))) t)))) (/ 1 (- (log (* z (+ x y))) t)))) |
(* a (+ (* 1/2 (/ 1 (* a (- (log (* z (+ x y))) t)))) (/ 1 (- (log (* z (+ x y))) t)))) |
(/ a (- (log (* z (+ x y))) t)) |
(* a (+ (* 1/2 (/ 1 (* a (- (log (* z (+ x y))) t)))) (/ 1 (- (log (* z (+ x y))) t)))) |
(* a (+ (* 1/2 (/ 1 (* a (- (log (* z (+ x y))) t)))) (/ 1 (- (log (* z (+ x y))) t)))) |
(* a (+ (* 1/2 (/ 1 (* a (- (log (* z (+ x y))) t)))) (/ 1 (- (log (* z (+ x y))) t)))) |
(/ (+ 1/2 a) (- (log (* y z)) t)) |
(+ (* -1 (* x (+ (* 1/2 (/ 1 (* y (pow (- (log (* y z)) t) 2)))) (/ a (* y (pow (- (log (* y z)) t) 2)))))) (+ (* 1/2 (/ 1 (- (log (* y z)) t))) (/ a (- (log (* y z)) t)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (- (log (* y z)) t) 2)))) (/ a (* y (pow (- (log (* y z)) t) 2)))) (* y (- (log (* y z)) t)))) (* -1/2 (/ (+ 1/2 a) (* (pow y 2) (pow (- (log (* y z)) t) 2))))))) (+ (* 1/2 (/ 1 (* y (pow (- (log (* y z)) t) 2)))) (/ a (* y (pow (- (log (* y z)) t) 2)))))) (+ (* 1/2 (/ 1 (- (log (* y z)) t))) (/ a (- (log (* y z)) t)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (- (log (* y z)) t) 2)))) (/ a (* y (pow (- (log (* y z)) t) 2)))) (* y (- (log (* y z)) t)))) (* -1/2 (/ (+ 1/2 a) (* (pow y 2) (pow (- (log (* y z)) t) 2))))) (* y (- (log (* y z)) t)))) (+ (* 1/3 (/ (+ 1/2 a) (* (pow y 3) (pow (- (log (* y z)) t) 2)))) (* 1/2 (/ (+ (* 1/2 (/ 1 (* y (pow (- (log (* y z)) t) 2)))) (/ a (* y (pow (- (log (* y z)) t) 2)))) (* (pow y 2) (- (log (* y z)) t)))))))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (- (log (* y z)) t) 2)))) (/ a (* y (pow (- (log (* y z)) t) 2)))) (* y (- (log (* y z)) t)))) (* -1/2 (/ (+ 1/2 a) (* (pow y 2) (pow (- (log (* y z)) t) 2))))))) (+ (* 1/2 (/ 1 (* y (pow (- (log (* y z)) t) 2)))) (/ a (* y (pow (- (log (* y z)) t) 2)))))) (+ (* 1/2 (/ 1 (- (log (* y z)) t))) (/ a (- (log (* y z)) t)))) |
(/ (+ 1/2 a) (- (+ (log z) (* -1 (log (/ 1 x)))) t)) |
(+ (* -1 (/ (* y (+ 1/2 a)) (* x (pow (- (+ (log z) (* -1 (log (/ 1 x)))) t) 2)))) (+ (* 1/2 (/ 1 (- (+ (log z) (* -1 (log (/ 1 x)))) t))) (/ a (- (+ (log z) (* -1 (log (/ 1 x)))) t)))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 2) (+ 1/2 a)) (pow (- (+ (log z) (* -1 (log (/ 1 x)))) t) 3))) (* -1/2 (/ (* (pow y 2) (+ 1/2 a)) (pow (- (+ (log z) (* -1 (log (/ 1 x)))) t) 2)))) (pow x 2))) (+ (* 1/2 (/ 1 (- (+ (log z) (* -1 (log (/ 1 x)))) t))) (/ a (- (+ (log z) (* -1 (log (/ 1 x)))) t)))) (/ (* y (+ 1/2 a)) (* x (pow (- (+ (log z) (* -1 (log (/ 1 x)))) t) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* y (+ (* -1 (/ (* (pow y 2) (+ 1/2 a)) (pow (- (+ (log z) (* -1 (log (/ 1 x)))) t) 3))) (* -1/2 (/ (* (pow y 2) (+ 1/2 a)) (pow (- (+ (log z) (* -1 (log (/ 1 x)))) t) 2))))) (- (+ (log z) (* -1 (log (/ 1 x)))) t))) (+ (* 1/3 (/ (* (pow y 3) (+ 1/2 a)) (pow (- (+ (log z) (* -1 (log (/ 1 x)))) t) 2))) (* 1/2 (/ (* (pow y 3) (+ 1/2 a)) (pow (- (+ (log z) (* -1 (log (/ 1 x)))) t) 3))))) (pow x 3))) (+ (* 1/2 (/ 1 (- (+ (log z) (* -1 (log (/ 1 x)))) t))) (/ a (- (+ (log z) (* -1 (log (/ 1 x)))) t)))) (+ (* -1 (/ (* (pow y 2) (+ 1/2 a)) (* (pow x 2) (pow (- (+ (log z) (* -1 (log (/ 1 x)))) t) 3)))) (+ (* -1/2 (/ (* (pow y 2) (+ 1/2 a)) (* (pow x 2) (pow (- (+ (log z) (* -1 (log (/ 1 x)))) t) 2)))) (/ (* y (+ 1/2 a)) (* x (pow (- (+ (log z) (* -1 (log (/ 1 x)))) t) 2)))))) |
(/ (+ 1/2 a) (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t)) |
(+ (* -1 (/ (* y (+ 1/2 a)) (* x (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t) 2)))) (+ (* 1/2 (/ 1 (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t))) (/ a (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ 1/2 a)) (* x (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t) 3)))) (* -1/2 (/ (* (pow y 2) (+ 1/2 a)) (* x (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t) 2))))) (* -1 (/ (* y (+ 1/2 a)) (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t) 2)))) x)) (+ (* 1/2 (/ 1 (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t))) (/ a (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow y 3) (+ 1/2 a)) (* x (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t) 3)))) (+ (* -1/3 (/ (* (pow y 3) (+ 1/2 a)) (* x (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t) 2)))) (/ (* y (+ (* -1 (/ (* (pow y 2) (+ 1/2 a)) (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t) 3))) (* -1/2 (/ (* (pow y 2) (+ 1/2 a)) (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t) 2))))) (* x (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t))))) (+ (* -1 (/ (* (pow y 2) (+ 1/2 a)) (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t) 3))) (* -1/2 (/ (* (pow y 2) (+ 1/2 a)) (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t) 2))))) x)) (* -1 (/ (* y (+ 1/2 a)) (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t) 2)))) x)) (+ (* 1/2 (/ 1 (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t))) (/ a (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t)))) |
(/ (+ 1/2 a) (- (log (* x z)) t)) |
(+ (* -1 (* y (+ (* 1/2 (/ 1 (* x (pow (- (log (* x z)) t) 2)))) (/ a (* x (pow (- (log (* x z)) t) 2)))))) (+ (* 1/2 (/ 1 (- (log (* x z)) t))) (/ a (- (log (* x z)) t)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (- (log (* x z)) t) 2)))) (/ a (* x (pow (- (log (* x z)) t) 2)))) (* x (- (log (* x z)) t)))) (* -1/2 (/ (+ 1/2 a) (* (pow x 2) (pow (- (log (* x z)) t) 2))))))) (+ (* 1/2 (/ 1 (* x (pow (- (log (* x z)) t) 2)))) (/ a (* x (pow (- (log (* x z)) t) 2)))))) (+ (* 1/2 (/ 1 (- (log (* x z)) t))) (/ a (- (log (* x z)) t)))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (- (log (* x z)) t) 2)))) (/ a (* x (pow (- (log (* x z)) t) 2)))) (* x (- (log (* x z)) t)))) (* -1/2 (/ (+ 1/2 a) (* (pow x 2) (pow (- (log (* x z)) t) 2))))) (* x (- (log (* x z)) t)))) (+ (* 1/3 (/ (+ 1/2 a) (* (pow x 3) (pow (- (log (* x z)) t) 2)))) (* 1/2 (/ (+ (* 1/2 (/ 1 (* x (pow (- (log (* x z)) t) 2)))) (/ a (* x (pow (- (log (* x z)) t) 2)))) (* (pow x 2) (- (log (* x z)) t)))))))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (- (log (* x z)) t) 2)))) (/ a (* x (pow (- (log (* x z)) t) 2)))) (* x (- (log (* x z)) t)))) (* -1/2 (/ (+ 1/2 a) (* (pow x 2) (pow (- (log (* x z)) t) 2))))))) (+ (* 1/2 (/ 1 (* x (pow (- (log (* x z)) t) 2)))) (/ a (* x (pow (- (log (* x z)) t) 2)))))) (+ (* 1/2 (/ 1 (- (log (* x z)) t))) (/ a (- (log (* x z)) t)))) |
(/ (+ 1/2 a) (- (+ (log z) (* -1 (log (/ 1 y)))) t)) |
(+ (* -1 (/ (* x (+ 1/2 a)) (* y (pow (- (+ (log z) (* -1 (log (/ 1 y)))) t) 2)))) (+ (* 1/2 (/ 1 (- (+ (log z) (* -1 (log (/ 1 y)))) t))) (/ a (- (+ (log z) (* -1 (log (/ 1 y)))) t)))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 a)) (pow (- (+ (log z) (* -1 (log (/ 1 y)))) t) 3))) (* -1/2 (/ (* (pow x 2) (+ 1/2 a)) (pow (- (+ (log z) (* -1 (log (/ 1 y)))) t) 2)))) (pow y 2))) (+ (* 1/2 (/ 1 (- (+ (log z) (* -1 (log (/ 1 y)))) t))) (/ a (- (+ (log z) (* -1 (log (/ 1 y)))) t)))) (/ (* x (+ 1/2 a)) (* y (pow (- (+ (log z) (* -1 (log (/ 1 y)))) t) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (* (pow x 2) (+ 1/2 a)) (pow (- (+ (log z) (* -1 (log (/ 1 y)))) t) 3))) (* -1/2 (/ (* (pow x 2) (+ 1/2 a)) (pow (- (+ (log z) (* -1 (log (/ 1 y)))) t) 2))))) (- (+ (log z) (* -1 (log (/ 1 y)))) t))) (+ (* 1/3 (/ (* (pow x 3) (+ 1/2 a)) (pow (- (+ (log z) (* -1 (log (/ 1 y)))) t) 2))) (* 1/2 (/ (* (pow x 3) (+ 1/2 a)) (pow (- (+ (log z) (* -1 (log (/ 1 y)))) t) 3))))) (pow y 3))) (+ (* 1/2 (/ 1 (- (+ (log z) (* -1 (log (/ 1 y)))) t))) (/ a (- (+ (log z) (* -1 (log (/ 1 y)))) t)))) (+ (* -1 (/ (* (pow x 2) (+ 1/2 a)) (* (pow y 2) (pow (- (+ (log z) (* -1 (log (/ 1 y)))) t) 3)))) (+ (* -1/2 (/ (* (pow x 2) (+ 1/2 a)) (* (pow y 2) (pow (- (+ (log z) (* -1 (log (/ 1 y)))) t) 2)))) (/ (* x (+ 1/2 a)) (* y (pow (- (+ (log z) (* -1 (log (/ 1 y)))) t) 2)))))) |
(/ (+ 1/2 a) (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t)) |
(+ (* -1 (/ (* x (+ 1/2 a)) (* y (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t) 2)))) (+ (* 1/2 (/ 1 (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t))) (/ a (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 a)) (* y (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t) 3)))) (* -1/2 (/ (* (pow x 2) (+ 1/2 a)) (* y (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t) 2))))) (* -1 (/ (* x (+ 1/2 a)) (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t) 2)))) y)) (+ (* 1/2 (/ 1 (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t))) (/ a (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (+ 1/2 a)) (* y (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t) 3)))) (+ (* -1/3 (/ (* (pow x 3) (+ 1/2 a)) (* y (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t) 2)))) (/ (* x (+ (* -1 (/ (* (pow x 2) (+ 1/2 a)) (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t) 3))) (* -1/2 (/ (* (pow x 2) (+ 1/2 a)) (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t) 2))))) (* y (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t))))) (+ (* -1 (/ (* (pow x 2) (+ 1/2 a)) (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t) 3))) (* -1/2 (/ (* (pow x 2) (+ 1/2 a)) (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t) 2))))) y)) (* -1 (/ (* x (+ 1/2 a)) (pow (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t) 2)))) y)) (+ (* 1/2 (/ 1 (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t))) (/ a (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t)))) |
(/ (+ 1/2 a) (- (+ (log z) (log (+ x y))) t)) |
(/ (+ 1/2 a) (- (+ (log z) (log (+ x y))) t)) |
(/ (+ 1/2 a) (- (+ (log z) (log (+ x y))) t)) |
(/ (+ 1/2 a) (- (+ (log z) (log (+ x y))) t)) |
(/ (+ 1/2 a) (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)) |
(/ (+ 1/2 a) (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)) |
(/ (+ 1/2 a) (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)) |
(/ (+ 1/2 a) (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)) |
(/ (+ 1/2 a) (- (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) t)) |
(/ (+ 1/2 a) (- (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) t)) |
(/ (+ 1/2 a) (- (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) t)) |
(/ (+ 1/2 a) (- (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) t)) |
(/ (+ 1/2 a) (log (* z (+ x y)))) |
(+ (* 1/2 (/ 1 (log (* z (+ x y))))) (+ (/ a (log (* z (+ x y)))) (/ (* t (+ 1/2 a)) (pow (log (* z (+ x y))) 2)))) |
(+ (* t (- (/ (* t (+ 1/2 a)) (pow (log (* z (+ x y))) 3)) (* -1 (/ (+ 1/2 a) (pow (log (* z (+ x y))) 2))))) (+ (* 1/2 (/ 1 (log (* z (+ x y))))) (/ a (log (* z (+ x y)))))) |
(+ (* t (- (* t (- (/ (* t (+ 1/2 a)) (pow (log (* z (+ x y))) 4)) (* -1 (/ (+ 1/2 a) (pow (log (* z (+ x y))) 3))))) (* -1 (/ (+ 1/2 a) (pow (log (* z (+ x y))) 2))))) (+ (* 1/2 (/ 1 (log (* z (+ x y))))) (/ a (log (* z (+ x y)))))) |
(* -1 (/ (+ 1/2 a) t)) |
(/ (+ (* -1 (+ 1/2 a)) (* -1 (/ (* (log (* z (+ x y))) (+ 1/2 a)) t))) t) |
(/ (- (+ (* -1 (+ 1/2 a)) (* -1 (/ (* (pow (log (* z (+ x y))) 2) (+ 1/2 a)) (pow t 2)))) (/ (* (log (* z (+ x y))) (+ 1/2 a)) t)) t) |
(/ (- (+ (* -1 (+ 1/2 a)) (* -1 (/ (* (pow (log (* z (+ x y))) 3) (+ 1/2 a)) (pow t 3)))) (+ (/ (* (log (* z (+ x y))) (+ 1/2 a)) t) (/ (* (pow (log (* z (+ x y))) 2) (+ 1/2 a)) (pow t 2)))) t) |
(* -1 (/ (+ 1/2 a) t)) |
(* -1 (/ (+ 1/2 (+ a (/ (* (log (* z (+ x y))) (+ 1/2 a)) t))) t)) |
(* -1 (/ (+ 1/2 (+ a (* -1 (/ (- (* -1 (/ (* (pow (log (* z (+ x y))) 2) (+ 1/2 a)) t)) (* (log (* z (+ x y))) (+ 1/2 a))) t)))) t)) |
(* -1 (/ (+ 1/2 (+ a (* -1 (/ (- (* -1 (/ (- (/ (* (pow (log (* z (+ x y))) 3) (+ 1/2 a)) t) (* -1 (* (pow (log (* z (+ x y))) 2) (+ 1/2 a)))) t)) (* (log (* z (+ x y))) (+ 1/2 a))) t)))) t)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1/2 (log t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(* a (log t)) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* -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))) |
(* (+ (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 t) (- 1 (* 1/2 (/ 1 a)))) |
(* (log t) (- 1 (* 1/2 (/ 1 a)))) |
(* (log t) (- 1 (* 1/2 (/ 1 a)))) |
(* (log t) (- 1 (* 1/2 (/ 1 a)))) |
(* -1 (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) |
(* -1 (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) |
(* -1 (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) |
(* -1 (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) |
(* -1/2 (/ (log t) a)) |
(/ (+ (* -1/2 (log t)) (* a (log t))) a) |
(/ (+ (* -1/2 (log t)) (* a (log t))) a) |
(/ (+ (* -1/2 (log t)) (* a (log t))) a) |
(log t) |
(+ (log t) (* -1/2 (/ (log t) a))) |
(+ (log t) (* -1/2 (/ (log t) a))) |
(+ (log t) (* -1/2 (/ (log t) a))) |
(log t) |
(+ (log t) (* -1/2 (/ (log t) a))) |
(+ (log t) (* -1/2 (/ (log t) a))) |
(+ (log t) (* -1/2 (/ (log t) a))) |
| Outputs |
|---|
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 y) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) t)) |
(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(+.f64 (log.f64 y) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) (/.f64 x y)) t)) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(-.f64 (+.f64 (+.f64 (log.f64 y) (log.f64 z)) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) 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) |
(-.f64 (+.f64 (+.f64 (log.f64 y) (log.f64 z)) (fma.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 z) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 x)) t)) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(-.f64 (+.f64 (+.f64 (log.f64 z) (log.f64 x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (/.f64 y x))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(+.f64 (log.f64 z) (-.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (/.f64 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) |
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(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 a) |
(+.f64 a #s(literal 1/2 binary64)) |
(+ 1/2 a) |
(+.f64 a #s(literal 1/2 binary64)) |
(+ 1/2 a) |
(+.f64 a #s(literal 1/2 binary64)) |
a |
(* a (+ 1 (* 1/2 (/ 1 a)))) |
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(* a (+ 1 (* 1/2 (/ 1 a)))) |
(+.f64 a (*.f64 a (/.f64 #s(literal 1/2 binary64) a))) |
(* a (+ 1 (* 1/2 (/ 1 a)))) |
(+.f64 a (*.f64 a (/.f64 #s(literal 1/2 binary64) a))) |
a |
(* a (+ 1 (* 1/2 (/ 1 a)))) |
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(* a (+ 1 (* 1/2 (/ 1 a)))) |
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(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1/2 (log t)) |
(*.f64 (log.f64 t) #s(literal -1/2 binary64)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a) (log.f64 t))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a) (log.f64 t))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a) (log.f64 t))) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) |
(* (log t) (- 1 (* 1/2 (/ 1 a)))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(* (log t) (- 1 (* 1/2 (/ 1 a)))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(* (log t) (- 1 (* 1/2 (/ 1 a)))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(* (log t) (- 1 (* 1/2 (/ 1 a)))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(* -1 (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(* -1 (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(* -1 (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(* -1 (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(* -1/2 (/ (log t) a)) |
(/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) |
(/ (+ (* -1/2 (log t)) (* a (log t))) a) |
(/.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) a) |
(/ (+ (* -1/2 (log t)) (* a (log t))) a) |
(/.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) a) |
(/ (+ (* -1/2 (log t)) (* a (log t))) a) |
(/.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) a) |
(log t) |
(log.f64 t) |
(+ (log t) (* -1/2 (/ (log t) a))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a) (log.f64 t)) |
(+ (log t) (* -1/2 (/ (log t) a))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a) (log.f64 t)) |
(+ (log t) (* -1/2 (/ (log t) a))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a) (log.f64 t)) |
(log t) |
(log.f64 t) |
(+ (log t) (* -1/2 (/ (log t) a))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a) (log.f64 t)) |
(+ (log t) (* -1/2 (/ (log t) a))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a) (log.f64 t)) |
(+ (log t) (* -1/2 (/ (log t) a))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a) (log.f64 t)) |
| 3 948× | lower-*.f32 |
| 3 930× | lower-*.f64 |
| 3 580× | lower-fma.f32 |
| 3 574× | lower-fma.f64 |
| 3 196× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 378 |
| 0 | 111 | 364 |
| 1 | 496 | 358 |
| 2 | 4457 | 358 |
| 0 | 8328 | 347 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t)) |
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) t) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (log.f64 z)) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
(*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) |
#s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))) |
(/.f64 t (neg.f64 a)) |
(-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) |
#s(approx (* (+ x y) z) (*.f64 y z)) |
(*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
(-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(/.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 (+.f64 x y) z)) 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 (+.f64 x y) z)) t)))) |
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (*.f64 (+.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.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 (+.f64 x y) z)) t))) |
(neg.f64 a) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) |
(*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) t)) |
(+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (-.f64 (log.f64 z) t)) |
(+.f64 (log.f64 z) (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (neg.f64 t))) |
(+.f64 (log.f64 z) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) t)) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) (neg.f64 t)) |
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (+.f64 (log.f64 y) (-.f64 (log.f64 z) t))) |
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (+.f64 (log.f64 (*.f64 y z)) (neg.f64 t))) |
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 y z)) t)) |
(+.f64 (neg.f64 t) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z)))) |
(+.f64 (-.f64 (log.f64 z) t) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y))) |
(-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) t) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 3 binary64)) (fma.f64 t (+.f64 t (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z)))) (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 2 binary64)))) (/.f64 (*.f64 t (*.f64 t t)) (fma.f64 t (+.f64 t (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z)))) (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 2 binary64)) (+.f64 t (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))))) (/.f64 (*.f64 t t) (+.f64 t (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z)))))) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (+.f64 (log.f64 y) (-.f64 (log.f64 z) t))) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (+.f64 (log.f64 (*.f64 y z)) (neg.f64 t))) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 (*.f64 y z)) t)) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (+.f64 (log.f64 y) (-.f64 (log.f64 z) t))) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (+.f64 (log.f64 (*.f64 y z)) (neg.f64 t))) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) |
(fma.f64 #s(literal -1 binary64) t (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z)))) |
(fma.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 z) (-.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y))) (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)))) (neg.f64 t)) |
(fma.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 (log.f64 y) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (-.f64 (log.f64 z) t)) |
(fma.f64 (*.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (/.f64 y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (/.f64 y z)))) (neg.f64 t)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y))) (-.f64 (log.f64 z) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (+.f64 t (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z)))) (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z)))) (-.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 2 binary64)) (*.f64 t t)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (fma.f64 t (+.f64 t (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z)))) (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 t (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 3 binary64)) (*.f64 t (*.f64 t t)))) (neg.f64 (fma.f64 t (+.f64 t (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z)))) (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 2 binary64)) (*.f64 t t))) (neg.f64 (+.f64 t (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (*.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) (-.f64 (log.f64 z) t))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) (+.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 t) (neg.f64 t)) (*.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) (neg.f64 t))))) |
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(+.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(-.f64 a #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 a #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) a #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 a) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 a) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/2 binary64))) (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/2 binary64)) (fma.f64 a a #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64)) (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 a #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64))) (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1/4 binary64))) (+.f64 a #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 a a #s(literal -1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)) (fma.f64 a a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 1/2 binary64) a)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/2 binary64))) (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 a #s(literal -1/2 binary64)) (fma.f64 a a #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) |
(*.f64 (+.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/2 binary64))))) |
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (fma.f64 a a #s(literal -1/4 binary64))) (+.f64 a #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) a) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) a)) |
(+.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) (*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) |
(fma.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) a (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (+.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(/.f64 (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64)) (*.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (*.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (+.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64))) (*.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1/4 binary64))) (*.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (+.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64))) (*.f64 (neg.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 a a #s(literal -1/4 binary64))) (*.f64 (neg.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (+.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/2 binary64))) (neg.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) |
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) |
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (neg.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) |
(/.f64 (neg.f64 (+.f64 a #s(literal 1/2 binary64))) (neg.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/2 binary64))) (neg.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (fma.f64 a a #s(literal -1/4 binary64))) (+.f64 a #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) (+.f64 a #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64))) (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (+.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 (+.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (+.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (+.f64 a #s(literal 1/2 binary64))) |
(*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) |
(*.f64 (/.f64 (+.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (+.f64 a #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (*.f64 t (*.f64 t t)))) (fma.f64 t (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 a #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t))) (+.f64 t (log.f64 (*.f64 (+.f64 x y) z)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 a)) |
(-.f64 #s(literal 0 binary64) a) |
(neg.f64 a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)) |
(*.f64 a #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) a) |
(+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (*.f64 a (log.f64 t))) |
(+.f64 (*.f64 a (log.f64 t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(fma.f64 a (log.f64 t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(fma.f64 (log.f64 t) a (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (*.f64 a (log.f64 t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (*.f64 a (log.f64 t))) |
(/.f64 (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64))) (+.f64 a #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a (log.f64 t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 a (log.f64 t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (-.f64 (fma.f64 a a #s(literal 1/4 binary64)) (*.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) |
(+.f64 (log.f64 t) (/.f64 (log.f64 t) (*.f64 a #s(literal -2 binary64)))) |
(+.f64 (/.f64 (log.f64 t) (*.f64 a #s(literal -2 binary64))) (log.f64 t)) |
(fma.f64 (log.f64 t) #s(literal 1 binary64) (/.f64 (log.f64 t) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (log.f64 t) (/.f64 #s(literal -1/2 binary64) a) (log.f64 t)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 t)) (log.f64 t)) |
(fma.f64 #s(literal 1 binary64) (log.f64 t) (/.f64 (log.f64 t) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 t)) |
(fma.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (log.f64 t)) |
(/.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 t) (*.f64 a #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (log.f64 t) (*.f64 a #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 t) (/.f64 (log.f64 t) (*.f64 a #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 t) (*.f64 a #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (log.f64 t) (/.f64 (log.f64 t) (*.f64 a #s(literal -2 binary64))))) |
(/.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a a))))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a a)))) (log.f64 t)) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a))) (log.f64 t)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) |
(*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (log.f64 t)) |
Compiled 52 868 to 3 389 computations (93.6% saved)
46 alts after pruning (44 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 472 | 21 | 1 493 |
| Fresh | 7 | 23 | 30 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 483 | 46 | 1 529 |
| Status | Accuracy | Program |
|---|---|---|
| 59.6% | (/.f64 (fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) | |
| 36.8% | (/.f64 #s(approx (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) | |
| 78.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) t))) | |
| 78.7% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t #s(approx (* (+ a -1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))))) | |
| 69.3% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (neg.f64 (log.f64 t)) (*.f64 (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) t) t))) | |
| 36.9% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 a a)) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64))) a) (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 t a))))) | |
| 31.1% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a))) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 t a)) (/.f64 (*.f64 t t) (*.f64 a a))))))) | |
| 37.6% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (*.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 a a)) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 t a))))))) | |
| ▶ | 25.6% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
| 44.0% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (*.f64 (neg.f64 (log.f64 t)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))))))) | |
| 51.9% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))) | |
| 59.9% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (/.f64 (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64))) (+.f64 a #s(literal 1/2 binary64))))) | |
| 49.2% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) | |
| 44.4% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (neg.f64 (log.f64 t))))) | |
| 69.2% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 t (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) #s(literal 1 binary64))))) | |
| 33.1% | (+.f64 (-.f64 (+.f64 (/.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (log.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))) (log.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))) (+.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (log.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 99.6% | (+.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))))) | |
| ▶ | 78.8% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| ▶ | 99.6% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
| 80.8% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 37.7% | #s(approx (/ (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (* (+ a 1/2) (/ 1 (- (log (* (+ x y) z)) t)))) (*.f64 (log.f64 t) a)) | |
| 69.2% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (fma.f64 t (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (neg.f64 t))) | |
| 31.1% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 z x))) t)) | |
| 78.8% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) t)) | |
| 69.2% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t) (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal -1 binary64))))) | |
| 67.1% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 a (-.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 (*.f64 z (+.f64 y x))) a)) (/.f64 t a)))) | |
| 71.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t (log.f64 z))) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)))) | |
| 7.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) | |
| 16.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) | |
| ▶ | 62.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t)) |
| 80.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)) | |
| 78.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 (log.f64 t) a)) t)) | |
| 36.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (+.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) #s(literal 2 binary64)) (fma.f64 t t (*.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) t)))))) | |
| 58.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))))) | |
| 86.4% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (fma.f64 t (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (/.f64 (log.f64 z) t)) (neg.f64 t))))) | |
| 44.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (neg.f64 t)))) | |
| 67.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (/.f64 t (neg.f64 a)))) a)) | |
| 64.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (fma.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 z) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log.f64 z) a) (-.f64 (/.f64 (log.f64 z) a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)))) (/.f64 (-.f64 (log.f64 (+.f64 x y)) t) a)))) | |
| 67.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 z) a) #s(literal 2 binary64))) (/.f64 a (log.f64 (+.f64 x y))) (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) (/.f64 a (log.f64 (+.f64 x y))))) (/.f64 t a)))) | |
| 65.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 z) a) #s(literal 2 binary64))) a (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) (log.f64 (+.f64 x y)))) (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) a)) (/.f64 t a)))) | |
| 17.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))))) | |
| 22.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))))) | |
| ✓ | 26.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
| 26.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 #s(literal -1 binary64) (/.f64 a t))))) | |
| ▶ | 26.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) |
| ✓ | 41.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
Compiled 2 579 to 1 452 computations (43.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) | |
| cost-diff | 0 | (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t)) | |
| cost-diff | 0 | (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) | |
| cost-diff | 0 | #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) | |
| cost-diff | 128 | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| cost-diff | 1024 | (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) z) | |
| cost-diff | 0 | (log.f64 (*.f64 (+.f64 x y) z)) | |
| cost-diff | 0 | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) | |
| cost-diff | 0 | #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)) | |
| cost-diff | 0 | (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t))) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) a) t) | |
| cost-diff | 0 | #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) | |
| cost-diff | 0 | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) | |
| cost-diff | 1024 | (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) | |
| cost-diff | 1024 | (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t)) |
| 14 148× | lower-fma.f32 |
| 14 142× | lower-fma.f64 |
| 2 372× | lower-*.f32 |
| 2 356× | lower-*.f64 |
| 2 326× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 605 |
| 0 | 118 | 593 |
| 1 | 213 | 593 |
| 2 | 423 | 583 |
| 3 | 909 | 573 |
| 4 | 2068 | 565 |
| 5 | 4291 | 565 |
| 6 | 7088 | 565 |
| 0 | 8089 | 549 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) |
(fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t)) |
t |
(/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(log.f64 z) |
z |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(neg.f64 t) |
#s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) |
(*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) |
(*.f64 (log.f64 t) a) |
(log.f64 t) |
a |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) |
#s(literal 1 binary64) |
(/.f64 #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 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) |
(*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t))) |
a |
#s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) t) |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
t |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
#s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a)))) |
(*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))) |
a |
#s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a)) |
(/.f64 t a) |
t |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) |
(fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t)) |
(/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) |
(log.f64 (*.f64 z (+.f64 x y))) |
(*.f64 z (+.f64 x y)) |
z |
(+.f64 x y) |
x |
y |
t |
(neg.f64 t) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t)) |
(-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t) |
(+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) |
#s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y)) |
(log.f64 t) |
t |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
(log.f64 z) |
z |
| Outputs |
|---|
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))) |
(fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
t |
(/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) |
(/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) t) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(log.f64 z) |
z |
(log.f64 (+.f64 y x)) |
(log.f64 (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(neg.f64 t) |
#s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) |
#s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(*.f64 (log.f64 t) a) |
(*.f64 a (log.f64 t)) |
(log.f64 t) |
a |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) |
#s(literal 1 binary64) |
(/.f64 #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 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
(*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t))) |
(*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a)))) |
a |
#s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)) |
#s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) t) |
(/.f64 t (neg.f64 a)) |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
t |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(-.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(log.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 x y)) |
(+.f64 x y) |
x |
y |
z |
#s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a)))) |
(*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))) |
a |
#s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a)) |
(/.f64 t a) |
t |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) #s(approx (- (+ (log (+ x y)) (log z)) t) (-.f64 (log.f64 (*.f64 z (+.f64 x y))) t))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (-.f64 (log.f64 (*.f64 z (+.f64 x y))) t)) |
(fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 x y))) t) |
(/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) |
(log.f64 (*.f64 z (+.f64 x y))) |
(*.f64 z (+.f64 x y)) |
z |
(+.f64 x y) |
x |
y |
t |
(neg.f64 t) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(-.f64 a #s(literal 1/2 binary64)) |
(+.f64 a #s(literal -1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (-.f64 (log.f64 z) t))) |
(-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t) |
(+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (-.f64 (log.f64 z) t)) |
(+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) |
(+.f64 (log.f64 z) #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y)))) |
#s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y)) |
(log.f64 t) |
t |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
(log.f64 z) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t) | |
| accuracy | 0.2893689206941697 | (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) | |
| accuracy | 0.47477227497834457 | (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y)) | |
| accuracy | 31.478874557763344 | #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) | |
| accuracy | 0.1484375 | (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t)) | |
| accuracy | 0.1484375 | (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) | |
| accuracy | 0.27734375 | (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) | |
| accuracy | 13.441177170353228 | (log.f64 (*.f64 z (+.f64 x y))) | |
| accuracy | 0.10384750976844201 | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) | |
| accuracy | 9.740413981113127 | (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))) | |
| accuracy | 13.441177170353228 | (log.f64 (*.f64 (+.f64 x y) z)) | |
| accuracy | 37.52335409213251 | #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a)) | |
| accuracy | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) | |
| accuracy | 0.234375 | (*.f64 (/.f64 #s(literal -1 binary64) a) t) | |
| accuracy | 9.701362782492092 | (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t))) | |
| accuracy | 37.54715968310384 | #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)) | |
| accuracy | 0.1875 | (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) | |
| accuracy | 0.27734375 | (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) | |
| accuracy | 0.2890625 | (*.f64 (log.f64 t) a) | |
| accuracy | 0.6183992901762467 | (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
| 109.0ms | 256× | 0 | valid |
Compiled 400 to 61 computations (84.8% saved)
ival-log: 22.0ms (27.1% of total)ival-mult: 21.0ms (25.9% of total)ival-add: 15.0ms (18.5% of total)ival-div: 12.0ms (14.8% of total)ival-sub: 9.0ms (11.1% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t)) (patch (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) (patch #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) a) t) (patch (*.f64 (/.f64 #s(literal -1 binary64) a) t) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) #<representation binary64>) () ()) |
#s(alt (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t))) (patch (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)) (patch #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)) #<representation binary64>) () ()) |
#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) #<representation binary64>) () ()) |
#s(alt (log.f64 (*.f64 (+.f64 x y) z)) (patch (log.f64 (*.f64 (+.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t)) (patch (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (patch #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (patch (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t) (patch (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) (patch (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (patch #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) #<representation binary64>) () ()) |
#s(alt (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) (patch (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 t) a) (patch (*.f64 (log.f64 t) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (patch (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a)) (patch #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a)) #<representation binary64>) () ()) |
#s(alt (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))) (patch (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))) #<representation binary64>) () ()) |
#s(alt (log.f64 (*.f64 z (+.f64 x y))) (patch (log.f64 (*.f64 z (+.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>) () ()) |
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| Outputs |
|---|
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#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 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t) (taylor 0 y) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* (log t) (- a 1/2)) (/ x y)))) t) (taylor inf y) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* (log t) (- a 1/2)) (/ x y))))) t) (taylor inf y) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (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) (taylor inf y) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t) (taylor -inf y) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* (log t) (- a 1/2)) (/ x y))))) t) (taylor -inf y) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* (log t) (- a 1/2)))))) t) (taylor -inf y) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) (taylor 0 z) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) (taylor 0 z) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) (taylor inf z) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) (taylor inf z) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) (taylor inf z) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/2 (log t)))) (taylor -inf y) (#s(alt (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y)) (patch (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/2 (log t)))) (taylor -inf y) (#s(alt (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y)) (patch (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y)) #<representation binary64>) () ())) ()) |
294 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | t | @ | 0 | (/ (log (* z (+ x y))) t) |
| 12.0ms | a | @ | 0 | (* (log t) a) |
| 5.0ms | t | @ | inf | (/ (log (* z (+ x y))) t) |
| 0.0ms | z | @ | -inf | (/ (log (* z (+ x y))) t) |
| 0.0ms | t | @ | inf | (* (* (log t) a) (+ 1 (/ -1/2 a))) |
| 1× | egg-herbie |
| 9 650× | lower-fma.f64 |
| 9 650× | lower-fma.f32 |
| 6 706× | lower-+.f64 |
| 6 706× | lower-+.f32 |
| 4 024× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1017 | 19909 |
| 1 | 3114 | 19061 |
| 0 | 8210 | 18295 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (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) |
(* 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 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 z) (log (+ x y))) t) |
(- (+ (log z) (log (+ x y))) t) |
(- (+ (log z) (log (+ x y))) t) |
(- (+ (log z) (log (+ x y))) 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 -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 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 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 -1) (+ (log z) (* -1 (log (/ -1 y))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) t) |
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(/ (+ (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 (+ 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 -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 x) (log z)) t) |
(+ (/ y (* t x)) (+ (/ (log x) t) (/ (log z) t))) |
(+ (* y (+ (* -1/2 (/ y (* t (pow x 2)))) (/ 1 (* t x)))) (+ (/ (log x) t) (/ (log z) t))) |
(+ (* y (+ (* y (- (* 1/3 (/ y (* t (pow x 3)))) (* 1/2 (/ 1 (* t (pow x 2)))))) (/ 1 (* t x)))) (+ (/ (log x) t) (/ (log z) t))) |
(/ (+ (log z) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ x (* t y)) (/ (log z) t))) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (* -1/2 (/ (pow x 2) (* t (pow y 2)))) (+ (/ x (* t y)) (/ (log z) t)))) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (* -1/2 (/ (pow x 2) (* t (pow y 2)))) (+ (* 1/3 (/ (pow x 3) (* t (pow y 3)))) (+ (/ x (* t y)) (/ (log z) t))))) |
(/ (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ x (* t y)) (+ (/ (log -1) t) (/ (log z) t)))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* -1 (/ x t)) (* 1/2 (/ (pow x 2) (* t y)))) y)) (+ (/ (log -1) t) (/ (log z) t)))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* -1 (/ x t)) (* -1 (/ (+ (* -1/2 (/ (pow x 2) t)) (* 1/3 (/ (pow x 3) (* t y)))) y))) y)) (+ (/ (log -1) t) (/ (log z) t)))) |
(/ (+ (log y) (log z)) t) |
(+ (/ x (* t y)) (+ (/ (log y) t) (/ (log z) t))) |
(+ (* x (+ (* -1/2 (/ x (* t (pow y 2)))) (/ 1 (* t y)))) (+ (/ (log y) t) (/ (log z) t))) |
(+ (* x (+ (* x (- (* 1/3 (/ x (* t (pow y 3)))) (* 1/2 (/ 1 (* t (pow y 2)))))) (/ 1 (* t y)))) (+ (/ (log y) t) (/ (log z) t))) |
(/ (+ (log z) (* -1 (log (/ 1 x)))) t) |
(+ (* -1 (/ (log (/ 1 x)) t)) (+ (/ y (* t x)) (/ (log z) t))) |
(+ (* -1 (/ (log (/ 1 x)) t)) (+ (* -1/2 (/ (pow y 2) (* t (pow x 2)))) (+ (/ y (* t x)) (/ (log z) t)))) |
(+ (* -1 (/ (log (/ 1 x)) t)) (+ (* -1/2 (/ (pow y 2) (* t (pow x 2)))) (+ (* 1/3 (/ (pow y 3) (* t (pow x 3)))) (+ (/ y (* t x)) (/ (log z) t))))) |
(/ (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t) |
(+ (* -1 (/ (log (/ -1 x)) 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)) (+ (/ (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)) (+ (/ (log -1) t) (/ (log z) 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))) 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))) t) |
(/ (+ (log z) (log (+ x y))) t) |
(/ (+ (log z) (log (+ x y))) t) |
(* -1 (* (log t) (- 1 (* 1/2 (/ 1 a))))) |
(- (/ t a) (* (log t) (- 1 (* 1/2 (/ 1 a))))) |
(- (/ t a) (* (log t) (- 1 (* 1/2 (/ 1 a))))) |
(- (/ t a) (* (log t) (- 1 (* 1/2 (/ 1 a))))) |
(/ t a) |
(* t (+ (/ 1 a) (/ (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a)))) t))) |
(* t (+ (/ 1 a) (/ (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a)))) t))) |
(* t (+ (/ 1 a) (/ (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a)))) t))) |
(/ t a) |
(* -1 (* t (- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) t) (/ 1 a)))) |
(* -1 (* t (- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) t) (/ 1 a)))) |
(* -1 (* t (- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a)))) t) (/ 1 a)))) |
(/ (- t (* -1/2 (log t))) a) |
(/ (- (+ t (* -1 (* a (log t)))) (* -1/2 (log t))) a) |
(/ (- (+ t (* -1 (* a (log t)))) (* -1/2 (log t))) a) |
(/ (- (+ t (* -1 (* a (log t)))) (* -1/2 (log t))) a) |
(* -1 (log t)) |
(- (/ t a) (+ (log t) (* -1/2 (/ (log t) a)))) |
(- (/ t a) (+ (log t) (* -1/2 (/ (log t) a)))) |
(- (/ t a) (+ (log t) (* -1/2 (/ (log t) a)))) |
(* -1 (log t)) |
(- (* -1 (/ (- (* -1 t) (* 1/2 (log t))) a)) (log t)) |
(- (* -1 (/ (- (* -1 t) (* 1/2 (log t))) a)) (log t)) |
(- (* -1 (/ (- (* -1 t) (* 1/2 (log t))) a)) (log t)) |
(- t (* -1/2 (log t))) |
(- (+ t (* -1 (* a (log t)))) (* -1/2 (log t))) |
(- (+ t (* -1 (* a (log t)))) (* -1/2 (log t))) |
(- (+ t (* -1 (* a (log t)))) (* -1/2 (log t))) |
(* -1 (* a (log t))) |
(* a (- (+ (* -1 (log t)) (/ t a)) (* -1/2 (/ (log t) a)))) |
(* a (- (+ (* -1 (log t)) (/ t a)) (* -1/2 (/ (log t) a)))) |
(* a (- (+ (* -1 (log t)) (/ t a)) (* -1/2 (/ (log t) a)))) |
(* -1 (* a (log t))) |
(* -1 (* a (- (+ (log t) (* -1 (/ t a))) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (- (+ (log t) (* -1 (/ t a))) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (- (+ (log t) (* -1 (/ t a))) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (* (log t) (- 1 (* 1/2 (/ 1 a)))))) |
(+ t (* -1 (* a (* (log t) (- 1 (* 1/2 (/ 1 a))))))) |
(+ t (* -1 (* a (* (log t) (- 1 (* 1/2 (/ 1 a))))))) |
(+ t (* -1 (* a (* (log t) (- 1 (* 1/2 (/ 1 a))))))) |
t |
(* t (+ 1 (/ (* a (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) t))) |
(* t (+ 1 (/ (* a (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) t))) |
(* t (+ 1 (/ (* a (* (log (/ 1 t)) (- 1 (* 1/2 (/ 1 a))))) t))) |
t |
(* -1 (* t (- (/ (* a (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a))))) t) 1))) |
(* -1 (* t (- (/ (* a (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a))))) t) 1))) |
(* -1 (* t (- (/ (* a (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a))))) t) 1))) |
(+ (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 (+ x y)) (* -1 (log (/ 1 z)))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) |
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) |
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) |
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) |
(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)))) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) |
(log (* x z)) |
(+ (log (* x z)) (/ y x)) |
(+ (log (* x z)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))) |
(+ (log (* x z)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) |
(+ (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))))) |
(+ (log (* -1 z)) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (/ x y))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))) |
(* -1/2 (log t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(* a (log t)) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* -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))) |
(* (+ (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 y) (* -1/2 (log t))) |
(+ (log y) (* -1/2 (log t))) |
(+ (log y) (* -1/2 (log t))) |
(+ (log y) (* -1/2 (log t))) |
(+ (log y) (* 1/2 (log (/ 1 t)))) |
(+ (log y) (* 1/2 (log (/ 1 t)))) |
(+ (log y) (* 1/2 (log (/ 1 t)))) |
(+ (log y) (* 1/2 (log (/ 1 t)))) |
(+ (log y) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) |
(+ (log y) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) |
(+ (log y) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) |
(+ (log y) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) |
(+ (log y) (* -1/2 (log t))) |
(+ (log y) (* -1/2 (log t))) |
(+ (log y) (* -1/2 (log t))) |
(+ (log y) (* -1/2 (log t))) |
(+ (* -1 (log (/ 1 y))) (* -1/2 (log t))) |
(+ (* -1 (log (/ 1 y))) (* -1/2 (log t))) |
(+ (* -1 (log (/ 1 y))) (* -1/2 (log t))) |
(+ (* -1 (log (/ 1 y))) (* -1/2 (log t))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/2 (log t)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/2 (log t)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/2 (log t)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/2 (log t)))) |
| Outputs |
|---|
(+ (log z) (log (+ x y))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(* -1 t) |
(neg.f64 t) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(fma.f64 t (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 (+.f64 x y)) t)) (neg.f64 t)) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(fma.f64 t (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 (+.f64 x y)) t)) (neg.f64 t)) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(fma.f64 t (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 (+.f64 x y)) t)) (neg.f64 t)) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(neg.f64 (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (neg.f64 t)) t)) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(neg.f64 (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (neg.f64 t)) t)) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(neg.f64 (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (neg.f64 t)) t)) |
(- (+ (log z) (log (+ x y))) t) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (log (+ x y))) t) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (log (+ x y))) t) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (log (+ x y))) t) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(+.f64 (-.f64 (log.f64 (+.f64 x y)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(+.f64 (-.f64 (log.f64 (+.f64 x y)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(+.f64 (-.f64 (log.f64 (+.f64 x y)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(+.f64 (-.f64 (log.f64 (+.f64 x y)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(- (+ (log x) (log z)) t) |
(+.f64 (log.f64 z) (-.f64 (log.f64 x) t)) |
(- (+ (log x) (+ (log z) (/ y x))) t) |
(+.f64 (log.f64 z) (+.f64 (log.f64 x) (-.f64 (/.f64 y x) t))) |
(- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) t) |
(+.f64 (log.f64 z) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 x) t))) |
(- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) t) |
(+.f64 (fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (log.f64 z)) (-.f64 (log.f64 x) t)) |
(- (+ (log z) (* -1 (log (/ 1 y)))) t) |
(+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) t) |
(+.f64 (+.f64 (/.f64 x y) (log.f64 y)) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) t) |
(+.f64 (log.f64 z) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (-.f64 (log.f64 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) |
(+.f64 (log.f64 z) (+.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 x y))) (-.f64 (log.f64 y) t))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t) |
(+.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) t) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (/.f64 x y) t))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) t) |
(+.f64 (-.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) y) (neg.f64 x)) y)) (-.f64 (log.f64 #s(literal -1 binary64)) 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) |
(+.f64 (-.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (neg.f64 y)) x) y)) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(- (+ (log y) (log z)) t) |
(+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) |
(- (+ (log y) (+ (log z) (/ x y))) t) |
(+.f64 (+.f64 (/.f64 x y) (log.f64 y)) (-.f64 (log.f64 z) t)) |
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t) |
(+.f64 (log.f64 z) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (-.f64 (log.f64 y) t))) |
(- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t) |
(+.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (log.f64 z)) (-.f64 (log.f64 y) t)) |
(- (+ (log z) (* -1 (log (/ 1 x)))) t) |
(+.f64 (log.f64 z) (-.f64 (log.f64 x) t)) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t) |
(+.f64 (log.f64 z) (+.f64 (log.f64 x) (-.f64 (/.f64 y x) t))) |
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(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 a (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))))) t) (neg.f64 t) t) |
(* -1 (* t (- (/ (* a (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1 (* 1/2 (/ 1 a))))) t) 1))) |
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 a (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))))) t) (neg.f64 t) t) |
(+ (log z) (log (+ x y))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(+ (log z) (log (+ x y))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(+ (log z) (log (+ x y))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(+ (log z) (log (+ x y))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) |
(-.f64 (log.f64 (-.f64 (neg.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z))) |
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) |
(-.f64 (log.f64 (-.f64 (neg.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z))) |
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) |
(-.f64 (log.f64 (-.f64 (neg.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z))) |
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) |
(-.f64 (log.f64 (-.f64 (neg.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z))) |
(log (* y z)) |
(log.f64 (*.f64 z y)) |
(+ (log (* y z)) (/ x y)) |
(+.f64 (/.f64 x y) (log.f64 (*.f64 z y))) |
(+ (log (* y z)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (log.f64 (*.f64 z y))) |
(+ (log (* y z)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (log.f64 (*.f64 z y))) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(+.f64 (log.f64 z) (+.f64 (log.f64 x) (/.f64 y x))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(+.f64 (log.f64 z) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 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))))) |
(+.f64 (+.f64 (log.f64 z) (log.f64 x)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 x (*.f64 x x)))) (/.f64 y x)))) |
(+ (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 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x) (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 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 (*.f64 y y) x)) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 x)) y) x)) |
(log (* x z)) |
(log.f64 (*.f64 z x)) |
(+ (log (* x z)) (/ y x)) |
(+.f64 (/.f64 y x) (log.f64 (*.f64 z x))) |
(+ (log (* x z)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 (*.f64 z x))) |
(+ (log (* x z)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (log.f64 (*.f64 z x))) |
(+ (log z) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 z) (log.f64 y)) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) |
(+.f64 (log.f64 z) (+.f64 (/.f64 x y) (log.f64 y))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(+.f64 (log.f64 z) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (log.f64 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))))) |
(+.f64 (log.f64 z) (+.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (log.f64 y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) |
(+ (log (* -1 z)) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (/ x y))) |
(+.f64 (-.f64 (/.f64 x y) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z))) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) y) (neg.f64 x)) y)) |
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (neg.f64 y)) x) y)) |
(* -1/2 (log t)) |
(*.f64 #s(literal -1/2 binary64) (log.f64 t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* a (log t)) |
(*.f64 a (log.f64 t)) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a) (log.f64 t))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a) (log.f64 t))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a) (log.f64 t))) |
(* a (log t)) |
(*.f64 a (log.f64 t)) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(neg.f64 (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 t)) a) (log.f64 t)))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(neg.f64 (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 t)) a) (log.f64 t)))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(neg.f64 (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 t)) a) (log.f64 t)))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(neg.f64 (*.f64 (log.f64 t) (-.f64 (neg.f64 a) #s(literal -1/2 binary64)))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(neg.f64 (*.f64 (log.f64 t) (-.f64 (neg.f64 a) #s(literal -1/2 binary64)))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(neg.f64 (*.f64 (log.f64 t) (-.f64 (neg.f64 a) #s(literal -1/2 binary64)))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(neg.f64 (*.f64 (log.f64 t) (-.f64 (neg.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)) |
(*.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 y) (* -1/2 (log t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (log y) (* -1/2 (log t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (log y) (* -1/2 (log t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (log y) (* -1/2 (log t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (log y) (* 1/2 (log (/ 1 t)))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (log y) (* 1/2 (log (/ 1 t)))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (log y) (* 1/2 (log (/ 1 t)))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (log y) (* 1/2 (log (/ 1 t)))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (log y) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (log.f64 y)) |
(+ (log y) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (log.f64 y)) |
(+ (log y) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (log.f64 y)) |
(+ (log y) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (log.f64 y)) |
(+ (log y) (* -1/2 (log t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (log y) (* -1/2 (log t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (log y) (* -1/2 (log t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (log y) (* -1/2 (log t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (* -1 (log (/ 1 y))) (* -1/2 (log t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (* -1 (log (/ 1 y))) (* -1/2 (log t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (* -1 (log (/ 1 y))) (* -1/2 (log t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (* -1 (log (/ 1 y))) (* -1/2 (log t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 y)) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/2 (log t)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/2 (log t)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/2 (log t)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/2 (log t)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) |
| 4 870× | lower-/.f32 |
| 4 862× | lower-/.f64 |
| 3 912× | lower-*.f32 |
| 3 900× | lower-fma.f32 |
| 3 896× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 488 |
| 0 | 118 | 473 |
| 1 | 535 | 467 |
| 2 | 4284 | 455 |
| 0 | 10064 | 445 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t)) |
(*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (neg.f64 t))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) |
(*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t))) |
#s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
(fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) |
(/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t)) |
(-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t) |
(+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) |
#s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(*.f64 (log.f64 t) a) |
(/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) |
#s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a)) |
(*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))) |
(log.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y)) |
| Outputs |
|---|
(+.f64 (neg.f64 t) (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)) (neg.f64 t)) |
(-.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)) t) |
(-.f64 #s(literal 0 binary64) (-.f64 t (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64) (neg.f64 (neg.f64 t)))) (/.f64 (*.f64 t t) (fma.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64) (neg.f64 (neg.f64 t))))) |
(-.f64 (fma.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64) #s(literal 0 binary64)) t) |
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(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 y x) z)) (*.f64 (log.f64 (*.f64 z (+.f64 y x))) (log.f64 (/.f64 (+.f64 y x) z)))) #s(literal -1 binary64)) |
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(*.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) (log.f64 (/.f64 (+.f64 y x) z))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 y x) z)))) |
(*.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) (log.f64 (/.f64 z (+.f64 y x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 y x))))) |
(*.f64 (log.f64 t) a) |
(*.f64 (log.f64 t) (*.f64 a #s(literal 1 binary64))) |
(*.f64 a (log.f64 t)) |
(*.f64 (*.f64 (log.f64 t) a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) a)) |
(*.f64 (*.f64 #s(literal 1 binary64) a) (log.f64 t)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 y) (-.f64 (log.f64 y) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (*.f64 (log.f64 t) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64)))) (-.f64 (log.f64 y) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 y) (-.f64 (log.f64 y) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))))) (neg.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (log.f64 y) (-.f64 (log.f64 y) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 (log.f64 y) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y)))) |
Compiled 50 875 to 3 116 computations (93.9% saved)
49 alts after pruning (45 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 848 | 9 | 1 857 |
| Fresh | 3 | 36 | 39 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 854 | 49 | 1 903 |
| Status | Accuracy | Program |
|---|---|---|
| 59.6% | (/.f64 (fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) | |
| 36.8% | (/.f64 #s(approx (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) | |
| 78.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) t))) | |
| 69.3% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (neg.f64 (log.f64 t)) (*.f64 (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) t) t))) | |
| 31.1% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a))) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 t a)) (/.f64 (*.f64 t t) (*.f64 a a))))))) | |
| 37.6% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (*.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 a a)) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 t a))))))) | |
| 44.0% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 (log.f64 t))))))) | |
| 56.7% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) #s(approx (* a (- (/ t a) (* (log t) (+ 1 (/ -1/2 a))))) (fma.f64 (*.f64 t a) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) t)) t)))) | |
| 44.4% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) #s(approx (* a (- (/ t a) (* (log t) (+ 1 (/ -1/2 a))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 (*.f64 a (log.f64 t))))))) | |
| 25.6% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 z y))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) | |
| 13.7% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 z x))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) | |
| 51.9% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))) | |
| 59.9% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (/.f64 (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64))) (+.f64 a #s(literal 1/2 binary64))))) | |
| 49.2% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) | |
| 44.4% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (neg.f64 (log.f64 t))))) | |
| 69.2% | (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 t (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) #s(literal 1 binary64))))) | |
| 30.1% | (-.f64 #s(approx (log (* (+ x y) z)) (+.f64 (log.f64 z) (log.f64 y))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) | |
| 33.1% | (+.f64 (-.f64 (+.f64 (/.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (log.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))) (log.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))) (+.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (log.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 99.6% | (+.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))))) | |
| 49.2% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))) | |
| 99.6% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (+.f64 (log.f64 z) (-.f64 (log.f64 y) t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) | |
| 80.8% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 80.8% | (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) | |
| 37.7% | #s(approx (/ (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (* (+ a 1/2) (/ 1 (- (log (* (+ x y) z)) t)))) (*.f64 (log.f64 t) a)) | |
| 69.2% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (fma.f64 t (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (neg.f64 t))) | |
| 31.1% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 z x))) t)) | |
| 78.8% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) t)) | |
| 69.2% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t) (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal -1 binary64))))) | |
| 67.1% | #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 a (-.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 (*.f64 z (+.f64 y x))) a)) (/.f64 t a)))) | |
| 71.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t (log.f64 z))) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)))) | |
| 7.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) | |
| 16.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) | |
| ✓ | 62.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t)) |
| 80.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)) | |
| 78.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 (log.f64 t) a)) t)) | |
| 36.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (+.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) #s(literal 2 binary64)) (fma.f64 t t (*.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) t)))))) | |
| 58.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))))) | |
| 86.4% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (fma.f64 t (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (/.f64 (log.f64 z) t)) (neg.f64 t))))) | |
| 44.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (neg.f64 t)))) | |
| 67.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (/.f64 t (neg.f64 a)))) a)) | |
| 64.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (fma.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 z) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log.f64 z) a) (-.f64 (/.f64 (log.f64 z) a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)))) (/.f64 (-.f64 (log.f64 (+.f64 x y)) t) a)))) | |
| 67.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 z) a) #s(literal 2 binary64))) (/.f64 a (log.f64 (+.f64 x y))) (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) (/.f64 a (log.f64 (+.f64 x y))))) (/.f64 t a)))) | |
| 65.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 z) a) #s(literal 2 binary64))) a (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) (log.f64 (+.f64 x y)))) (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) a)) (/.f64 t a)))) | |
| 17.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))))) | |
| 22.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))))) | |
| ✓ | 26.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
| 26.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 #s(literal -1 binary64) (/.f64 a t))))) | |
| ✓ | 26.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) |
| ✓ | 41.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
Compiled 3 257 to 1 101 computations (66.2% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
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#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (+.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) #s(literal 2 binary64)) (fma.f64 t t (*.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) t)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) #s(literal 3 binary64)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) (fma.f64 (/.f64 t a) (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (/.f64 t a))) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) #s(literal 2 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 z) a) #s(literal 2 binary64))) a (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) (log.f64 (+.f64 x y)))) (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) a)) (/.f64 t a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (fma.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 z) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log.f64 z) a) (-.f64 (/.f64 (log.f64 z) a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)))) (/.f64 (-.f64 (log.f64 (+.f64 x y)) t) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (-.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 z) a) #s(literal 2 binary64))) (/.f64 a (log.f64 (+.f64 x y))) (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (log.f64 z) a)) (/.f64 a (log.f64 (+.f64 x y))))) (/.f64 t a)))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 t) a) (*.f64 (log.f64 t) a) (-.f64 (*.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (*.f64 (*.f64 (log.f64 t) a) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) |
11 calls:
| 31.0ms | (+.f64 x y) |
| 30.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 27.0ms | a |
| 26.0ms | z |
| 25.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | t |
| 99.7% | 1 | a |
| 99.7% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 99.7% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 99.7% | 1 | (log.f64 (+.f64 x y)) |
| 99.7% | 1 | (+.f64 x y) |
| 99.7% | 1 | (log.f64 z) |
| 99.7% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 95 to 75 computations (21.1% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 #s(literal -1 binary64) (/.f64 a t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))))) |
#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))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (neg.f64 t)))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 (log.f64 t) a)) |
#s(approx (/ (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (* (+ a 1/2) (/ 1 (- (log (* (+ x y) z)) t)))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 (log.f64 t) a)) t)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 z x))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 z y))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
(/.f64 #s(approx (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) t)) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 z x))) t)) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (neg.f64 (log.f64 t))))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(-.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) t) |
(-.f64 #s(approx (log (* (+ x y) z)) (+.f64 (log.f64 z) (log.f64 y))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(-.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) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 t (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) #s(literal 1 binary64))))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (/.f64 (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64))) (+.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) #s(approx (* a (- (/ t a) (* (log t) (+ 1 (/ -1/2 a))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 (*.f64 a (log.f64 t))))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (*.f64 (neg.f64 (log.f64 t)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 (log.f64 t))))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (neg.f64 (log.f64 t)) (*.f64 (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) t) t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t #s(approx (* (+ a -1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) t))) |
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (*.f64 t (log.f64 (*.f64 z (+.f64 x y)))) (/.f64 #s(literal 1 binary64) t) (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (fma.f64 t (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (neg.f64 t))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t) (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal -1 binary64))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) #s(approx (* a (- (/ t a) (* (log t) (+ 1 (/ -1/2 a))))) (fma.f64 (*.f64 t a) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) t)) t)))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 a (-.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 (*.f64 z (+.f64 y x))) a)) (/.f64 t a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (/.f64 t (neg.f64 a)))) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 y))) (log.f64 z)) t)) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)) |
11 calls:
| 21.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| 15.0ms | (+.f64 x y) |
| 15.0ms | y |
| 15.0ms | z |
| 15.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 3 | x |
| 87.6% | 3 | y |
| 88.0% | 2 | z |
| 98.9% | 2 | t |
| 99.0% | 3 | a |
| 97.9% | 2 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 96.4% | 4 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 87.6% | 3 | (log.f64 (+.f64 x y)) |
| 87.6% | 3 | (+.f64 x y) |
| 88.0% | 2 | (log.f64 z) |
| 99.0% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 95 to 75 computations (21.1% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 #s(literal -1 binary64) (/.f64 a t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))))) |
#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))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (neg.f64 t)))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 (log.f64 t) a)) |
#s(approx (/ (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (* (+ a 1/2) (/ 1 (- (log (* (+ x y) z)) t)))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 (log.f64 t) a)) t)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 z x))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 z y))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
(/.f64 #s(approx (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) t)) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 z x))) t)) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (neg.f64 (log.f64 t))))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(-.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) t) |
(-.f64 #s(approx (log (* (+ x y) z)) (+.f64 (log.f64 z) (log.f64 y))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(-.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) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 t (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) #s(literal 1 binary64))))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (/.f64 (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64))) (+.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) #s(approx (* a (- (/ t a) (* (log t) (+ 1 (/ -1/2 a))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 (*.f64 a (log.f64 t))))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (*.f64 (neg.f64 (log.f64 t)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 (log.f64 t))))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (neg.f64 (log.f64 t)) (*.f64 (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) t) t))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t #s(approx (* (+ a -1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) t))) |
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (*.f64 t (log.f64 (*.f64 z (+.f64 x y)))) (/.f64 #s(literal 1 binary64) t) (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (fma.f64 t (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (neg.f64 t))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t) (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal -1 binary64))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a (-.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) #s(approx (* a (- (/ t a) (* (log t) (+ 1 (/ -1/2 a))))) (fma.f64 (*.f64 t a) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) t)) t)))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 a (-.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (log.f64 (*.f64 z (+.f64 y x))) a)) (/.f64 t a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 x y))) (/.f64 t (neg.f64 a)))) a)) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)) |
5 calls:
| 46.0ms | a |
| 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))) |
| 14.0ms | t |
| 13.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 13.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.0% | 3 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 88.0% | 3 | a |
| 87.9% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
| 93.7% | 3 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 86.8% | 2 | t |
Compiled 53 to 41 computations (22.6% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 #s(literal -1 binary64) (/.f64 a t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))))) |
#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))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (neg.f64 t)))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 (log.f64 t) a)) |
#s(approx (/ (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (* (+ a 1/2) (/ 1 (- (log (* (+ x y) z)) t)))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 (log.f64 t) a)) t)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 z x))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 z y))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
(/.f64 #s(approx (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 (log.f64 t) a)) t)) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)) |
2 calls:
| 29.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 7.0ms | (+.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 |
|---|---|---|
| 92.9% | 3 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 80.8% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
Compiled 33 to 24 computations (27.3% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 #s(literal -1 binary64) (/.f64 a t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))))) |
#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))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (neg.f64 t)))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 (log.f64 t) a)) |
#s(approx (/ (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (* (+ a 1/2) (/ 1 (- (log (* (+ x y) z)) t)))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 (log.f64 t) a)) t)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 z x))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 z y))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
(/.f64 #s(approx (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)) |
| Outputs |
|---|
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
10 calls:
| 38.0ms | (log.f64 z) |
| 29.0ms | t |
| 7.0ms | y |
| 7.0ms | (+.f64 x y) |
| 6.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 1 | x |
| 80.8% | 1 | y |
| 80.8% | 1 | (log.f64 (+.f64 x y)) |
| 80.8% | 1 | (+.f64 x y) |
| 80.8% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 80.8% | 1 | a |
| 80.8% | 1 | t |
| 80.8% | 1 | z |
| 80.8% | 1 | (log.f64 z) |
| 80.8% | 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 83 to 66 computations (20.5% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 #s(literal -1 binary64) (/.f64 a t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))))) |
#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))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (neg.f64 t)))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 (log.f64 t) a)) |
#s(approx (/ (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (* (+ a 1/2) (/ 1 (- (log (* (+ x y) z)) t)))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 (log.f64 t) a)) t)) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 z x))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 z y))) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (+ a -1/2) (log t))) (*.f64 a #s(approx (- (/ t a) (* (log t) (+ 1 (/ -1/2 a)))) (/.f64 t a))))) |
| 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:
| 10.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 8.0ms | (+.f64 x y) |
| 8.0ms | t |
| 7.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| 6.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 1 | a |
| 80.8% | 1 | z |
| 80.8% | 1 | (log.f64 z) |
| 80.8% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 80.8% | 1 | x |
| 80.8% | 1 | t |
| 80.8% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 80.8% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 80.8% | 1 | y |
| 80.8% | 1 | (log.f64 (+.f64 x y)) |
| 80.8% | 1 | (+.f64 x y) |
Compiled 95 to 75 computations (21.1% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 #s(literal -1 binary64) (/.f64 a t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))))) |
#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))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (neg.f64 t)))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 (log.f64 t) a)) |
#s(approx (/ (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (* (+ a 1/2) (/ 1 (- (log (* (+ x y) z)) t)))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 (log.f64 t) a)) t)) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 (log.f64 t) a)) t)) |
11 calls:
| 7.0ms | y |
| 6.0ms | x |
| 6.0ms | a |
| 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))) |
| 4.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.0% | 1 | a |
| 78.0% | 1 | z |
| 78.0% | 1 | (log.f64 z) |
| 78.0% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 78.0% | 1 | x |
| 78.0% | 1 | t |
| 78.0% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 78.0% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 78.0% | 1 | y |
| 78.0% | 1 | (log.f64 (+.f64 x y)) |
| 78.0% | 1 | (+.f64 x y) |
Compiled 95 to 75 computations (21.1% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 #s(literal -1 binary64) (/.f64 a t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))))) |
#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))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (neg.f64 t)))) |
#s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (*.f64 (log.f64 t) a)) |
#s(approx (/ (+ (* (* (+ (* a a) -1/4) (log t)) (/ 1 (- (log (* (+ x y) z)) t))) (* (+ a 1/2) 1)) (* (+ a 1/2) (/ 1 (- (log (* (+ x y) z)) t)))) (*.f64 (log.f64 t) a)) |
| Outputs |
|---|
#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))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (neg.f64 t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
11 calls:
| 6.0ms | y |
| 6.0ms | (+.f64 x y) |
| 4.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 4.0ms | (log.f64 (+.f64 x y)) |
| 4.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.9% | 2 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 48.1% | 3 | x |
| 46.9% | 2 | y |
| 66.1% | 2 | t |
| 70.4% | 3 | a |
| 67.2% | 3 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 46.9% | 2 | (log.f64 (+.f64 x y)) |
| 46.9% | 2 | (+.f64 x y) |
| 49.2% | 4 | z |
| 49.2% | 4 | (log.f64 z) |
| 70.4% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 95 to 75 computations (21.1% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 #s(literal -1 binary64) (/.f64 a t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
| Outputs |
|---|
#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)) |
3 calls:
| 3.0ms | t |
| 3.0ms | a |
| 3.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.1% | 2 | t |
| 67.5% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
| 67.5% | 3 | a |
Compiled 20 to 17 computations (15% saved)
Total -24.4b remaining (-64.9%)
Threshold costs -24.4b (-64.9%)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (neg.f64 a))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (*.f64 (/.f64 #s(literal -1 binary64) a) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 #s(literal -1 binary64) (/.f64 a t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a #s(approx (- (+ (+ (* (log t) (+ 1 (/ -1/2 a))) (/ (log z) a)) (/ (log (+ y x)) a)) (/ t a)) (/.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
11 calls:
| 4.0ms | (+.f64 x y) |
| 3.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 3.0ms | z |
| 3.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.2% | 1 | z |
| 41.2% | 1 | (log.f64 z) |
| 41.2% | 1 | x |
| 41.2% | 1 | y |
| 41.2% | 1 | (log.f64 (+.f64 x y)) |
| 41.2% | 1 | (+.f64 x y) |
| 41.2% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 41.2% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 41.2% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 41.2% | 1 | a |
| 41.2% | 1 | t |
Compiled 95 to 75 computations (21.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 6.196273648704056e-21 | 1.0202096206558186e-17 |
| 13.0ms | 128× | 0 | valid |
Compiled 312 to 215 computations (31.1% saved)
ival-log: 4.0ms (47.8% of total)ival-add: 2.0ms (23.9% of total)ival-sub: 1.0ms (11.9% of total)ival-mult: 1.0ms (11.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 607.9343707764563 | 609.8025835188753 |
| 0.0ms | -828.5418807752661 | -730.0296744505686 |
Compiled 24 to 23 computations (4.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 859.9967204035078 | 880.7065521915366 |
| 0.0ms | -7.764057863639958e+27 | -9.73997271399991e+19 |
Compiled 24 to 23 computations (4.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.3199254196325877e+85 | 5.1671325171360225e+85 |
| 33.0ms | -5.58572593083823e+118 | -1.7305076488057346e+113 |
| 35.0ms | 224× | 0 | valid |
Compiled 360 to 261 computations (27.5% saved)
ival-log: 8.0ms (55.4% of total)ival-add: 3.0ms (20.8% of total)ival-sub: 2.0ms (13.8% of total)ival-mult: 1.0ms (6.9% 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 |
|---|---|---|
| 19.0ms | 1.0941657704937453e+47 | 6.607544307808838e+49 |
| 12.0ms | 128× | 0 | valid |
Compiled 184 to 143 computations (22.3% saved)
ival-log: 4.0ms (49.4% of total)ival-add: 2.0ms (24.7% of total)ival-sub: 1.0ms (12.4% of total)ival-mult: 1.0ms (12.4% 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 |
| 42× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 14× | *-commutative_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 597 |
| 1 | 133 | 597 |
| 2 | 146 | 597 |
| 3 | 151 | 597 |
| 4 | 153 | 597 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) |
(if (<=.f64 t #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -800 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 608 binary64)) #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) 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 -4999999999999999791559868416 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 (log.f64 t) a)) 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 860 binary64)) (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
(+.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 (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 (log.f64 t) a)) t)) |
(if (<=.f64 a #s(literal -220000000000000010258230063429617729003073767065200282070003999236072295686779399749399908279360198562244059987968 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) (if (<=.f64 a #s(literal 28500000000000001107149448753290260126121811381845214434551304651377851897410146533376 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (neg.f64 t)))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)))) |
(if (<=.f64 t #s(literal 13999999999999998991249034338933129049096564244480 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)) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) |
(if (<=.f64 t #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t))) |
(if (<=.f64 t #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 z) #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 a (log.f64 t)))) t))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -800 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 608 binary64)) #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)))) |
(if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) #s(literal -800 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 z) #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 a (log.f64 t)))) t)) (if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) #s(literal 608 binary64)) #s(approx (- (log (* (+ x y) z)) (- t (* (+ a -1/2) (log t)))) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 y z))) t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 z) #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 a (log.f64 t)))) 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 -4999999999999999791559868416 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 (log.f64 t) a)) 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 860 binary64)) (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 (log.f64 t) a)) (log.f64 z)) t)))) |
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal -4999999999999999791559868416 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 a (log.f64 t))) t)) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal 860 binary64)) (-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) #s(approx (- t (* (+ a -1/2) (log t))) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 z) #s(approx (+ (* (log t) (+ a -1/2)) (log y)) (*.f64 a (log.f64 t)))) t)))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 (log.f64 t) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) #s(approx (* (- a 1/2) (log t)) (*.f64 (*.f64 a (log.f64 t)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))))) |
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 (log.f64 t) a)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (+ (* (log t) (+ a -1/2)) (log y)) (log z)) (*.f64 a (log.f64 t))) t)) |
(if (<=.f64 a #s(literal -220000000000000010258230063429617729003073767065200282070003999236072295686779399749399908279360198562244059987968 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) (if (<=.f64 a #s(literal 28500000000000001107149448753290260126121811381845214434551304651377851897410146533376 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (neg.f64 t)))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)))) |
(if (<=.f64 a #s(literal -220000000000000010258230063429617729003073767065200282070003999236072295686779399749399908279360198562244059987968 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) (if (<=.f64 a #s(literal 28500000000000001107149448753290260126121811381845214434551304651377851897410146533376 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 y) #s(approx (+ (* (log t) (+ a -1/2)) (- (log z) t)) (neg.f64 t)))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))))) |
(if (<=.f64 t #s(literal 13999999999999998991249034338933129049096564244480 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))) |
(if (<=.f64 t #s(literal 13999999999999998991249034338933129049096564244480 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)) |
| 16 372× | lower-fma.f64 |
| 16 372× | lower-fma.f32 |
| 9 650× | lower-fma.f64 |
| 9 650× | lower-fma.f32 |
| 9 482× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 325 |
| 0 | 85 | 315 |
| 1 | 425 | 309 |
| 2 | 3954 | 303 |
| 0 | 9650 | 297 |
| 0 | 970 | 17988 |
| 1 | 2910 | 17197 |
| 2 | 7743 | 17141 |
| 0 | 8138 | 16423 |
| 0 | 15 | 44 |
| 0 | 24 | 41 |
| 1 | 102 | 41 |
| 2 | 837 | 41 |
| 0 | 8280 | 40 |
| 0 | 1972 | 27006 |
| 1 | 6659 | 25745 |
| 0 | 8367 | 24636 |
| 0 | 1017 | 19909 |
| 1 | 3114 | 19061 |
| 0 | 8210 | 18295 |
| 0 | 382 | 3187 |
| 1 | 1101 | 3021 |
| 2 | 3506 | 2976 |
| 0 | 8311 | 2824 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 746 to 414 computations (44.5% saved)
Compiled 724 to 294 computations (59.4% saved)
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